Question

the total book value of wtc’s equity is $11 million, and book value per share is $20. the stock has a market-to-book ratio of 1.5, and the cost of equity is 14%. the firm’s bonds have a face value of $7 million and sell at a price of 110% of face value. the yield to maturity on the bonds is 10%, and the firm’s tax rate is 21%. what is the company’s wacc?

Answer 1

D = 1.10 × $7m = $7.7m, E = 1.5 × $11m = $16.5m (E=bond maturity)

V=D + E = $7.7 million + $16.5 million = $24.2 million

WACC = (D / V) (1 Tc), (E / V) rDebt rEquity = ($7.7m / $24.2m) (1 0.21 / 0.10) + ($16.5m / $24.2m) × 0.14 =0.1206, or 12.06%.

Why is bond maturity so important?

When evaluating interest rate risk, the maturity of a bond is critical. The amount by which the price of a bond will rise or fall in response to a change in interest rates. A bond with a longer maturity also has a higher interest rate risk. When assessing the potential performance of a bond, four main variables must be addressed. The current price of the bond in relation to its face value is one. Another variable is the maturity of the bond (the number of years or months for which the issuer borrows money). A third factor is the bond's interest rate and yield—its effective return based on its price and face value.

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