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Midterm - Winter 2009 Q-2

Course: MANG mgtb09, Spring 2010
School: University of Toronto
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OF UNIVERSITY TORONTO at Scarborough Management MGTC09 (Intermediate Finance) Mid term Exam Date: March 6, 2009 Total Marks: 100 Time: 3-5 p.m. Rooms: HW216, SW309, SW319 Prof. Syed W. Ahmed TAs: David Chen & Evan Huang Number of Pages including the title page: 8 Items Allowed: Calculator and one 8.5x11 single sided crib sheet. Only handwritten (no photocopies) crib sheet is allowed...

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OF UNIVERSITY TORONTO at Scarborough Management MGTC09 (Intermediate Finance) Mid term Exam Date: March 6, 2009 Total Marks: 100 Time: 3-5 p.m. Rooms: HW216, SW309, SW319 Prof. Syed W. Ahmed TAs: David Chen & Evan Huang Number of Pages including the title page: 8 Items Allowed: Calculator and one 8.5x11 single sided crib sheet. Only handwritten (no photocopies) crib sheet is allowed Please do all the problems with pen or at least write the final answer with pen. You can write on both sides of a page to answer the questions. STUDENTS NAME:________________________________________________ Last First Middle STUDENTS I.D. NO.:_______________________________________________ SECTION: L01 L02 L03 L04 Mon 9-11am Tues 9-11am Mon 1-3pm Tues 2-4pm Please circle your section QUESTION NO. MAX. MARKS MARKS OBTAINED 1 30 __________________ 2 25 __________________ 3 25 __________________ 4 20 __________________ TOTAL MARKS 100 __________________ GOOD LUCK -2 QUESTION 1: C09 Enterprises capital consists of perpetual debt with a face value of $100 million and coupon rate of 10% trading at 125% of the face value. It also has 5 million common shares outstanding. Its most recent dividend was $5. Dividends expect to decline 2% per year, and the required rate of return is 14%. C09 has corporate tax rate of 40% and equity beta of 1.25. Assume risk free rate of 4% and market risk premium of 8% C09 is considering the following 3 projects: Annual before tax Life Project Project Cost cash flows (in years) Beta A $28 million $5 million 25 1.1 B $50 million Project will offer an annual after tax rate of return of 12% 1.4 C $50 million $6 million one year from now and after 1.8 that increasing at 4% per year in perpetuity Which one(s) of the above projects C09 should undertake and why? -3 -4QUESTION 2: NoRiskNoGain Manufacturing (NRNG) an all equity firm expects EBIT of $5,000,000 next year, after that it will grow at 5% per annum. The corporate tax rate is and 40%, cost of unlevered equity is 15%. NRNG is considering replacing some of the equity with perpetual debt. It has been determined that risk of bankruptcy is a function of amount of debt. PV of bankruptcy related costs will be $20,000,000. NRNG is considering the following debt levels. Debt $15,000,000 $20,000,000 $25,000,000 Probability of Bankruptcy 0.10 0.15 0.35 a. Determine the optimal level of debt, and the value of the firm at that level. b. If personal tax rate on stock income is 30%, and the personal tax rate on bond income is 46% at what debt level value of the firm be optimal -5 -6QUESTION 3: NoHope Technologies (NT) is considering the following two machines for manufacturing widgets. LL Model SL Model Expected annual before tax cost savings $8,000 $6,000 Economic Life 8 years 4 years Price of Machine $15,000 $8,000 Both machines will be worthless at the end of their economic life. The machines have a CCA rate of 30%. NT is subject to a corporate tax rate of 40%. NT has obtained the following information for its analysis of various investments and financial proposals: Expected Covariance with Asset Return Variance Market Returns Risk free asset 0.04 Market Portfolio 0.09 0.03 FDT Common Stock 0.045 NT, an all equity firm, has a market value of $10,000,000 a. What is NTs cost of capital? b. Which of the two machines should NT purchase? c. NT is considering the sale of $2,000,000 of 6% perpetual bonds and uses the proceeds to repurchase NT stock. If this plan is adopted: 1. What is the new value of the firm? 2. What is the value of the firms equity? -8QUESTION 4: Leverage Limited (LL) and More Leverage Limited (MLL) both have the same unlevered equity beta of 1.2. The equity beta of LL is 1.89 and the equity beta of MLL is 2.05. The corporate tax rate is 40% for both companies, the expected market risk premium is 6% and the risk free rate of return is 4%. Assuming that the beta of debt is 0.4, determine the debt/equity ratio for each firm.
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