Zoso is a rental car company that is trying to determine whether to add 25 cars

Question

Zoso is a rental car company that is trying to determine whether to add 25 cars to its fleet. The company fully depreciates all its rental cars over five years using the straight-line method. The new cars are expected to generate $155,000 per year in earnings before taxes and depreciation for five years. The company is entirely financed by equity and has a 38 percent tax rate. The required return on the company’s unlevered equity is 10 percent, and the new fleet will not change the risk of the company. The risk-free rate is 6 percent.

a. What is the maximum price that the company should be willing to pay for the new fleet of cars if it remains an all-equity company? (Do not round intermediate calculations and round your answer to 2 decimal places, e.g., 32.16.)

Maximum price $ _______

b. Suppose the company can purchase the fleet of cars for $445,000. Additionally, assume the company can issue $365,000 of five-year debt at the risk-free rate of 6 percent to finance the project. All principal will be repaid in one balloon payment at the end of the fifth year. What is the adjusted present value (APV) of the project? (Do not round intermediate calculations and round your answer to 2 decimal places, e.g., 32.16.)

APV $______

Explanation / Answer

Maximum price is the price at which the NPV = 0

We get that at max price = 511,721 for the new fleet.

With 445,000, NPV (unlevered) = $47,499.02

=> APV = NPV (unlevered) + PV (interest tax shield) = 47,499.02 + 365,000 x 38% = $186,199.02

Car 0 1 2 3 4 5 Investment -511721 EBITDA 155000 155000 155000 155000 155000 Depreciation -102344 -102344 -102344 -102344 -102344 EBT 52655.8 52655.8 52655.8 52655.8 52655.8 Tax (38%) -20009.2 -20009.2 -20009.2 -20009.2 -20009.2 Net Income 32646.6 32646.6 32646.6 32646.6 32646.6 Cash Flows -511721 134990.8 134990.8 134990.8 134990.8 134990.8 NPV $0.32

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