Question

The following present value factors are provided for use in this problem.

Answer 1

Answer:

$7,213.40

Explanation:

The computation of the net present value is shown below:

= Present value of all yearly cash inflows after applying discount factor - initial investment

where,  

Initial investment is $50,000

And, the present value till 3 year would be

= Annual cash flows × PVIFA factor for 3 years at 12%

= $18,000 × 2.4018

= $42,232.40

And, the present value for fourth year would be

= Annual cash flows × present value factor

= $22,000 × 0.6355

= $13,981

So, the total present value would be

= $43,232.40 + $13,981

= $57,213.40

Since the annual cash flows are same for the three years so we use the PVIFA table

Refer to the PVIFA table

Now put these values to the above formula

So, the value would be equal to

= $57,213.40 - $50,000

= $7,213.40