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Kinky Copies may buy a high-volume copier. The machine costs $90,000 and will be

ID: 2732608 • Letter: K

Question

Kinky Copies may buy a high-volume copier. The machine costs $90,000 and will be depreciated straight-line over 5 years to a salvage value of $16,000. Kinky anticipates that the machine actually can be sold in 5 years for $24,000. The machine will save $16,000 a year in labor costs but will require an increase in working capital, mainly paper supplies, of $8,000. The firm’s marginal tax rate is 35%, and the discount rate is 7%. (Assume the net working capital will be recovered at the end of Year 5.)

  

Calculate the NPV. (Negative amount should be indicated by a minus sign. Do not round intermediate calculations. Round your answer to 2 decimal places.)

Kinky Copies may buy a high-volume copier. The machine costs $90,000 and will be depreciated straight-line over 5 years to a salvage value of $16,000. Kinky anticipates that the machine actually can be sold in 5 years for $24,000. The machine will save $16,000 a year in labor costs but will require an increase in working capital, mainly paper supplies, of $8,000. The firm’s marginal tax rate is 35%, and the discount rate is 7%. (Assume the net working capital will be recovered at the end of Year 5.)

Explanation / Answer

NPV is $4,905

Year Pre Tax CF Add Depreciation Post Tax CF
(100%-35%) DF @ 7% DCF 0      (98,000)                                 -              (98,000)     1.0000 (98,000) 1        16,000                        14,800              20,020     0.9346     18,710 2        16,000                        14,800              20,020     0.8734     17,486 3        16,000                        14,800              20,020     0.8163     16,342 4        16,000                        14,800              20,020     0.7629     15,273 5        16,000                        14,800              20,020     0.7130     14,274 5        32,000                                 -                29,200     0.7130     20,819        4,905