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Suppose that you have a chance to buy some new computer equipment and software t

ID: 1092275 • Letter: S

Question

Suppose that you have a chance to buy some new computer equipment and software that will add to your future profits. It will take a year to have the package designed to your needs, installed, tested and your personnel trained to use it. After that, it will add to your profits for the following 5 years until you expect to change your hardware over again. The project is expected to make you:

Year

Year 1

Year 2

Year 3

Year 4

Year 5

Year 6

Increase in Profits

0.00

1,000,000

2,000,000

2,000,000

1,000,000

1,000,000

Present Value

Notice that the project will increase your profits a total of $7 million dollars, BUT that benefit is spread over a 6 year period while the cost is paid now. Find the present value for each year if the interest rate is 6% and then add them together for the total present value of future revenue.

Total PV = ?

If the price of the software is $5 million is it profitable to buy the software?

What is the future value in 10 years of $1 million if the interest rate is 4%?

Year

Year 1

Year 2

Year 3

Year 4

Year 5

Year 6

Increase in Profits

0.00

1,000,000

2,000,000

2,000,000

1,000,000

1,000,000

Present Value

Explanation / Answer

Year

Year 1

Year 2

Year 3

Year 4

Year 5

Year 6

Increase in Profits

0

1,000,000

2,000,000

2,000,000

1,000,000

1,000,000

PV

0

943396.2

1779993

1679239

792093.7

747258.2

Total PV = 5941980

Yes the software should be purchased as the PV of the cash flow is greater than the price of the software.

Future Value = 1000000*(1+4%)^10 = $ 1480244

Year

Year 1

Year 2

Year 3

Year 4

Year 5

Year 6

Increase in Profits

0

1,000,000

2,000,000

2,000,000

1,000,000

1,000,000

PV

0

943396.2

1779993

1679239

792093.7

747258.2

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