27th June 2025 Shift 1
1. Question
A company produces and sells 10,000 toys. The selling price per toy is ₹500, variable cost is 200 per unit and fixed operating cost is ₹25,00,000. Calculate operating Leverage.
- 4 times
- 5 times
- 6 times
- 8 times
Solutions:
The correct answer is – 6 times
Key Points
Operating Leverage
- It measures the impact of a percentage change in sales on the operating income of a company.
- The formula to calculate operating leverage is:
Operating Leverage = Contribution ÷ Operating Profit.
Calculation:
- Contribution per unit: Selling Price per unit – Variable Cost per unit = ₹500 – ₹200 = ₹300.
- Total Contribution: Contribution per unit × Total units sold = ₹300 × 10,000 = ₹30,00,000.
- Operating Profit: Total Contribution – Fixed Costs = ₹30,00,000 – ₹25,00,000 = ₹5,00,000.
- Operating Leverage: Total Contribution ÷ Operating Profit = ₹30,00,000 ÷ ₹5,00,000 = 6 times.
Additional Information
- Importance of Operating Leverage:
- High operating leverage indicates that a company has a significant proportion of fixed costs.
- This means that a small change in sales can result in a large change in operating income.
- Limitations of Operating Leverage:
- It assumes that fixed costs remain constant, which may not always be true in real-world scenarios.
- It does not account for changes in variable costs or other operating factors.
- Applications:
- Helps businesses evaluate the impact of sales fluctuations on profitability.
- Useful for decision-making in cost structure optimization and pricing strategies.
2. Question
Which of the following are the discounted cash flow techniques of capital budgeting?
A. Payback Period
B. Accounting rate of return (ARR)
C. Net Percent Value (NPV)
D. Internal Rate of Return (IRR)
E. Profitability Index
Choose the correct answer from the options given below:
- A, C, D Only
- B, C, E Only
- C and D Only
- C, D and E Only
Solutions:
The correct answer is – C, D and E Only
Key Points
- Discounted Cash Flow (DCF) Techniques
- Discounted cash flow techniques consider the time value of money, which is critical in capital budgeting.
- These methods incorporate future cash inflows and outflows, discounted to present value.
- Examples of DCF techniques include:
- Net Present Value (NPV): Calculates the difference between the present value of cash inflows and outflows over a project’s life.
- Internal Rate of Return (IRR): Identifies the discount rate that equates the net present value of cash inflows to zero.
- Profitability Index (PI): Measures the ratio of the present value of future cash inflows to the initial investment.
- Options A (Payback Period) and B (Accounting Rate of Return) are not DCF techniques as they do not account for the time value of money.
Additional Information
- Non-Discounted Cash Flow Techniques
- Payback Period: Measures the time required to recover the initial investment. It does not consider the time value of money, making it less accurate for long-term projects.
- Accounting Rate of Return (ARR): Calculates the average accounting profit as a percentage of the initial investment. It does not use cash flows or discounting, making it a non-DCF method.
- Importance of DCF Techniques
- DCF techniques are widely used in capital budgeting because they provide more accurate and reliable evaluations of project viability.
- They help in comparing projects with different cash flow timings and amounts, ensuring better decision-making.
3. Question
Match the LIST-I with LIST-II
| LIST-I Term | LIST-II Explanation |
| A. Nostro Account | I. Account held by a foreign bank with a local bank |
| B. Vostro Account | II. An Indian Bank’s Swiss Franc A/C with a bank in Switzerland. |
| C. Bid | III. Price at which the dealer is willing to buy another currency. |
| D. Offer | IV. Price at which the dealer is willing to sell another currency. |
Choose the correct answer from the options given below:
- A-I, B-II, C-III, D-IV
- A-II, B-I, C-III, D-IV
- A-III, B-II, C-IV, D-I
- A-IV, B-III, C-I, D-II
Solutions:
The correct answer is – 2. A-II, B-I, C-III, D-IV
Key Points
- Nostro Account
- A Nostro Account is an account that a bank holds in a foreign currency in another bank.
- For example, an Indian bank’s account in Swiss Francs with a Swiss bank is considered a Nostro Account.
- Vostro Account
- A Vostro Account is the account that a foreign bank holds with a local bank in the local currency.
- It represents the foreign bank’s funds held on deposit by the local bank.
- Bid Price
- The Bid Price is the price at which a currency dealer is willing to buy another currency.
- This is typically lower than the offer price and is a key part of forex trading.
- Offer Price
- The Offer Price is the price at which a currency dealer is willing to sell another currency.
- This is higher than the bid price, and the difference is known as the spread.
Additional Information
- Forex Market
- The forex market is the largest financial market in the world, where currencies are traded globally.
- It operates 24/7, and participants include banks, governments, corporations, and individual traders.
- Currency Pair
- Forex transactions involve trading one currency for another, forming a currency pair (e.g., USD/INR).
- The first currency is the base currency, and the second is the quote currency.
- Spread
- The spread is the difference between the bid price and the offer price in forex trading.
- A smaller spread indicates higher market liquidity, while a larger spread indicates lower liquidity.
- Role of Nostro and Vostro Accounts
- These accounts help facilitate international trade and foreign exchange transactions between banks in different countries.
- They ensure smooth cross-border transactions by maintaining balances in foreign and local currencies.
4. Question
Arrange the following steps of Multinational Capital Budgeting in correct order
A. Estimate net cash flow from the project
B. Determine net investment outlay
C. Apply appropriate evaluation technique
D. Identify appropriate discount rate
Choose the correct answer from the options given below:
- A, B, C, D
- C, A, B, D
- D, C, B, A
- B, A, D, C
Solutions:
The correct answer is – Option 4: B, A, D, C
Key Points
- B, A, D, C is the correct order for multinational capital budgeting because it aligns logically with the steps required to evaluate a project.
- Step 1: Determine net investment outlay (B)
- This step involves calculating the initial costs of the project, such as setup expenses, equipment costs, and working capital requirements.
- It forms the foundation for subsequent analysis as it represents the upfront cash flow.
- Step 2: Estimate net cash flow from the project (A)
- This step focuses on forecasting future cash flows generated from the project, including revenues, operating costs, and taxes.
- It is critical to assess the profitability and sustainability of the project over its lifetime.
- Step 3: Identify appropriate discount rate (D)
- A discount rate is used to adjust future cash flows to their present value, accounting for the time value of money and risk.
- This rate is typically the cost of capital or required rate of return for the project.
- Step 4: Apply appropriate evaluation technique (C)
- This step involves using tools such as Net Present Value (NPV), Internal Rate of Return (IRR), or Payback Period to assess the project’s viability.
- It helps decision-makers determine whether the project is worth pursuing based on objective financial criteria.
Additional Information
- Multinational Capital Budgeting
- It is the process of evaluating investments or projects conducted in international markets.
- It considers factors such as exchange rate fluctuations, political risk, and tax implications specific to the host country.
- Importance of Discount Rate (D)
- The discount rate reflects the opportunity cost of capital and the risk associated with the project.
- A higher discount rate is applied for projects with greater risk, reducing the present value of future cash flows.
- Evaluation Techniques (C)
- Net Present Value (NPV): Measures the difference between the present value of cash inflows and outflows.
- Internal Rate of Return (IRR): Calculates the discount rate at which NPV becomes zero.
- Payback Period: Determines the time required to recover the initial investment.
5. Question
Arrange the following exchange rate arrangements of international monetary system in chronological order (Old to New)
A. Gold Standard
B. Commodity Specie Standard
C. Fixed parity System
D. Floating exchange Rate
Choose the correct answer from the options given below:
- A, B, C, D
- B, A, C, D
- C, B, D, A
- B, C, A, D
Solutions:
The correct answer is -2. B, A, C, D
Key Points
- Commodity Specie Standard
- This was the earliest exchange rate arrangement, where precious metals like gold and silver were used as the basis for monetary exchange.
- It relied on the intrinsic value of commodities to establish the exchange rates.
- Gold Standard
- Introduced later, this system fixed the value of a country’s currency to a specific quantity of gold.
- It ensured stability in international trade and exchange rates.
- Fixed Parity System
- Under this system, exchange rates were pegged to a fixed value against major currencies or gold.
- This system was widely adopted during the Bretton Woods era.
- Floating Exchange Rate
- The most modern system, where exchange rates are determined by market forces of supply and demand.
- It allows currencies to fluctuate freely without being fixed to a particular standard.
Additional Information
- Commodity Specie Standard
- Used in ancient economies where coins made of precious metals represented wealth.
- It required physical storage and transport of metals, which was inefficient for modern economies.
- Gold Standard Collapse
- The gold standard became unsustainable due to imbalances in gold reserves and economic shocks like the Great Depression.
- Countries transitioned to more flexible systems, such as the fixed parity system.
- Bretton Woods System
- Established in 1944, it pegged currencies to the US dollar, which was backed by gold.
- This system collapsed in the 1970s due to economic pressures and the inability to maintain fixed exchange rates.
- Floating Exchange Rate System
- Adopted widely after the Bretton Woods collapse, it allows for automatic adjustments based on economic conditions.
- This system is prevalent today, with central banks intervening occasionally to stabilize fluctuations.
6. Question
A company has 10%, 20 lakh debentures. The EBIT of the company is ₹5,00,000 and the equity capitalisation rate is 16%. Calculate overall cost of capital.
- 9.5%
- 10.8%
- 12.9%
- 14.5%
Solutions:
The correct answer is – Option 3: 0.129
Key Points
- Overall Cost of Capital is calculated using the formula:
- Overall Cost of Capital = Total Earnings / Total Capital
- Steps to solve:
- Debenture Interest:
- Debentures are ₹20,00,000 at 10% interest.
- Interest = ₹20,00,000 × 10% = ₹2,00,000.
- Net Income After Interest:
- EBIT (Earnings Before Interest and Tax) = ₹5,00,000.
- Net Income = EBIT – Debenture Interest = ₹5,00,000 – ₹2,00,000 = ₹3,00,000.
- Value of Equity:
- Value of Equity = Net Income / Equity Capitalisation Rate.
- Value of Equity = ₹3,00,000 / 16% = ₹18,75,000.
- Total Capital:
- Total Capital = Value of Debentures + Value of Equity.
- Total Capital = ₹20,00,000 + ₹18,75,000 = ₹38,75,000.
- Overall Cost of Capital:
- Overall Cost of Capital = EBIT / Total Capital.
- Overall Cost of Capital = ₹5,00,000 / ₹38,75,000 = 0.129 or 12.9%.
- Debenture Interest:
- Hence, the correct answer is Option 3: 0.129.
Additional Information
- EBIT (Earnings Before Interest and Tax):
- Represents the company’s profitability before deducting interest and taxes.
- Used as a key input for calculating cost of capital.
- Equity Capitalisation Rate:
- Represents the rate at which investors expect returns on equity investments.
- Used to determine the value of equity by dividing net income by this rate.
- Debentures:
- Debentures are long-term debt instruments issued by companies to raise capital.
- They carry a fixed interest rate, which is a cost to the company.
- Overall Cost of Capital:
- Reflects the weighted cost of all sources of capital (debt and equity).
- It helps evaluate the efficiency of the company’s capital structure.
7. Question
ABC ltd. issued 2,000, 10% preference shares of ₹100 each at 95. Calculate the cost of preference shares.
- 8.50%
- 10.53%
- 12.35%
- 15.25%
Solutions:
The correct answer is – 0.1053
Key Points
- Cost of preference shares
- The formula to calculate the cost of preference shares (Kp) is:
Kp = (Preference Dividend) / (Net Proceeds from Issue) - Preference Dividend = Face Value × Rate of Dividend = ₹100 × 10% = ₹10
- Net Proceeds = Issue Price = ₹95
- Substitute the values into the formula:
Kp = ₹10 / ₹95 = 0.1053 (or 10.53%)
- The formula to calculate the cost of preference shares (Kp) is:
- Thus, the correct answer is 0.1053.
Additional Information
- Preference Shares
- Preference shareholders have a fixed rate of dividend and preferential rights over equity shareholders for dividend payment and repayment of capital.
- They do not have voting rights in most cases.
- Cost of Capital
- The cost of capital is the minimum return that a company must earn to satisfy its investors.
- It is calculated differently for equity, preference, and debt capital.
- Issue Price
- If shares are issued at a discount (e.g., ₹95 instead of ₹100), the net proceeds are lower, increasing the cost of capital.
- This concept is relevant in determining the realistic cost of funds raised through preference shares.
8. Question
Match the LIST-I with LIST-II
| LIST-I Concept | LIST-II Formula |
| A. Present Value | I. Cash flow x (1 + r)t |
| B. Future Value | II. Cash flow/ (1 + r)t |
| C. Future Value of Annuity | III. R (PVIFi,n) |
| D. Present Value of Annuity | IV. R (FVIFAi,n) |
Choose the correct answer from the options given below:
- А-ІІ, В-І, С-IV, D-III
- A-I, B-II, C-IV, D-III
- A-III, B-IV, C-I, D-II
- A-I, B-III, C-II, D-IV
Solutions:
The correct answer is – A-II, B-I, C-IV, D-III
Key Points
- Matching LIST-I (Concept) with LIST-II (Formula):
- Present Value (A):
- The formula for Present Value (PV) is Cash Flow ÷ (1 + r)t.
- This formula determines the current worth of a future cash flow based on the discount rate (r) and time period (t).
- Hence, A matches with II.
- Future Value (B):
- The formula for Future Value (FV) is Cash Flow × (1 + r)t.
- This represents the value of an investment at a future date, considering the rate of return (r) and time period (t).
- Hence, B matches with I.
- Future Value of Annuity (C):
- The formula for Future Value of Annuity is R × FVIFAi,n.
- Here, R represents the periodic payment, and FVIFAi,n is the Future Value Interest Factor for Annuity.
- Hence, C matches with IV.
- Present Value of Annuity (D):
- The formula for Present Value of Annuity is R × PVIFAi,n.
- Here, R represents the periodic payment, and PVIFAi,n is the Present Value Interest Factor for Annuity.
- Hence, D matches with III.
- Present Value (A):
- The correct matching is: A-II, B-I, C-IV, D-III.
Additional Information
- Present Value (PV):
- The concept of Present Value is widely used in discounted cash flow analysis to evaluate investment opportunities.
- It helps in determining whether the current investment is worthwhile given the expected future returns.
- Future Value (FV):
- Future Value is crucial in compounding interest calculations, helping investors understand how much their money will grow over time.
- It is an essential concept in personal finance, retirement planning, and long-term investments.
- Future Value of Annuity (FVA):
- This concept applies to scenarios involving regular payments, such as monthly savings or installment plans.
- FVA is calculated using the formula: R × FVIFAi,n, where FVIFAi,n is determined from standard financial tables.
- Present Value of Annuity (PVA):
- PVA is used to evaluate the current worth of regular payments expected in the future, such as in loans or pensions.
- The formula: R × PVIFAi,n relies on PVIFAi,n values available in financial tables.