In: Finance
It is your job to determine your company’s marginal cost of capital schedule. The firm’s current capital structure, which it considers optimal, consists of 30% debt, 20% preferred stock, and 50% common equity. The firm has determined that it can borrow up to $15 million in debt at a pre-tax cost of 7%, an additional $9 million at a pre-tax cost of 9%, and any additional debt funds at 11%. The firm expects to retain $25 million of its earnings; any additional income can be raised by issuing new common stock. The firm’s common stock currently trades at $30 per share, and it pays a $3.00 per share dividend. Dividends are expected to grow at a 5% annual rate over time. If the firm issues new common stock it will be sold to the public at a 10% discount. There will also be a $2.00 per share flotation cost. Preferred stock can be issued in unlimited quantities at a pre-tax cost of 12%. If the firm decides to raise more than $80m in capital, what is the cost of that capital? Assume a tax rate of 40%.
Weighted average cost of debt | |||
Amt. | Wt. to total | After-tax cost | Wt.*Cost |
15 | 18.75% | 4.20% | 0.79% |
9 | 11.25% | 5.40% | 0.61% |
80-24=56 | 70.00% | 6.60% | 4.62% |
80 | 100.00% | 6.02% |
Cost of retained earnings |
ke=(Next dividend/Market price)+growth rate of dividends |
((3*1.05)/30)+5%= |
15.50% |
Cost of new equity |
ke=(Next dividend/Net proceeds of new issue)+growth rate of dividends |
((3*1.05)/((30*(1-10%)-2))+5%= |
17.60% |
Cost of Preferred stock= |
12% |
Given that |
it considers optimal, consists of 30% debt, 20% preferred stock, and 50% common equity |
and also that |
the firm expects to retain $25 million of its earnings |
balance 80-25= $ 55 millions need to be raised from outside |
in the ratio of 30%,20% & 50% respectively of |
debt,preferred stock & new common equity |
Now, with the weights & the 3 respective costs known , |
the weighted average cost of outside capital,ie. WACC |
The WACC=(Wt.d*kd)=(Wt.ps*kps)+(Wt.e*ke) |
ie.(30%*6.02%)+(20%*12%)+(50%*17.60%)= |
13.01% |
the company’s marginal cost of capital,including the cost of retained earnings= |
((55/80*13.01%)+(25/80*15.5%)= |
13.79% |
(ANSWER) |