Question

Florida Car Wash is considering a new project whose data are shown below. The equipment to be used has a 3-year tax life, would be depreciated on a straight-line basis over the project's 3-year life, and would have a zero salvage value after Year 3. No change in net operating working capital would be required. Revenues and other operating costs will be constant over the project's life, and this is just one of the firm's many projects, so any losses on it can be used to offset profits in other units. If the number of cars washed declined by 40% from the expected level, by how much would the project's NPV change? (Hint: Note that cash flows are constant at the Year 1 level, whatever that level is.) Do not round the intermediate calculations and round the final answer to the nearest whole number. WACC 10.0% Net investment cost (depreciable basis) $60,000 Number of cars washed 2,640 Average price per car $25.00 Fixed op. cost (excl. depr.) $10,000 Variable op. cost/unit (i.e., VC per car washed) $5.375 Annual depreciation $20,000 Tax rate 35.0% Select one:

a. -$33,499

b. -$28,474

c. -$33,834

d. -$38,859

e. -$31,154

Answer 1

Units 2,640.00 2,640.00 2,640.00 Sales Variable cost Fixed cost Depreciation PBT Taxes PAT add:dep 66,000.00 14,190.00 10,000.00 20,000.00 21,810.00 7,633.50 14,176.50 (60,000.00) 34,176.50 66,000.00 14,190.00 10,000.00 20,000.00 21,810.00 7,633.50 14,176.50 34,176.50 66,000.00 14,190.00 10,000.00 20,000.00 21,810.00 7,633.50 14,176.50 34,176.50 NPV 24,991.90 Units 1,584.00 1,584.00 1,584.00 Sales Variable cost Fixed cost Depreciation PBT Taxes PAT add:dep 39,600.00 8,514.00 10,000.00 20,000.00 1,086.00 380.10 705.90 (60,000.00) 20,705.90 39,600.00 8,514.00 10,000.00 20,000.00 1,086.00 380.10 705.90 20,705.90 39,600.00 8,514.00 10,000.00 20,000.00 1,086.00 380.10 705.90 20,705.90 NPV (8,507.49) Change in NPV = (-8507.49)-24991.9 -33499 hence answer A is correct