ASSIGNMENT 4MGF 301Corporation FinanceSpring 2010DUE: Tuesday, April 6th at 3:00pm in Jacobs 365 You may work in a group of up to 4 on this Assignment. Please indicate clearly on all submitted Assignments who the members of the group are. Please note, all assignments submitted with more than 4 group members will automatically receive a 0 grade. No late assignments will be accepted. You may hand in the assignment in person in Jacobs 365 (put it under the door if no one is there) or submit it by email to the Digital Dropbox on UBLearns before the time it is due. All email submissions must be to the Digital Dropbox (go to Control Panel, Digital Dropbox and hit “Send file”). Note: Do not use the “#” symbol in your file name!________________________________________________________________________________________________________Answer all of the following questions. For each answer, show your work to get full points (stating the answer alone is not sufficient).1. Suppose Palmer Paving invests $3 million today (i.e., C0 = -3,000,000) on a new project that is expected to last for 12 years. The project is expected to generate annual cash flows of C1 = -250,000; C2 = 400,000, C3 = 500,000 and then $600,000 for period C4through C12. If the discount rate is 9% and management’s payback period cutoff is 6 years: (a) What is the payback period for the project? Show your work(b) What is the net present value of the project ? Show your work(c) What is the internal rate of return on the project ? Show your work(d) Under which method(s) above should the company accept the project (applying the acceptance rules)? Explain2. The company is choosing between machine A and B (they are mutually exclusive and the company can only pick one). The initial cost of machine A is $800,000 and it will last for 7 years before it needs to be replaced. The cost of operating machine A each year is $120,000. The initial cost of Machine B is $600,000 and it will last for 5 years before it needs to be replaced. The cost of operating machine B is $150,000 in cash flow per year. If the required rate of return is 10%, (a) Calculate the 7 year and 5 year annuity factors at 10% annual interest.(b) Using the annuity factors, find the PV of Machine A and Machine B including all costs (initial + operating).(c) Which machine is a better choice for the company after considering the different lives of the projects? (Note: be sure to use the equivalent annual annuity method) 3. BMT has developed a new product. It can go into production for an initial investment of $2,000,000. The equipment will be depreciated using straight-line depreciation over 4 years to a value of zero. The firm believes that net working capital at each date will equal 10 percent of next year’s forecast sales. The firm estimates that variable costs are equal to50% of sales and fixed costs are $150,000 per year. Sales forecasts in dollars are below. The project will come to an end after 4 years, when the product becomes obsolete. The firm’s tax rate is 35 percent, and the required return on capital is 12 percent. Calculate theNPV.Year 0 1 2 3 4 Sales forecast (in $): 0 1,800,000 1,900,000 2,000,000 2,100,0004. In problem 3, perform sensitivity analysis on the following assumptions and find the revised NPV(a) sales are 10% lower each year than predicted above(b) working capital equals 15% of next year’s forecast sales instead of
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