The Nutrex Corporation wants to calculate its weighted average cost of capital.

Question

The Nutrex Corporation wants to calculate its weighted average cost of capital. Its

target capital structure weights are 40 percent long-term debt and 60 percent

common equity. The before-tax cost of debt is estimated to be 10 percent and the

company is in the 40 percent tax bracket. The current risk-free interest rate is 8

percent on Treasury bills. The expected return on the market is 13 percent and the

firm’s stock beta is 1.8.

a. What is Nutrex’s cost of debt?

b. Estimate Nutrex’s expected return on common equity using the security market

line.

c. Calculate the after-tax weighted

cost of debt

expected return on

common equity

after-tax WACC

cost of debt

formula calculation in excel format

expected return on

common equity

formula calculation in excel format

after-tax WACC

formula calculation in excel format

Explanation / Answer

Answer: a. Cost of Debt = Before tax cost of debt Less tax

10% less 40% = 6%

b. Expected return on common equity=Rf+beta(ER(m)-Rf)

R = 8% + 1.8 (13 % - 8%);

or 8% + 1.8 (5%); or 8% + 9% = 17%
c.After-tax WACC=Weight of debt*kd+weight of equity *Ke

WACC = (40% x 6%) + (60% x 17%)

= 2.4% + 10.2%,

or WACC = 12.6%

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