Pinto.com has developed a powerful new server that would be used for corporations’ Internet activities. It would cost $25 million at Year 0 to buy the equipment necessary to manufacture the server. The project would require net working capital at the beginning of each year in an amount equal to 12% of the year’s projected sales; for example, NWC0 = 12%(Sales1 ). The servers would sell for $21,000 per unit, and Pinto believes that variable costs would amount to $15,000 per unit. After Year 1, the sales price and variable costs will increase at the inflation rate of 2.5%. The company’s nonvariable costs would be $1.5 million at Year 1 and would increase with inflation. The server project would have a life of 4 years. If the project is undertaken, it must be continued for the entire 4 years. Also, the project’s returns are expected to be highly correlated with returns on the firm’s other assets. The firm believes it could sell 2,000 units per year. The equipment would be depreciated over a 5-year period, using MACRS rates. The estimated market value of the equipment at the end of the project’s 4-year life is $1 million. Pinto.com’s federal-plus-state tax rate is 20%. Its cost of capital is 10% for average-risk projects, defined as projects with a coefficient of variation of NPV between 0.8 and 1.2. Low-risk projects are evaluated with an 8% project cost of capital and high-risk projects at 13%. Now conduct a sensitivity analysis to determine the sensitivity of NPV to changes in the sales price, variable costs per unit, and number of units sold. Set these variables’ values at 10% and 20% above and below their base-case values.

Essentials Of Investments
11th Edition
ISBN:9781260013924
Author:Bodie, Zvi, Kane, Alex, MARCUS, Alan J.
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Chapter1: Investments: Background And Issues
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Pinto.com has developed a powerful new server that would be used for corporations’ Internet activities. It would cost $25 million at Year 0 to buy the equipment necessary to manufacture the server. The project would require net working capital at the beginning of each year in an amount equal to 12% of the year’s projected sales; for example, NWC0 = 12%(Sales1 ). The servers would sell for $21,000 per unit, and Pinto believes that variable costs would amount to $15,000 per unit. After Year 1, the sales price and variable costs will increase at the inflation rate of 2.5%. The company’s nonvariable costs would be $1.5 million at Year 1 and would increase with inflation. The server project would have a life of 4 years. If the project is undertaken, it must be continued for the entire 4 years. Also, the project’s returns are expected to be highly correlated with returns on the firm’s other assets. The firm believes it could sell 2,000 units per year. The equipment would be depreciated over a 5-year period, using MACRS rates. The estimated market value of the equipment at the end of the project’s 4-year life is $1 million. Pinto.com’s federal-plus-state tax rate is 20%. Its cost of capital is 10% for average-risk projects, defined as projects with a coefficient of variation of NPV between 0.8 and 1.2. Low-risk projects are evaluated with an 8% project cost of capital and high-risk projects at 13%.
  1. Now conduct a sensitivity analysis to determine the sensitivity of NPV to changes in the sales price, variable costs per unit, and number of units sold. Set these variables’ values at 10% and 20% above and below their base-case values.
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