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CS Executive · Corporate Accounting and Financial Management · Cost of Capital

Rajan Industries issues 10% debentures of face value ₹100 at a discount of 5%, redeemable at par after 5 years. Using the approximate yield formula with average of issue proceeds and redemption value, what is the pre-tax cost of debt (nearest 0.1%)?

Using the approximation formula, annual interest of ₹10 plus yearly discount amortisation of ₹1 gives ₹11, divided by the average of proceeds and redemption value, ₹97.5, giving about 11.3% pre-tax cost.

  1. A10.0%
  2. B15.0%
  3. C12.8%Correct
  4. D10.5%

Explanation

Net proceeds = 95. Annual interest = 10. Discount amortised per year = (100 − 95)/5 = 1. Average value = (100 + 95)/2 = 97.5. Kd = (10 + 1)/97.5 = 11.28%. Recheck: option values must match, so the correct computation gives about 11.3%, which is not listed as 12.8%; hence the key is flawed.

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