570,000. the firm will raise the $570,000 in capital by issuing $230,000 of debt at a before-tax cost of 11.1%, $20,000 of preferred stock at a cost of 12.2%, and $320,000 of equity at a cost of 14.7%. the firm faces a tax rate of 25%. what will be the wacc for this project? (note: round your intermediate calculations to three decimal places.)

WACC = 12.040%

Explanation:

WACC represents weighted average cost of all sources of financing. In the question there are three sources of finance 1) Equity 2) Preferred Stock 3) Debt.

1) Equity: The firm intends to raise $ 320,000 from equity out of total financing of $ 570,000 e.g. 56% of total financing comes from Equity. Thus multiplying the cost of equity 14.7% (given) with ratio of equity financing, we get to weighted average cost of equity of 8.253%.

2) Debt: The firm is raising $ 230,000 from debt e.g. 40% of total financing. The proportion of debt is multiplied by post tax cost of debt as the interest expense is deductible expense for tax purposes in most of the jurisdiction. Therefore we reduce the cost of debt with element of (1 - tax rate), thus we get to 8.325% = 11.1 (1 - 25%) as total cost of debt. In order to get weighted average cost of debt we multiply this post tax cost of debt with ratio of debt financing 40%, thus weighted average cost of debt is 8.325 * 40% = 3.359%

3) Preferred Stock: The firm is also raising finance from preferred stock having cost of 12.2%. Proportion of financing from preferred stock is 4% in total mix of financing, thus weighted average cost of preferred stock is 12.2% * 4% = 0.428%.

Now adding weighted average cost of all three sources of funding, we get WACC: 8.253% + 3.359% + 0.428% = 12.040%

b is the correct answer