The Cosmo K Manufacturing Group is considering the addition of a new smelting ma

Question

The Cosmo K Manufacturing Group is considering the addition of a new smelting machine or a new paving machine. The two investments are mutually exclusive; if one is selected, the other is rejected. The annual cash flows after taxes and the effects of depreciation, which begin one year from project start, and their respective probabilities are given below: Smelting Machine Paving Machine Probability Net Cash Flows per Year Probability Net Cash Flows per Year 0.2 $14,100.00 0.2 $2,000.00 0.5 $16,000.00 0.5 $16,000.00 0.2 $17,000.00 0.2 $22,000.00 0.1 $20,000.00 0.1 $33,000.00 Each project has an expected life of 4 years and will cost $45,000. The riskier project will be evaluated at the company's WACC plus 3%, and the less risky project will be evaluated at the company's WACC. Cosmo K has the following capital structure: Debt: 30% Preferred stock: 16% Common stock: 54% This capital structure is current and consistent with the company's objectives and so will be used to raise any new funds. All new debt will be raised using long-term bonds, with no short-term debt being used for the new project. New bonds will have a coupon rate of 13%. The company's common stock is currently selling for $65 per share, paid a dividend of $4.25 last year, and has an expected growth rate of 6% indefinitely. There will be no floatation costs on new common stock. Preferred stock can be sold for $90 per share and pays a dividend of $10, with a floatation cost of $2 per share. Currently, the market risk premium is 5% and the risk-free rate is 8%. Cosmo K's beta coefficient is currently 1.23 and is expected to be consistent for the foreseeable future. The tax rate is expected to be 40% for the next decade What is the coefficient of variation for each investment? Given the data above, which investment has the higher risk? What is the expected net present value (NPV) for each investment? What is the internal rate of return (IRR) of the investments?

Explanation / Answer

Market Risk Premium = 5% or 0.05

Risk-free rate = 8% or 0.08

Beta of stock = 1.23

Expected Rate of Return on equity re= rf + Beta * market risk premium

                                                              = 0.08 + 1.23 * 0.05

                                                              = 0.08 + 0.0615 = 0.1415 or 14.15

year cash flow of smelting machine cash flow of paving machine rate@14.15 pv of smelting pv of paving 1 1 14100 2000 0.87604 12352.17 1752.081 2 16000 16000 0.767447 12279.15 12279.15 3 17000 22000 0.672314 11429.34 14790.91 4 20000 33000 0.588974 11779.49 19436.15 NPV 47840.14 48258.29

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