Cromwell's interiors is considering a project that is equally as risky as the firm's current operations. the firm has a cost of equity of 15.4 percent and a pretax cost of debt of 8.9 percent. the debt-equity ratio is .46 and the tax rate is 34 percent. what is the cost of capital for this project?

Cost of capital = 12.40%

Explanation:

given data

cost of equity = 15.4 percent

pretax cost of debt = 8.9 percent

debt-equity ratio = 0.46

tax rate = 34 percent

to find out

What is the cost of capital for this project

solution

first we get Equity multiplier that is express as

Equity multiplier = 1 + debt-equity ratio  ..................1

put here value

Equity multiplier = 1 + 0.46

Equity multiplier = 1.46

and

Weight of equity will be

Weight of equity =    ....................2

put here value

Weight of equity =

Weight of equity =  0.6849

and

Weight of Debt will be here

Weight of Debt = 1 -  weight of equity    ...........................3

put here value

Weight of Debt =  1 - 0.6849

Weight of Debt =   0.3151

so

Cost of capital will be here as

Cost of capital = Weight of Debt  × pretax cost of debt ×  (1- tax rate )  + cost of equity ×  Weight of equity    .....................4

put here value we get    

Cost of capital = 0.3151 × 8.9% × (1 - 0.34) + 15.4% × 0.6849

Cost of capital = 12.40%