Hard2 marksMultiple Choice
Estimating the Cost of CapitalCost of capitalConvertible debtSection A

ACCA · Question 12 · Estimating the Cost of Capital

Section A

AlphaTech PLC has $5 million of convertible bonds in issue. The bonds pay an annual coupon of 6% and are redeemable in 4 years at par, or convertible into 20 ordinary shares per $100 bond. The current share price is $4.50 and is expected to grow at 5% per year. The pre-tax cost of debt is 8% and the corporate tax rate is 25%.

When calculating the Weighted Average Cost of Capital (WACC), how should the cost of this convertible debt be determined?

Answer options:

A.

Use the current yield of 6% multiplied by (1 - 0.25).

B.

Calculate the Internal Rate of Return (IRR) using the higher of the redemption value or the expected conversion value in 4 years.

C.

Treat the convertible bonds entirely as equity since they are likely to be converted.

D.

Use the pre-tax cost of debt (8%) without tax adjustment, as conversion avoids tax shields.

How to approach this question

Determine what rational investors will do at maturity (convert or redeem). The cost of debt is the IRR of the cash flows based on that rational choice.

Full Answer

B.Calculate the Internal Rate of Return (IRR) using the higher of the redemption value or the expected conversion value in 4 years.✓ Correct
To find the cost of convertible debt, you must first determine if conversion is likely. Calculate the expected share price at year 4 ($4.50 $\times$ 1.05^4 = $5.47). The conversion value is 20 shares $\times$ $5.47 = $109.40. Since $109.40 > $100 par value, investors will convert. The cost of debt is the IRR of the current market value, the after-tax interest payments, and the conversion value at year 4.

Common mistakes

Assuming convertible debt is treated as equity immediately, or ignoring the growth of the share price when evaluating the conversion option.

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