Question

please solve and show equations

315 A firm is considering investing $250,000 ir as a 3-year MACRS (GDS) property. The firm is expected to have a before-tax casn 00 in car-washing equipment. They will depreciate the equipment per year (revenues less operating expenses) for each year of the year su effective income tax rate is 30%. If the equirment can be sold for $50,000 at penses) for each year of the 5 year study period. The firm's the equipment can be sold for $50,000 at the end of 5 years and the after-tax MARR = 10%, do you recommend this investment on an you recommend this investment on an after-tax basis? Why or why not? You can use the following table to record the results of your calcul ale to record the results of your calculations. Be sure to include representative equations below (if you want to earn partial credit below (if you want to earn partial credit I need to know how you got your numbers). Before-Tax After-Tax Taxable Year Cash Flow Depreciation Income Tax Cash Flow Cash Flow

Answer 1

Below is the calculation of NPV for the above project:

Depreciation Taxable Income Tax Cash flow (Value of investment Depr (Before tax cash flow After tax Cash flow (Taxable Present Value of after tax cash flow @30% (After tax cash flow/(1+MARR) ^year (250,000.00) Year income-Tax+Depreciation) Before Tax Cash Flow Depreciation Rate eciation rate) depreciation) (250,000.00) (250,000.00) (250,000.00) 0% 33.33% 1 90,000.00 83,325.00 6,675.00 2,002.50 87,997.50 79,997.73 90,000.00 111,125.00 (21,125.00) 52,975.00 90,000.00 2 44.45% 74,380.17 74,107.50 3 90,000.00 14.81% 37,025.00 15,892.50 55,678.06 18,525.00 71,475.00 4 90,000.00 7.41% 21,442.50 68,557.50 46,825.69 27,000.00 5 90,000.00 0.00% 90,000.00 63,000.00 39,118.04 Total (NPV) 45,999.69 O HNmM n

As the NPV of after tax cash flow is $45999.69 i.e. more than zero, the firm should invest in the project.