Academic Integrity: tutoring, explanations, and feedback — we don’t complete graded work or submit on a student’s behalf.

IBC, Inc. is considering the purchase of a $320,000 computer that has an economi

ID: 2617328 • Letter: I

Question

IBC, Inc. is considering the purchase of a $320,000 computer that has an economic life of 5 years. The computer will be depreciated according to 5-year MACRS schedule (20%, 32%, 19.2%, 11.52%, 11.52%, and 5.76%). The market value of the computer will be $60,000 in 5 years. The use of computer will save annual costs of $120,000 for the next five years. For simplicity, these cost savings are assumed to occur at the end of these years. As a result of this project, the net working capital will increase by $60,000 immediately, and it will be recovered at the end of year 5. The firm’s tax rate is 40% and its cost of capital is 12%. | What is the initial investment requirement (t=0)? What is the operating cash for one, two, three and four and five years? How much tax is the firm expected to pay when the asset is sold for $60,000 in year 5?

What is the project's NPV?

Explanation / Answer

1. Intially Requirement (t=0)

= Cost of Computer + Increase in Working Capital = $ 320,000 + $ 60,000

= $ 380,000

2. Operating Cash Flows ( Amount in $ )

5

120,000

14,337

105,663

42,265

77,735

3. Tax Expected to pay when the asset is sold for $60,000

Depreciation schedule.

         110,116

Closing Book Value = $ 110,116

Sale Value $ 60,000

Since there is a loss of $ 50,116 ( $60,000- 110,116) on sale , firm is not required to pay any tax.

4. PROJECT NPV

Year 0 1 2 3 4 5

a)Initial Outflow -380,000

b)Operating Cash Flows 97,600 104,768 85,369 78,481 77,735

c)Salvage Value 60,000

d)Working Capital Recovery 60,000

e)Total Cash flows -380,000 97,600 104,768 85,369 78,481 197,735

(a+b+c+d)

f)PVF@ 12% 1 0.893 0.797 0.712 0.636 0.567

g)Present Value -380,000 87,143 83,520 60,764 49,876 112,200

(e x g)

Net Present Value = -380,000 + 87,143 + 83,520 + 60,764 + 49,876 + 112,200

= $ 13,504


Year/Particulars 1 2 3 4   

5