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# Finance problem sheets

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Problem 1

A company issues 15-year, \$1,000 par-value bonds, with a coupon rate of 5%. The bonds are sold for \$619.70. The tax rate is 30%. Compute the cost of debt before taxes and after taxes.

Problem 2

Suppose a company issues common stock to the public for \$25 a share. The expected dividend is \$2.50 per share and the growth in dividends is 8%. If the flotation cost is 10% of the issue proceeds, compute the cost of external equity, re.

Problem 3
Calculate the cost of preferred stock (rPS) with the given information:

Par Value = \$200
Current Price = \$208
Flotation Cost = \$16
Annual Dividend = 12% of Par

Problem 4

A company is investigating the effect on its cost of capital with respect to the tax rate. Suppose there is a capital structure of 20% debt, 10% preferred stock, and 70% common stock. The cost of financing with retained earnings is re = 12%, the cost of preferred stock financing is rPS = 7%, and the before-tax cost of debt is rd = 9%. Calculate the weighted average cost of capital (WACC) given a tax rate of 35%.

Problem 5

Suppose you are informed that a company expects to pay a \$2.50 dividend at year end (D1 = \$2.50), the dividend is expected to grow at a constant rate of 5.50% a year, and the common stock currently sells for \$52.50 a share. The before-tax cost of debt is 7.50%, and the tax rate is 40%. The target capital structure consists of 45% debt and 55% common equity. What is the company's WACC if all the equity used is from retained earnings?

Problem 6

Alpha Products maintains a capital structure of 40 percent debt and 60 percent common equity. To finance its capital budget for next year, the firm will sell \$50 million of 11 percent debentures at par and finance the balance of its \$125 million capital budget with retained earnings. Next year Alpha expects net income to grow 7 percent to \$140 million, and dividends also are expected to increase 7 percent to \$1.40 per share and to continue growing at that rate for the foreseeable future. The current market value of Alpha's stock is \$30. If the firm has a marginal tax rate of 40 percent, what is its weighted cost of capital for the coming year?