# Homework Solutions Ch12 ESTIMATING CASH FLOWS ON CAPITAL BUDGETING PROJECTS

Your Company is considering a new project that will require $1,000,000 of new equipment at the start of the project. The equipment will have a depreciable life of 10 years and will be depreciated to a book value of $150,000 using straight-line depreciation. The cost of capital is 13%, and the firm’s tax rate is 34%. Estimate the present value of the tax benefits from depreciation.

You are trying to pick the least-expensive car for your new delivery service. You have two choices: the Scion xA, which will cost $14,000 to purchase and which will have OCF of -$1,200 annually throughout the vehicle’s expected life of three years as a delivery vehicle; and the Toyota Prius, which will cost $20,000 to purchase and which will have OCF of -$650 annually throughout that vehicles expected four-year life. Both cars will be worthless at the end of their life. If you intend to replace whichever type of car you choose with the same thing when its life runs out, again and again out into the foreseeable future, and if your business has a cost of capital of 12 percent, which one should you choose?

You are evaluating two different cookie-baking ovens. The Pillsbury 707 costs $57,000, has a five-year life, and has an annual OCF (after tax) of -$10,000 per year. The Keebler CookieMunster costs $90,000, has a seven-year life, and has an annual OCF (after tax) of -$8,000 per year. If your discount rate is 12 percent, what is each machine’s EAC?

You are considering the purchase of one of two machines used in your manufacturing plant. Machine A has a life of two years, costs $80 initially, and then $125 per year in maintenance costs. Machine B costs $150 initially, has a life of three years, and requires $100 in annual maintenance costs. Either machine must be replaced at the end of its life with an equivalent machine. Which is the better machine for the firm? The discount rate is 12% and the tax rate is zero.

KADS, Inc. has spent $400,000 on research to develop a new computer game. The firm is planning to spend $200,000 on a machine to produce the new game. Shipping and installation costs of the machine will be capitalized and depreciated; they total $50,000. The machine has an expected life of 3 years, a $75,000 estimated resale value, and falls under the MACRS 7-Year class life. Revenue from the new game is expected to be $600,000 per year, with costs of $250,000 per year. The firm has a tax rate of 35 percent, an opportunity cost of capital of 15 percent, and it expects net working capital to increase by $100,000 at the beginning of the project. What will the cash flows for this project be?

Your firm needs a computerized machine tool lathe which costs $50,000, and requires $12,000 in maintenance for each year of its 3 year life. After 3 years, this

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machine will be replaced. The machine falls into the MACRS 3-year class life category. Assume a tax rate of 35% and a discount rate of 12%. Calculate the depreciation tax shield for this project in year 3.

If the lathe in the previous problem can be sold for $5,000 at the end of year 3, what is the after tax salvage value?

You have been asked by the president of your company to evaluate the proposed acquisition of a new special-purpose truck for $60,000. The truck falls into the MACRS three-year class, and it will be sold after three years for $20,000. Use of the truck will require an increase in NWC (spare parts inventory) of $2,000. The truck will have no effect on revenues, but it is expected to save the firm $20,000 per year in before-tax operating costs, mainly labor. The firm’s marginal tax rate is 40 percent. What will the cash flows for this project be?

You are evaluating a project for The Tiff-any golf club, guaranteed to correct that nasty slice. You estimate the sales price of The Tiff-any to be $400 per unit and

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sales volume to be 1000 units in year 1; 1500 units in year 2; and 1325 units in year 3. The project has a three-year life. Variable costs amount to $225 per unit and fixed costs are $100,000 per year. The project requires an initial investment of $165,000 in assets which will be depreciated straight-line to zero over the three-year project life. The actual market value of these assets at the end of year 3 is expected to be $35,000. NWC requirements at the beginning of each year will be approximately 20 percent of the projected sales during the coming year. The tax rate is 34 percent and the required return on the project is 10 percent. What change in NWC occurs at the end of year 1?

Continuing the previous problem, what is the operating cash flow for the project in year 2?

You are evaluating a project for The Ultimate recreational tennis racket, guaranteed to correct that wimpy backhand. You estimate the sales price of The Ultimate to be $400 per unit and sales volume to be 1,000 units in year 1; 1,250 units in year 2; and 1,325 units in year 3. The project has a 3 year life. Variable costs amount to $225 per unit and fixed costs are $100,000 per year. The project requires an initial investment of $165,000 in assets which will be depreciated straight-line to zero over the 3 year project life. The actual market value of these assets at the end of year 3 is expected to be $35,000. NWC requirements at the beginning of each year will be approximately 20% of the projected sales during the coming year. The tax rate is 34% and the required return on the project is 10%. What will the cash flows for this project be?