The President and CFO of Spellman Transportation are having a disagreement about

Question

The President and CFO of Spellman Transportation are having a disagreement about whether to use market value or book value weights in calculating the WACC. Spellman's balance sheet shows a total of noncallable $45 million long-term debt with a coupon rate of 7.00% and a yield to maturity of 6.00%. This debt currently has a market value of $50 million. The company has 10 million shares of common stock, and the book value of the common equity (common stock plus retained earnings) is $65 million. The current stock price is $22.50 per share; stockholders' required return, rs, is 14.00%; and the firm's tax rate is 40%. The CFO thinks the WACC should be based on market value weights, but the president thinks book weights are more appropriate. What is the difference between these two WACCs? a) 1.55% b) 1.72% c) 1.91% d) 2.13% e) 2.36%

Explanation / Answer

BV value Capital weight Cost rates Product Stock price $ 22.50 Share outstanding $ 10 million Debt $ 45.0 40.91% 3.60% 1.47% YTM 6% Equity $ 65.0 59.09% 14.00% 8.27% rs 14% Total $ 110.0 100% WACC 9.75% tax rate 40% BV of debt $ 45 MKT value Capital weight Cost rates Product Debt $ 50.0 18.18% 3.60% 0.65% Equity $ 225.0 81.82% 14.00% 11.45% Total $ 275.0 100% WACC 12.11% Difference of BV and MV 2.36%

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