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Kolby’s Korndogs is looking at a new sausage system with an installed cost of $5

ID: 2715425 • Letter: K

Question

Kolby’s Korndogs is looking at a new sausage system with an installed cost of $538,000. This cost will be depreciated straight-line to zero over the project’s four-year life, at the end of which the sausage system can be scrapped for $114,000. The sausage system will save the firm $202,000 per year in pretax operating costs, and the system requires an initial investment in net working capital of $60,000. If the tax rate is 40 percent and the discount rate is 9 percent, what is the NPV of this project?

Explanation / Answer

Solution :

Step 1 : Initial Outflow

a. Capital Expenditure $ 538,000

b. Working Capital $ 60,000

c. Net Investment(a+b) = $ 598,000

Step 2: Operating Flows( in $)

a. Annual Savings 202,000

b. Depreciation       106,000

c. Profit Before Tax (a-b) 96,000

d. Tax (40%)    38,400

e. Profit After Tax9 c-d) 57,600

f. CFAT (e+b) 163,600

Depreciation = [ (Original Cost- Salvage Value) /Life]

                    = [ (538,000-114,000) / 4]

                   = 106,000

c. Terminal Flow (in $)

a. Net sale Value of the sausage system   114,000

b. Recapture of Working Capital                 60,000

c. Net Terminal Value (a+b)                        174,000

Step 4: Capital Budgetiing Analysis Statement (in $)

Year         Cash Flow          Discounting Factor (9%)       Discounted Cash Flow

0               (538,000)                             1                             (538,000)

1-4            163,600                               3.2387                     529,851.32

4               174,000                              0.708                         123,192
                                            

                                              NPV                                       115,043.32