Question

In: Finance

The chief financial officer of Portland Oil has given you the assignment of determining the firm's...

The chief financial officer of Portland Oil has given you the assignment of determining the firm's marginal cost of capital. The present capital structure which is considered optimal, is:

                                                 Book Value        Market Value  

     Debt                           $ 80 million          $ 60 million  

     Preferred Stock                     30 million              30 million  

     Common Equity                   100 million           210 million  

                 Total                                $210 million         $300 million  

  The anticipated financing opportunities are these: Debt can be issued with a 12 percent before-tax cost. Preferred stock will be $100 par, carry a dividend of 15 percent, and can be sold to net the firm $85 per share. Common equity has a beta of 1.20, the return on the market is 8 percent, and the risk-free rate is 2 percent. The firm's tax rate is 40 percent.  

     The company’s marginal cost of capital (MCC) is:

11.47 percent

10.60 percent

9.38 percent

  8.34 percent

9.64 percent

Solutions

Expert Solution

Given about Portland oil,

Market value of Debt = $60 million

Market value of preferred stock = $30 million

Market value of common stock = $210 million

So, Weight of debt Wd = MV of debt/Total merket value = 60/300 = 20%

Weight of preferred stock Wp = MV of preferred stock/total market value = 30/300 = 10%

Weight of common stock We = MV of common equity/total market value = 210/300 = 70%

befor tax cost of debt Kd = 12%

Preferred stock with par value of 100 and 15% dividend rate at valued at $85

So, cost of preferred stock Kp using prepetuity model is

Kp = Dividend/Price = 15/85 = 17.65%

beta of common equity = 1.2

risk free rate Rf = 2%

Expected return on market Rm = 8%

So, cost of equity Ke using CAPM is

Ke = Rf + beta*(Rm - Rf) = 2 + 1.2*(8 - 2) = 9.20%

Tax rate T = 40%

So, Marginal cost of capital = Wd*Kd*(1-T) + Wp*Kp + We*Ke = 0.2*12*(1-0.4) + 0.1*17.65 + 0.7*9.2 = 9.64%

So option E is correct.


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