Business Finance Notes (UGC NET Unit 4)

How to use this post

• Start revision with Priority 1-2 groups above — together they account for more than two in every five questions asked across 19 real exam cycles.
• Open the Syllabus Tree Map at the top of this post to jump straight from any topic to its real PYQs.
• The last column above shows the examiner’s most common question format for that topic — matching, assertion-reason, sequencing or numerical — so you know what to practise, not just what to read.
• Once you have revised a section, test yourself with the Practice MCQs (10 sets, 100 original questions) further down this post.
• Low-priority groups (6-7) still appear almost every cycle — do not skip them entirely, just revise them last.

Evolution of Financial Management (20th century)

• Traditional phase (up to the 1940s): focused mainly on the formation, issuance of capital, major expansion, mergers and liquidation across a firm’s life cycle; viewed predominantly from an outsider’s perspective — that of investment bankers, lenders and other outside interests.
• Transitional phase (1940s–1950s): similar to the traditional phase but with greater emphasis on the day-to-day problems financial managers actually face — fund analysis, planning and control — with the focus shifting toward working capital management.
• Modern phase (from the mid-1950s): drew on economic theory and quantitative methods — capital budgeting, capital structure theory, valuation methods, dividend policy, financial modelling, etc. Its defining features are wealth maximisation and a quantitative approach.

Meaning of Financial Management

Financial management is the effective and efficient utilisation of financial resources — creating a balance among financial planning, procurement of funds, profit administration (use of profit) and sources of funds.

Objectives of Financial Management

• Profit maximisation: the conventional view — firms adopt investment projects yielding larger profits and drop unprofitable activities; also called earnings-per-share maximisation.
• Wealth maximisation (also called value maximisation or net-present-worth maximisation): the more widely accepted criterion today, since it explicitly accounts for the time value of money. It satisfies the three requirements of a sound operational objective — quality of benefits, timing of benefits, and exactness/precision.

Scope of Financial Management

• Traditional approach (procurement of funds): limited the scope of FM to estimating finance requirements, arranging funds from financial institutions, arranging funds through instruments like shares, debentures, bonds and loans, and handling the accounting/legal work connected with raising funds.
• Modern approach (effective utilisation of funds): covers both the acquisition of funds and their allocation — financial management is broken down into three major decisions: the investment decision, the financing decision, and the dividend policy decision.

Functions (decisions) of Financial Management

1. Investment decision: selecting which assets funds will be committed to. Two types: (a) capital budgeting decisions — deciding which long-term asset(s) are best to invest in, evaluated via techniques such as payback, ARR, NPV, IRR, etc.; and (b) working capital decisions — short-term decisions managing current assets (cash and equivalents, inventories, debtors) and short-term financing so that cash flows and returns stay acceptable.
2. Financing decision: concerns the financing-mix, capital structure, or leverage — the proportion of debt (fixed-interest financing) versus equity capital (variable-dividend sources) used to finance the firm’s investment requirements.
3. Dividend policy decision: whether a firm’s profits should be distributed to shareholders as dividends, or retained in the business — analysed in relation to the firm’s financing decision.

Sources of finance

A. Long-term sources

• Shares — represent an ownership stake in the company, divided into units; a shareholder’s shares are movable property, transferable as permitted by the Articles of Association.
  • Equity shares: also called ordinary shares; holders are the company’s real owners with voting rights; irredeemable; known as a variable-income security (dividend varies with profits).
  • Preference shares: a hybrid source with features of both equity and debt. Preference shareholders enjoy two preferences over equity shareholders — a preference in payment of dividend, and a preference in repayment of capital on liquidation of the company. A fixed rate of dividend is paid, and holders have no voting rights and hence no say in management; preference ranks below creditors, but unlike interest on bonds, declaring the dividend is not obligatory and need not be paid in a year of inadequate profits, and preference shareholders cannot take legal action for non-declaration.
    • Cumulative preference shares: the right to claim dividend accumulates — any dividend not paid in a lean year carries forward as arrears to be paid in a later, profitable year. Non-cumulative preference shares: holders have no claim to arrears of unpaid dividend in subsequent years.
    • Redeemable preference shares: the company can issue these if its Articles of Association permit, and has an obligation to return the capital after a certain period (subject to Companies Act restrictions); redemption is funded out of profits or out of a fresh issue of capital, and shares to be redeemed must be fully paid up. Non-redeemable (irredeemable) preference shares: cannot be redeemed unless the company itself is liquidated.
    • Participating preference shares: holders participate in the company’s surplus profits — they are first paid their fixed preference dividend, then a reasonable dividend is paid on equity shares, and any profit still remaining is shared between preference and equity holders in the manner specified in the Articles of Association. Non-participating preference shares: holders receive only the fixed rate of dividend, with no share in surplus profits.
    • Convertible preference shares: holders may be given the right (as authorised by the Articles of Association) to convert their holding into equity shares after a specified period. Non-convertible preference shares: holders have no such right of conversion.
    • Convertible Cumulative Preference (CCP) shares: introduced by the Government in 1985; any public limited company can issue CCPs to raise funds for new projects, expansion and diversification, up to an amount equivalent to what it could have raised via an equity issue to the public; they carry a fixed dividend of 10% and the entire amount becomes convertible into equity shares between three and five years from issue. CCPs are typically used to fund new projects, expansion/diversification of existing projects, normal capital expenditure for modernisation, and working-capital requirements.
• Debentures: instruments issued by a company under its common seal, acknowledging a debt; carry a fixed interest rate; no voting rights; usually secured against assets.
• Term loan: a debt-finance source generally repayable in more than 1 year but less than 10 years.
• Lease financing: a contractual arrangement where an asset’s owner grants another party the right to use the asset against periodic payment, with the asset reverting to the owner (lessor) at the end of the agreed period.
• Venture capital: capital made available to finance new/early-stage businesses; an angel investor is an individual investor who supports start-ups.
• Internal accruals: cash profits generated by the business and reinvested rather than paid out as dividend. Cash profit = Profit after tax + Depreciation + Interest on debt.

B. Short-term sources

• Accruals, trade credit, working capital advance by commercial banks, public deposits, and inter-corporate deposits.
• Commercial Paper (CP): a money-market instrument; unsecured and negotiable; issued in the form of a promissory note by highly rated companies; carries a relatively high interest rate precisely because it is unsecured; issued for a minimum of 7 days and maximum of 364 days; sold at a discount and redeemed at face value; issued in multiples of ₹5 lakh.
• Treasury Bills (T-Bills): short-term (up to 1 year) borrowing instruments of the Government of India (or another country’s central authority), letting investors park short-term surplus funds with minimal market risk; auctioned by the RBI at regular intervals and issued at a discount to face value. T-Bills carry zero risk weightage (sovereign-backed) and high liquidity given their short maturities. First issued in India in 1917; currently active as 91-day, 182-day and 364-day T-Bills. (Commercial bills, by contrast, are issued by financial institutions, not the government.)
• Factoring: a financial transaction and a form of debtor finance in which a business sells its accounts receivable to a third party (the “factor”) — often receiving payment in advance — typically used to meet present-day cash needs.
• Private equity: investors/funds that invest directly in private companies; generally not high-risk-takers, investing in relatively reliable companies; mostly made up of institutional investors; the usual holding period in a company is around 3–6 years.

A lease is a contract whereby the owner of an asset (the lessor) grants another party (the lessee) the exclusive right to use the asset, usually for an agreed period, in exchange for periodic rent — a payment known as the lease rental. Ownership of the asset remains with the lessor throughout; at the end of the lease term, the asset is returned to the lessor, or the lessee may be given the option to purchase it or renew the agreement. Leasing essentially separates the ownership, financing and risk-bearing of an asset, letting these be shared among two or more parties — for instance, the lessor may finance the asset while the lessee bears the risk of its use, or the lessor may both finance and own it while the lessee simply uses it and bears the usage risk.

Leasing grew into a major industry in the USA and UK before spreading elsewhere. In India, the concept was pioneered in 1973 with the first leasing company set up in Madras, with rapid growth of the leasing business through the 1980s.

Evolution of leasing in India

• Pre-1970: only hire-purchase (HP) companies financed, mainly automobile financing for commercial vehicles.
• 1970–1995: entry into equipment financing via leasing and hire purchase; commencement of car finance; a few companies diversified into related financial services and gained access to capital markets.
• Post-1995: exit of a large number of (both small and large, Indian and foreign) companies from the sector, alongside RBI regulation of the industry.

Features of leasing

• Involves two parties (lessor and lessee).
• Selection and purchase of the asset (typically by the lessor, per the lessee’s specification).
• Use of the asset by the lessee.
• Rental/instalment payments by the lessee.
• Recovery of the asset’s cost by the lessor over the lease term.
• An option for the lessee to eventually acquire ownership of the asset.

Leasing is marketed across a wide range of assets for both consumers and businesses — plant and machinery, business cars, commercial vehicles, agricultural equipment, hotel equipment, medical/dental equipment, computers (including software), office equipment, etc. Note: leasing does not apply to intangible goods.

Types of lease — by nature

1. Finance lease (Full Payout Lease)

The lessor transfers substantially all the risks and rewards of ownership to the lessee; ownership is generally transferred to the lessee at the end of the asset’s economic life. The lease term spans most of the asset’s useful life, with the lessor acting essentially as a pure financier. Example: large industrial equipment. A finance lease cannot be cancelled, and its duration generally equals the asset’s useful life; it is shown as a liability on the balance sheet.

2. Operating lease

Risk and reward are not fully transferred to the lessee; the agreement can be cancelled before expiry with prior notice, and the lease term is much shorter relative to the asset’s useful life. The lessor relies on multiple successive lessees to recover costs, and — beyond financing — often also provides additional services related to using the asset. Example: a music system leased along with its operating technicians. Ownership, risk and reward remain with the lessor, and the lease duration is shorter than the asset’s useful life.

Types of lease — by method

• Direct lease: the asset’s owner (lessor) leases it directly to the user (lessee), with no intermediary — e.g. a vehicle manufacturer leasing cars directly to a business for corporate use.
• Sale and leaseback: the lessee first sells an asset it already owns to the lessor (financier), then immediately leases it back for a fixed periodic rental — used by businesses wanting to free up money tied up in an asset while continuing to use it. Common in real estate investment trusts (REITs) and the aviation industry.
• Single-investor lease: only one lender/investor finances the leased asset — e.g. a bank buys machinery and leases it to a manufacturer, with lease payments going directly to that bank. Common in straightforward equipment financing.
• Leveraged lease: the lessor finances the asset purchase using a mix of its own funds and borrowed money, “leveraging” the investment with debt — e.g. a leasing company funds 20% of an aircraft’s cost itself and borrows the remaining 80% from a bank; lease payments from the airline (lessee) are used to service that loan and generate profit for the lessor. Commonly used for costly assets such as aircraft, ships, and large industrial equipment.

Domestic vs. international lease / sub-lease: a domestic lease has all parties resident in the same country. An international lease is of two kinds — an import lease (lessor and lessee are in the same country, but the equipment supplier is in a different country) and a cross-border lease (lessor and lessee are themselves in two different countries, e.g. leasing of aircraft). International leasing describes a leasing company operating through branches in several countries at once — active, for example, in the US, Japan and Hong Kong. A sub-lease occurs when the original lessee leases the asset on to a third party (the sub-lessee) while remaining responsible for the original lease agreement with the lessor — e.g. a company renting office space subleases part of it to a start-up while still paying the landlord.

A few further lease variants

• Net lease: a variant of the operating lease in which the lessor is not concerned with repairs, maintenance or servicing of the leased property — the lessor does not provide for repair/maintenance/servicing, purchase of spare parts and accessories, or a replacement/substitute asset, and does not arrange insurance for the lessee; these responsibilities and costs fall on the lessee instead.
• Conveyance-type lease: a very long-term lease applicable to immovable property (land/buildings), with the objective of conveying title in the property to the lessee; lease periods can run as long as 99 to 999 years.
• Partial pay-out lease: the full payment for use of the asset is recovered across several successive lease agreements rather than in a single lease.
• Wet lease vs. dry lease (common in aviation): in a wet lease, the lessor provides the aircraft together with the crew, and remains responsible for the aircraft’s operational maintenance — it is somewhat costlier, and (per DGCA rules) is permitted only in emergency situations, generally for up to three months with one further three-month extension. In a dry lease, the lessor provides only the aircraft, without crew or ground staff; the lessee is responsible for crew training, maintenance costs and staffing, operates the aircraft under its own air operator’s certificate, and retains full control of the flying experience — dry leasing is permitted for up to 12 months, extendable by a further 12 months.

Advantages of lease financing

To the lessor: assured, regular rental income over the lease period; preservation of ownership (in a finance lease, risks/rewards transfer to the lessee, but legal ownership stays with the lessor); tax benefits via depreciation on the leased asset; and generally high profitability, since the return on lease rentals typically exceeds the interest the lessor would otherwise pay to finance the asset itself.

To the lessee: use of capital goods without a large upfront outlay — paying only a modest periodic rental instead; tax benefits, since lease payments are deductible as a business expense; generally cheaper than most other financing sources; technical assistance from the lessor regarding the asset; inflation-friendliness, since rent stays fixed even if the asset’s cost rises; and, after the primary lease period, an option to acquire the asset for a nominal additional amount.

Disadvantages of lease financing

To the lessor: unprofitable during inflation, since the lease rental is fixed and cannot be raised even as the asset’s cost rises; possible double taxation (sales tax charged both at the asset’s original purchase and again when it is leased); and a greater risk of the asset being damaged, since the lessee — not being the owner — may use it carelessly, sometimes leaving it unusable by the end of the lease.

To the lessee: compulsion, since a finance lease is non-cancellable, requiring rental payments even if the asset is no longer wanted; the lessee never becomes the owner, so the asset’s benefits (and any residual value) stay with the lessor; overall cost can exceed other financing sources, since the lessee pays both the rental and various costs incidental to using the asset; and understatement of assets, since a leased asset (not being owned) cannot be shown on the lessee’s own balance sheet, understating its asset base.

Time Value of Money (TVM)

Time Value of Money refers to the fact that money received today is worth more than the same amount receivable at some point in the future — put the other way round, money receivable in the future is less valuable than money received today. For example, given a choice between receiving ₹1,000 today or the same ₹1,000 after one year, a rational individual will always choose to receive it today, because a rupee in hand today has a higher value than a rupee receivable in the future. This preference for current money over future money is called the time preference for money, or simply TVM.

Reasons for the time value of money

• Risk and uncertainty: the future is always uncertain and risky; cash outflows are within our control since we make the payments ourselves, but future cash inflows depend on others (debtors, banks, etc.) and are therefore uncertain — so immediate cash is preferred over an uncertain future receipt.
• Preference for consumption: most people subjectively prefer consuming goods and services now rather than later, whether from urgency of present wants, the risk of not living to enjoy future consumption (illness, death), or inflation eroding future value; since money is the means of acquiring goods and services, people prefer to have it now.
• Investment opportunities: an investor can profitably employ a rupee received today so that it grows to a higher value by a future date.
• Inflationary economy: in an inflationary economy, money received today has greater purchasing power than the same money received later — a rupee today represents more real purchasing power than a rupee a year from now.

Techniques of TVM

TVM is handled through two complementary techniques: compounding (finding the future value of a present sum) and discounting (finding the present value of a future sum).

Compounding / Future Value: under compounding, interest earned is added to the principal at the end of each compounding period and itself starts earning interest in subsequent periods (annual, semi-annual, quarterly or monthly compounding). Formula: A = P(1+i)ⁿ, where A = amount at the end of the period, P = principal at the start, i = interest rate, n = number of periods. For compounding more than once a year: A = P(1+i/m)^(n×m), where m = number of compounding periods per year.

Businesses use future-value calculations to decide how much an investment will grow, to set savings targets, to price loans so that principal and interest are recovered, and to gauge the future value of recurring income streams such as rent or royalties.

The Rule of 72: a quick shortcut to estimate how many years it takes an investment to double at a given fixed annual rate, without doing a full compound-interest calculation: Years to double ≈ 72 ÷ annual rate (in %). For example, at a 6% return, money doubles in about 72/6 = 12 years; at 12%, in about 72/12 = 6 years. The same logic applies to how fast prices double under a given inflation rate, or how fast a debt balance doubles under a given interest rate (e.g. a 24% credit-card rate roughly doubles a balance in 72/24 = 3 years). It works best for rates between about 5% and 12%, is an approximation rather than exact math, and assumes annual (not more frequent) compounding.

Discounting / Present Value: discounting is the reverse process — determining the current worth of a future sum or stream of cash flows at a specified rate of return (the discount rate). Present value is also called discounted value.

Firms use present-value calculations to judge whether a capital project is economically viable, to compare competing projects’ cash flows, to check whether an acquisition creates value above its purchase price, and to decide the appropriate interest rate for a loan or bond.

Present value of a perpetuity: PV = (regular periodic cash flow) ÷ (discount rate). A growing perpetuity additionally builds in a growth rate that increases the cash flow each period.

Cost of Capital

The cost of capital is the minimum rate of return a firm must earn on its investments so that the market value of its equity shares does not fall — equivalently, the minimum rate of return expected by the firm’s investors. It is the weighted average cost of all the sources of finance a firm uses, and is also known as the cut-off rate, target cost, hurdle rate, minimum required rate of return, or standard cost.

The cost of each individual source of capital (debentures, preference shares, equity, retained earnings) is its specific cost; once each specific cost is found, they are combined — weighted by how much financing comes from each source — into the composite cost (overall/weighted cost of capital), i.e. WACC = Wd × Kd(1−t) + We × Ke (and similarly for preference capital and retained earnings).

Classification of cost of capital

• Historical cost vs. future cost: historical cost relates to a past event — the cost actually incurred in raising finance in the past — while future cost relates to a future event, i.e. an estimated cost of raising funds to finance a future project.
• Specific cost vs. composite cost: specific cost is the cost of one individual source of capital (cost of equity, cost of debt, cost of preference, cost of retained earnings taken separately), while composite cost — also called the average or overall cost of capital, or WACC — is the combined, weighted cost of all sources taken together.
• Explicit cost vs. implicit cost: explicit cost is the accounting cost actually paid out by the firm for using a source of finance (e.g. interest or dividend actually paid), while implicit cost is an opportunity cost — the return foregone on the next-best alternative use of funds, not an out-of-pocket payment.
• Average cost vs. marginal cost: average cost is the WACC computed on the firm’s existing capital structure, while marginal cost of capital is the cost of the additional funds raised by the company for a new project or expansion.

Factors affecting the cost of capital

• General economic conditions: these determine the overall demand and supply of capital in the economy and the expected level of inflation. If demand for funds rises without a matching rise in supply, lenders push up their required interest rate; and if inflation is expected to erode the rupee’s purchasing power, investors demand a higher return to compensate.
• Market conditions: as the risk of a security increases, investors demand a higher return (a risk premium) to make it attractive, which raises the firm’s cost of capital. A security that is not readily marketable, or whose price fluctuates a great deal, requires a relatively higher return; a security that is easily marketable with a reasonably stable price lets the investor accept a lower required return, lowering the firm’s cost of capital.
• The firm’s own operating and financing decisions: risk arising from decisions made within the company falls into business risk (variability of returns on assets, driven by investment decisions) and financial risk (added variability in returns to equity holders from using debt and preference capital). As either risk rises or falls, the investor’s required return — and hence the cost of capital — moves in the same direction.
• Amount of financing required: as a firm’s financing needs grow larger, its weighted cost of capital tends to rise — partly because issuing more securities adds flotation cost, and partly because approaching the market for unusually large amounts (relative to the firm’s size) makes investors more hesitant and pushes up the required return (“too much too soon”), making it harder to place the issue without depressing the security’s price.

Importance of cost of capital

• Capital budgeting decisions.
• Capital structure decisions.
• Other financing decisions.
• Evaluating financial performance.

Measurement of cost of capital

Cost of capital is measured source by source — cost of debt, cost of preference share capital, cost of equity share capital and cost of retained earnings — and then combined into the WACC.

• Cost of debt (debentures): may be computed before tax or after tax; since debenture interest is tax-deductible, the after-tax cost is what matters for decision-making. For irredeemable debentures (no fixed redemption date): Kd = Interest × (1 − tax rate) ÷ Net Proceeds, where Net Proceeds = Face value − discount on issue + premium on issue − issue expenses (brokerage, underwriting commission, printing, etc.). For redeemable debentures (fixed maturity date), the formula instead averages the annual after-tax interest against the average of the net proceeds and the maturity (redemption) value: Kd = [I(1−t) + (MV − NP)/n] ÷ [(MV + NP)/2], where MV = maturity value, NP = net proceeds, n = years to redemption. Worked example: a 10% debenture (face ₹100) issued at a 2% discount, redeemable after 10 years, corporate tax 40% — before-tax cost works out to about 10.30%, and after-tax cost = 10.30% × (1 − 0.40) ≈ 6.18%.
• Cost of preference shares: preference dividend is fixed but not a legal obligation — though if any dividend is paid, preference shareholders are paid first. Irredeemable preference share: Kp = D ÷ NP (D = dividend per share, NP = net proceeds per share). Redeemable preference share uses the same averaging approach as redeemable debentures, but with dividend in place of interest (and no tax adjustment, since preference dividend is not tax-deductible).
• Cost of equity shares: the return a company must offer to attract equity investment, commonly computed by any of several methods:
  • Dividend yield method (no growth): Ke = Expected Dividend per share ÷ Market Price per share
  • Earning yield method: Ke = EPS (earnings per share) ÷ Market Price per share
  • Dividend growth model (dividend yield plus growth): Ke = [D₁ ÷ (P₀ or Net Proceeds)] + g, where D₁ = next year’s expected dividend = D₀(1+g) and g = the constant expected growth rate
  • Earning growth model: Ke = [E₁(1+g)] ÷ (something comparable to market price)
  • Realised yield approach: uses the firm’s own historically realised dividend growth rate as a proxy/assumed growth rate for estimating the future cost of equity
  • the Capital Asset Pricing Model (CAPM) (most widely used in practice)
  • the MM Proposition-II-style approach: Ke = Ko + (Ko − Kd) × (D/E), i.e. the cost of equity equals the firm’s overall (WACC) cost of capital plus a premium for financial risk that grows with the debt-to-equity ratio — conceptually similar to the Net Operating Income approach
  Worked Example — Growth Method

  Given: a company has just paid a 15% dividend on a ₹100 share (D₀ = ₹15); Expected growth (g) = 12% per year; Current market price (P₀) = ₹63.

  • Formula: Ke = D₁ ÷ P₀ + g, where D₁ = D₀(1+g)
  • D₁ = 15 × 1.12 = ₹16.80
  • Ke = 16.80 ÷ 63 + 0.12 = 0.2667 + 0.12
  • Answer: Ke ≈ 38.67%

  Flotation-Cost Variant: Given: Share price = ₹80; Expected dividend next year (D₁) = ₹4; Growth (g) = 10%; Flotation cost = 8%.

  • Formula: Ke = D₁ ÷ [P₀ × (1 − Flotation cost)] + g
  • Ke = 4 ÷ (80 × (1 − 0.08)) + 0.10 = 0.0543 + 0.10
  • Answer: Ke = 15.43%
• Cost of retained earnings: estimated using either the book value approach or the market value approach. In the absence of personal taxes and flotation cost, the cost of retained earnings (Kr) is treated as equal to the cost of equity (Ke), since retained earnings are funds that could otherwise have been distributed to shareholders as dividends and reinvested by them at a return equivalent to Ke. Where a flotation cost would have been payable had the same funds instead been raised afresh (say, an assumed 10% flotation cost, so that only 90% of a notional issue is treated as “net”), Kr is grossed up slightly above Ke to reflect the flotation cost the firm avoided by using retained earnings instead of a fresh issue. Where personal taxes are also considered, Kr = Ke × (1 − tp) × (1 − B), where tp = the shareholders’ personal tax rate and B = the brokerage/flotation cost they would have incurred reinvesting the dividend themselves — since retaining the earnings inside the firm spares shareholders both the personal tax they would have paid on a cash dividend and the brokerage cost of reinvesting it, the cost of retained earnings works out lower than the cost of fresh equity.

Capital Asset Pricing Model (CAPM) — by William Sharpe, Jack Treynor and John Lintner, 1970

CAPM is a financial model that calculates the expected rate of return on an asset or investment, factoring in the risk-free rate, the market risk premium, and the asset’s systematic risk (Beta).

Assumptions of CAPM (contrasted with Arbitrage Pricing Theory, APT): CAPM assumes a single-period investment horizon (APT allows multiple periods); CAPM assumes no taxes (APT makes no such assumption); CAPM assumes investors can borrow and lend freely at the risk-free rate, which is unrealistic (APT does not assume this); and portfolio selection under CAPM is based purely on mean-variance analysis, unlike APT.

Arbitrage Pricing Theory (APT) — by Stephen Ross, 1976

APT is a multi-factor asset-pricing model based on the idea that an asset’s return can be predicted from a linear relationship between its expected return and several macroeconomic variables that capture systematic risk. It is a useful tool for value investors trying to identify temporarily mispriced securities, since it assumes perfect competition and no transaction costs in the market.

Weighted Average Cost of Capital (WACC)

WACC represents a firm’s overall cost of capital, with each source of capital weighted proportionately by its share (at market value) in the firm’s total capital. It is commonly used as the hurdle rate against which a project’s or acquisition’s desirability is judged, and also as the discount rate for future cash flows in discounted cash flow analysis. It is also known as the composite, overall, or average cost of capital.

The weights used can be based on either book value (the historical accounting value of each source, as it stands in the firm’s books) or market value (the current market price of each source) — and because book value and market value of a company’s securities typically differ, the resulting WACC figure will also differ depending on which basis is used, with the market-value-weighted WACC generally considered the theoretically more correct measure for investment decisions.

Capital structure refers to the proportion between the various long-term sources of finance in the total capital of an enterprise. R.H. Wessel defined it as the long-term sources of funds employed in a business enterprise. The two major sources of long-term finance are proprietors’ funds / equity (equity share capital, preference share capital, reserves and surplus/retained earnings) and borrowed funds / debt (long-term loans from financial institutions, debentures/bonds). For example, a company’s capital structure might consist of 40% long-term debt, 10% preference shares and 50% equity.

Importance of an ideal capital structure

• Minimises the overall cost of capital.
• Reduces financial risk.
• Gives the firm required flexibility.
• Provides the required degree of control to the owners.
• Enables the company to have adequate finance available.
• Maximises the value of the firm and, ultimately, shareholders’ wealth.

Factors affecting capital structure

• Nature and size of the business.
• Cost of capital.
• Control considerations.
• Capital market conditions.
• Tax position of the company.
• Legal requirements.
• Financial flexibility needed.

Theories of capital structure

Capital structure theory refers to a systematic approach to financing business activities through a combination of equity and debt. The common assumptions used across these theories are: only two sources of funds exist (debt and equity, no preference capital); total assets and capital employed are fixed; all earnings are distributed to equity shareholders; the firm earns operating profits expected to grow; business risk is constant and unaffected by the financing mix; there are no corporate or personal taxes; and investors share the same subjective view of expected earnings. There are four important theories — two “relevance” theories (where capital structure affects firm value) and two “irrelevance”-type/other theories.

1. Net Income (NI) Approach — by Durand, 1959

• A “relevance” theory: capital structure affects the value of the firm.
• Using more debt finance reduces the overall cost of capital (WACC) and increases the value of the firm; as leverage (debt proportion) increases, WACC decreases and firm value rises — and vice versa.
• Value of firm = Net earnings for equity holders (NI) ÷ Cost of equity (Ke) — i.e. V = NI/Ke, with Value of the firm (V) = S + B (market value of equity S, plus value of debt B).
• The capital structure is optimum at the debt-equity mix where the overall cost of capital is at its minimum.
• Key assumptions: increasing debt does not affect investor confidence; only debt and equity exist as sources (no preference capital or retained earnings); all firms have a uniform (100%) dividend payout ratio; there is no flotation cost, no transaction cost and no corporate dividend tax; and the capital market is perfect, with information equally available to all investors so securities are never over- or under-priced.

2. Net Operating Income (NOI) Approach — by Durand

• The opposite of the NI approach — an “irrelevance” theory: a change in the capital structure (debt component) does not change the total value of the firm, the market price of shares, or the overall cost of capital.
• Market value depends only on operating income and the firm’s business risk, neither of which is affected by the financing mix.
• Value of firm (V) = EBIT ÷ Ko (overall cost of capital); Market value of equity (S) = V − B (value of debt); Ke (cost of equity) = (EBIT − Interest) ÷ S.
• Assumptions: no corporate taxes; cost of debt stays constant at every debt level; overall cost of capital (WACC) stays constant regardless of the debt-equity mix; net operating income is unaffected by the degree of financial leverage; and business risk does not change with the debt-equity mix.

3. Traditional (Intermediate) Approach — by Ezra Solomon and Fred Weston, 1963

• A middle ground between the NI and NOI approaches: debt should be used only up to a specific point, beyond which further leverage reduces firm value.
• Three stages: Stage 1 — firm value rises with moderate leverage as WACC falls; Stage 2 — value reaches its maximum when WACC is at its minimum; Stage 3 — value starts declining as higher leverage pushes WACC back up.
• Value of firm (V) = Db + Eq (market value of debt plus market value of equity); Market value of equity (Eq) = EBT ÷ Ke (EBT = EBIT − Interest); WACC (Ko) = EBIT ÷ V.
• Assumptions: only debt and equity are used; the interest rate on debt stays constant up to a point and then rises with further leverage; the rate expected by equity shareholders stays constant or rises gradually; EBIT is not expected to grow; business risk remains constant; and the firm has a perpetual life.

4. Modigliani–Miller (MM) Approach

• States that in a perfect capital market, a firm’s financing decision does not affect its market value — the average cost of capital does not change with the debt-equity mix.
• Conceptually similar to the NOI approach, but MM additionally provides a behavioural justification (arbitrage) for the result, while NOI is a purely definitional proposition.
• Value of firm (V) = Db + Eq; Market value of equity = EBT ÷ Ke.
• Assumptions: perfect capital markets where individuals and firms can borrow unlimited funds at the same interest rate; efficient stock markets; no corporate tax; no transaction costs; investors are free to buy and sell securities and behave rationally; dividend payout is 100% with no retained earnings.
• Proposition: identical firms (differing only in capital structure) have the same level of earnings. If their market values differ, an arbitrage process — buying the security where its price is low and selling where it is higher — restores equilibrium: investors switch their holdings between a levered firm and an otherwise-identical unlevered firm to earn the same return from both, until the price difference disappears.

Trade-off theory (static trade-off theory)

The Trade-Off Theory holds that a firm’s value can be maximised by finding its optimal mix of debt and equity — firms should balance debt and equity in a way that minimises their weighted average cost of capital (WACC). More specifically, the theory holds that firms determine their optimal capital structure by weighing the tax benefit of debt (the interest tax shield) against the costs of potential financial distress that higher debt brings — firms aim for a specific target debt-to-equity ratio at which firm value is maximised by offsetting tax-deductible interest payments against bankruptcy/financial-distress risk. In formula terms, Value of levered firm = Value of unlevered firm + (Debt × Tax rate) − Present Value of the cost of financial distress; beyond a certain point, each additional rupee of debt’s tax shield is outweighed by the rising present value of expected financial-distress costs, so the firm’s value is maximised at an intermediate, optimal level of debt rather than at the maximum possible level of debt.

Pecking order theory — proposed by Gordon Donaldson (1961), refined by Stewart C. Myers and Nicolas Majluf (1984)

Also called the capital structure pecking order, it models how firms prioritise their financing sources when making capital structure decisions, in order to minimise the costs created by information asymmetry between the firm’s managers and outside investors. A financially strong company, needing to signal less asymmetric information to the market, can raise debt comparatively easily; raising fresh equity, by contrast, tends to be read by the market as a negative signal about the firm’s prospects. This drives a clear hierarchy of preferred financing sources:

• Internal financing / retained earnings (first priority): firms prefer internally generated funds first, to avoid the extra transaction costs of external financing and the need to seek permission from outside investors (banks, institutions, shareholders).
• Debt (second priority): if internal financing is insufficient, firms turn to debt — using headroom on existing facilities, taking new bank loans, or issuing bonds — since debt lets them raise funds without diluting ownership or control.
• Equity (third/last priority): raising new equity is treated as a last resort, since it dilutes ownership, requires sharing control with new shareholders, and signals weakness to the market.

Leverage is the amount of debt a company carries in its debt-equity mix (capital structure); a company with more debt than is typical for its industry is said to be “highly leveraged.” It is an investment strategy of using borrowed capital/financial instruments to amplify the potential return on an investment. James Horne defined leverage as the employment of an asset or funds for which the firm pays a fixed cost or fixed return; Christy and Roden defined it as the tendency for profits to change at a faster rate than sales.

Essential characteristics of leverage: it is applied to the employment of an asset or of funds; profits tend to change at a faster rate than sales; there is a risk-return relationship that generally moves in the same direction; and the higher the leverage, the higher the risk and the higher the expected return.

Types of leverage

There are three types: operating leverage, financial leverage, and combined leverage.

1. Operating leverage

Operating leverage relates to a firm’s fixed operating costs (depreciation, insurance on assets, repairs and maintenance, property taxes, etc. — but not interest on debt capital) and indicates the impact of changes in sales on operating income (EBIT). The higher the proportion of fixed operating cost relative to variable cost, the higher the operating leverage, and vice versa. It is a function of three factors: fixed costs, contribution, and sales volume.

Degree of Operating Leverage (DOL) = % change in EBIT ÷ % change in Sales.

Characteristics: affects the asset side of the balance sheet; relates to the composition of fixed assets; relates to fluctuations in business risk; and affects the firm’s capital structure and return on total assets.

Importance of operating leverage: shows how changes in sales affect operating income; a high DOL magnifies the effect on EBIT for even a small change in sales volume; a high DOL also indicates a greater rise in operating profit when sales do rise, but it results from a higher proportion of fixed costs in the firm’s total cost structure, which lowers the margin of safety; a high DOL means a higher sales volume is needed to reach the break-even point; and higher fixed operating costs in the cost structure promote both higher operating leverage and higher operating risk.

Break-even point (in units) = Fixed Cost ÷ Contribution per unit — the level of production/sales at which there is neither profit nor loss, i.e. total cost equals total sales revenue.

Margin of Safety (MOS) = (Sales − Break-even Sales) ÷ Sales × 100. A higher margin of safety indicates lower business risk and higher profit, and vice versa. Working through the algebra using the PV (contribution/sales) ratio — Sales × PV Ratio = Contribution, and BEP × PV Ratio = Fixed Cost — shows that MOS simplifies to (Contribution − Fixed Cost) ÷ Contribution = EBIT ÷ Contribution. Since DOL = Contribution ÷ EBIT, this gives the direct relationship DOL = 1 ÷ MOS: margin of safety and operating leverage are inversely related — as MOS rises, business risk and DOL both fall, and as MOS falls, business risk and DOL both rise.

2. Financial leverage

Financial leverage refers to the use of debt (fixed-cost capital — loans, debentures, preference share capital) in a firm’s total capitalisation. It expresses the firm’s ability to use fixed financial costs to magnify the effect of a change in EBIT on EPS — in other words, using debt capital to boost the return on equity. Guthman defined financial leverage as the firm’s ability to use fixed financial charges to magnify the effect of changes in EBIT on EPS.

Essentials of financial leverage: relates to the liabilities side of the balance sheet; relates to capital structure; relates to financial risk; affects earnings after tax and EPS; and can be favourable or unfavourable — it turns unfavourable when the firm does not earn as much as the fixed cost of the funds it has borrowed.

Degree of Financial Leverage (DFL) = % change in EBT ÷ % change in EBIT (equivalently, % change in EPS ÷ % change in EBIT).

Worked example: A Ltd. has ₹1,00,000 equity share capital, ₹2,00,000 of 10% preference share capital, and ₹2,00,000 of 10% debentures (flat interest of ₹20,000 in each case below).

Importance of financial leverage: helps the finance manager design an optimum capital structure (the debt-equity mix at which overall cost of capital is minimised and firm value is maximised); raises EPS but also raises financial risk; a high financial leverage signals high fixed financial costs and high financial risk; helps balance financial risk against return in the capital structure; shows the excess of return on investment over the fixed cost of the funds used; and is an important tool for the finance manager in deciding how much debt the firm’s capital structure should carry. Note: high financial leverage means high fixed financial costs and high financial risk, and a rise in fixed financial costs can even force a company toward liquidation if earnings fall short.

Financial leverage as a “double-edged sword”: whether debt helps or hurts equity shareholders depends on how the firm’s Return on Investment (ROI) compares with the cost of debt (Kd). If ROI > Kd, leverage works to the shareholders’ advantage — e.g. ROI = 25% against Kd = 15% leaves a 10% surplus that flows through to equity shareholders, pushing EPS up. If ROI < Kd, leverage works against them — e.g. ROI = 10% against Kd = 15% leaves a 5% deficit that equity shareholders must bear, pulling EPS down and potentially leading to financial distress. This is why financial leverage is called a double-edged sword: it magnifies gains when things go well and magnifies losses when they don’t.

3. Combined leverage

Operating leverage captures operating risk (via the % change in EBIT for a given % change in sales); financial leverage captures financial risk (via the % change in EPS for a given % change in EBIT). If a firm runs high levels of both simultaneously, it is a very risky proposition — so if operating leverage is high, financial leverage should generally be kept lower, and vice versa, to keep the firm’s overall risk profile within reasonable bounds while still maximising shareholder return.

Degree of Combined Leverage (DCL) = % change in EPS ÷ % change in Sales Volume.

Importance of combined leverage: shows the effect changes in sales will have on EPS, combining both the operating and financial effects; high operating + high financial leverage is a very risky combination, since the combined effect multiplies both leverages together; high operating + low financial leverage calls for caution, since the high risk of the former is offset by the latter; low operating + high financial leverage is generally the better combination for maximising return while minimising risk, since a low operating leverage lets the firm reach its break-even point at a low sales level with minimal business risk, while still taking full advantage of debt financing; and low operating + low financial leverage suggests the firm may be missing out on profitable opportunities.

EBIT–EPS Analysis

EBIT-EPS analysis examines how a firm’s choice of capital structure affects its financial break-even point and its earnings per share at different levels of EBIT.

1. Financial Break-Even Point (the EBIT level at which EPS = 0)

• All-equity company: EBIT = 0 (break-even occurs at zero EBIT, since there is no interest or preference dividend to cover).
• Debt + equity company: EBIT = Interest.
• Preference + equity company: EBIT = Preference Dividend ÷ (1 − tax rate).
• Debt + preference + equity company: EBIT = Interest + [Preference Dividend ÷ (1 − tax rate)].

2. Earnings Per Share (EPS)

• All-equity company: EPS = EBIT(1 − tax rate) ÷ number of equity shares.
• Debt + equity company: EPS = (EBIT − Interest)(1 − tax rate) ÷ number of equity shares.
• Preference + equity company: EPS = [EBIT(1 − tax rate) − Preference Dividend] ÷ number of equity shares.
• Debt + preference + equity company: EPS = [(EBIT − Interest)(1 − tax rate) − Preference Dividend] ÷ number of equity shares.

Capital budgeting (capital expenditure budgeting) is the process of planning and controlling investment decisions relating to long-term assets. It is the process of making decisions about investing in fixed assets that are not meant for sale, such as land, buildings, machinery or furniture.

Features of capital budgeting

• The investment proposal to which the technique is applied must be of a long-term nature.
• The investment is made during the current period, but the return from it is obtained over a number of future years.
• The expenditure on, and the return from, the proposed investment is measured in terms of cash flow — cash outflow and cash inflow respectively.
• An investment decision may be taken for a single project, or for two or more mutually exclusive project proposals.
• Acceptance or rejection of a proposal should be based on maximising the value of the firm.

Importance of capital budgeting

• Long-term effects: capital budgeting decisions cannot easily be reversed; a wrong decision, once taken, leads to heavy losses — for example, if construction of a premises is already half complete, it cannot simply be abandoned without losing the amount already spent.
• Risk and uncertainty: a great deal of uncertainty surrounds a capital budgeting decision, since the investment is made in the present while the return lies in an uncertain future; the longer the project period, the greater the risk, and estimates of costs, revenues and profits may not come true.
• Large funds: capital expenditure naturally involves huge amounts, and this fixed commitment of large sums of money makes capital budgeting an important exercise.
• Corporate image: profits are vitally affected by capital budgeting decisions, which in turn influence the market value of shares; projects accepted should yield profits that maximise shareholders’ wealth.

Capital budgeting process

1. Project generation
2. Project evaluation
3. Project selection
4. Project control

Formulas for initial investment (cash outflow)

• Fresh business: Initial investment = Cost of fixed assets + Installation expenses.
• Existing business: Initial investment = Cost of fixed assets + Installation expenses − Sale price of old assets + Tax on capital gain (if any profit on sale) − Tax on capital loss (if any loss on sale) + Working capital (100% of working capital for a fresh business; only the additional working capital required, for an existing business).

Scope of capital budgeting

• Expansion decisions.
• Replacement decisions.
• Buy-or-lease decisions.
• Product or process improvement decisions.

Capital evaluation techniques — an overview

Capital budgeting proposals are evaluated using two broad categories of technique, covered in detail under “Conventional and scientific techniques of capital budgeting analysis”:

• Non-discounted (traditional) techniques — e.g. Payback Period and Accounting/Average Rate of Return (ARR), which do not adjust cash flows for the time value of money.
• Discounted (modern) techniques — e.g. Net Present Value (NPV), Internal Rate of Return (IRR), Modified IRR (MIRR) and Profitability Index (PI), which discount future cash flows to their present value.

Capital budgeting proposals are evaluated using non-discounted (traditional) techniques — Payback Period and the Accounting/Average Rate of Return — and discounted (modern/scientific) techniques — Net Present Value, Internal Rate of Return, Modified IRR and the Profitability Index.

Importance of capital budgeting

• Long-term investments involve risk: capital expenditures are long-term commitments carrying substantial financial risk, which is why proper planning through capital budgeting is needed.
• Huge and irreversible investments: since funds are limited relative to the size of the investment, proper planning is a pre-requisite; capital investment decisions are also irreversible in nature — once a permanent asset is purchased, disposing of it generally results in a loss.
• Long-run effect on the business: capital budgeting reduces costs and changes the company’s overall profitability; it helps avoid over-investment or under-investment, and proper planning and analysis of projects pays off in the long run.
• Wide scope for evaluation: it provides financial managers a broad basis on which to evaluate the viability of different competing projects before committing funds.
• Exposes risk and uncertainty: it helps bring the risk and uncertainty of different projects into the open and keeps a check on over- or under-investment.

1. Payback Period (Crude Thumb Rule)

The payback period is the time required to recoup the funds invested in a project, i.e. to reach the break-even point. For example, a ₹1,000 investment at the start of year 0 that returns ₹500 at the end of year 1 and again at the end of year 2 has a two-year payback period. It is usually calculated starting from the investment year by working out the net cash flow for each subsequent year.

• Even cash flows: Payback Period = Initial Investment ÷ Annual Net Cash Flow. For example, an initial investment of ₹105 crore generating a level ₹25 crore per year gives a payback period of ₹105 crore ÷ ₹25 crore = 4.2 years.
• Uneven cash flows: the cash inflows of successive years are cumulated year by year until the cumulative cash inflow equals the initial outlay; the year in which this happens (interpolated for the exact month/fraction) is the payback period.

Key points: payback period ignores depreciation and the time value of money, and ignores all cash inflows after the payback point; a lower payback period is considered more favourable. A refinement, the post-payback (discounted payback) method, was introduced to also take account of the cash flows receivable after the payback period.

Merits: simple to use; especially useful for firms facing a cash shortage that finance projects through loans, since such firms prefer projects with a shorter payback; useful where technology changes fast and the risk of obsolescence is high, since a short payback period is preferred in such cases; and estimates tend to be more accurate because only the payback period, not the entire project life, needs to be forecast.

Demerits: it gives more weight to liquidity than to profitability; it ignores income earned after the payback period, even though a firm’s real objective is profit, not merely recovering the investment; it ignores the cost of capital; it ignores the time value of money; it does not measure risk, so a shorter-payback but riskier project may wrongly be preferred; and it over-emphasises cash inflows of the early years while ignoring later, potentially larger, inflows.

Reciprocal Payback Period: Reciprocal Payback = (1 ÷ Payback Period) × 100. It is sometimes used as a rough, quick approximation of a project’s IRR when the project has a reasonably long life and fairly even cash flows.

Discounted Payback Period

The discounted payback period corrects the basic payback method’s main weakness — ignoring the time value of money — by first discounting each year’s cash inflow at the firm’s cost of capital/discount rate, and only then cumulating the discounted inflows to find how long it takes to recover the initial, discounted investment.

Worked example: Initial investment = ₹15,000; Annual cash inflow = ₹6,000 for 4 years; Discount rate = 15%.

2. Accounting / Average Rate of Return (ARR)

ARR (also called Return on Investment) is a capital budgeting ratio based on accounting profit rather than cash inflow, and it does not consider the time value of money. Average accounting profit is the arithmetic mean of the accounting income expected over the project’s life; average investment is the sum of the beginning and ending book value of the project, divided by 2. A higher ARR is always preferred.

Worked example: A project costs ₹40,000 (fully depreciated straight-line over 5 years, so annual depreciation = ₹8,000).

Merits: simple to understand and use; considers the whole life of the project; allows profitability of different projects to be compared; uses net income after depreciation, which is theoretically sound; well suited to analysing long-term projects; and helps direct investment toward the most profitable use of a firm’s wealth.

Demerits: ignores the time value of money, so present values of competing projects’ cash inflows are not compared; uses accounting profits rather than cash flows; it is difficult to decide what counts as a “fair” rate of return, since the minimum acceptable ARR is usually fixed somewhat arbitrarily by top management; and the concepts of “investment” and “income” used are not precisely defined, leaving some vagueness in the method.

3. Net Present Value (NPV)

NPV — also called the Excess Present Value, Net Gain, Investor’s, or Discounted Benefit-Cost Ratio method — is used once management has fixed a minimum acceptable/cut-off rate of return (the discount rate) as policy. It calculates the present value of a future stream of cash flows from a project, discounted at a rate equal to the firm’s cost of capital or the return available on comparably risky alternative investments.

Merits: considers the whole life of the project; accounts for the time value of money; focuses on maximising shareholders’ wealth; and allows comparison of the relative profitability of different projects.

Demerits: relatively difficult to understand; fixing the appropriate discount rate is itself difficult; and it is not well suited to comparing projects of different initial costs or different economic lives.

Value additivity principle: the total NPV of a larger project equals the sum of the NPVs of all its separate smaller components, i.e. NPV(A+B) = NPV(A) + NPV(B) for two separate projects A and B. This lets individual project NPVs simply be added together to arrive at the total value of a larger combined investment or portfolio, each project having been evaluated independently on its own merit.

4. Internal Rate of Return (IRR)

IRR — also called the Discounted Rate of Return, Time-Adjusted Rate of Return, Marginal Efficiency of Investment, Break-Even Rate, or the Hit-and-Trial method — is the discount rate at which a project’s NPV becomes exactly zero, i.e. the rate at which the present value of future cash inflows equals the initial cash outlay. It is ideal for comparing the potential annual rates of return across different capital projects, for both corporate project selection and investors comparing assets.

Merits: considers the full life of the project; accounts for the time value of money by discounting cash flows at an appropriate rate; is not dependent on an assumed cost of capital (it is solved for); allows comparison of relative profitability and suitability across projects; and focuses on maximising shareholders’ wealth.

Demerits: relatively difficult to use and understand; accurately estimating cash inflows over the whole project life is difficult, as is estimating project costs and the appropriate discount rate; and IRR assumes that interim cash flows are reinvested at the IRR itself, which may be unrealistic.

NPV and IRR relationship: when IRR exceeds the hurdle (cut-off) rate, NPV is positive; when IRR equals the hurdle rate, NPV is zero; when IRR is below the hurdle rate, NPV is negative — so for a single, independent, conventional project, NPV and IRR always point to the same accept/reject decision.

NPV–IRR conflict: for mutually exclusive projects, however, NPV and IRR can rank the projects differently, i.e. the project with the higher NPV may not be the one with the higher IRR. This conflict typically arises from one or more of the following disparities between the projects being compared:

• Size (scale) disparity: the projects require substantially different amounts of initial investment.
• Time disparity: the projects have different lives/durations.
• Cash-flow pattern disparity: the timing pattern of inflows differs markedly between the projects — e.g. one project’s inflows are concentrated in its earlier years while the other’s are concentrated later.

When NPV and IRR conflict in ranking mutually exclusive projects, the NPV method is generally preferred for the final decision, since it is consistent with the goal of maximising shareholders’ wealth in absolute rupee terms, whereas IRR’s reinvestment-rate assumption can distort the ranking.

Modified Internal Rate of Return (MIRR)

MIRR corrects IRR’s reinvestment assumption: it assumes positive cash flows are reinvested at the firm’s cost of capital (rather than at the IRR itself) and that the initial outlay is financed at the firm’s financing cost. Because the traditional IRR assumes reinvestment at the IRR rate — which may not be realistic — MIRR gives a more accurate picture of a project’s true cost and profitability. MIRR is used to rank competing investments or projects, and because it is designed to produce a single solution, it also eliminates the problem of multiple IRRs that can arise with unconventional cash flow patterns.

5. Profitability Index (PI)

The Profitability Index — also called the Cost-Benefit Ratio or Desirability Factor — measures a project’s or investment’s attractiveness. It is calculated by dividing the present value of the project’s future expected cash inflows by its initial investment.

PI and NPV relationship: PI > 1 corresponds to NPV > 0 (accept the project); PI < 1 corresponds to NPV < 0 (reject the project); PI = 1 corresponds to NPV = 0, an indifferent/irrelevant decision either way.

Decision rules: independent vs. mutually exclusive projects

The same technique is applied differently depending on whether the projects being compared are independent (each can be accepted or rejected on its own merits) or mutually exclusive (accepting one automatically rules out the others):

Risk analysis in capital budgeting

Because future cash flows can rarely be forecast with certainty, several techniques are used to build risk explicitly into capital-budgeting appraisal:

• Risk-Adjusted Discount Rate (RADR): a single discount rate is derived by adding a risk premium to the risk-free rate — RADR = Risk-free rate + Risk premium — and the project’s cash flows are discounted at this higher rate instead of the normal cost of capital, so that riskier projects are penalised with a higher discount rate and consequently a lower present value.
• Certainty Equivalent approach: each year’s uncertain (risky) expected cash flow is converted into its “certain” equivalent by multiplying it by a certainty-equivalent coefficient (a fraction between 0 and 1, reflecting management’s risk aversion) — Certain Cash Flow = Uncertain Cash Flow × Certainty-Equivalent Coefficient — after which the resulting certain cash flows are discounted at the normal (risk-free) discount rate.
• Sensitivity analysis: examines how the project’s NPV/IRR changes when one key variable (sales volume, selling price, cost, etc.) is varied at a time, holding others constant, to identify which variables the outcome is most sensitive to.
• Scenario analysis: extends sensitivity analysis by changing a combination of more than one variable together, to evaluate the project’s outcome under distinct, internally consistent scenarios (e.g. best case, worst case, most likely case).
• Decision tree analysis: maps out a sequence of future decisions and uncertain outcomes (with assigned probabilities) as the branches of a tree, letting the firm evaluate a multi-stage investment decision where later decisions depend on the outcome of earlier ones.

Capital rationing

Capital rationing is the process companies use to decide which investment opportunities are most worth pursuing when funds are limited — the goal being to direct a firm’s scarce capital resources to the projects likely to be the most profitable.

• Under a single-period budget constraint, the Profitability Index method is used to rank and select projects.
• Under a multi-period budget constraint, mathematical programming is used: linear programming, where projects are divisible and can be accepted in fractions, or integer programming, where each project must be wholly accepted or wholly rejected — integer programming is generally the better fit for capital-rationing problems.

Types of capital rationing:

• Hard (external) capital rationing: arises when a company faces difficulty raising funds in the external equity markets, leading to a shortage of capital for new projects. Common causes include being a start-up firm, poor management, restrictions imposed by lenders, or factors specific to the industry.
• Soft (internal) capital rationing: arises from a company’s own internal policies, where it voluntarily restricts the funds available for investment in projects. Common causes include a deliberate decision by promoters, a rise in the opportunity cost of capital, or caution about future scenarios.

Meaning and Types of Working Capital

Working capital management refers to a company’s managerial accounting strategy for monitoring and utilising the two components of working capital — current assets and current liabilities — so as to run the company’s operations in the most financially efficient way. It commonly involves monitoring cash flow, assets and liabilities through ratio analysis of key operating elements, including the working-capital ratio, the collection ratio and the inventory-turnover ratio.

Working capital is classified on two bases — by value and by time:

• Gross working capital (value-based): the total value of a firm’s current assets. It is always positive, but does not by itself reveal the firm’s true financial position — borrowing increases current assets (and so gross working capital) but increases current liabilities by the same amount, leaving net working capital unchanged. Gross Working Capital = Total Current Assets.
• Net working capital (value-based): the excess of current assets over current liabilities, indicating the firm’s liquidity position. A current-assets-to-current-liabilities ratio of 2:1 is generally considered optimum/sound. Net working capital rises only when current assets rise without a matching rise in current liabilities. Net Working Capital = Current Assets − Current Liabilities.
• Permanent (fixed) working capital (time-based): the minimum level of net working capital that is always required, irrespective of fluctuations in business activity — the level below which net working capital has never fallen on any day of the financial year. A minimum level of inventory and receivables must always be maintained to meet customer needs and sustain revenue, so this minimum investment is unavoidable.
• Temporary (fluctuating) working capital (time-based): the additional working capital needed over and above the permanent level, to meet seasonal demand or any special, unpredictable event. Temporary Working Capital = Net Working Capital − Permanent Working Capital.
• Seasonal working capital: the amount of working capital maintained specifically to meet the seasonal demand of a product (seasonal demand often arising around festivals).
• Regular working capital: the minimum amount of working capital that must be maintained under normal (non-seasonal, non-special) conditions.
• Special working capital: the amount of working capital maintained to meet the expenses of special business-development programs — advertisement campaigns, sales-promotion activities, product-development activities, market research, launching new products, or expanding into new markets.
• Reserve working capital (also called cushion working capital): a short-term financial arrangement kept in reserve by a business to meet uncertain changes or uncontrollable risks, over and above its regular working capital.
• Negative working capital: arises when current liabilities exceed current assets — a sign that short-term funds are being used to finance fixed assets, which can push the firm toward a financial crisis very quickly. It is not always a bad sign, however: large companies with strong bargaining power over fragmented suppliers can run a persistently negative working capital, since they can demand long supplier-credit periods while collecting cash from customers (or selling for cash) within just a few days.

Factors affecting working capital requirements: nature and size of the business; seasonal variations; time consumed in manufacture; turnover of circulating capital; credit facilities available from the bank; terms of purchase and sale; growth and expansion of the business; dividend policy; and the efficiency of management.

Operating Cycle / Working Capital Cycle

The operating cycle (or working-capital cycle) is the time a company takes to buy goods, sell them, and receive cash from the sale — in other words, how long it takes the company to turn its inventories back into cash. Its length varies by industry, and in equation form it is expressed as:

Operating Cycle = R + W + F + D − C, where R = raw-material storage period, W = work-in-progress holding period, F = finished-goods storage period, D = receivables (debtors) collection period, and C = credit period allowed by suppliers (creditors).

Number of operating cycles in a year = (number of days in a year) ÷ (operating-cycle period). Each component is calculated as: R = Average stock of raw material ÷ Average cost of raw-material consumption per day; W = Average work-in-progress inventory ÷ Average cost of production per day; F = Average stock of finished goods ÷ Average cost of goods sold per day; D = Average receivables ÷ Average credit sales per day; C = Average payables ÷ Average credit purchases per day.

Worked example: XYZ Ltd. reports (360-day year):

Estimating working-capital requirement from the operating cycle: Working Capital = [Estimated Cost of Goods Sold × (Operating Cycle period ÷ 365)] + Desired cash/bank balance.

Its individual components can be built up the same way:

• Raw-material stock = Estimated production units × per-unit RM cost × (RM holding period ÷ 365)
• Work-in-progress = Estimated production × [per-unit cost of RM (100%) + labour (often 50% completion) + overheads (often 50%)] × (WIP period ÷ 365)
• Finished goods = Estimated production × per-unit cost of goods produced × (finished-goods holding period ÷ 365)
• Receivables = Estimated production × selling price × (collection period ÷ 365)
• Payables = Estimated production × per-unit RM cost × (payment period ÷ 365)

A simpler percentage-of-sales method is sometimes used instead:

Liquidity versus Profitability

A firm’s working-capital policy involves a trade-off between liquidity and profitability: a high investment in working capital makes a firm more liquid (better able to meet short-term obligations) but may mean working capital is not being used efficiently, and so is less profitable; a low investment in working capital makes a firm less liquid but may use working capital more efficiently, and so is more profitable.

• Liquidity is about the cash or cash-equivalents available in the firm, represents the firm’s cash position, helps meet short-term liabilities, and is measured using the current ratio, quick ratio and acid-test ratio.
• Profitability is about the total profit made by the firm, represents its financial performance, matters for the company’s long-term survival, and is measured using the gross profit margin, net profit margin and similar ratios.

In fixing the optimum level of current assets, a firm must balance this liquidity–profitability trade-off by minimising the combined total of the cost of liquidity and the cost of illiquidity.

Approaches to Working Capital Financing

How a firm chooses to finance the permanent and temporary components of its working capital — from long-term sources or short-term sources — defines its working-capital financing policy, and this choice is classified into three broad approaches:

• Conservative approach: a risk-free financing strategy in which the firm maintains a higher level of current assets (and so higher working capital), with the major part financed from long-term sources (equity, debentures, term loans). Fixed assets, permanent working capital and even a part of temporary working capital are financed by long-term funds, with only the remaining part of temporary working capital financed short-term — abolishing short-term financing risk to a great extent, though at a lower return. Equation: Long-term funds finance = Fixed Assets + Permanent Working Capital + part of Temporary Working Capital; Short-term funds finance = the remaining part of Temporary Working Capital.
• Aggressive approach: a high-risk financing strategy in which short-term finance is used not only for temporary working capital but also for a reasonable part of permanent working capital. Inventory, receivables and bank-balance levels are kept just sufficient, with no cushion for uncertainty, and there is reasonable reliance on trade credit. Equation: Long-term funds finance = Fixed Assets + part of Permanent Working Capital; Short-term funds finance = the remaining part of Permanent Working Capital + the whole of Temporary Working Capital.
• Hedging / matching approach: short-term requirements are met with short-term debt and long-term requirements with long-term debt — the underlying principle is that each asset is financed by a debt instrument of almost the same maturity.

Worked illustration: Sales = ₹20,00,000; EBIT = ₹2,00,000 (fixed assets and EBIT stay constant across all three policies).

Under the matching (hedging) approach, the expected life of an asset is matched with the expected life of the funding source used to finance it — short-term financing funds short-term (temporary) assets, and long-term financing funds long-term (fixed and permanent current) assets — on the reasoning that, since financing exists to pay for assets, the asset and its financing should be “relinquished” together. Using long-term financing for short-term assets tilts the policy toward the conservative end (safer, but more funds tied up); using short-term financing for long-term assets tilts it toward the aggressive end (cheaper, but riskier, since short-term funds must be continually renewed).

Maximum Permissible Bank Finance (MPBF)

MPBF stands for Maximum Permissible Bank Finance — mainly a method of assessing working-capital requirements in the Indian banking sector. Per the Tandon Committee’s recommendations, corporates are discouraged from accumulating excessive stocks of current assets and are instead encouraged to move towards lean inventory and receivable levels. Banks follow certain norms when granting working-capital finance to firms, heavily influenced by the recommendations of various RBI-appointed committees — notably the Tandon Committee and, subsequently, the Chore Committee (which strengthened the Tandon procedures and norms), as well as the Dehejia Committee and the Marathe Committee.

At a broad level, two MPBF methods are commonly described: under Method I, used where the corporate’s credit requirement is below ₹10 lakh, the bank computes working capital as the difference between total current assets and current liabilities other than bank borrowings, and can finance a maximum of 75% of this requirement, with the remaining 25% coming from long-term funds. Under Method II, used where the credit requirement exceeds ₹10 lakh, the borrower must finance a minimum of 25% of total current assets (not just the gap) from long-term funds, with the bank providing the rest through MPBF — so total current liabilities, including bank borrowings, cannot exceed 75% of current assets.

The RBI set up the Tandon study group in July 1974 under the chairmanship of Mr Prakash Tandon; its guidelines for fast-moving working-capital loans, issued the same month, are known as the Tandon Committee recommendations, which prescribe three alternative methods of computing MPBF in fuller detail:

• First method: the borrower contributes a minimum of 25% of the working-capital gap from long-term funds, giving a minimum current ratio of 1:1. MPBF = 75% of (Current Assets − Current Liabilities other than bank borrowing) = 0.75 × Net Working Capital.
• Second method: the borrower contributes 25% of total current assets (not merely the working-capital gap) from long-term funds, and the bank finances the rest of the gap. MPBF = (75% of Current Assets) − Current Liabilities other than bank borrowing.
• Third method: the borrower contributes 100% of core current assets plus 25% of the balance of (non-core) current assets from long-term funds, and the bank finances the remaining gap. MPBF = (75% of Soft-Core/non-core Current Assets) − Current Liabilities other than bank borrowing. Core current assets are the permanent component of working capital.

Other Tandon Committee regulations:

1. Operating plan: borrowers should prepare an operating plan and base their stated working-capital finance requirement on it.
2. Production-based financing: bankers should finance only the borrower’s genuine production needs, and borrowers should maintain reasonable levels of inventory and receivables.
3. Partial bank financing: the bank should not finance a borrower’s total requirement — only a reasonable part of it.
4. Reasonable level of current assets: borrowers should be permitted to carry current assets — specifically debtors and inventories — only up to a reasonable level.

Cash Management

Cash management covers the collection, handling, usage and short-term investing of cash — the management of the cash flowing in and out of a company. It covers a broad area of finance, including assessment of cash flow, market liquidity and investments; beyond simply avoiding insolvency, it is about getting customers to pay on time and improving the business’s overall financial profitability.

There are three motives for holding cash:

• Transactive motive: cash needed for normal business activities such as purchase of goods, wages and dividend payments.
• Precautionary motive: cash held to meet unforeseen and unfavourable situations.
• Speculative motive: cash held to make short-term investment opportunities.

Baumol’s Model (1952) — cash management under certainty

The EOQ model of inventory management is applied to cash management to identify the optimum cash balance a firm should hold, trading off opportunity cost (the cost of holding money/the cost of borrowing) against transaction cost (the cost of converting marketable securities into cash). It determines the optimal cash-conversion size — how much cash to raise by selling marketable securities in each transaction — assuming the firm holds marketable securities it can sell whenever cash is needed. The optimal cash balance occurs where total cost (opportunity cost plus transaction cost) is minimised.

Assumptions: cash requirement for the period is known in advance and spread evenly through the period; securities can be sold immediately with no delay; only two types of cost are relevant (opportunity cost and transaction cost); the cost per transaction is constant regardless of transaction size; and the opportunity cost is a fixed percentage of the average cash balance held.

Drawbacks of the Baumol model: in practice it is unlikely that future cash requirements can be predicted with much certainty; the model makes no allowance for a buffer stock of cash, so there may be costs if the firm runs out of cash; and there may be other ordinary costs of holding cash that rise with the average balance held, which the model ignores.

Miller–Orr Model — cash management under uncertainty

The Miller–Orr model improves on Baumol’s model by allowing cash flows to fluctuate, rather than assuming a constant, predictable consumption rate. Based on empirical evidence, Miller and Orr argued that cash balances fluctuate randomly, so the model allows for day-to-day fluctuation and assumes net cash flows are normally distributed with a zero mean.

The model sets two control limits — an upper control limit and a lower control limit. When cash hits the upper limit, the firm buys marketable securities to bring the balance back down to a “return point”; when cash hits the lower limit, the firm sells sufficient marketable securities to bring the balance back up to the return point.

Assumptions: changes in the cash balance (both inflows and outflows) are random; there are opportunities to transact in marketable securities, and doing so carries a transaction cost; holding cash carries an opportunity cost; and the firm maintains some minimum level of cash balance.

Inventory Management

Inventory management is the process of ordering, storing and using a company’s inventory — raw materials, components and finished products. Its importance lies in minimising the holding and storage costs associated with carrying inventory, such as the costs of bulk buying and warehousing.

The optimum level of inventory is the level at which total inventory cost is minimised. Keeping stock above the optimum level means incurring avoidable costs such as warehouse rent, insurance and maintenance, so various models help determine this optimum level.

Economic Order Quantity (EOQ)

The EOQ model, developed by William J. Baumol, determines the order quantity that minimises total inventory costs — the most economical size of order to place. It is a valuable tool for deciding how much inventory to hold, how much to order each time, and how often to reorder, so as to incur the lowest possible total cost. The two key categories of inventory cost are ordering costs and carrying costs:

• Ordering costs: costs of obtaining additional inventory — communicating the order, travel/daily allowance for purchase staff, printing and stationery, purchase-department salaries, inspection and receiving costs, transportation, etc. These costs (other than transport) are assumed constant per order regardless of order size, so the more frequent and smaller the orders, the higher the total ordering cost.
• Carrying costs: costs of holding inventory on hand — interest on funds locked up in stock, storage, spoilage/deterioration, insurance, evaporation, godown rent, pilferage, shrinkage, obsolescence and store-department overheads. These are assumed constant per unit of inventory, so the larger the inventory held, the higher the total carrying cost.

Since minimising carrying cost calls for small, frequent orders (which raises ordering cost), while minimising ordering cost calls for large, infrequent orders (which raises carrying cost), the EOQ is the order size at which the ordering-cost curve intersects the carrying-cost line — the point where total ordering cost equals total carrying cost and the combined total cost is at its lowest.

Assumptions: the model is designed for a single commodity at a time; ordering cost per order is constant; annual demand is known and spread evenly through the year; there is no lead-time gap between placing an order and receiving it; and no quantity discounts are available.

Limitations: these assumptions restrict the formula’s practical use — in reality, the cost per unit purchased changes over time, lead times are uncertain, demand rarely stays perfectly constant through the year, and the “ordering cost per order” is not truly constant once transport cost (which varies with order size) is included.

Techniques of inventory control (beyond EOQ)

• ABC analysis: classifies inventory items into three categories by value — “A” items (a small percentage of items accounting for a large percentage of total inventory value, needing close control), “B” items (moderate value and control), and “C” items (a large number of low-value items needing only routine control).
• FSN analysis: classifies items by movement/consumption rate — Fast-moving, Slow-moving and Non-moving — to help identify obsolete or dead stock.
• VED analysis: classifies items by criticality — Vital, Essential and Desirable — commonly used for spare parts, where “Vital” items cannot be allowed to run out without halting operations.
• HML analysis: classifies items by unit price — High, Medium and Low — useful for purchase and stores control.
• Just-in-Time (JIT) inventory system: materials are procured and produced only as and when needed in the production process, minimising inventory holding and the associated carrying cost.
• Level setting: fixing specific stock levels for each item — such as minimum level, maximum level, re-order level and danger level — to guide routine ordering decisions.
• Perpetual inventory system: a continuous record of receipts, issues and the running balance of each inventory item is maintained, so the stock-in-hand figure is always up to date without waiting for a periodic physical count.

The Institute of Chartered Accountants of India defines a dividend as a distribution to shareholders out of profits or reserves available for the purpose — that is, the portion of after-tax profit distributed among a firm’s owners/shareholders. It is the reward to equity shareholders for their investment, and a basic right of shareholders to share in the company’s earnings. Dividend policy is a firm’s plan of action for dividend decisions — essentially how much of earnings to pay out as dividends versus how much to retain and reinvest.

Types of dividends

• Cash dividend: a periodic cash payment to stockholders (monthly, quarterly, or occasionally a one-time payout, e.g. after a settlement).
• Bonus shares / stock dividend: a payment made in additional shares instead of cash, rewarding shareholders without reducing the company’s cash balance.
• Special dividend: declared in special circumstances, typically when the company has earned abnormal profits.
• Extra dividend: an additional, non-recurring dividend paid over and above the regular dividend — companies with fluctuating earnings use this rather than permanently raising the regular dividend.
• Annual dividend: declared and paid once a year.
• Interim dividend: declared at any point during the year, ahead of the annual dividend.
• Regular cash dividends: paid quarterly, monthly, semi-annually or annually on a recurring basis.
• Scrip dividends: a promise to pay the dividend at a future date rather than immediately — the “scrip” issued to shareholders is effectively a promissory note.
• Liquidating dividends: paid out of a company’s assets (rather than profits) when it is winding down operations, selling assets, settling debts and ceasing business.
• Property dividends: paid in assets other than cash — for example, distributing the firm’s own product samples, or shares it holds in another company.
• Proposed dividend: a dividend announced/recommended by the board but still subject to change (e.g. shareholder approval) before it is finalised.
• Final dividend: the company’s final dividend liability for the year, paid by the year’s end.
• Unclaimed dividend: a declared dividend that shareholders have not yet claimed/collected.
• Bond dividend: a dividend paid in the form of the company’s own bonds rather than cash or shares.

Dividends are not treated as an expense — since they are a distribution of a firm’s accumulated earnings rather than a cost of earning that income, they never appear on the income statement, and are instead treated as a distribution of the business’s equity. A cash dividend reduces both cash and retained earnings on the balance sheet; a stock dividend has no effect on cash and only reallocates amounts within the shareholders’-equity section; a scrip dividend lets shareholders choose between additional shares (typically offered at a discount) or cash.

Who decides, and the basic trade-off

The company’s Board of Directors makes dividend decisions, weighing the trade-off between paying out cash dividends and retaining earnings to reinvest in new projects. Dividend policy must always balance two basic objectives: (1) maximising owners’ wealth, and (2) providing sufficient financing for the firm — balancing stockholders’ current income (dividends) against the company’s future growth (retained earnings).

Theories of dividend

Dividend theories split broadly into the relevance school (Walter’s model, Gordon’s model) — which holds that dividend policy affects the value of the firm — and the irrelevance school (the MM hypothesis, and the Solomon/residual approach) — which holds that it does not.

Walter’s Model — by Prof. James E. Walter

Walter held that dividends are relevant and directly affect a firm’s share price, and that investment policy cannot be separated from dividend policy since the two are interlinked. The model turns on the relationship between a firm’s internal rate of return on investment (r) and its cost of capital/equity (Ke).

Assumptions: all financing comes from retained earnings only, with no external financing; r and Ke remain constant regardless of new investment; all earnings are either retained or distributed (nothing in between); EPS and DPS remain constant; and the firm has a perpetual life.

Three cases: (i) if r > Ke (a “growth” firm), the optimal policy is 100% retention, 0% payout — share value is maximised by retaining everything; (ii) if r < Ke (a “declining” firm), the optimal policy is 0% retention, 100% payout; (iii) if r = Ke, the firm is indifferent, and the dividend policy does not affect share value.

A growth-oriented company can invest/utilise funds better than the market, so shareholders can accept a low (even zero) dividend because the retained funds raise the share’s value; a declining company cannot cover its own cost of capital through its internal investments, so shareholders prefer the funds paid out to them as dividends so they can redeploy the money into more profitable opportunities elsewhere.

Criticism of Walter’s model: it assumes all investment is financed purely from retained earnings, with no external debt or equity — an unrealistic restriction that forces either the investment policy or the dividend policy (or both) below optimum; it applies only to all-equity firms; it assumes r stays constant even though, in reality, r tends to fall as investment increases; and it assumes a constant cost of capital, ignoring the firm’s business risk, which in reality has a direct bearing on firm value.

Gordon’s Model (the “Bird-in-the-Hand” theory) — all-equity model

Gordon’s theory also belongs to the “dividends are relevant” school, arguing that current dividends matter directly in determining the value of the firm — investors prefer the certainty of dividends in hand over uncertain future capital gains.

Assumptions: the firm is all-equity, with no external financing; the internal rate of return (r) and cost of equity (Ke) are constant; the firm and its earnings stream are perpetual; the growth rate g = b × r, where b is the retention ratio and r the rate of return; there are no corporate taxes; and Ke is always greater than g. (Gordon later revised the theory to state that dividend policy affects market value even when r = Ke, since investors will always prefer a share paying higher current dividends.)

Criticism of Gordon’s model: it is unrealistic to assume r and Ke always stay constant — a constant r implies shareholder wealth is never optimised, and a constant Ke means business risk is ignored when valuing the firm; and Gordon’s assumption that all investment is financed from retained earnings alone is similarly unrealistic.

Walter’s model vs Gordon’s model — key contrasts

Modigliani–Miller (MM) Hypothesis — dividend irrelevance

Under the MM hypothesis, dividend policy is irrelevant: declaring (or not declaring) a dividend does not affect the value of the firm or its share price — it is the firm’s investment policy, not its dividend policy, that determines share value.

Assumptions: capital markets are perfect and investors behave rationally; all information is freely available; there is no transaction cost and no waiting time; securities can be split into fractions; there are no taxes and no flotation/issue expenses; no single investor is large enough to influence a security’s market price; the firm has a defined investment policy; and future profits are known with certainty. (MM’s is the only model among those covered here that factors in a terminal/future share price.)

Key MM assumptions (expanded): perfect capital markets; rational investors; no transaction costs; infinitely divisible securities; no investor large enough to move market price; no flotation costs; and a 100% dividend-payout ratio.

Three financing scenarios illustrating irrelevance:

1. If the firm pays a cash dividend out of reserves and surplus, cash simply moves from one of the shareholder’s pockets (the firm) to another (their own hand), with no net gain or loss, so firm value is unaffected.
2. If the firm lacks the cash and instead issues new shares to fund the dividend, shareholders receive the cash dividend but suffer an equivalent capital loss through dilution of their control and of earnings per share (more shares outstanding reduces EPS), so their overall wealth is unchanged.
3. If the firm pays no dividend at all but a shareholder wants cash, they can simply sell part of their holding in the market — the cash so received is called a “home-made” dividend — and again there is an offsetting capital loss from the dilution of their ownership stake among existing and new shareholders.

Firm value remains unchanged in every scenario.

Graham & Dodd model

This traditional model holds that the stock market places considerably more weight on dividends than on retained earnings when valuing a share. Formula: P = m × [D + (E ÷ 3)], where P = market price per share, D = dividend per share, E = earnings per share, and m = a multiplier.

Lintner’s model

John Lintner’s model explains how firms actually set dividends in practice, built on two parameters: a firm’s long-run target payout ratio, and the speed of adjustment at which current dividends move toward that target rather than jumping to it immediately (since firms are reluctant to cut dividends and adjust gradually). Formula: D₁ = D₀ + [Af × (Target DPS − D₀)], where D₁ = dividend in the current year, D₀ = dividend paid in the previous year, Target DPS = target payout ratio × current EPS, and Af = the adjustment factor (speed of adjustment).

Solomon approach — dividend as a passive residual

According to Ezra Solomon, a firm’s dividend policy is essentially a residual financing decision, and the dividend itself is a passive residual — conditioned primarily by what investment opportunities are available, with investors treated as indifferent between dividends and capital gains since their real objective is simply to earn the highest possible return on their funds. If a firm has a pipeline of investment opportunities offering a return (r) higher than its cost of capital (Ke), shareholders will favour greater retention, so the ploughed-back funds can finance those profitable opportunities and generate higher future earnings. Conversely, if expected returns on potential projects fall short of the cost of capital, shareholders will prefer immediate distribution of earnings over reinvestment.

Residual dividend policy

Under a residual dividend policy, a company prioritises funding its capital expenditure needs first, and only distributes what is left over as dividends — investing available profits in growth opportunities (e.g. upgrading manufacturing capacity or reducing waste) before paying shareholders, on the theory that this produces greater long-term growth. Because this can mean dividend payouts drop sharply and fluctuate considerably from period to period, management may need to justify these swings to shareholders. The policy rests on the belief that investors have no particular preference between receiving returns as immediate dividends or as long-term capital gains.

Stock splits

A stock split means dividing one existing share into several shares of smaller face value — for example, splitting one ₹500 share into five ₹100 shares. It is a tool companies use to regulate their share price: if a share’s price rises beyond a certain level, it can become less easily tradable for ordinary investors.

Advantages: it makes the share more affordable for small investors; and by increasing the number of shares outstanding, it can increase the number of shareholders and so widen the potential pool of investment.

Limitations: carrying out a stock split itself involves additional expenditure; and a lower post-split share price may attract speculators or short-term traders, which companies generally would prefer to avoid.

Risk, in simple terms, is the possibility of something going wrong — uncertainty about the effects of an activity on something a person values, usually with a focus on negative outcomes. In an investment context, risk refers to the uncertainty or variability of returns — the possibility of losing some or all of the invested capital, or of not achieving the expected return.

Classification of risk

Total risk splits into systematic risk (also called non-diversifiable or market risk) and unsystematic risk (diversifiable risk): Total risk = Systematic risk + Unsystematic risk.

• Systematic risk: fluctuation in security returns caused by macroeconomic factors — political, social or economic conditions affecting the whole market. It is further divided into interest rate risk, inflation (purchasing-power) risk and market risk. Examples include tax reforms, interest-rate hikes, changes in law, natural disasters, political instability, changes in foreign policy, currency fluctuations, bank failures and economic recession.
  • Interest rate risk: the risk that a change in overall interest rates reduces the value of a bond or other fixed-rate investment — as interest rates rise, bond prices fall, and vice versa.
  • Purchasing-power (inflation) risk: the risk that inflation erodes the real buying power of an investor’s assets and income.
  • Market risk: the risk of loss from adverse price movements — e.g. changes in equity or commodity prices, interest-rate moves, or foreign-exchange fluctuations; it arises from uncontrollable market factors and is beyond any individual’s or firm’s control.
• Unsystematic risk: fluctuation in a specific company’s returns caused by micro-economic (firm-specific) factors, which exist within the company and can be reduced or avoided through appropriate action — e.g. production of a flawed product, labour strikes, etc. It is further divided into business risk (depends on factors such as competition, product liability and operating leverage) and financial risk (depends on the types of securities issued — more debt means more financial risk, which falls on stockholders). Other examples include competitive risk, errors in entrepreneurial judgement, strategy risk, outcomes of legal proceedings, reputational risk, liquidity issues, and a flawed business model.

Risk vs. uncertainty: though often used interchangeably, the two differ — risk means the decision-maker knows the probable outcomes of a decision and their associated probabilities, while uncertainty means the likelihood of a particular outcome is simply unknown. Investors aim to maximise expected return while staying within their own risk tolerance; the degree of risk depends on the features of the asset, the investment instrument, and the mode of investment.

Risk measurement

Risk can be assessed from both a behavioural and a statistical/quantitative standpoint.

• Sensitivity analysis (behavioural): assesses risk by estimating a range of possible returns — typically the pessimistic (worst), most-likely (expected), and optimistic (best) outcomes — to gauge variability. The difference between the optimistic and pessimistic outcomes is the range, which sensitivity analysis treats as the basic measure of risk; a wider range indicates greater variability.
• Probability distribution: a more accurate approach than sensitivity analysis, relating probabilities to each possible outcome. The probability of an outcome is the percentage likelihood of its occurrence (0% = will never happen, 100% = certain). Using assigned probabilities, the expected return R̄ = Σ(Ri × Pri), i.e. the probability-weighted average of all possible returns, where Ri is the return for outcome i and Pri its probability.
• Standard deviation of returns (σ): risk is the dispersion of returns around the expected value; σ is the square root of the probability-weighted average of the squared deviations of each possible return from the expected return: σ = √[Σ Pri × (Ri − R̄)²]. A larger σ means greater variability/dispersion and greater risk — but σ is an absolute measure and does not account for the size of the expected return itself.
• Coefficient of variation (CV): a relative measure of risk per unit of expected return, used to compare assets with different expected returns on a like-for-like basis. CV = σ ÷ R̄. A lower CV is more favourable (a more precise/efficient risk-return trade-off); because it adjusts for the relative size of expected returns, CV is generally considered the best way to compare risk across assets with different expected values.

Modern Portfolio Theory (Markowitz Model) and diversification

Harry Markowitz, regarded as the father of Modern Portfolio Theory (MPT, 1952), held that the risk of an individual asset held in isolation hardly matters to an investor — what matters is the contribution that asset makes to the investor’s overall portfolio risk. He turned this insight into the Mean-Variance Analysis technique, which uses the mean (expected return) to measure reward and the variance/standard deviation to measure risk, while also considering the covariance (co-movement) between assets. Combining assets with low or negative correlation (e.g. stocks and bonds) reduces unsystematic risk without necessarily lowering expected return, letting an investor identify the efficient frontier — the set of portfolios offering the highest return for a given level of risk, or the lowest risk for a given expected return.

As more securities are added to a portfolio, unsystematic risk becomes progressively smaller and the portfolio’s total risk approaches its systematic risk — but no matter how much a portfolio is diversified, systematic risk can never be eliminated, since it stems from economy-wide factors (interest rates, inflation, political and economic instability) that affect all securities together. Beta itself illustrates the sensitivity of a stock to this market-wide risk: a company with a Beta of 1.5, for instance, has 150% of the market’s average volatility, so its price swings are magnified relative to the broader market.

Measuring security risk and return — the Capital Asset Pricing Model (CAPM)

CAPM is an equilibrium model describing the trade-off between expected return and unavoidable systematic risk — the basic theory linking the risk and return of all assets, and explaining how security prices are set in the market. It provides a framework for finding the equilibrium expected return of risky securities, with implications for: the risk-return relationship of individual securities and efficient portfolios; identifying under- and over-valued traded assets; pricing assets not yet traded; the effect of leverage on the cost of equity; capital budgeting and the cost of capital; and reducing firm risk through project-portfolio diversification.

Assumptions: all investors are price-takers (too numerous for any one to move prices); all investors apply Markowitz’s mean-variance portfolio-selection approach (an asset’s contribution to the whole portfolio’s risk-return profile matters, not its performance in isolation); securities are perfectly divisible; all investors share an identical holding period; investors can borrow or lend freely at the same risk-free rate; and there are no transaction costs or income taxes.

A share’s market price is influenced by both systematic and unsystematic risk, but CAPM measures only the systematic component, via Beta — which measures how much an equity share’s value moves relative to the market index. A high Beta means a riskier share.

CAPM has two graphical elements: the Capital Market Line (CML) and the Security Market Line (SML).

• CML: plots the expected return of efficient portfolios (Y-axis) against the portfolio’s standard deviation/total risk (X-axis); it measures risk via standard deviation and describes only efficient portfolios, and is generally considered superior for measuring overall risk. Formula: E(Rp) = Rf + SDp × [(E(Rm) − Rf) ÷ SDm], where E(Rp) = expected return of the portfolio, Rf = risk-free rate, SDp = standard deviation of the portfolio, E(Rm) = expected market return, and SDm = standard deviation of the market.
• SML (also called the characteristic line): a graphical representation of the CAPM formula itself, plotting the return of individual securities (Y-axis) against their Beta (X-axis); it measures risk via Beta — a security’s contribution to portfolio risk — and can describe both efficient and inefficient/mispriced securities (identifying over- or under-valued assets relative to the line).

Return

Return is the reward and the motivating force behind investment — the amount of gain, profit or proceeds accruing to an investor. Return on a typical investment has two components:

• Yield: the earnings generated and realised on an investment over a given period, usually expressed as a percentage of the invested amount, current market value, or face value.
• Capital gain: the profit earned on selling an asset (shares, bonds, real estate, etc.) when the selling price exceeds the purchase price — the difference between the (higher) selling price and the (lower) cost price.

Types of return: Realised return, R = [D + (P1 − P0)] ÷ P0 × 100, where D = dividend received, P0 = opening price and P1 = closing price. Expected return, R̄ = Σ(P × R) when probabilities are known, or simply R̄ = ΣR ÷ N (a simple average) when they are not given; the corresponding standard deviation is σ = √[Σ P(R−R̄)²], or σ = √[Σ(R−R̄)²/N] when probabilities are not given.

Worked example: comparing two companies

ABC Ltd. and XYZ Ltd. each have a probability distribution of possible returns. For ABC Ltd. (probabilities 10%, 20%, 40%, 20%, 10% against returns −8%, 10%, 8%, 5%, −4%): expected return R̄ = 5%, and standard deviation σ = √33.6 ≈ 5.8%. For XYZ Ltd. (probabilities 10%, 20%, 40%, 20%, 10% against returns 14%, −4%, 6%, 15%, 15%): expected return R̄ = 7.5%, and standard deviation σ = √48.45 ≈ 6.96%. Comparing the two purely on standard deviation would favour ABC (lower σ), but since the two companies have different expected returns, the coefficient of variation is the fairer basis for comparison: CV(ABC) = 5.8 ÷ 5 = 1.16, and CV(XYZ) = 6.96 ÷ 7.5 ≈ 0.928 — since a lower CV is preferable, XYZ Ltd. offers the better risk-adjusted return per unit of expected return, despite its higher absolute standard deviation.

Risk-return trade-off

Since risk and return go hand in hand with investment, a financial manager weighs both factors together: higher risk is generally associated with a greater probability of higher return, and lower risk with a greater probability of a smaller (but more certain) return. This trade-off an investor faces between risk and return when making investment decisions is known as the risk-return trade-off.

Securitisation is the conversion of receivables or cash flows from a pool of financial assets (mortgage loans, auto loans, credit card receivables, lease rentals, trade receivables) into tradable securities that are sold to investors. The RBI’s circular on securitisation of standard assets describes it as a process by which assets are sold to a bankruptcy-remote Special Purpose Vehicle (SPV) in return for an immediate cash payment.

Parties involved

• Originator: the original lender and seller of the receivables (banks, mortgage financiers, finance companies, credit card companies, hoteliers, insurers, airlines, governments).
• Obligor/borrower: the counterparty to whom the originator made the original loan.
• Issuer (SPV): typically set up as a trust; the SPV (via the trust) issues the securities that investors subscribe to.
• Investors: subscribe to the securities; mainly banks, financial institutions, NBFCs and mutual funds.
• Trustee: usually a reputed bank, financial institution or independent trust company; oversees the transaction till maturity and holds powers to protect investors’ interests.
• Credit rating agencies: independent agencies that analyse the risk of the transaction and assign a credit rating to the instrument issued; ratings from major agencies matter because investors rely on them.

Key instruments

• Asset-Backed Securities (ABS): bonds/notes backed by financial assets such as credit card receivables, auto loans, manufactured-housing contracts and home-equity loans.
• Mortgage-Backed Securities (MBS): bonds backed by pools of mortgage loans (mortgage papers, house papers, land and property papers); typical trading duration is longer (up to 15 years) compared with ABS (up to about 5 years), whose securities are things like credit card receivables and auto/vehicle papers.
• Collateralized Mortgage Obligations (CMOs): multiclass bonds backed by a pool of mortgage pass-through securities or mortgage loans, or a combination of both.
• Collateralized Debt Obligation (CDO): an investment-grade security backed by a pool of various other securities.

Securitisation in India

• In existence in India since the early 1990s; the first securitisation deal was in 1991, when Citibank raised Rs 16 crore from GIC Mutual Fund by securitising some of its auto loans.
• Major players in the Indian market: commercial financial institutions, public sector units, corporate government bodies, mutual funds and pension funds.
• The SARFAESI Act, 2002 (Securitisation and Reconstruction of Financial Assets and Enforcement of Security Interest Act, 2002) came into force on 21 June 2002. It regulates securitisation and reconstruction of financial assets and enforcement of security interest, and allows banks and other financial institutions to auction commercial or residential properties to recover a loan when a borrower defaults.
• RBI’s updated guidelines for Asset Reconstruction Companies (ARCs), effective 24 April 2024: minimum capital raised to Rs 300 crore (from Rs 100 crore earlier), with existing ARCs given a transition period to reach this Net Owned Fund (NOF) threshold by 31 March 2026 (an intermediate minimum of Rs 200 crore applied by 31 March 2024). Non-compliance at any stage can attract supervisory action, including a bar on incremental business. ARCs with a minimum NOF of Rs 1,000 crore are eligible to act as resolution applicants under the Insolvency and Bankruptcy Code, 2016.

Benefits of securitisation

• For originators: converts an on-balance-sheet lending business into an off-balance-sheet, less capital-intensive fee-income stream; can lower borrowing costs, free up capital for expansion/reinvestment, and improve asset-liability and credit-risk management.
• For investors: attractive yields relative to comparable instruments, improved secondary-market liquidity, and protection through collateral overages or guarantees from highly-rated entities; diversified asset pools and structural credit enhancements reduce the need to analyse each underlying loan individually.
• For borrowers: wider availability of credit on terms lenders might not otherwise offer, since a ready secondary market lets lenders extend credit (e.g. fixed-rate mortgages) without over-exposing themselves to interest-rate risk; credit-card lenders can originate larger, more diverse loan pools at lower rates.

Process of securitisation

1. The originator pools assets (typically loans such as mortgages or auto loans) and sells the pool to the SPV.
2. The SPV issues tradable securities (often bonds), backed by the cash flows from the acquired asset pool, and sells them to investors to raise the funds needed to pay the originator.
3. The SPV pays the originator for the pool of assets; the originator no longer owns the assets, and the SPV now manages and distributes the cash flows they generate.
4. The SPV typically subcontracts the originator (as servicer) to continue collecting interest and principal payments from the underlying borrowers.
5. As borrowers make their payments, the SPV collects and distributes these cash flows to the investors holding the securities, providing their return on investment.

Put another way, the process runs through five functional stages: origination (the borrower approaches the originator — a bank or financial institution — for a loan, secured against collateral); pooling (the originator sells off the resulting receivables, via pledge receipts, to the SPV); securitisation itself (the SPV converts these receivables into marketable securities — either a Pay-Through Certificate or a Pass-Through Certificate (PTC) — which merchant banks then place with investors, who buy them for the long-run return); and finally the originator receives a lump sum from the SPV, albeit at a discounted value, while the merchant bank earns a fee for arranging the placement. Borrowers themselves are generally unaware that their loan has been securitised, and continue paying instalments as before.

Reasons firms raise funds via securitisation: to accelerate the recognition of earnings for financial-reporting purposes; to diversify funding sources rather than relying on one or two channels; the potential to reduce the overall cost of funding (securitised assets can be cheaper for banks to hold, since regulators historically applied different capital standards to them than to the underlying assets); and the ability to meet customer demand for credit while helping to improve the originator’s own credit rating.

Types of securitisation structure: a self-liquidating structure, where the collateral is fixed for the entire life of the asset and the (typically short-term) loan is repaid from the cash generated by the very asset it financed; a revolving structure, where the issuing entity issues multiple series/classes/tranches of asset-backed securities on different dates, all collateralised by a common pool of assets whose composition changes over time; an amortised structure, where the securities are debt-backed by a loan or pool of loans, with repayments on the original loan simply flowing through to the investor holding the security it generated; and a collateralised structure, the general term for any secured loan, where the lender holds some specified asset (such as a mortgaged property) as security if the debt is not repaid.

A fuller breakdown of the steps names them as: seasoning (the underlying assets, such as loans, are allowed to “mature” for a period so a payment-history track record is established before securitisation); credit enhancement (guarantees, reserves or other measures are built in to reduce the risk attached to the securities); forming the SPV; transferring the underlying assets to the SPV; and issuance of the asset-backed securities to investors.

The International Monetary System (IMS) is the framework — the set of arrangements, rules, practices and institutions — governing financial interactions and transactions across national borders. It covers not just the issuance of international currency but also how different national currencies interact with each other, and the mechanisms for managing, adjusting and settling balance-of-payments relationships between countries.

Key processes the IMS oversees

1. Balancing countries’ balance-of-payments positions, including establishing and modifying exchange rates.
2. Addressing payment imbalances between countries through the use of credit or reserves.
3. Providing international reserves (currency) so that nations can manage temporary balance-of-payments deficits.

Aims of the International Monetary System

• Efficient, unrestricted flow of international investment.
• Stability in foreign exchange markets.
• Facilitating balance-of-payments adjustments so as to prevent disruption.
• Supplying countries with adequate liquidity to handle temporary balance-of-payments deficits without triggering deflation or inflation.
• Minimising additional uncertainty in the monetary system.
• Allowing member nations to pursue independent fiscal policies.

Five stages in the evolution of the International Monetary System

• Bimetallism (before 1875): a “dual standard” era in which both gold and silver served as currency; countries variously adopted the gold standard, the silver standard, or both simultaneously, with exchange rates set by each currency’s gold or silver content. Under Gresham’s Law (1858) — “bad money drives out good” — when coins of different metal values circulate as legal tender at equal face value, people preferentially spend the cheaper-metal coins and hoard or export the more valuable ones, which gradually disappear from circulation.
• Classical Gold Standard (1875–1914): the relative value of currencies was fixed by each country’s gold reserves. Gold enjoyed unrestricted coinage, a two-way convertibility system let gold be exchanged for national currency (and vice versa) at a stable ratio, and gold could move freely across borders. This era itself passed through three variants: the Gold Specie Standard (currency coins were themselves made of gold, or backed by a fixed weight of gold, and were freely convertible into gold at a fixed rate — gold coins actually circulated as money, with free coinage and free import/export of gold); the Gold Bullion Standard (adopted after World War I, e.g. by the UK in 1925 — gold coins no longer circulated, and paper currency was instead convertible into gold bullion/bars held in reserve, with convertibility restricted to large quantities only); and the Gold Exchange Standard (a country’s currency was not directly convertible into gold, but into another key foreign currency — such as the US dollar or pound sterling — that was itself convertible into gold, so gold reserves were effectively replaced by foreign-exchange reserves and less gold was needed overall; India, before independence, practised this standard, with the rupee linked to the pound sterling).
• Interwar Period (1915–1944): exchange rates grew volatile as countries resorted to competitive currency devaluations to gain export advantage; attempts to restore the gold standard failed for lack of political will, and the resulting instability culminated in the Great Depression (1930–1939).
• Bretton Woods System (1945–1972): named after the 1944 Bretton Woods, New Hampshire conference, it aimed to build a stable post-war IMS without a pure gold standard. It established the International Monetary Fund (to maintain order in the global monetary system) and the World Bank (to promote worldwide economic development). The US dollar was pegged to gold at $35/ounce, other currencies pegged their value to the dollar, and countries had to keep their exchange rate within ±1% of the chosen par value — a dollar-based gold-exchange standard. It collapsed as foreign-held dollar reserves grew (partly from financing the Vietnam War) and doubts grew about the US’s ability to honour dollar-gold convertibility; President Nixon closed the “gold window” in 1971, and the 1971 Smithsonian Agreement among the G10 effectively ended the fixed-rate system.
• The Flexible Exchange Rate Regime (1973–present): IMF members accepted flexible exchange rates, central banks gained authority to intervene in currency markets against excessive volatility, and the world moved away from gold-backed currencies.

Current exchange-rate arrangements: roughly 48 countries operate a free float (market forces alone set the currency’s value); about 25 countries use a managed float (blending government intervention with market forces); some countries peg their currency to another (e.g. the US dollar); and a few countries, such as Ecuador and Panama, have no national currency of their own and simply use the US dollar — known as dollarisation.

Devaluation, revaluation, depreciation and appreciation

These four terms all describe a fall or rise in a currency’s value, but which term applies depends on the exchange-rate regime in force:

• Devaluation: a deliberate, officially-ordered reduction in the value of a domestic currency against other currencies under a fixed exchange-rate regime — the government/central bank decides to raise the domestic-currency price of foreign currencies.
• Revaluation: the opposite of devaluation — an officially-ordered increase in the domestic currency’s value under a fixed exchange-rate regime.
• Depreciation: a fall in the domestic currency’s market value against a foreign currency under a floating/flexible exchange-rate regime, driven by market forces (demand and supply) rather than by official action.
• Appreciation: the opposite of depreciation — a rise in the domestic currency’s market value under a floating exchange-rate regime, again driven by market forces.

Effect of rupee depreciation/appreciation: if the rupee depreciates (e.g. USD/INR moves from ₹80 to ₹85), imports become costlier (more rupees needed per dollar), exporters earn more rupee-revenue per dollar of exports, and an Indian travelling abroad finds the trip costlier. If the rupee appreciates instead (e.g. USD/INR moves from ₹80 to ₹77), imports become cheaper, exporters earn less rupee-revenue per dollar, and foreign travel becomes cheaper for Indian tourists.

Foreign Exchange Rate

The foreign exchange rate is the rate at which one country’s currency can be exchanged for another’s. It is shaped by supply-and-demand dynamics in the forex market, economic indicators, geopolitical events and central-bank policy. A country’s own currency generally cannot be used directly in another country — for example, the Indian rupee is not directly accepted in the USA — which is why exchange rates and currency markets matter as economies become more interdependent.

Types of foreign exchange rate systems

1. Fixed Exchange Rate

The exchange rate is fixed by the government, which is then responsible for maintaining its stability — each country pegs its currency’s value to an external standard (gold, silver, another precious metal, or another country’s currency) to keep trade and capital flows stable. The central bank/government buys foreign exchange when the foreign currency’s rate rises, and sells when it falls, to defend the fixed rate — which requires maintaining large foreign-currency reserves. Tying the domestic currency’s value to another currency this way is called pegging, so a fixed system is also called a Pegged Exchange Rate System; when a currency’s value is fixed in terms of another currency or gold, that fixed value is its parity value. Historical examples: the Gold Standard System (1870–1914) and the Bretton Woods System (1944–1971).

Merits: ensures exchange-rate stability, which promotes foreign trade; helps the government control domestic inflation; curbs speculation in the forex market; promotes domestic capital movement since there is no uncertainty about foreign rates; and helps prevent capital outflow.

Demerits: requires large gold/forex reserves, which can hinder capital movement; may lead to under- or over-valuation of the currency; discourages free-market objectives; and makes it harder for a country to respond to a depression or recession. Fixed exchange rates have, for these reasons, been discontinued by most leading economies, India included.

2. Flexible (Floating) Exchange Rate

The exchange rate is set by the free play of demand and supply for different currencies in the forex market, with no government intervention — hence also called the Floating Rate of Exchange or Free Exchange Rate. The rate at which demand for a foreign currency equals its supply is called the Par Rate, Normal Rate, or Equilibrium Rate of foreign exchange.

Merits: the government need not hold large reserves; it eliminates over/under-valuation of the currency; it encourages foreign-exchange-denominated venture capital; and it improves efficiency in resource allocation.

Demerits: encourages speculation; lacks stability since the rate keeps fluctuating with demand/supply; makes coordinating macroeconomic policy harder; and the resulting uncertainty can discourage international trade.

3. Managed Floating Exchange Rate

A hybrid of the fixed-rate system (“managed”) and the flexible-rate system (“floating”) — the rate is set by market forces, but the central bank intervenes to stabilise it when the domestic currency appreciates or depreciates sharply. The central bank acts as a large buyer or seller of foreign exchange (selling when the rate is high, buying when it is low) to keep the rate within a target band, protecting importers’ and exporters’ interests, and maintains forex reserves for this purpose. A country that manipulates its rate outside agreed rules is said to practise dirty floating.

Other exchange rate systems

• Adjustable Peg System: member countries fix their currency’s exchange rate against one specific currency for a given period, though it can occasionally be re-pegged even before that period ends — at a lower rate (devaluation) or a higher rate (revaluation).
• Wider Band System: a country may let its currency’s exchange value move within a band of about 10% to help correct balance-of-payments disequilibrium — e.g. a country with a balance-of-payments surplus may let its currency appreciate by up to 10% from parity.
• Crawling Peg System: a middle ground between dirty floating and the adjustable peg — the country specifies a parity value for its currency and allows only small variations around it, with the parity itself adjusted regularly based on the country’s international reserves and changes in money supply and prices.

The foreign exchange market is a global, online network — with no single physical location — where currencies are bought, sold and converted by traders, including individuals, firms, forex brokers, commercial banks and central banks; it is also where exchange rates for floating-rate currencies are set.

Functions of the foreign exchange market

• Credit: provides the credit foreign trade needs — for instance, the time an importer needs to take possession of goods, sell them, and raise the money to settle the bill.
• Transfer: transfers purchasing power between the countries involved in a transaction, carried out through credit instruments such as bills of foreign exchange, bank drafts and telephonic/wire transfers.
• Hedging: when exporters and importers agree to buy/sell goods on a future date at today’s price and exchange rate, that is hedging — its purpose is to avoid losses that future exchange-rate movements might otherwise cause.

Kinds of foreign exchange market, by settlement timing

• Spot market: the immediate-delivery segment, where currency purchase/sale transactions are settled within two days of the deal; it operates daily, dealing only in spot transactions. The rate prevailing here is the spot exchange rate (current rate of exchange).
• Forward market: covers sale/purchase of foreign exchange for a specified future date (commonly 90 days after the deal), at an exchange rate fixed today — the forward exchange rate. Since most international transactions are signed on one date but completed later, the forward rate is useful to both parties in locking in certainty.

Exchange rate quotation methods

• Direct quote: the domestic (home) currency is expressed as a variable number of units per one unit of the foreign currency — e.g., in India, ₹83 = US $1.
• Indirect quote: the foreign currency is expressed as a variable number of units per one unit of the domestic currency — e.g., US $0.012 = ₹1.
• American quote: quoting the number of US dollars per one unit of another currency.
• European quote: quoting a foreign currency per one US dollar — i.e. the US dollar is the base currency in the quotation.
• Bid rate (buy rate): the rate at which an authorised dealer/bank is willing to buy foreign currency from a customer — the customer sells foreign currency at this rate.
• Offer rate / ask rate (sell rate): the rate at which the dealer is willing to sell foreign currency to a customer — the customer buys foreign currency at this rate. The gap between the bid and offer rate is the dealer’s spread.
• Cross rate: an exchange rate between a pair of currencies, neither of which is the official currency of the country where the rate is being quoted — e.g. a Canadian-dollar/British-pound rate quoted in an Indian newspaper is a cross rate, since neither currency in the pair is the Indian rupee.

Intervention (quote/counter) currency: the currency in terms of which another (domestic) currency is quoted — i.e. the reference or base currency used to express an exchange rate. For example, in the quote “INR/USD,” the US dollar is the intervention/quote currency against which the rupee’s value is expressed.

Vehicle currency: a currency used to settle a trade transaction even though it is the national currency of neither the importer nor the exporter — e.g. a Brazilian importer paying a Japanese exporter in US dollars. The US dollar is by far the most widely used vehicle currency, letting traders route transactions through it instead of arranging direct bilateral trade between their own, often thinly-traded, currency pairs. A country whose currency serves as the world’s vehicle currency enjoys a benefit called seigniorage — the profit or revenue a country earns from the simple ability to issue (and have others widely hold) its own currency.

Internal (operational) hedging techniques

Alongside financial derivatives, firms also manage currency risk through purely internal, non-derivative operating techniques:

• Matching: deliberately arranging two offsetting transactions — one purchase and one sale — in the same foreign currency and for similar amounts, so that the currency received from one largely cancels the currency owed on the other; this can also be done by grouping several transactions that add up to similar totals on both the sales and purchase sides.
• Leading and lagging: timing foreign-currency payments to take advantage of expected currency movements. Leading means paying a foreign-currency payable earlier than its due date (or collecting a receivable earlier) when that currency is expected to appreciate — settling early locks in today’s cheaper rate. Lagging means delaying payment of a payable (or delaying collection of a receivable), sometimes past the due date, when that currency is expected to depreciate — waiting lets the firm settle later at a cheaper rate. Businesses using these techniques try to anticipate which way a currency will move and time their transactions accordingly.
• Asset-liability management (ALM): managing currency risk by moving cash inflows into stronger currencies, or by settling payments using funds held in weaker currencies.
• Netting: a risk-reduction method that aggregates multiple financial obligations between two or more parties to arrive at a single net obligation, cutting settlement, credit and other financial risks. There are four common types: close-out netting (applied after a default — when a party fails to make a repayment, outstanding transactions between the parties are netted down to a single amount payable by only one party); settlement netting (consolidates amounts due among parties and offsets their cash flows into a single payment, so only the net difference actually changes hands); netting by novation (cancels offsetting swap obligations and replaces them with new obligations calculated on the net amount owed between two companies as of the settlement date); and multilateral netting (netting involving more than two parties at once — often mediated by a clearing house, central exchange, or central counterparty (CCP) acting as intermediary between buyers and sellers, and sometimes used inside a single company with multiple subsidiaries).

Natural hedge vs. financial hedge: a natural (operational) hedge arises through normal business operations, without using any derivative — it occurs when a firm’s foreign-currency inflows and outflows naturally offset each other (e.g. an exporter who also imports in the same foreign currency uses its export dollar receipts to pay its import dollar bills), usually at no extra cost but with limited flexibility. A financial hedge, by contrast, is a deliberate contractual arrangement using instruments such as forwards, futures, options and currency swaps specifically for risk management — it involves a premium or contract cost but is highly flexible.

Hedging

Hedging covers the various strategies used to reduce risk and limit the impact of adverse future market movements. It uses financial instruments to guard against unforeseen fluctuations, making a firm’s cash flows more stable and predictable — which in turn lets a company forecast its income, taxes and revenues more reliably.

Hedging techniques / contracts in the foreign exchange market

1. Forward contracts: customised, over-the-counter (OTC) derivative agreements between two parties to buy or sell a specific asset at a set price on a set future date, letting both sides lock in a price and avoid the risk of adverse future price movement. Settled only once, on the contract’s maturity date.
2. Futures contracts: standardised contracts that trade on organised stock exchanges and are settled daily, with fixed maturity dates and uniform terms; because payment on the agreed date is effectively guaranteed, they carry comparatively low risk.
3. Options contracts: a derivative giving the buyer the right, but not the obligation, to buy or sell the underlying asset by a set expiration date at a specified strike price, in exchange for an upfront option premium. American-style options can be exercised any time up to expiration; European-style options can only be exercised on the expiration date itself. A call option gives the buyer the right (not the obligation) to buy the underlying asset at the strike price — investors buy calls when they expect the price to rise, and sell calls when they expect it to fall. A put option gives the buyer the right (not the obligation) to sell the underlying asset at the strike price (and obliges the writer/seller to buy it if the put is exercised) — investors buy puts when they expect the price to fall, and sell puts when they expect it to rise.
4. Swap contracts: a derivative contract in which two parties exchange the cash flows or liabilities of two different financial instruments, usually based on a notional principal amount (e.g. a loan or bond), without the principal itself changing hands. One cash-flow “leg” is usually fixed and the other variable (tied to a benchmark interest rate, a floating exchange rate, or an index). The most common types are interest rate swaps and currency swaps. Swaps do not trade on exchanges and are rarely used by retail investors — they are OTC contracts, mainly between businesses or financial institutions, customised to both parties’ needs.

Forward vs futures contracts: forwards are customised, OTC-traded, settled only on maturity, carry higher risk, have a size set by the contract’s own terms, need no collateral, mature on whatever date the contract specifies, are self-regulated, and have low liquidity. Futures are standardised, exchange-traded, settled daily, carry lower risk, have a fixed contract size, require an initial margin, mature on a predetermined exchange-set date, are regulated by the stock exchange, and are highly liquid.

Hedgers, speculators and arbitrageurs

Participants in derivatives/forex markets are generally grouped into three types, by their intention and appetite for risk:

A hedger gives up some potential opportunity/profit in exchange for reduced risk, while a speculator takes on risk in exchange for the chance of greater opportunity/profit. Speculation involves high risk, arbitrage involves comparatively limited risk, and hedging is done specifically to avoid risk. A scalper is a particular kind of speculator/day-trader who buys and sells securities over very short holding periods — often entering and exiting positions within minutes or seconds — to profit from small price changes, sometimes executing many trades within a single day.

Exchange rate risk

Exchange rate risk — also called currency risk or foreign exchange risk — exists whenever a financial transaction is denominated in a currency other than the company’s base currency. Investors and multinational businesses that export, import, or make foreign investments face this risk, which can have serious financial consequences if not properly managed: it is the exposure faced by investors or companies operating across countries to unpredictable gains or losses caused by changes in the relative value of one currency against another.

Types of foreign exchange exposure

Exposure is the sensitivity of an asset’s value to fluctuations, while risk refers to how much that exposure can actually affect the asset or the firm’s operations — an exposure is a contracted, projected or contingent cash flow whose magnitude is not yet certain, depending on variables such as exchange rates and interest rates.

• Transaction exposure (cash-flow exposure): the possible exchange gain or loss on existing transactions already denominated in a foreign currency; the firm must convert foreign currency into domestic currency to realise the domestic value of these foreign-denominated cash flows. It is a short-term risk, falling on specific individual transactions, and is managed mainly through hedging (forwards, options, currency swaps) or natural hedging (matching foreign earnings against foreign expenses). Example: an Indian exporter expecting $10,000 when $1 = ₹83 would expect ₹8,30,000, but if the rupee strengthens to ₹80/$ by the time payment arrives, it receives only ₹8,00,000 — a ₹30,000 loss purely from the exchange-rate move (exporters lose when the home currency appreciates; importers lose when it depreciates).
• Economic exposure (operating exposure): the degree to which a firm’s market value is affected by unexpected exchange-rate movements — such movements can significantly affect the firm’s competitive position, its future cash flows, and ultimately its overall value. Unlike transaction exposure, it is a long-term, strategic risk affecting the business as a whole (not just individual deals), managed through business strategies such as geographical diversification, pricing adjustments, or relocating production, rather than through hedging alone. Example: if the rupee depreciates, an Indian software exporter earns more rupees per dollar of revenue (a gain), while an Indian importer of machinery must pay more rupees for the same dollar-priced goods (a loss) — and the reverse happens if the rupee appreciates.
• Translation (accounting) exposure: the extent to which a firm’s financial reporting is affected by exchange-rate movements — the exchange gain or loss arising from the difference between exchange rates at the start and end of an accounting period. A firm is exposed to translation loss when it uses the current exchange rate to translate its foreign assets and liabilities for reporting purposes. It affects only financial statements, not real cash flows, and is most relevant to multinational companies consolidating foreign subsidiaries’ accounts; it is managed via the functional-currency approach, hedging, geographical diversification, or balance-sheet matching (keeping assets and liabilities in the same currency). Example: if an Indian parent’s US subsidiary earns a $10 million profit, that translates to ₹60 crore at ₹60/$ but only ₹55 crore if the rupee appreciates to ₹55/$ by the reporting date — a ₹5 crore “notional” loss on paper, even though the subsidiary’s actual dollar profit hasn’t changed.

Euro currency

The euro is the common currency created out of the 1992 Maastricht Treaty, under which the twelve original member countries of the European Community (now the European Union) formed an economic and monetary union and agreed on a corresponding common unit of exchange. The new currency, the euro, was officially issued on 1 January 1999. It replaced the national currencies of participating member states (the “Eurozone”), giving them a single shared currency for cross-border trade and investment within the union, eliminating intra-EU exchange-rate risk and conversion costs among member states, and functioning as a major international reserve and invoicing currency alongside the US dollar in global finance.

Note: a related but distinct older usage of the term “Eurocurrency” (lower-case, pre-dating the euro itself) refers more generally to any currency held or deposited in banks outside its country of origin — e.g. US dollars deposited in a bank outside the United States are called “Eurodollars,” regardless of whether the bank is actually located in Europe. This Eurocurrency/Eurodollar market functions as an offshore money market, letting multinational firms and banks borrow and lend major currencies outside the regulatory reach of the currency’s home-country authorities.

Depository Receipts — overview

A Depositary Receipt (DR) is a negotiable certificate representing shares in a foreign company, traded on a local stock exchange. DRs let investors hold equity in foreign companies without trading directly on a foreign market, letting them diversify their portfolios across different markets/economies more conveniently and cheaply than buying foreign stock directly. DRs created by a domestic depository bank against the underlying equity shares of an issuing company are themselves negotiable instruments, and are listed on a local stock exchange to enable trading of foreign securities in the form of ADRs, GDRs, etc.

American Depositary Receipts (ADR)

ADRs are negotiable certificates that give US investors authority to invest in non-US companies, introduced in 1927 as an easier alternative to buying shares directly on international exchanges. An ADR functions much like an ordinary stock certificate, denoting a certain number of shares; it usually trades in US dollars, settled through US settlement systems, and can be listed on the NYSE, NASDAQ or AMEX, or traded over-the-counter. ADRs are regulated in the US by the Securities and Exchange Commission (SEC).

Characteristics of ADRs: can be listed on any American stock exchange; a single ADR can represent more than one underlying share (e.g. 1 ADR = 10 equity shares); the holder can convert ADRs into actual shares; ADR holders have no voting rights in the company; dividends on ADRs mirror the dividend on the underlying shares; and ADRs are denominated in US dollars.

Types of ADR: Sponsored ADRs — the foreign company itself enters into an agreement with a US depositary bank, which then handles recordkeeping, sale and distribution of shares and dividends; sponsored ADRs can be listed on US exchanges. Non-sponsored ADRs — created by brokers/dealers without the foreign company’s cooperation, traded only over-the-counter without SEC registration.

Levels of sponsored ADRs: Level I — the lowest level, most common for companies that don’t qualify for (or don’t want) a US exchange listing; subject to the lightest SEC reporting requirements and traded only OTC. Level II — more SEC requirements than Level I, letting the company establish a bigger trading presence on US exchanges; requires filing a registration statement and Form 20-F (prepared under GAAP or IFRS — the foreign-company equivalent of Form 10-K filed by US public companies). Level III — the highest and most prestigious level, letting a foreign company float a public offering of ADRs to raise fresh capital from American investors via US exchanges; subject to the strictest SEC regulation.

Advantages of ADRs: American investors can invest in foreign companies that may fetch them higher returns; foreign companies get registered on a US stock exchange and have their shares traded in two different countries at once; and investors can potentially benefit from favourable currency fluctuations. Disadvantages of ADRs: exposure to the risk associated with foreign-exchange fluctuation; a limited number of foreign companies are actually available to invest in this way; and any compliance violation can invite strict action from the (US) Securities and Exchange Commission.

Illustrative step-by-step process (e.g. an Indian company such as Infosys raising funds from US investors):

1. The Indian company deposits its shares with a custodian bank in India
2. A US depositary bank (e.g. JPMorgan) issues ADRs against those underlying shares
3. The ADRs are listed on a US exchange such as the NYSE
4. US investors then buy and sell the ADRs in US dollars — they never deal directly in rupees, and dividends are paid to them in USD

Global Depositary Receipts (GDR)

A GDR is a type of bank certificate that functions as shares of a foreign company, letting that company raise equity from the international market. It is issued by a depository bank located outside the issuing company’s home country, to investors resident in that other country, and is mostly traded in European markets — issuing GDRs is one of the most common routes for raising equity overseas.

Characteristics of GDRs: can be listed on any American or European stock exchange; a single GDR can represent more than one underlying share (e.g. 1 GDR = 10 equity shares); holders can convert GDRs into actual shares; GDR holders have no voting rights; dividends mirror the underlying shares’ dividend; and GDRs are denominated in US dollars.

Advantages of GDRs: gives the issuing company access to foreign capital markets; GDRs can be freely transferred; and they increase the company’s overall shareholder base. Disadvantages of GDRs: violating any applicable regulation can have serious consequences for the company; dividends are paid in the domestic country’s currency, which is subject to forex-market volatility from the foreign holder’s point of view; and a GDR issue is one of the more expensive sources of finance.

Process of issuing an ADR/GDR

1. Company decision and approval: a company (often from India or another developing economy) decides to raise money from international investors, and secures regulatory approval (e.g. SEBI and the RBI in India’s case).
2. Selection of a depository bank: the company partners with a foreign depository bank (e.g. JPMorgan, Citibank), which will issue the ADRs/GDRs to investors.
3. Share transfer to a custodian: the company deposits its shares with a local custodian bank in its home country; the foreign depository bank then issues ADRs/GDRs backed by these underlying shares.
4. Pricing and listing: the company and its investment bankers price the ADRs/GDRs, which are then listed — ADRs on US exchanges (NYSE/NASDAQ), GDRs on European or other global exchanges (e.g. the London Stock Exchange).
5. Foreign investors buy ADRs/GDRs: investors in the US (ADRs) or other global markets (GDRs) buy these receipts, which represent the underlying company’s shares but trade in a foreign currency (USD or Euro).
6. Trading and conversion: investors can trade ADRs/GDRs like ordinary stock, and can convert them into the underlying company shares if they wish.

Arbitrage is the simultaneous purchase and sale of an asset (here, a currency or foreign security) to profit from a price imbalance between markets. It is not, in a real sense, a method of hedging foreign exchange risk — it is instead a way of profiting from foreign exchange transactions, exploiting short-term price differences that exist only because of market inefficiencies; in a perfectly efficient market, arbitrage opportunities would not exist at all. By buying where a currency/asset is priced low and selling where it is priced high, arbitrage also helps push the market back toward equilibrium.

International arbitrage specifically refers to simultaneously buying and selling a foreign security (or currency) on two different exchanges. It is profitable when pricing inefficiencies arise — commonly from timing differences between markets opening at different times, or from exchange-rate movements — and is generally considered a low-risk strategy, since a trade is only worth making when the price differential between the two markets is large enough to cover the transaction costs involved.

Types of international arbitrage

1. Locational arbitrage

Locational arbitrage seeks to profit from a difference between the bid (buying) and ask (selling) exchange rates quoted for the same currency by different banks. It is possible whenever one bank’s bid (buying) price for a currency is actually higher than another bank’s ask (selling) price for that same currency.

2. Triangular arbitrage

Triangular arbitrage aims to correct a “cross-rate disequilibrium” — it becomes possible when the cross exchange rate between two foreign currencies quoted directly by a bank differs from the rate one would calculate by routing through a third (often dollar-based) currency.

3. Covered interest arbitrage

Covered interest arbitrage means capitalising on an interest-rate differential between two countries (on assets of similar risk and maturity), while simultaneously “covering” (hedging) the resulting exchange-rate risk with a forward contract. This tends to enforce a specific relationship between the forward rate’s premium or discount (versus the spot rate) and the interest-rate differential between the two countries.

How arbitrage keeps the market orderly

• Locational arbitrage capitalises on exchange-rate discrepancies across different physical locations/banks.
• Triangular arbitrage capitalises on discrepancies in cross exchange rates between three currencies.
• Covered interest arbitrage capitalises on a discrepancy between the forward-rate premium/discount and the interest-rate differential between two countries.

In every case, any pricing discrepancy that appears triggers arbitrage activity, and that very activity — traders buying where prices are cheap and selling where they are dear — eliminates the discrepancy, which is what makes the foreign exchange market more efficient and orderly over time.

Interest Rate Parity, Purchasing Power Parity and the International Fisher Effect

Three related theories explain how interest rates, inflation and exchange rates are linked, and why covered interest arbitrage opportunities tend to be short-lived:

• Interest Rate Parity (IRP): states that the difference in interest rates between two countries equals the forward premium or discount on their currencies, and is itself the no-arbitrage condition underlying covered interest arbitrage — an equilibrium state in which an investor is indifferent between the deposit rates available in either of two countries once the forward rate premium/discount is taken into account. When this condition holds, it ensures there is no risk-free arbitrage opportunity left in international money markets.
• Purchasing Power Parity (PPP): states that exchange rates adjust over time to offset differences in inflation rates between two countries, based on the “Law of One Price” — that identical goods should cost the same in different countries once converted to a common currency via the prevailing exchange rate. Formula: Expected spot rate = Current spot rate × (expected difference in inflation rates), i.e. E(S₁) = S₀ × [(1+I_domestic)/(1+I_foreign)]. Example: if inflation in India is 8% against 3% in the US, the rupee is expected to depreciate by roughly the 5-percentage-point inflation differential. In practice, market imperfections (transportation costs, tariffs, quotas) mean PPP holds only approximately, since identical products in different countries are not always priced exactly the same once converted to a common currency.
• International Fisher Effect (IFE): uses interest-rate differentials, rather than inflation-rate differentials directly, to explain exchange-rate movements over time — closely related to PPP because interest rates are themselves highly correlated with inflation. It holds that a nominal (risk-free) interest rate embeds both a real rate of return and the market’s anticipated inflation (Nominal interest rate = Real interest rate + Expected inflation — the Fisher equation), so if investors everywhere require the same real return, interest-rate differentials between countries largely reflect differences in expected inflation. IFE therefore predicts that a foreign currency carrying a relatively high nominal interest rate will tend to depreciate, because that high rate chiefly reflects the market’s higher expected inflation (and, in part, the investment’s default risk) rather than a genuinely higher real return.

Nominal vs. real interest rate: the nominal rate is the rate actually advertised by banks on loans, deposits and investments; the real rate — the nominal rate minus expected/actual inflation — measures the real purchasing-power return to the lender/investor, and can turn negative if inflation outpaces the nominal rate.

Nostro, Vostro and Loro accounts

Banks settling cross-border foreign-exchange transactions maintain correspondent accounts with each other, distinguished by whose currency the account is held in and from whose point of view it is being described:

• Nostro account (“our account with you”): an account that a domestic bank maintains with a bank in a foreign country, denominated in that foreign country’s currency — e.g. an Indian bank’s dollar-denominated account with a US bank, used to settle India–US forex transactions.
• Vostro account (“your account with us”): the mirror image of a Nostro account, viewed from the other bank’s side — an account that a foreign-based bank holds with a domestic bank, denominated in the domestic currency. The same account that is a Nostro account to the foreign bank is a Vostro account to the domestic bank holding it.
• Loro account (“their account with them”): arises when a domestic bank settles a foreign-exchange transaction by using a third-party bank’s existing Nostro account with the relevant foreign bank, rather than maintaining its own — e.g. if Canara Bank has no Nostro account with a bank in Hong Kong but Bank of Baroda does, Canara Bank can ask Bank of Baroda to collect the proceeds on its behalf, with Canara Bank’s dealings described, from Bank of Baroda’s perspective, as a Loro account.

Multinational capital budgeting applies the same basic NPV/IRR framework used for domestic projects to investment projects located in a foreign country, but with several additional complications that purely domestic capital budgeting does not face:

• Parent-firm vs. project (local) cash-flow perspective: cash flows generated by the foreign project itself (the project/local perspective) can differ substantially from the cash flows that are actually remitted back to, and received by, the parent company (the parent perspective), once blocked funds, withholding taxes, exchange controls and transfer-pricing policies are taken into account. Because the ultimate objective is to maximise the wealth of the parent company’s shareholders, multinational capital budgeting is generally carried out from the parent’s perspective, even though the local/project perspective is also examined to judge the project’s standalone viability in the host country.
• Blocked funds: some host-country governments restrict the amount of cash flow that can be remitted to the parent firm (e.g. to conserve foreign exchange, or to force reinvestment locally); any funds blocked from repatriation earn a return that may well fall short of the parent’s required rate of return, reducing the project’s value from the parent’s point of view even if the local project itself looks attractive on its own.
• Exchange-rate risk: because remitted cash flows must eventually be converted back into the parent’s home currency, a project can look profitable in the local currency yet deliver a disappointing (or negative) return once converted at a depreciated exchange rate — so projected future exchange rates must be built explicitly into the cash-flow forecasts.
• Differential (host-country) taxation: foreign-sourced earnings may be taxed both by the host country and, again on repatriation, by the parent’s home country (subject to any double-taxation treaty and available tax credits), so the applicable tax rates and treaty provisions materially affect the after-tax cash flows used in the appraisal.
• Political risk: because multinational projects involve long-term investment in a foreign country, cash flows can be severely affected by political instability, adverse changes in government policy, or the risk of outright expropriation/nationalisation of the foreign subsidiary’s assets. Firms must evaluate these qualitative, country-specific risk factors and adjust either the projected cash flows (reducing them for the probability of disruption) or the discount rate (adding a political-risk premium) accordingly — political risk management is, for this reason, considered a core part of multinational capital budgeting, distinct from currency arbitrage or ordinary foreign-exchange-market hedging.
• Financing-mix and capital-structure effects: subsidised or project-specific financing offered by the host government, international agencies, or local lenders can itself add value to a project — sometimes appraised separately, in an Adjusted-Present-Value style, from the project’s purely operating cash flows.

1. Q1. Wealth maximization as a financial objective is best measured by:
   (a) Book value of total assets (b) Market price of the equity share (c) Accounting profit for the year (d) Earnings per share alone

   Answer: (b). Wealth maximization is reflected in the market price of the equity share, since it captures the present value of all expected future cash flows discounted for risk and time, unlike accounting profit which ignores both.

2. Q2. Which of the following is NOT one of the three core finance functions?
   (a) Investment decision (b) Financing decision (c) Dividend decision (d) Production decision

   Answer: (d). The three core finance functions are investment, financing and dividend decisions; the production decision is an operating/manufacturing function, not a finance function.

3. Q3. The agency problem in financial management primarily arises due to:
   (a) Conflict between two lenders only (b) Separation of ownership and management (c) Excess retained earnings (d) A high dividend payout ratio

   Answer: (b). When ownership (shareholders) is separated from management (agents who run the company), managers may act in their own interest rather than maximizing shareholder wealth — this is the classic agency problem.

4. Q4. Which of the following is a hybrid source of long-term finance?
   (a) Equity shares (b) Preference shares (c) A term loan (d) Trade credit

   Answer: (b). Preference shares carry features of both equity (ownership, residual claim) and debt (fixed dividend rate), making them a hybrid instrument.

5. Q5. A Global Depository Receipt (GDR) is primarily used by a company to raise:
   (a) Short-term working capital (b) Foreign-currency equity capital from international investors (c) Domestic term loans (d) Trade credit from suppliers

   Answer: (b). A GDR is a negotiable instrument issued by a depository bank representing shares of a foreign company, allowing the issuer to raise equity capital in international markets without directly listing shares abroad.

6. Q6. Venture capital financing is typically provided to:
   (a) Well-established, blue-chip companies (b) High-risk, high-growth-potential new ventures (c) Government undertakings only (d) Firms seeking only secured debt

   Answer: (b). Venture capitalists invest equity or quasi-equity in early-stage, high-risk, high-growth businesses in exchange for an ownership stake, accepting higher risk for the potential of high returns.

7. Q7. In a finance lease, the risks and rewards incidental to ownership are:
   (a) Retained entirely by the lessor (b) Substantially transferred to the lessee (c) Shared permanently and equally (d) Transferred to an unrelated third party

   Answer: (b). A finance lease transfers substantially all the risks and rewards incidental to ownership to the lessee, even though legal title may remain with the lessor — this distinguishes it from an operating lease.

8. Q8. A sale-and-leaseback arrangement allows a firm to:
   (a) Raise fresh long-term equity capital (b) Sell an asset it owns and continue using it by leasing it back (c) Avoid paying any lease rentals whatsoever (d) Transfer ownership permanently with no further use of the asset

   Answer: (b). Under sale-and-leaseback, a firm sells an asset it already owns to a leasing company and simultaneously leases it back, unlocking the cash tied up in the asset while retaining uninterrupted use of it.

9. Q9. Factoring as a source of finance primarily helps a firm to:
   (a) Convert its trade receivables into immediate cash (b) Reduce its investment in fixed assets (c) Raise fresh long-term debt (d) Issue new equity shares

   Answer: (a). Factoring is a financial service in which a firm sells its trade receivables (book debts) to a factor at a discount, converting an inactive asset (receivables) into immediate cash rather than waiting out the credit period.

10. Q10. Which of the following is an off-balance-sheet source of finance?
    (a) A term loan (b) Equity share capital (c) An operating lease (d) Public deposits

    Answer: (c). Since an operating lease does not transfer the risks and rewards of ownership, the leased asset and the corresponding liability are not shown on the lessee’s balance sheet — unlike a finance lease, which is capitalized.

1. Q1. The cost of retained earnings is best described as:
   (a) Zero, since no cash is actually paid out (b) The opportunity cost of the return shareholders forgo by not receiving that amount as dividend (c) Always equal to the cost of debt (d) The face value of the equity share

   Answer: (b). Even though retaining earnings involves no explicit cash payment, it has an implicit opportunity cost: the return shareholders could have earned by investing the dividend elsewhere, so retained earnings are not a free source of finance.

2. Q2. Under the dividend-growth (Gordon) approach to estimating the cost of equity, Ke equals:
   (a) Risk-free rate plus beta times the market return (b) Expected dividend yield plus the expected constant growth rate in dividends (c) Face value divided by market price (d) Interest rate adjusted only for tax

   Answer: (b). The Gordon growth model states Ke = D1/P0 + g — the cost of equity equals the expected dividend yield plus the expected constant growth rate in dividends.

3. Q3. Under CAPM, the cost of equity is calculated as:
   (a) Ke = Rf + β(Rm) (b) Ke = Rf + β(Rm − Rf) (c) Ke = Rm − β(Rf) (d) Ke = β × Rf × Rm

   Answer: (b). The Capital Asset Pricing Model states the cost/required return on equity equals the risk-free rate plus the stock’s beta multiplied by the market risk premium (Rm − Rf).

4. Q4. The after-tax cost of debt, compared to its before-tax cost, is:
   (a) Always higher, since lenders demand a premium (b) Always lower, because interest is a tax-deductible expense (c) Exactly equal in all cases (d) Unrelated to the corporate tax rate

   Answer: (b). Since interest on debt is tax-deductible, the effective (after-tax) cost of debt = before-tax cost × (1 − tax rate), which is always lower than the before-tax cost whenever the tax rate is positive.

5. Q5. The Weighted Average Cost of Capital (WACC) is calculated by:
   (a) Taking a simple average of the cost of each source of capital (b) Weighting each source’s specific cost by its proportion in the capital structure (c) Using only the after-tax cost of debt (d) Using only the cost of equity

   Answer: (b). WACC weights the specific cost of each source of capital (equity, preference, debt, retained earnings) by its proportion in the firm’s total capital structure, reflecting the blended cost of financing the firm’s assets.

6. Q6. The marginal cost of capital refers to:
   (a) The average cost of all capital raised in the past (b) The cost of raising one additional unit of new funds (c) The cost of equity capital alone (d) The historical book cost of existing capital

   Answer: (b). The marginal cost of capital is the cost of raising one additional unit of new funds, and is the relevant cost for evaluating new investment decisions, unlike the average cost of funds already raised.

7. Q7. The optimal capital budget of a firm is found at the point where:
   (a) WACC is at its minimum value (b) The investment opportunity schedule intersects the marginal cost of capital curve (c) Debt exactly equals equity in the capital structure (d) Earnings per share is maximized

   Answer: (b). The optimal capital budget occurs where the firm’s investment opportunity schedule (projects ranked by IRR) intersects the marginal cost of capital curve — investing beyond this point would cost more than the return earned.

8. Q8. The present value of a perpetuity paying Rs. 600 annually, discounted at 12%, is:
   (a) Rs. 600 (b) Rs. 5,000 (c) Rs. 7,200 (d) Rs. 50,000

   Answer: (b). PV of a perpetuity = Annual cash flow ÷ discount rate = 600 ÷ 0.12 = Rs. 5,000.

9. Q9. The “Rule of 72” is a quick way to approximate:
   (a) The cost of equity of a firm (b) The number of years required for a sum to double under discrete compound interest (c) A firm’s weighted average cost of capital (d) The payback period of a project

   Answer: (b). Dividing 72 by the annual compound interest rate gives an approximate number of years required for an investment to double in value under discrete compounding (the continuous-compounding equivalent is the Rule of 69).

10. Q10. Flotation (issue) costs on a fresh issue of equity shares, compared with retained earnings, generally:
    (a) Raise the effective cost of the new equity above the cost of retained earnings (b) Lower the cost of the new equity below the cost of retained earnings (c) Have no bearing on the cost of capital at all (d) Apply only when debt is issued

    Answer: (a). Flotation costs reduce the net proceeds a company actually receives from a new equity issue, which raises the effective cost of new equity above the cost of retained earnings, where no such cost is incurred.

1. Q1. According to the Net Income (NI) approach, as the degree of financial leverage increases, the value of the firm:
   (a) Decreases steadily (b) Remains unaffected (c) Increases, because WACC falls as cheaper debt is used (d) Depends solely on the dividend payout

   Answer: (c). Under the NI approach, since debt is assumed cheaper than equity and both costs are assumed constant regardless of leverage, increasing debt lowers WACC and thereby raises the value of the firm.

2. Q2. According to the Net Operating Income (NOI) approach, the firm’s overall cost of capital (WACC):
   (a) Falls continuously as leverage rises (b) Remains constant at every degree of leverage (c) Rises continuously as leverage rises (d) Equals the cost of debt alone

   Answer: (b). The NOI approach holds that WACC remains constant at all degrees of leverage, because any benefit of using cheaper debt is exactly offset by a rise in the cost of equity caused by higher financial risk.

3. Q3. The Traditional approach to capital structure holds that the value of a firm:
   (a) Is independent of its capital structure (b) Rises continuously however much debt is added (c) First rises, reaches an optimum, then falls as leverage becomes excessive (d) Is unaffected by the cost of debt used

   Answer: (c). The Traditional approach proposes an optimal capital structure: moderate debt lowers WACC and raises value, but beyond a point the rising financial risk pushes WACC back up, reducing firm value.

4. Q4. Modigliani-Miller’s Proposition I (without taxes) states that the value of a levered firm:
   (a) Depends heavily on its debt-equity mix (b) Equals the value of an identical unlevered firm, depending only on operating earnings (c) Is always greater than an identical unlevered firm (d) Is always lower than an identical unlevered firm

   Answer: (b). In a no-tax, perfect-market world, MM’s Proposition I holds that total firm value is independent of capital structure, since investors can replicate any leverage through personal (homemade) borrowing or lending.

5. Q5. Under MM’s hypothesis, the mechanism that forces levered and unlevered firm values to equalize is:
   (a) Hedging (b) Netting (c) Arbitrage (d) Factoring

   Answer: (c). If a levered firm’s value diverges from an otherwise identical unlevered firm’s value, investors engage in arbitrage — buying the undervalued firm and selling the overvalued one using personal leverage — until values equalize.

6. Q6. Once corporate taxes are introduced, MM’s theory predicts the value of a levered firm equals:
   (a) The unlevered firm’s value, unchanged (b) The unlevered firm’s value plus the present value of the interest tax shield (c) The unlevered firm’s value minus all its debt (d) Zero, regardless of operating earnings

   Answer: (b). With taxes, interest becomes tax-deductible, creating a tax shield; MM showed levered value = unlevered value + PV of the interest tax shield, so value rises with more debt (ignoring distress costs).

7. Q7. The static trade-off theory suggests a firm borrows up to the point where:
   (a) Debt exactly equals equity (b) The marginal tax benefit of extra debt equals the marginal cost of expected financial distress (c) The cost of equity falls to zero (d) It has exhausted all legally available debt capacity

   Answer: (b). The trade-off theory balances the tax advantage of debt against the rising probability and cost of financial distress as leverage increases, settling where the two marginal effects offset each other.

8. Q8. According to the pecking order theory, firms prefer to finance new investment, in order, using:
   (a) New equity, then debt, then retained earnings (b) Retained earnings, then debt, then new equity as a last resort (c) Debt, then new equity, then retained earnings (d) Only fresh equity at every stage

   Answer: (b). Because of information asymmetry, firms prefer internal financing (retained earnings) first, then safer debt, and resort to new equity last, since an equity issue is often read by the market as a negative signal.

9. Q9. The signalling theory of capital structure rests on the idea that:
   (a) All investors have perfect, equal information about the firm (b) Managers have more information about the firm’s prospects than outside investors (c) Dividends and financing choices never convey any information (d) Lenders and shareholders always agree on firm value

   Answer: (b). Because managers know more about a firm’s true prospects than outside investors, financing choices (such as issuing debt instead of equity) convey information to the market about management’s view of the firm’s future.

10. Q10. A firm’s “target” capital structure refers to:
    (a) A structure mandated by the government for every firm (b) The debt-equity mix management aims for over time to minimize WACC and maximize firm value (c) The firm’s capital structure five years ago (d) The capital structure of its largest competitor

    Answer: (b). The target capital structure is the debt-equity combination management believes minimizes WACC and maximizes firm value, toward which incremental financing decisions are directed even as actual leverage fluctuates short-term.

1. Q1. Operating leverage arises mainly because of the existence of:
   (a) Fixed financial charges such as interest (b) Fixed operating costs in the firm’s cost structure (c) Purely variable costs (d) Preference dividend obligations

   Answer: (b). Operating leverage measures the extent to which fixed (as opposed to variable) operating costs are used; a higher share of fixed costs magnifies the effect of a change in sales on operating profit (EBIT).

2. Q2. The degree of operating leverage (DOL) is calculated as:
   (a) EBIT ÷ EBT (b) Contribution ÷ EBIT (c) EBIT ÷ Sales (d) Contribution ÷ Sales

   Answer: (b). DOL = Contribution ÷ EBIT, measuring the percentage change in EBIT that results from a given percentage change in sales.

3. Q3. Financial leverage arises because of the existence of:
   (a) Fixed operating costs (b) Fixed financing charges such as interest and preference dividend (c) Purely variable selling costs (d) Depreciation alone

   Answer: (b). Financial leverage measures the impact of fixed-charge financing (interest, preference dividend) on EPS; more fixed-charge capital magnifies the swing in EPS for a given change in EBIT.

4. Q4. The degree of financial leverage (DFL) is calculated as:
   (a) EBIT ÷ EBT (b) Contribution ÷ EBIT (c) Sales ÷ EBIT (d) EBT ÷ EBIT

   Answer: (a). DFL = EBIT ÷ EBT (earnings before tax), showing the percentage change in EPS that results from a given percentage change in EBIT.

5. Q5. Combined (composite) leverage is calculated as:
   (a) Degree of Operating Leverage × Degree of Financial Leverage (b) Degree of Operating Leverage + Degree of Financial Leverage (c) Contribution ÷ Sales (d) EBIT ÷ Total Assets

   Answer: (a). DCL = DOL × DFL = Contribution ÷ EBT, capturing the combined sensitivity of EPS to a change in sales from both operating and financial sources of risk.

6. Q6. The EBIT-EPS indifference point is the level of EBIT at which:
   (a) EPS is zero under every financing plan (b) Two or more alternative financing plans produce the same EPS (c) Operating leverage exactly equals financial leverage (d) The firm has no fixed operating costs

   Answer: (b). The indifference point is the EBIT level at which two different financing plans (say, all-equity versus debt-equity) yield identical EPS; beyond it, the plan with more fixed-charge capital gives the higher EPS.

7. Q7. Beyond the EBIT-EPS indifference point, a firm’s shareholders are generally better served by financing with:
   (a) More equity, since it carries no fixed obligation (b) More debt, since financial leverage then magnifies EPS favourably (c) Neither debt nor equity (d) Preference shares only, irrespective of their cost

   Answer: (b). Once EBIT exceeds the indifference level, the leverage from fixed-charge financing (debt) boosts EPS more than an all-equity structure would, making debt financing more attractive for shareholders beyond that point.

8. Q8. Business risk is primarily associated with:
   (a) A firm’s financing/capital-structure mix (b) Variability in a firm’s operating income (EBIT) arising from the nature of its operations (c) The firm’s dividend payout ratio (d) The firm’s effective tax rate

   Answer: (b). Business risk refers to the inherent variability in operating earnings (EBIT) caused by demand fluctuations, cost structure and industry conditions, independent of how the firm is financed.

9. Q9. Financial risk, as distinct from business risk, arises specifically from:
   (a) Variability in sales revenue (b) The firm’s use of fixed-charge financing such as debt and preference capital (c) Changes in raw-material prices (d) The length of the operating cycle

   Answer: (b). Financial risk is the additional variability imposed on equity earnings because the firm uses fixed-charge sources (debt, preference shares); higher financial leverage raises financial risk even if business risk is unchanged.

10. Q10. A firm already facing high operating leverage should generally use:
    (a) Equally high financial leverage, to maximize combined risk (b) Lower financial leverage, to keep the firm’s total risk manageable (c) Only short-term borrowings (d) No equity capital at all

    Answer: (b). Since high operating leverage already exposes the firm to significant business risk from fixed operating costs, sound financial policy suggests moderating financial leverage, so total (combined) risk to shareholders stays manageable.

1. Q1. The first stage of the capital budgeting process is generally:
   (a) Preparation of the capital budget (b) Identification/generation of investment proposals (c) Performance review of past projects (d) Fixing the discount rate

   Answer: (b). The process begins with identifying or generating potential investment opportunities, followed by screening, detailed evaluation, selection, implementation, and finally performance review.

2. Q2. Net Present Value (NPV) of a project is:
   (a) Total cash inflows minus initial investment, undiscounted (b) Present value of cash inflows minus present value of cash outflows (c) Average annual profit divided by average investment (d) Initial investment divided by annual cash inflow

   Answer: (b). NPV equals the present value of all expected cash inflows, discounted at the required rate of return, minus the present value of cash outflows, including the initial investment.

3. Q3. The value-additivity principle, which says the NPV of combined projects equals the sum of their individual NPVs, applies to:
   (a) The payback period method (b) The Accounting Rate of Return (c) The Net Present Value method (d) None of the standard appraisal techniques

   Answer: (c). Value additivity is a property of NPV: the NPV of a portfolio of projects equals the sum of each project’s individual NPV, a property that does not generally hold for IRR.

4. Q4. The Internal Rate of Return (IRR) of a project is the discount rate at which:
   (a) NPV is at its maximum (b) NPV equals zero (c) The payback period equals the project’s life (d) ARR equals the cost of capital

   Answer: (b). IRR is the discount rate that makes the present value of a project’s cash inflows exactly equal to the present value of its cash outflows, i.e., the rate at which NPV = 0.

5. Q5. The Accounting Rate of Return (ARR) method is based on:
   (a) Discounted cash flows (b) Accounting profits, and it ignores the time value of money (c) IRR adjusted for project risk (d) The project’s market value

   Answer: (b). ARR = Average annual accounting profit after tax ÷ Average investment; because it uses undiscounted accounting profits rather than cash flows, it ignores the time value of money, unlike NPV, IRR or PI.

6. Q6. A conflict between the NPV and IRR rankings of two mutually exclusive projects is most likely when the projects differ in:
   (a) Nothing — NPV and IRR always agree for mutually exclusive projects (b) The scale of investment, project life, or the pattern/timing of cash flows (c) Only their names (d) Their accounting depreciation method alone

   Answer: (b). NPV and IRR can rank mutually exclusive projects differently when they differ in investment size, life, or cash-flow timing/pattern, largely because the two methods make conflicting implicit reinvestment-rate assumptions.

7. Q7. The Modified Internal Rate of Return (MIRR) was developed mainly to address:
   (a) The unrealistic assumption that cash flows are reinvested at the project’s own IRR, and the problem of multiple IRRs (b) The problem of ignoring salvage value (c) The difficulty of calculating the payback period (d) The problem of estimating sales volume

   Answer: (a). Ordinary IRR implicitly assumes interim cash flows are reinvested at the project’s own IRR (often unrealistic) and can yield multiple solutions for non-conventional cash flows; MIRR instead assumes a more realistic reinvestment rate, giving one reliable figure.

8. Q8. The payback period method is especially useful to a firm that:
   (a) Operates in a very stable, low-risk environment with surplus funds (b) Faces high uncertainty and wants to emphasize quick recovery of invested funds and liquidity (c) Wants a precise measure of shareholder wealth creation (d) Has an unlimited investment time horizon

   Answer: (b). Despite ignoring the time value of money and cash flows beyond payback, the method is favoured under uncertainty or by liquidity-constrained/overleveraged firms, since it stresses how quickly the original investment is recovered.

9. Q9. Capital rationing describes a situation where a firm:
   (a) Has unlimited funds for every profitable project (b) Has limited investible funds and must select among competing positive-NPV projects (c) Rejects every project with a positive NPV (d) Invests exclusively in government securities

   Answer: (b). Capital rationing arises when a firm’s available funds are limited, forcing it to choose the most value-adding combination of projects instead of accepting every project with a positive NPV.

10. Q10. The Profitability Index (PI) of a project is computed as:
    (a) NPV divided by the initial investment (b) Present value of cash inflows divided by present value of cash outflows (c) Average income divided by average investment (d) Initial investment divided by annual cash inflow

    Answer: (b). PI (benefit-cost ratio) = PV of cash inflows ÷ PV of cash outflows; a PI above 1 signals a positive-NPV project, and PI is particularly useful for ranking projects under capital rationing.

1. Q1. Gross working capital refers to:
   (a) Current assets minus current liabilities (b) The firm’s total investment in current assets (c) Fixed assets net of depreciation (d) Shareholders’ funds alone

   Answer: (b). Gross working capital is simply a firm’s total investment in current assets (cash, inventory, receivables, etc.); net working capital, by contrast, is current assets minus current liabilities.

2. Q2. The operating cycle of a typical manufacturing firm begins with:
   (a) Sale of finished goods (b) Collection of receivables (c) Acquisition/purchase of raw materials (d) Payment to creditors

   Answer: (c). The operating cycle runs from acquiring raw materials, through work-in-progress and finished goods, to the sale of goods and eventual collection of receivables — cash back to cash.

3. Q3. Which of the following is NOT typically a determinant of a firm’s working capital requirement?
   (a) Nature of the business (b) Credit policy followed (c) Length of the operating cycle (d) The firm’s long-term debt-equity mix

   Answer: (d). Working capital needs are mainly driven by operating factors — nature of business, operating cycle length, credit policy, seasonality — rather than by the firm’s long-term financing (debt-equity) mix, which is a separate financing decision.

4. Q4. Under the matching (hedging) approach to working capital financing, permanent current assets should be financed using:
   (a) Short-term sources only (b) Long-term sources (c) Equity capital exclusively (d) Trade credit exclusively

   Answer: (b). The matching approach aligns the maturity of financing with the maturity of assets: permanent (fixed minimum) working capital is financed from long-term sources, while temporary/fluctuating working capital uses short-term sources.

5. Q5. Under the aggressive approach to working capital financing, a firm:
   (a) Finances all current assets entirely from long-term sources (b) Finances even a part of its permanent working capital using short-term sources (c) Avoids all use of short-term funds (d) Keeps substantial long-term funds idle

   Answer: (b). The aggressive approach is riskier than matching: the firm uses short-term financing even for part of its permanent working capital, lowering financing cost but increasing refinancing and liquidity risk.

6. Q6. The Economic Order Quantity (EOQ) model seeks to minimize the total of:
   (a) Only the inventory ordering cost (b) Only the inventory carrying cost (c) Both ordering cost and carrying cost of inventory together (d) The purchase price of the material alone

   Answer: (c). EOQ determines the order size that minimizes the sum of ordering costs (which fall as order size rises) and carrying costs (which rise as order size rises), balancing these two opposing cost trends.

7. Q7. Baumol’s model of cash management applies the logic of:
   (a) The EOQ model of inventory management, treating cash as an inventory item (b) The CAPM model of risk and return (c) The dividend growth model (d) The payback period method

   Answer: (a). Baumol applied EOQ logic to cash: it finds the optimal cash balance that minimizes the sum of the opportunity cost of holding cash and the transaction cost of converting marketable securities into cash.

8. Q8. Which of the following is an assumption underlying Baumol’s cash management model?
   (a) Cash payments occur unevenly and unpredictably (b) The firm can forecast its cash needs with certainty, and cash is used uniformly over time (c) The opportunity cost of holding cash is unknown (d) Transaction costs vary with every conversion made

   Answer: (b). Baumol’s model assumes the firm can forecast its cash requirements with certainty, that cash outflow is uniform over time, that the opportunity cost of holding cash is known, and that the per-conversion transaction cost is constant.

9. Q9. A firm’s credit policy typically covers all of the following EXCEPT:
   (a) Credit standards for customers (b) Credit terms, including the credit period and any cash discount (c) Collection policy and effort for receivables (d) The firm’s long-term dividend payout ratio

   Answer: (d). Credit policy covers credit standards, credit terms and collection effort for receivables; the dividend payout ratio is a separate dividend-decision matter unrelated to how receivables are managed.

10. Q10. Under the conservative approach to working capital financing, a firm:
    (a) Finances even its temporary current assets using long-term funds, at the cost of carrying idle funds in slack periods (b) Finances everything using short-term debt (c) Avoids holding any current assets at all (d) Maintains zero liquid funds

    Answer: (a). The conservative approach uses long-term financing even for temporary working capital needs, reducing liquidity and refinancing risk at the cost of higher financing expense and idle long-term funds during low-activity periods.

1. Q1. According to Walter’s model, a firm’s dividend policy affects its share value whenever:
   (a) Its internal rate of return equals its cost of equity (b) Its internal rate of return (r) differs from its cost of equity capital (Ke) (c) It pays no dividend at all (d) It has no retained earnings to distribute

   Answer: (b). Walter argues dividend policy is relevant whenever a firm’s return on retained earnings (r) differs from its cost of equity (Ke); only when r = Ke does the payout ratio leave share value unaffected.

2. Q2. According to Walter’s model, for a growth firm where r > Ke, the value-maximizing dividend payout ratio is:
   (a) 100% (b) Zero (c) Exactly 50% (d) Equal to the firm’s effective tax rate

   Answer: (b). For a growth firm, since retained earnings can be reinvested at a return higher than shareholders could earn elsewhere (Ke), share value is maximized by retaining all earnings — i.e., a 0% payout.

3. Q3. Under Gordon’s dividend-capitalization model, the growth rate (g) is calculated as:
   (a) The retention ratio multiplied by the return on equity (b) Dividend yield minus payout ratio (c) Cost of equity minus dividend yield (d) Payout ratio divided by retention ratio

   Answer: (a). Gordon’s model uses g = b × r, where b is the retention ratio and r is the firm’s return on investment; this growth rate feeds into the valuation formula P0 = E1(1 − b) / (Ke − br).

4. Q4. Which of the following is an assumption of Gordon’s dividend model?
   (a) The firm has a limited, finite life (b) The firm is wholly equity-financed, with Ke constant and greater than g (c) The cost of equity is always less than the growth rate (d) The retention ratio changes every year

   Answer: (b). Gordon’s model assumes an all-equity firm with a perpetual life, a constant cost of equity (Ke) that exceeds the growth rate (g), and a constant retention ratio once decided.

5. Q5. Modigliani and Miller’s dividend-irrelevance theory holds that, in a perfect capital market, firm value is determined by:
   (a) The dividend payout ratio alone (b) The earning power of its assets/investment policy, not by the dividend-retention split (c) The exact timing of dividend payments only (d) The firm’s debt-equity ratio alone

   Answer: (b). MM’s theory holds that, given a fixed investment policy, value depends only on the earning power of assets, not on how earnings are split between dividends and retained earnings, since any dividend shortfall can be costlessly offset by issuing new shares.

6. Q6. The “bird-in-hand” argument, associated with Myron Gordon and John Lintner, holds that investors:
   (a) Are indifferent between dividends and capital gains (b) Prefer current dividends to uncertain future capital gains, because near dividends are less risky (c) Prefer a firm that pays no dividend at all (d) Value only accounting earnings, never cash flows

   Answer: (b). The bird-in-hand view holds that investors discount distant, uncertain capital gains more heavily than near-certain current dividends, so a higher current payout is seen as increasing (not merely preserving) share value.

7. Q7. The residual theory of dividends holds that a firm should pay dividends:
   (a) As a fixed percentage of sales every year (b) Only out of whatever earnings remain after funding all acceptable (positive-NPV) investments (c) Before meeting any investment requirements (d) Only during years of financial distress

   Answer: (b). Under the residual approach, dividend is a residual decision: the firm first funds every acceptable investment proposal from retained earnings, and distributes only the leftover amount as dividend.

8. Q8. Lintner’s model of corporate dividend behaviour suggests that firms:
   (a) Set a long-run target payout ratio but adjust toward it only gradually each year (b) Change dividends completely randomly from year to year (c) Base dividends solely on the current stock price (d) Set dividends purely by the statutory tax rate

   Answer: (a). Lintner found firms set a long-term target payout ratio but move toward it only partially each year (using an adjustment-rate factor), which smooths dividend changes rather than letting them track volatile earnings abruptly.

9. Q9. The dividend signalling hypothesis suggests that an unexpected rise in dividends is usually read by the market as a signal that:
   (a) The firm is facing a cash shortage (b) Management is confident about the firm’s future earnings prospects (c) The firm plans to stop investing altogether (d) Management wants to depress the share price

   Answer: (b). Because managers know more about a firm’s prospects than outside investors, an unexpected dividend increase is generally interpreted as a positive signal that management expects sustainably higher future earnings.

10. Q10. A stable dividend policy is generally preferred because it:
    (a) Removes any need for retained earnings (b) Reduces investor uncertainty and can positively affect the share’s market price (c) Is mandatory under company law in every case (d) Eliminates the need for investment appraisal

    Answer: (b). A stable, predictable dividend stream reduces uncertainty for shareholders (particularly income-dependent investors) and is often associated with a favourable effect on the market price, compared to an erratic payout of the same average amount.

1. Q1. Systematic risk refers to risk that:
   (a) Can be eliminated entirely through diversification (b) Is market-wide and cannot be diversified away (c) Arises purely from one firm’s own management decisions (d) Is zero for any well-diversified portfolio

   Answer: (b). Systematic (market) risk stems from economy-wide factors — interest rates, inflation, recessions — that affect all securities and cannot be eliminated through diversification, unlike firm-specific (unsystematic) risk.

2. Q2. Portfolio diversification is primarily effective in reducing:
   (a) Systematic risk (b) Unsystematic (firm-specific) risk (c) Both systematic and unsystematic risk equally (d) Only interest-rate risk

   Answer: (b). Combining securities whose firm-specific risks are not perfectly correlated cancels out unsystematic risk; systematic risk, being common to the whole market, cannot be reduced by adding more securities.

3. Q3. Beta (β), in the context of CAPM, measures:
   (a) The total risk of a security (b) The sensitivity of a security’s return to movements in the overall market (systematic risk) (c) A firm’s debt-equity ratio (d) A firm’s dividend payout ratio

   Answer: (b). Beta measures how sensitive a security’s returns are to movements in the market portfolio; a beta above 1 indicates greater volatility than the market, and below 1 indicates lower volatility.

4. Q4. The Coefficient of Variation is a measure of:
   (a) Absolute risk only (b) Relative risk, computed as standard deviation divided by expected (mean) return (c) The risk-free rate (d) Total portfolio value

   Answer: (b). Coefficient of Variation = Standard Deviation ÷ Expected Return, allowing comparison of risk per unit of return across investments with different expected returns, unlike standard deviation alone.

5. Q5. Arbitrage Pricing Theory (APT), unlike CAPM, explains a security’s expected return using:
   (a) A single market factor only (b) Multiple macroeconomic/systematic risk factors (c) No risk factor at all (d) Only firm-specific accounting ratios

   Answer: (b). APT is a multi-factor model explaining expected return as a function of a security’s sensitivity to several macroeconomic factors (inflation, interest rates, industrial output), rather than the single market-beta factor used in CAPM.

6. Q6. Default risk specifically refers to the risk that:
   (a) A security’s price falls because of an overall market decline (b) A borrower fails to pay interest and/or principal on time (c) An investor cannot easily convert a security into cash (d) Exchange rates move adversely

   Answer: (b). Default (credit) risk refers specifically to the possibility that a borrower fails to make timely interest or principal payments, distinct from liquidity risk (cash conversion) or market/sovereign risk.

7. Q7. Securitization primarily involves:
   (a) A firm issuing fresh equity shares to the public (b) Pooling illiquid financial assets, such as loan receivables, and converting them into marketable securities (c) A firm buying back its own outstanding shares (d) A government auctioning treasury bills

   Answer: (b). Securitization pools homogeneous, relatively illiquid financial assets (such as housing loans) and repackages them into tradeable securities, typically issued through a Special Purpose Vehicle (SPV) and sold to investors.

8. Q8. In the securitization process, the Special Purpose Vehicle (SPV) is primarily used to:
   (a) Collect taxes on behalf of the government (b) Acquire the pooled assets from the originator and issue securities backed by them (c) Provide working-capital loans to the originator (d) Act as a stock exchange for the issued securities

   Answer: (b). The SPV is a legally distinct entity created to purchase the asset pool from the originator and issue asset-backed securities against it, isolating the pool from the originator’s own balance-sheet risk.

9. Q9. A “self-liquidating” securitization structure is one in which:
   (a) New assets are continuously added to replace matured ones (b) No new assets are acquired, and the collateral pool is fixed for the life of the securities (c) The SPV is dissolved before any securities are issued (d) The originator retains full legal ownership of the pooled assets

   Answer: (b). In a self-liquidating (amortizing) structure the collateral pool is fixed at issuance; as the underlying assets are repaid, the outstanding securities are paid down correspondingly, unlike a revolving structure that replaces matured receivables with new ones.

10. Q10. Which of the following best illustrates securitization in practice?
    (a) A bank issues fresh shares on a stock exchange (b) A bank pools a set of housing loans and issues pass-through certificates backed by them (c) A company declares a cash dividend to shareholders (d) A firm takes a short-term bridge loan from its banker

    Answer: (b). Converting a pool of housing loans into tradeable pass-through certificates sold to investors is the textbook example of securitization, letting the originating bank free up capital and transfer the pool’s credit risk to investors.

1. Q1. The historical evolution of the international monetary system proceeded in which order?
   (a) Bretton Woods, Gold Specie Standard, Floating Rate System (b) Gold Specie Standard, Gold Bullion/Exchange Standard, Bretton Woods System, Floating Rate System (c) Floating Rate System, Gold Standard, Bretton Woods System (d) Bretton Woods System, Floating Rate System, Gold Standard

   Answer: (b). The system evolved from the Gold Specie Standard, to the Gold Bullion/Exchange Standard, to the fixed-but-adjustable Bretton Woods System (1944-1971), and finally to the present Floating Exchange Rate System after 1973.

2. Q2. The “trilemma” (impossible trinity) of international finance holds that a country cannot simultaneously maintain:
   (a) High growth, low inflation and low unemployment together (b) A fixed exchange rate, free capital mobility and an independent monetary policy, all at once (c) A fiscal surplus, a trade surplus and low taxes together (d) High exports, high imports and a fixed interest rate

   Answer: (b). The trilemma states a country can achieve at most two of the three goals — a fixed exchange rate, free capital mobility, and an independent monetary policy — but not all three simultaneously.

3. Q3. Purchasing Power Parity (PPP) theory explains exchange rate movements between two currencies mainly through differences in their:
   (a) Interest rates (b) Inflation rates (c) Trade union density (d) Fiscal deficits alone

   Answer: (b). PPP theory holds that the exchange rate between two currencies adjusts to reflect the differential in their inflation (price-level) rates, equalizing purchasing power across countries over time.

4. Q4. The Fisher (Irving Fisher) effect states that the nominal interest rate approximately equals:
   (a) The real interest rate minus expected inflation (b) The real interest rate plus expected inflation (c) Twice the real interest rate (d) The exchange rate differential alone

   Answer: (b). Fisher’s equation states nominal interest rate ≈ real interest rate + expected inflation rate, implying nominal rates adjust to compensate lenders for the expected erosion of purchasing power.

5. Q5. A “Nostro account” refers to:
   (a) An account held by a foreign bank with a local (domestic) bank (b) A domestic bank’s foreign-currency account held with a bank abroad (c) A government’s tax collection account (d) A company’s fixed-deposit account

   Answer: (b). A Nostro (“our”) account is a domestic bank’s foreign-currency account held with a correspondent bank abroad; the mirror-image account from the foreign bank’s perspective is called a Vostro (“your”) account.

6. Q6. Transaction exposure specifically refers to the risk arising from:
   (a) Translating a foreign subsidiary’s financial statements into the parent’s reporting currency (b) Exchange rate changes affecting a specific, already-contracted foreign-currency cash flow (c) Long-term, uncommitted changes in future competitiveness (d) Changes in a country’s GDP growth rate

   Answer: (b). Transaction exposure arises from exchange-rate movements affecting the settlement value of a specific, already-contracted foreign-currency receivable or payable, distinct from translation (accounting) or operating/economic exposure.

7. Q7. Translation exposure arises when:
   (a) A firm converts spot currency holdings into forward currency (b) A multinational restates a foreign subsidiary’s foreign-currency financial statements into its home reporting currency (c) A firm executes a currency swap (d) Domestic interest rates change

   Answer: (b). Translation (accounting) exposure results purely from consolidating a foreign subsidiary’s financial statements, stated in a foreign currency, into the parent’s home-currency statements, and need not involve any actual cash flow.

8. Q8. “Netting,” as a technique of managing foreign exchange exposure, is best described as:
   (a) An external hedge arranged through a bank using forward contracts (b) An internal technique where a firm offsets its foreign-currency receivables against payables to reduce the net exposure requiring cover (c) Direct intervention by a government in the forex market (d) A method used to translate financial statements

   Answer: (b). Netting is an internal (non-market) technique: a multinational consolidates intra-group foreign-currency receivables and payables and hedges only the resulting net exposure, cutting transaction costs compared with covering every flow separately.

9. Q9. “Leading and lagging” as a hedging technique involves:
   (a) Always collecting and paying foreign-currency amounts exactly on their due date (b) Deliberately accelerating (leading) or delaying (lagging) receipts and payments based on expected currency movements (c) Buying only domestic-currency government bonds (d) Converting all foreign-currency holdings into gold

   Answer: (b). Leading means collecting a receivable or paying a payable earlier than due, while lagging delays it; firms use this timing technique when a currency is expected to appreciate or depreciate, to benefit from or avoid the movement.

10. Q10. A “natural hedge” against foreign exchange exposure exists when a firm:
    (a) Takes no action at all regarding its exposure (b) Has foreign-currency assets/liabilities, or revenues/costs, matched in amount and timing so they offset without using any financial instrument (c) Buys a forward contract from its bank (d) Purchases a currency option

    Answer: (b). A natural hedge arises operationally, with no derivative instrument, when a firm’s foreign-currency inflows and outflows are matched in currency, amount and timing, so exchange-rate movements affect both sides similarly and largely cancel out.

1. Q1. A “Yankee bond” is best described as a bond:
   (a) Issued in Japan and denominated in yen (b) Denominated in US dollars and issued in the United States by a foreign borrower (c) Issued simultaneously in several countries in one currency (d) Issued exclusively by the US government

   Answer: (b). A Yankee bond is issued in the United States, denominated in US dollars, by a foreign (non-US) borrower; the yen-denominated equivalent issued in Japan is called a Samurai bond.

2. Q2. A “Global bond” is characterized by being:
   (a) Issued and traded only within a single domestic market (b) Denominated in one currency but offered for simultaneous placement and trading across several national and Euro-markets (c) Denominated only in gold (d) Issued exclusively for use within multinational banks

   Answer: (b). A global bond is structured for simultaneous issuance and trading across multiple markets (domestic and international) in a single currency, giving the issuer access to a far wider pool of investors than a single national market offers.

3. Q3. The Euro-currency market is characterized by:
   (a) Heavy regulation and mandatory reserve requirements similar to domestic banking (b) Being largely unregulated, with no CRR/SLR-type restrictions and no geographical limits tied to the currency’s home country (c) Trading exclusively in the Euro, Europe’s common currency (d) Being confined strictly to government-to-government transactions

   Answer: (b). The “Euro” in Euro-currency does not refer to the European currency — it means any currency held and traded outside its country of origin; this market is largely unregulated and carries no CRR/SLR-type reserve requirements.

4. Q4. Cross-listing a company’s shares on a foreign stock exchange is expected to potentially:
   (a) Shrink the company’s investor base (b) Raise the stock price and lower the cost of capital by widening the shareholder base and improving liquidity (c) Leave the firm’s cost of capital completely unaffected (d) Automatically remove all foreign exchange risk

   Answer: (b). Cross-listing can expand a firm’s investor base, improve share liquidity and increase visibility, potentially lowering its cost of capital as a wider, more diversified investor base accepts a lower risk premium.

5. Q5. Covered interest arbitrage involves an investor:
   (a) Borrowing and investing in the same currency with no currency hedge at all (b) Exploiting an interest-rate differential between two countries while using a forward contract to eliminate the exchange-rate risk (c) Buying and selling an identical security at an identical price in the same market (d) Avoiding every foreign-currency transaction

   Answer: (b). Covered interest arbitrage exploits interest-rate differentials between countries by investing in the higher-yielding currency, while simultaneously locking in the forward rate to eliminate currency risk on converting proceeds back — hence “covered”.

6. Q6. Triangular arbitrage in the forex market exploits:
   (a) Interest-rate differences between two countries (b) Inconsistencies among the exchange rates of three currencies that permit a riskless profit on converting through all three (c) A forward premium on a single currency pair (d) Differences in a single country’s tax rates

   Answer: (b). Triangular arbitrage converts one currency into a second, the second into a third, and the third back into the first; if the resulting cross-rate is inconsistent with the directly quoted rate, a riskless profit can be captured.

7. Q7. The first step in the international arbitrage process is to:
   (a) Pocket the profit (b) Identify a genuine price discrepancy across markets (c) Sell the asset in the overvalued market (d) Review the transaction costs involved

   Answer: (b). The arbitrage process begins by identifying a genuine price discrepancy for the same (or an equivalent) asset across markets; only afterwards are transaction costs reviewed, the asset purchased and sold, and the profit pocketed.

8. Q8. In multinational capital budgeting, “political risk” refers to the risk that:
   (a) Domestic sales will fall because of competition at home (b) Actions of a foreign host government, such as expropriation or exchange controls, adversely affect the value of a cross-border investment (c) A firm’s domestic tax rate will rise (d) A project’s payback period will exceed five years

   Answer: (b). Political risk arises from the possibility that a foreign government’s actions — expropriation, exchange controls, unfavourable regulatory or tax changes — reduce the expected cash flows or value of a cross-border project.

9. Q9. The Adjusted Present Value (APV) approach in multinational capital budgeting evaluates a project by:
   (a) Discounting all cash flows at one blended WACC and ignoring any financing side-effects (b) Separately valuing the project’s all-equity base-case cash flows, then adding the present value of financing side-effects such as a debt tax shield or subsidized loan (c) Ignoring taxes altogether (d) Relying solely on the payback period

   Answer: (b). APV splits a project’s valuation into its base-case NPV (as if entirely equity-financed) plus the present value of financing side-effects (interest tax shields, concessionary financing), extending value-additivity logic to cross-border projects.

10. Q10. Which is the correct sequence of steps in multinational capital budgeting?
    (a) Apply the evaluation technique, fix the discount rate, estimate net cash flow, determine the investment outlay (b) Determine the net investment outlay, estimate the net cash flow, determine the discount rate, apply the evaluation technique (c) Estimate net cash flow, apply the evaluation technique, determine the investment outlay, fix the discount rate (d) Fix the discount rate, determine the investment outlay, apply the evaluation technique, estimate net cash flow

    Answer: (b). The logical sequence is: determine the net investment outlay, estimate the project’s net cash flows, determine the appropriate (risk-adjusted) discount rate, and finally apply the evaluation technique to reach a decision.