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1. Assume that you are the chief financial officer at Porter Memorial Hospital.

ID: 2761181 • Letter: 1

Question

1. Assume that you are the chief financial officer at Porter Memorial Hospital. The CEO has asked you to analyze two proposed capital investments—Project X and Project Y. Each project requires a net investment outlay of $10,000, and the cost of capital for each project is 12 percent.

The projects’ expected net cash flows are:

Year

Project X

Project Y

0

($10,000)

($10,000)

1

5,500

3,000

2

3,000

3,000

3

3,000

3,000

4

2,000

3,000

a. Calculate each project’s payback period and net present value.

b. Which project (or projects) is financially acceptable? Explain your answer.

Year

Project X

Project Y

0

($10,000)

($10,000)

1

5,500

3,000

2

3,000

3,000

3

3,000

3,000

4

2,000

3,000

Explanation / Answer

Project X

Payback period is the time by which undiscounted cashflow cover the intial investment outlay

this is happening between year 2 and 3

there fore payback period = 2 + (0-(-1500))/(1500-(-1500)) = 2.5years

Project Y

Payback period is the time by which undiscounted cashflow cover the intial investment outlay

this is happening between year 3 and 4

there fore payback period = 3 + (0-(-1000))/(2000-(-1000)) =3.33years

b

Project X is acceptable as its NPV is postive and higher and payback period is lesser than Project Y

Year Cash flow stream Cumulative cash flow 0 -10000 -10000 1 5500 -4500 2 3000 -1500 3 3000 1500 4 2000 3500