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Answers are provided but I don't understand how we get the line 37.5(PVIFA R% 30) + 1000 (PVIF R%30) in part B. where do these
Answers are provided but I don't understand how we get the line "37.5(PVIFA R% 30) + 1000 (PVIF R%30) in part B. where do these numbers come from and what are the calculations we have to do to get 3.033%? if a financial calculator is involved , please explain the steps performed on the financial calculator. thank you !
16. Finding the WACC (L03) Raymond Mining Corporation has 8.5 million shares of common stock outstanding, 250,000 shares of 5 percent preferred stock outstanding, and 135,000 7.5 percent semiannual bonds outstanding, par value $1,000 each. The common stock currently sells for $34 per share and has a beta of 1.25, the preferred stock currently sells for $91 per share, and the bonds have 15 years to maturity and sell for 114 percent of par. The market risk premium is 7.5 percent, T-bills are yielding 4 percent, and the company's tax rate is 35 percent. a. What is the firm's market value capital structure? b. If Raymond Mining is evaluating a new investment project that has the same risk as the firm's typical project, what rate should the firm use to discount the project's cash flows? We will begin by finding the market value of each type of financing. We find: MVD = 135,000($1,000)(1.14) = $153,900,000 MV -8,500,000($34) = $289,000,000 MVp - 250,000($91) - $22,750,000 And the total market value of the firm is: V-$153,900,000 + 289,000,000 + 22,750,000 = 5465,650,000 So, the market value weights of the company's financing is: D/V = $153,900,000/$465,650,000=0.3305 P/V = $22,750,000/S465,650,000 - 0.0489 EV = $289,000,000 $465,650,000 = 0.6206 . For projects equally as risky as the firm itself, the WACC should be used as the discount rate. First we can find the cost of equity using the CAPM. The cost of equity is: RE=0.04 +1.25(0.075) = 0.13375 or 13.375% The cost of debt is the YTM of the bonds, so: Po= $1,140 = $37.5(PVIFAR!430) = $1,000(PVIFR%.30) R=3.033% YTM = 3.033% x 2 = 6.065% And the aftertax cost of debt is: Rp = (1 -0.35)(0.06065) = 0.0394252 or 3.94252% The cost of preferred stock is: Rp=55/591 = 0.0549 or 5.49% Now we can calculate the WACC as: WACC = 0.0394252(0.3305) -0.13375(0.6206) + 0.0549(0.0489) = 0.09872 or 9.872%Step by Step Solution
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