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Prosien 5! (30 points) Box Corporation has 80,500 shares of common stock outstanding at a market price of $28 per share. The firm has also 30,000 bonds outstanding, paying a 6.5% coupon each, and currently selling at 94 percent of par value. The current yield to maturity on thos6 8.5% (pre-tax cost of debt). The tax rate paid by the company is 40%. rate, with a face value of $100 bonds is The beta of the companys stock is 1.82 and the equity risk premium is 7.8%. The risk-free rate of return is 3.1%. Estimate the cost of equity re of Box Corporation using the CAPM model 1) 2) Calculate the Weighted-Average Cost of Capital (WACC) of Box Corporation The company is considering two mutually exclusive investment projects that require the same initial investment. Unfortunately, it can only afford one of the two projects. The following table shows the expected cash flows from year 1 to 4 for each project: Year 1 Year 2 Year 3 Year 4 Project A 2.660.060 2.727.060 2.873.5203.773.400 Project B 4.225.010 E 2.540.306 1.567.820 1.205.446 Calculate the present value of the cash flows for each project, using the WACC as the discount rate. 3) to invest? lustify your answer.
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Answer #1
1) Cost of equity = 3.1%+1.82*7.8% = 17.30%
After tax cost of debt = 8.6%*(1-40%) = 5.16%
2) WACC:
Component Market Value $ Weight Component Cost WACC
Equity (80500*$28) 2254000 44.42% 17.30% 7.68%
Debt (30000*$94) 2820000 55.58% 5.16% 2.87%
Total 5074000 10.55%
WACC = 10.55%
3) PROJECT A:
Year Cash Flows PVIF at 10.55% PV at 10.55%
1 2660060 0.90457 2406205
2 2727060 0.81824 2231399
3 2873520 0.74016 2126855
4 3773400 0.66952 2526375
PV of cash inflows = 9290835
PROJECT B:
Year Cash Flows PVIF at 10.55% PV at 10.55%
1 4225010 0.90457 3821809
2 2540306 0.81824 2078589
3 1567820 0.74016 1160433
4 1205446 0.66952 807073
PV of cash inflows = 7867903
4) As both the projects have the same initial investment, the project with the higher
PV of cash inflows is to be selected, as it will have the higher NPV. This is of course
subject to the condition that the NPVs should be positive.
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