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MissTica
3 years ago
11

A company is considering the purchase of new equipment for $57,000. The projected annual net cash flows are $23,400. The machine

has a useful life of 3 years and no salvage value. Management of the company requires a 8% return on investment. The present value of an annuity of 1 for various periods follows:
Periods Present value of an annuity of 1 at 12%
1 0.8929
2 1.6901
3 2.4018
What is the net present value of this machine assuming all cash flows occur at year-end?
a. $30,000
b. $4,500
c. $(4,736)
d. $34,500
e. $82,862
Business
1 answer:
lina2011 [118]3 years ago
4 0

Answer:

Net Present Value = $3,304.069

Explanation:

<em>To determine whether or not the investment was right, we will need to determine the net present value of the investment (NPV). </em>

<em>The NPV is the difference between the present value PV of cash inflows and the PV of cash outflows. A positive NPV implies a good investment decision and a negative figure implies the opposite. </em>

NPV of an investment(NPV)

NPV = PV of Cash inflows - PV of cash outflow

The cash inflow is an annuity.

PV of annuity= A× 1 -(1+r)^(-n)/r

A- Annual cash flow ,- 23,400 r - discount rate - 8%, number of years- 3

Present Value of cash inflow =23,400 × (1- (1.08)^(-3)/0.08 = 60,304.06

Initial cost = 57,000

Net Present Value = 60,304.06 - 57,000 = 3,304.069

Net Present Value = $3,304.069

<em>Kindly note that a discount rate of 8% was used as it is the opportunity cost of capital for the investment.</em>

     

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