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
