Medium2 marksMultiple Choice
Estimating the Cost of CapitalSection AEstimating the Cost of CapitalConvertible Debt

ACCA · Question 13 · Estimating the Cost of Capital

Section A

WindForce Inc has issued convertible green bonds. The current market value is $105 per $100 nominal value. The bonds pay annual interest of 5% and mature in 4 years. At maturity, investors can either redeem at par or convert into 20 ordinary shares. The current share price is $4.50 and is expected to grow at 6% per year. The corporate tax rate is 20%.

What is the expected conversion value of the bond at maturity?

Answer options:

A.

$90.00

B.

$100.00

C.

$113.62

D.

$120.00

How to approach this question

First, calculate the expected share price in 4 years using the compound growth formula: Current Price * (1 + growth rate)^n. Then multiply this future share price by the number of shares offered on conversion.

Full Answer

C.$113.62✓ Correct
To find the expected conversion value, we must forecast the share price at the date of maturity. Future share price = Current price * (1 + g)^n Future share price = $4.50 * (1 + 0.06)^4 = $4.50 * 1.26247 = $5.681 Conversion value = Number of shares * Future share price Conversion value = 20 * $5.681 = $113.62. Since $113.62 > $100 (par value), investors are expected to convert.

Common mistakes

Calculating the current conversion value instead of the future conversion value, or applying the tax rate to the share price.

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