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Kinky Copies may buy a high-volume copier. The machine costs $60,000 and will be

ID: 2763294 • Letter: K

Question

Kinky Copies may buy a high-volume copier. The machine costs $60,000 and will be depreciated straight-line over 5 years to a salvage value of $10,000. Kinky anticipates that the machine actually can be sold in 5 years for $22,000. The machine will save $10,000 a year in labor costs but will require an increase in working capital, mainly paper supplies, of $5,000. The firm’s marginal tax rate is 35%, and the discount rate is 11%. (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.) NPV $ Should Kinky buy the machine? Yes No

Explanation / Answer

NPV of the project

Figures in $

Year

Particulars

Amount

P.V Factor @ 11%

Total

0

Initial investment

-60000

1

-60000

1

Saving in cost (Note 1)

5000

0.900901

4504.505

2

Saving in cost (Note 1)

5000

0.811622

4058.112

3

Saving in cost (Note 1)

5000

0.731191

3655.957

4

Saving in cost (Note 1)

5000

0.658731

3293.655

5

Saving in cost (Note 1)

5000

0.593451

2967.257

Salvage value (Note 2)

17800

0.593451

10563.43

Working capital

25000

0.593451

14836.28

NPV

-16120.80

Note 1:

Saving in cost

Amount

Saving in labour and other cost

10000

(-) Tax shield (35%)

3500

Net saving in Cost

6500

(+) Depre tax Shield [{(60000-10000)/5}*0.35]

3500

(-) Working capital

5000

Total saving in cost

5000

Note: Assuming Working capital increase every year.

Note 2:

Salvage value of asset

Amount

Salvage value

22000

(-) Capital gain {(22000-10000)*0.35}

4200

Net salvage value

17800

Answer: As NPV of project is negative, machine should not be purchased.

NPV of the project

Figures in $

Year

Particulars

Amount

P.V Factor @ 11%

Total

0

Initial investment

-60000

1

-60000

1

Saving in cost (Note 1)

5000

0.900901

4504.505

2

Saving in cost (Note 1)

5000

0.811622

4058.112

3

Saving in cost (Note 1)

5000

0.731191

3655.957

4

Saving in cost (Note 1)

5000

0.658731

3293.655

5

Saving in cost (Note 1)

5000

0.593451

2967.257

Salvage value (Note 2)

17800

0.593451

10563.43

Working capital

25000

0.593451

14836.28

NPV

-16120.80