Question

Beyer Company is considering the purchase of an asset for $215,000. It is expected to produce the following net cash flows. The cash flows occur evenly throughout each year. Assume that Beyer requires a 12% return on its investments. (FV of $1, PV of $1, FVA of $1 and PVA of $1) (Use appropriate factor(s) from the tables provided.)

Year 1 Year 2 Year 3 Year 4 Year 5 Total
Net cash flows $77,000 $54,000 $82,000 $172,000 $38,000 $423,000
a. Compute the net present value of this investment.
Year Net Cash Flows Present Value of 1 at 12% Present Value of Net Cash Flows
1
2
3
4
5
Totals
Amount invested
Net present value
b. Should Beyer accept the investment?
Yes
No

Answer 1

a) Net Present Value = $ 304,495.12

b) Beyer should accept the investment.

Step-by-step explanation:

The net present value NPV) of a project is the present value of cash inflow less the present value of cash outflow of the project.

NPV = PV of cash inflow - PV of cash outflow

Year PV

1 77,000 × 1.12^(-1) = 68,750.00

2 54,000 × 1.12^(-2) = 43,048.47

3 82,000 × 1.12^(-3) = 58,365.98

4 172,000 × 1.12^(-4) = 109,309.11

5 423,000 × 1.12^(-5)= 240,021.56

Total Present Value 519,495.12

Initial cost (215,000)

Net Present Value 304,495.12

Net Present Value = $ 304,495.12

b) Decision :

Beyer should accept the investment. This will increase the wealth of the shareholders by $ 304,495.12