Question

Following is information on two alternative investments being considered by Jolee Company. The company requires a 10% return from its investments. (PV of $1, FV of $1, PVA of $1, and FVA of $1) (Use appropriate factor(s) from the tables provided.)
project a project b
Initial investment $(172,325) $ (145,96)
Expected net cash flows in:
Year 1 41,000 27,000
Year 2 47,000 52,000
Year 3 85,295 50,000
Year 4 86,400 71,000
Year 5 56,000 28,000
a. For each alternative project compute the net present value.
b. For each alternative project compute the profitability index. If the company can only select one project, which should it choose?

Answer 1

Answer:

A. NPV for A= $61,658.06

NPV  for B = $25,006.15

B.  1.36

1.17

Project A

Explanation:

Net present value is the present value of after tax cash flows from an investment less the amount invested.

NPV can be calcuated using a financial calculator

for project A :

Cash flow in

Year 0 = $(172,325)

Year 1 41,000

Year 2 47,000

Year 3 85,295

Year 4 86,400

Year 5 56,000

I = 10%

NPV = $61,658.06

for project B

year 0 = $ (145,960)

Cash flow in

Year 1  27,000

Year 2  52,000

Year 3 50,000  

Year 4 71,000

Year 5  28,000

I = 10%

NPV = $25,006.15

profitability index = 1 + NPV / Initial investment

for project A, PI = $61,658.06 / 172,325 = 1.36

For project B, PI = $25,006.15 / 145,960 = 1.17

The project with the greater NPV and PI should be chosen. this is project A.

To find the NPV using a financial calculator:

1. Input the cash flow values by pressing the CF button. After inputting the value, press enter and the arrow facing a downward direction.

2. after inputting all the cash flows, press the NPV button, input the value for I, press enter and the arrow facing a downward direction.  

3. Press compute