You are given the following information for cleen power co. assume the company’s tax rate is 40 percent. debt: 5,000 6.6 percent coupon bonds outstanding, $1,000 par value, 20 years to maturity, selling for 109 percent of par; the bonds make semiannual payments. common stock: 380,000 shares outstanding, selling for $56 per share; the beta is 1.12. market: 5 percent market risk premium and 4.6 percent risk-free rate. what is the company's wacc?

    WACC   = 8.84%

Explanation:

Face value= $ 1000    (assume)

Current price = 1000* 109% = 1090

semianual interest =1000 *.066*6/12 = 33

semiannual months = 20 *2 = 40

Yield to maturity of bonds = [semiannual interest +(face value -current price) /months]/[(face value+price)/2]

                                            = [33 + (1000- 1090 )/40 ]/[(1000 +1090)/2]

                                            = [33 + (-90/40) ] / [2090 /2]

                                           = [33 - 2.25 ] /1045

                                          = 30.75 /1045

                                       = .0294 or 2.94% semiannually or (2.94*2) =5.88 % annually

After tax cost of debt = 5.88 (1- .40 ) = 3.528 %

Market value of bond = 1090 *5000 = $ 5450000

b)cost of equity =Rf +[beta*market premium ]

                           = 4.6 + [1.12 * 5]

                            = 4.6 + 5.6

                            = 10.20 %

market value of equity = 380000*56 =$ 21280000

Total market value of debt and equity =5450000 +21280000

                                                                  = $ 26730000

weight of debt = 5450000/26730000 = .2039

weight of equity = 21280000 /26730000 = .7961

WACC = (after tax cost of debt *WD)+(cost of equity *We)

            = (3.528 * .2039 )+(10.20 * .7961)

              = .7194 + 8.1202

              = 8.84%

a.