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Whoopie Cushions, Inc. is analyzing the proposed purchase of a new machine for $

ID: 2751920 • Letter: W

Question

Whoopie Cushions, Inc. is analyzing the proposed purchase of a new machine for $550,000. The proposed machine has an estimated economic life of six years but will be treated as five-year MACRS property for depreciation purposes. The machine will increase the firm's capacity, and it is expected to contribute $176,000 annually to earnings before depreciation, interest and taxes. The firm is in a 30% tax bracket and estimates its cost of capital to be 16%. Calculate the NPV of this investment using an Excel spreadsheet. Show and label your work. Formulas for NPV and IRR are preprogrammed in Excel.

Explanation / Answer

Initial cash outflow = 550000

From year 1, positive cash flows generated = 176,000

These cash flows have to considered after tax (Calculations done in below table)

Since machine is depreciated using MACRS 5 year method, machine is depreciated 20%, 32%, 19.2%, 11.52%, 11.52% and 5.76% from year 1 till year 6 respectively

On the depreciated value, the company will get a positive depreciation tax shield

All the cash flows are calculated in below table

NPV can be calculated as

NPV =NPV(16%,G3:G8) - 550000 = $15,391.52

IRR can be calculated as follows

IRR = IRR(G2:G8) = 17.09%

Year Cash flow Tax Rate After tax Cash Flow Machine Depreciation value Depreciation Tax Shield Total net cash flows 0         (550,000.00) 30%          (550,000.00)                          -                              -           (550,000.00) 1            176,000.00 30%            123,200.00        110,000.00            33,000.00            156,200.00 2            176,000.00 30%            123,200.00        176,000.00            52,800.00            176,000.00 3            176,000.00 30%            123,200.00        105,600.00            31,680.00            154,880.00 4            176,000.00 30%            123,200.00          63,360.00            19,008.00            142,208.00 5            176,000.00 30%            123,200.00          63,360.00            19,008.00            142,208.00 6            176,000.00 30%            123,200.00          31,680.00               9,504.00            132,704.00