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Problem 13-7 Finding the Capital Structure Fama’s Llamas has a weighted average

ID: 2753318 • Letter: P

Question

Problem 13-7 Finding the Capital Structure

Fama’s Llamas has a weighted average cost of capital of 10.2 percent. The company’s cost of equity is 14 percent, and its cost of debt is 8.2 percent. The tax rate is 35 percent. What is Fama’s debt–equity ratio?(Do not round intermediate calculations and round your final answer to 4 decimal places. (e.g., 32.1616))

   

Fama’s Llamas has a weighted average cost of capital of 10.2 percent. The company’s cost of equity is 14 percent, and its cost of debt is 8.2 percent. The tax rate is 35 percent. What is Fama’s debt–equity ratio?(Do not round intermediate calculations and round your final answer to 4 decimal places. (e.g., 32.1616))

Explanation / Answer

WACC = Wd×Rd×(1-t)+We×Ke

W is weights of respective portfolios

R is return on respective portfolios

Wd+We = 1

10.2% = Wd×8.2%×(1-35%)+(1-Wd)×14%

0.102 = Wd×0.0533+0.14-0.14×Wd

Wd = 0.4383

We = 0.5617

Debt equity ratio:

= 0.4383÷0.5617

= 0.78