Unit 4 Business Finance PYQ’s 9 Sep 2026 Shift 2

The correct answer is: A-II, B-III, C-IV, D-I.

Key Points

Additional Information

• Walter’s Dividend Model:
  • Developed by James E. Walter, this model argues that the dividend policy of a firm is based on the relationship between the internal rate of return (r) and the cost of capital (k).
  • For a growth firm (where r>k), the firm should retain all earnings to maximize share value, meaning the optimal payout ratio is 0%.
• Gordon’s Model Growth Rate:
  • Myron Gordon proposed that the value of a stock is the present value of its future dividends.
  • The growth rate (g) in this model is calculated as g=b×r, where ‘b’ is the retention ratio and ‘r’ is the return on equity (or rate of return on investment).
• Dividend Signalling Hypothesis:
  • This theory suggests that dividend announcements are used by management to signal the firm’s future prospects to the market.
  • An increase in dividends is often perceived as a positive signal of future profitability, while a decrease signals financial distress.
• Information Asymmetry:
  • This occurs in a market when one party (typically management or insiders) has more or better information than the other party (shareholders or investors).
  • This imbalance can lead to market inefficiencies and is the core reason why signals like dividends become necessary for communication.

The Correct answer is: B, C and D only.

Key Points

• Statement A: The division of capital between debt and equity determines the value of the firm:
  • This statement is incorrect.
  • According to the Modigliani-Miller (MM) Hypothesis (Proposition I) in a world without taxes, the market value of a firm is independent of its capital structure.
  • The way a firm chooses to finance its operations (the mix of debt and equity) does not affect its total value.
• Statement B: Value of the firm is determined by its earning capacity:
  • This statement is correct.
  • MM argued that the value of a firm depends on the real assets it owns and the income (EBIT) generated by those assets.
  • The value is derived from the underlying profitability and risk of the firm’s operations rather than how the cash flows are split between security holders.
• Statement C: Value of the firm is independent of its capital structure:
  • This statement is correct.
  • This is the core “Irrelevance Proposition” of the MM model. In a perfect capital market without taxes, transaction costs, or bankruptcy costs, the total value of a levered firm is equal to the total value of an unlevered firm.
• Statement D: Cost of equity rises with leverage:
  • This statement is correct.
  • According to MM Proposition II, as the firm increases its debt-to-equity ratio (leverage), the risk to equity holders increases.
  • To compensate for this increased financial risk, shareholders demand a higher return, causing the cost of equity (K_e) to rise linearly with leverage.
• Statement E: Payment of dividend would increase the value of the firm:
  • This statement is incorrect.
  • Modigliani and Miller also proposed the Dividend Irrelevance Theory, which states that in a perfect market, the dividend policy of a firm does not affect its value or its cost of capital.

Additional Information

• Arbitrage Process:
  • The MM hypothesis is supported by the arbitrage mechanism. If two firms are identical in all respects except for their capital structure and have different market values, investors will engage in ‘homemade leverage’ to switch between the firms, eventually equalizing their market values.
• Assumptions of MM Model:
  • Capital markets are perfect (no transaction costs, no taxes, and investors can borrow at the same rate as corporations).
  • Investors are rational and have homogeneous expectations about future earnings.
  • There are no corporate or personal income taxes (in the original 1958 model).

The correct answer is: D, E, B, C and A.

Key Points

• D. From cash to purchase of raw material:
  • The operating cycle begins with the deployment of cash to acquire raw materials. This is the initial investment phase where liquid assets are converted into physical inventory.
• E. Work-in-progress stage:
  • Once raw materials are procured, they enter the production process. During this stage, labor and overheads are applied, and the materials are in a state of Work-in-Progress (WIP).
• B. Finished goods:
  • After the manufacturing process is completed, the WIP is converted into Finished Goods. These are products ready for sale to customers but still held in inventory.
• C. Sales on cash and credit:
  • The finished products are then sold. Sales can occur either for immediate cash or on credit terms. Credit sales create a temporary asset known as accounts receivable.
• A. Conversion of account receivables to cash:
  • The final stage of the cycle is the realization of cash. For credit sales, this involves the collection of accounts receivable. Once the cash is received, the cycle is complete and the funds are available to restart the process.

Additional Information

• Operating Cycle Definition:
  • The operating cycle is the total time duration required by a company to convert its investment in inventory back into cash. It is a key measure of operational efficiency and liquidity.
• Net Operating Cycle:
  • The Net Operating Cycle (or Cash Conversion Cycle) is calculated by adding the Inventory Period and the Receivables Period, then subtracting the Payables Period. A shorter cycle generally indicates a more efficient management of working capital.

The Correct answer is: A, B and C

Key Points

• Interest Rate and Bond Price Relationship (Statement A and D):
  • Statement A is correct and Statement D is incorrect.
  • There is an inverse relationship between interest rates (yields) and bond prices. When market interest rates rise, the fixed coupon payments of existing bonds become less attractive, leading to a decrease in their market value.
  • Conversely, when interest rates fall, existing bonds with higher coupon rates become more valuable, causing their prices to rise.
• Duration of a Bond (Statement B):
  • This statement is correct.
  • Macaulay Duration is defined as the weighted average time until a bondholder receives the cash flows from the bond.
  • The weights are the present value of each cash flow as a percentage of the bond’s total price. It measures the price sensitivity of a bond to changes in interest rates.
• Convexity of a Bond (Statement C):
  • This statement is correct.
  • Convexity measures the curvature of the relationship between bond prices and bond yields. Mathematically, it is related to the second derivative of the bond price with respect to the yield.
  • While duration provides a linear approximation of price changes, convexity accounts for the non-linear nature of the price-yield curve, providing a more accurate estimate for large interest rate shifts.
• Liquidity Risk (Statement E):
  • This statement is incorrect.
  • Liquidity risk refers to the risk that an investor may not be able to buy or sell a bond quickly at a fair price due to a lack of market participants.
  • Risk arising from changes in exchange rates is known as Currency Risk or Exchange Rate Risk, not liquidity risk.

Additional Information

• Modified Duration:
  • It is a modification of Macaulay duration that directly measures the percentage change in price for a 1% change in yield. It is calculated as Macaulay Duration divided by (1+yn), where ‘y’ is the yield and ‘n’ is the number of compounding periods per year.
• Positive Convexity:
  • Most standard bonds exhibit positive convexity, meaning that as yields decline, the price increases at an increasing rate, and as yields rise, the price decreases at a decreasing rate. This is a desirable trait for bondholders.

The correct answer is: C, E, B, D and A.

Key Points

The required rate of return is directly proportional to the risk associated with the financial instrument. Under normal economic conditions, the hierarchy of returns follows the Risk-Return Trade-off principle, where investors demand higher compensation for taking on higher levels of default and market risk.

• C. Treasury Bills:
  • These are short-term debt instruments issued by the Central Government.
  • They are considered risk-free assets because they have the sovereign guarantee of the government and very low maturity risk.
  • Consequently, they offer the lowest required rate of return.
• E. Government Bonds:
  • These are long-dated sovereign debt securities.
  • While they carry no default risk (similar to Treasury Bills), they have a higher interest rate risk due to their longer duration.
  • Therefore, their required return is slightly higher than Treasury Bills but lower than corporate instruments.
• B. Corporate Bonds:
  • These are debt instruments issued by private or public corporations.
  • They carry default risk (credit risk) as a company might fail to pay interest or principal, unlike the government.
  • Investors demand a risk premium over government bonds to compensate for this potential default.
• D. Preference Share Capital:
  • Preference shares are hybrid instruments that sit between debt and equity.
  • In the event of liquidation, preference shareholders are paid after bondholders but before equity holders.
  • Because they carry higher risk than bonds (dividends are not mandatory if profits are insufficient), the required return is higher than corporate bonds.
• A. Equity Capital:
  • Equity represents residual ownership in a company.
  • Equity shareholders bear the highest risk as they are the last to be paid during liquidation and their dividends are not fixed.
  • To attract investors to this high-risk asset, equity must offer the highest expected/required rate of return.

Additional Information

• Risk-Return Trade-off: This fundamental investment principle states that potential return rises with an increase in risk. Low levels of uncertainty or risk are associated with low potential returns, whereas high levels of uncertainty or risk are associated with high potential returns.
• Cost of Capital: From a company’s perspective, the required rate of return of an investor is the cost of capital for the firm. Generally, K_e>K_p>K_d (where K_e is cost of equity, K_p is cost of preference capital, and K_d is cost of debt).

The correct answer is: A-II, B-IV, C-I, D-III.

Key Points

Additional Information

• Default Risk:
  • Also known as credit risk, it refers to the possibility that a lender or investor may not receive the contractual interest or principal payments as agreed.
  • It is a primary concern for bondholders and banks when lending to individuals or corporations.
• Liquidity Risk:
  • This occurs when an individual or institution cannot meet its short-term debt obligations because they cannot convert an asset into cash quickly without a significant loss in value.
  • In financial markets, it refers to the lack of marketability of an investment that cannot be bought or sold quickly enough to prevent or minimize a loss.
• Foreign Exchange Risk:
  • This is the risk that the value of an investment or business transaction will decrease due to changes in the relative value of currencies.
  • It affects businesses that export/import goods or investors who hold international portfolios.
• Sovereign Risk:
  • This is the risk that a foreign government will default on its sovereign debt or fail to honor its financial commitments.
  • It is specifically associated with investing in assets issued by foreign governments or entities within a foreign country where political or economic instability may occur.

The correct answer is ‘It is going to operate in the International market.’

Shiva Ltd. is planning to expand its business into the manufacturing of semi-conductor chips. To remain competitive and sustain its business operations, the company must engage with the global economy, which introduces specific financial risks related to currency fluctuations.

Key Points

• International Market Operations: According to the passage, Shiva Ltd. must operate in the international market to stay in the business. This is because its major competitors from South Korea and Taiwan already hold a significant global market share.
• Foreign Exchange Rate Risk: When a company operates internationally, it deals with multiple currencies. The passage explicitly states, ‘This exposes it to the foreign exchange rate risk.’ This risk arises because the value of the company’s cash flows, assets, and liabilities can fluctuate due to changes in the exchange rates between the domestic currency and foreign currencies.
• Hedging Strategies: The passage mentions that this specific risk can be managed or hedged with the appropriate use of forward and futures contracts, which are financial derivatives used to lock in exchange rates for future transactions.

Additional Information

• Analysis of Other Options:
  • Starting a new business: While starting a new business involves business risk (operating risk), it does not inherently cause foreign exchange risk unless that business involves international trade.
  • Non-banking financial company (NBFC): The passage identifies Shiva Ltd. as a manufacturing firm (semi-conductor chips), not an NBFC.
  • Domestic market: Operating solely in a domestic market typically limits exposure to foreign exchange fluctuations as all transactions occur in the local currency.
• Other Risks Mentioned: Apart from foreign exchange risk, the company faces geopolitical risk and challenges from the global economic environment, requiring careful strategic planning by top management.

The correct answer is: 1.33 times

The Degree of Financial Leverage (DFL) is a financial ratio that measures the sensitivity of a company’s earnings per share (EPS) to fluctuations in its operating income, as a result of changes in its capital structure. It indicates how much a company relies on debt financing to fund its operations and expansion.

Key Points

• Given Data:
  • Total Units Sold = 1,000 units
  • Selling Price per unit = Rs. 100
  • Variable Cost per unit = Rs. 20
  • Fixed Operating Costs = Rs. 40,000
  • Total Debt (Debentures) = Rs. 100,000
  • Interest Rate on Debt = 10%
• Step 1: Calculate Contribution and EBIT:
  • Total Sales = 1,000 × 100 = Rs. 100,000
  • Total Variable Cost = 1,000 × 20 = Rs. 20,000
  • Contribution = Total Sales – Total Variable Cost = 100,000 – 20,000 = Rs. 80,000
  • EBIT (Earnings Before Interest and Taxes) = Contribution – Fixed Operating Costs = 80,000 – 40,000 = Rs. 40,000
• Step 2: Calculate Interest and EBT:
  • Interest Expense = 10% of Rs. 100,000 = Rs. 10,000
  • EBT (Earnings Before Tax) = EBIT – Interest = 40,000 – 10,000 = Rs. 30,000
• Step 3: Calculate Degree of Financial Leverage (DFL):
  • The formula for DFL is: DFL = EBIT / EBT
  • Substituting the values: DFL = 40,000 / 30,000
  • DFL = 1.333… times
• Conclusion:
  • The approximate degree of financial leverage for Shiva Ltd. is 1.33 times.

Additional Information

• Significance of DFL:
  • A DFL of 1.33 implies that for every 1% change in EBIT, the EBT (and consequently EPS) will change by 1.33%. Since the value is greater than 1, it indicates the presence of financial risk due to fixed interest obligations.
• Degree of Operating Leverage (DOL):
  • DOL measures the effect of fixed operating costs. In this case, DOL = Contribution / EBIT = 80,000 / 40,000 = 2 times.
• Degree of Combined Leverage (DCL):
  • DCL measures the total risk (Operating + Financial). DCL = DOL × DFL = 2 × 1.33 = 2.66 times.

The correct answer is: Rs.80,000

In financial and marginal costing analysis, Contribution represents the portion of sales revenue that is not consumed by variable costs and so contributes to the coverage of fixed costs. It is a fundamental metric used to determine the profitability of a product and to calculate various leverage ratios.

Key Points

• Given Data:
  • Expected Sales Quantity = 1,000 units
  • Selling Price per unit = Rs. 100
  • Variable Cost per unit = Rs. 20
• Formula:
  • The formula for Total Contribution is: Total Sales – Total Variable Costs
  • Alternatively, it can be calculated as: Sales Quantity × (Selling Price per unit – Variable Cost per unit)
• Step-by-Step Calculation:
  • Step 1: Calculate the Contribution per unit.
    Contribution per unit = Selling Price – Variable Cost = Rs. 100 – Rs. 20 = Rs. 80
  • Step 2: Calculate the Total Contribution for the expected sales volume.
    Total Contribution = Contribution per unit × Total Units = Rs. 80 × 1,000 units
  • Step 3: Final Calculation:
    Total Contribution = Rs. 80,000
• Conclusion:
  • The expected total contribution for Shiva Ltd. based on the provided production and cost estimates is Rs. 80,000.

Additional Information

• Operating Profit (EBIT):
  • Once the Total Contribution is known, the Operating Profit or Earnings Before Interest and Taxes (EBIT) can be calculated by subtracting fixed operating costs.
    EBIT = Total Contribution – Fixed Costs = Rs. 80,000 – Rs. 40,000 = Rs. 40,000.
• Degree of Operating Leverage (DOL):
  • DOL measures the sensitivity of operating income to changes in sales. It is calculated as:
    DOL = Total Contribution / EBIT = Rs. 80,000 / Rs. 40,000 = 2. This indicates that for every 1% change in sales, the EBIT will change by 2%.

The correct answer is ‘South Korea’

Key Points

• Identification of Competitors: According to the passage, Shiva Ltd. is planning to enter the semi-conductor chip manufacturing business. In this sector, the company faces stiff competition from established global players.
• Geographic Location: The passage explicitly states, ‘Its major competitors are the firms in South Korea and Taiwan.’ These regions are globally recognized hubs for semiconductor production.
• Market Dominance: The text further notes that these competitors (from South Korea and Taiwan) already possess a large portion of market share globally, making it necessary for Shiva Ltd. to operate in the international market to remain viable.
• Strategic Context: Because the main competition is based in these specific East Asian countries, Shiva Ltd. is exposed to foreign exchange rate risk and must consider hedging strategies like forward and futures contracts.

Additional Information

• Analysis of Other Options:
  • Japan: While Japan is a significant player in the electronics and semiconductor materials industry, the passage specifically names South Korea and Taiwan as the primary competitors for Shiva Ltd.
  • France and Germany: These European nations have strong industrial bases, but they are not mentioned in the text as the primary competitors in the context of Shiva Ltd.’s specific business plan.
• Semiconductor Industry Hubs: Real-world context aligns with the passage, as South Korea (home to Samsung and SK Hynix) and Taiwan (home to TSMC) are the world leaders in semiconductor manufacturing.
• Risks Involved: Operating against these giants involves not just market competition but also geopolitical risk and sensitivity to the global economic environment.

The correct answer is: 2 times

The Degree of Operating Leverage (DOL) is a financial ratio that measures the sensitivity of a company’s operating income (EBIT) to its sales volume. It quantifies how much the operating profit will change in response to a percentage change in sales, primarily driven by the presence of fixed operating costs.

Key Points

• Given Data:
  • Expected Sales Quantity = 1,000 units
  • Selling Price per unit = Rs. 100
  • Variable Cost per unit = Rs. 20
  • Fixed Operating Costs = Rs. 40,000
• Formula:
  • The formula for Degree of Operating Leverage (DOL) is: Total Contribution / EBIT
  • Where Contribution = Total Sales – Total Variable Costs
  • And EBIT (Earnings Before Interest and Taxes) = Total Contribution – Fixed Operating Costs
• Step-by-Step Calculation:
  • Step 1: Calculate Total Contribution
    Contribution per unit = Selling Price – Variable Cost = 100 – 20 = Rs. 80Total Contribution = 1,000 units × Rs. 80 = Rs. 80,000
  • Step 2: Calculate EBIT
    EBIT = Total Contribution – Fixed Operating CostsEBIT = 80,000 – 40,000 = Rs. 40,000
  • Step 3: Calculate DOL
    DOL = 80,000 / 40,000 = 2
• Conclusion:
  • The degree of operating leverage for Shiva Ltd. is 2 times.

Additional Information

• Significance of DOL:
  • A DOL of 2 means that for every 1% increase in sales, the operating profit (EBIT) will increase by 2%. Conversely, a 1% decrease in sales will lead to a 2% decrease in EBIT.
• Operating Risk:
  • Higher fixed costs lead to a higher DOL, which indicates higher operating risk. If a firm has no fixed operating costs, its DOL would be 1.
• Financial Leverage:
  • While DOL measures operating risk, the Degree of Financial Leverage (DFL) measures the risk associated with fixed interest expenses. For Shiva Ltd., DFL = EBIT / (EBIT – Interest) = 40,000 / (40,000 – 10,000) = 1.33 times.