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Q.'Smart Stationery Ltd.' wants to raise funds of ₹ 40,00,000 for its new project. The management is considering the following mix of debt and equity to raise this amount : Capital Structure Alternative I (<) / II (<) / III (<) Equity: 40,00,000 / 30,00,000 / 10,00,000 Debt: 0 / 10,00,000 / 30,00,000 Other details are as follows : Interest Rate on Debt: 9% Face Value of Equity Shares: ₹ 100 each Tax Rate: 30% Earning Before Interest and Tax (EBIT): ₹ 8,00,000

(a) Under which of the three alternatives will the company be able to take advantage of Trading on Equity ?
(b) Does Earning Per Share always rise with increase in debt ?
CBSECBSE Class XII Board 2019Subjective· 4mImportance★★★★★
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Trading on equity — using fixed-cost debt to raise the return to equity shareholders — works only when the return on investment exceeds the cost of debt. Here ROI (20%) is well above the 9% interest rate, so the company gains from trading on equity in both Alternative II and Alternative III (the alternatives that use debt), with the maximum advantage in Alternative III. And no, EPS does not always rise with debt.

Trading on equity means using borrowed funds carrying a fixed rate of interest in the capital structure so that the earnings available to equity shareholders (EPS) increase. It works only when the firm's return on investment (ROI) is greater than the rate of interest on debt; if ROI falls below the interest rate, extra debt reduces EPS.

Here the total funds required are ₹ 40,00,000 and EBIT is ₹ 8,00,000, so:

  • ROI = (EBIT ÷ Total funds) × 100 = (8,00,000 ÷ 40,00,000) × 100 = 20%
  • Interest rate on debt = 9%

Since 20% > 9%, employing debt is favourable — so trading on equity benefits the company in every alternative that uses debt.

Working out EPS under each alternative (tax 30%, face value ₹ 100 per share):

Alternative I — all equity (Debt = 0). Shares = 40,00,000 ÷ 100 = 40,000. Interest = nil. PBT = ₹ 8,00,000. Tax = ₹ 2,40,000. PAT = ₹ 5,60,000. EPS = 5,60,000 ÷ 40,000 = ₹ 14.00. (No debt, so no trading on equity.)

Alternative II — Equity ₹ 30,00,000, Debt ₹ 10,00,000. Shares = 30,000. Interest = 9% of 10,00,000 = ₹ 90,000. PBT = ₹ 7,10,000. Tax = ₹ 2,13,000. PAT = ₹ 4,97,000. EPS = 4,97,000 ÷ 30,000 = ₹ 16.57 (approx.). EPS is higher than in Alternative I, so trading on equity is working.

Alternative III — Equity ₹ 10,00,000, Debt ₹ 30,00,000. Shares = 10,000. Interest = 9% of 30,00,000 = ₹ 2,70,000. PBT = ₹ 5,30,000. Tax = ₹ 1,59,000. PAT = ₹ 3,71,000. EPS = 3,71,000 ÷ 10,000 = ₹ 37.10. This is the highest EPS of the three. …

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