Medium2 marksMultiple Choice
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?
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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