Academic Integrity: tutoring, explanations, and feedback — we don’t complete graded work or submit on a student’s behalf.

(Weighted average coil of capital) Crawford Enterprises is a publicly held compa

ID: 2726269 • Letter: #

Question

(Weighted average coil of capital) Crawford Enterprises is a publicly held company located in Arnold,. The firm began as a small tool and die shop but grew over its 35-year life to become a leading supplier of metal fabrication equipment used in the farm tractor industry. At the close of 2009 the firm's balance sheet appeared as follows: At present the firm's common stock is selling for a price equal to its book value, and the firm's bonds are seiling at par. Crwford's managers estimate that the market requires a return of 18 percent on its common stock, the firm's bonds command a yield to maturity of 7 percent, and the firm faces a tax rate of 33 percent. What is Crawford's weighted average cost of capital? If Crawford's a stock price were to rise such that it sold at 1.5 times book value, causing the cost of equity to fall to 16 percent, what would the firm's cost of capital be (assuming the cost of debt and tax rate do not change)?

Explanation / Answer

Part A

After-tax cost of debt = yield x (1- t)

                                          = 0.07 x (1-0.33)

                                          = 4.69%

Source

Amount

Cost

Cost x amount

Debt

10520000

5%

493388

Equity

20684000

18.00%

3723120

Total

31204000

4216508

Weighted average cost of capital = sum of cost x amount / sum of amount

                                                                = 4216508/ 31204000

                                                                = 13.51%

Part B

Market value of equity = book value of equity x market value to book value ratio

                                             = 20684000 x 1.50

                                                = 31026000

Source

Amount

Cost

Cost x amount

Debt

10520000

5%

493388

Equity

31026000

16.00%

4964160

Total

41546000

5457548

Weighted average cost of capital = sum of cost x amount / sum of amount

                                                                = 5457548/ 41546000

                                                                = 13.14%

Source

Amount

Cost

Cost x amount

Debt

10520000

5%

493388

Equity

20684000

18.00%

3723120

Total

31204000

4216508