Question

Below is a table for the present value of $1 at Compound interest.

Year 6% 10% 12%
1 0.943 0.909 0.893
2 0.890 0.826 0.797
3 0.840 0.751 0.712
4 0.792 0.683 0.636
5 0.747 0.621 0.567

Below is a table for the present value of an annuity of $1 at compound interest.

Year 6% 10% 12%
1 0.943 0.909 0.893
2 1.833 1.736 1.690
3 2.673 2.487 2.402
4 3.465 3.170 3.037
5 4.212 3.791 3.605

Using the tables provided, if an investment is made now for $23,700 that will generate a cash inflow of $7,900 a year for the next 4 years, the net present value (rounded to the nearest dollar) of the investment, assuming an earnings rate of 10%, is:________

Answer 1

Answer: $‭1,343‬

Explanation:

Net Present Value = Present value of Cash inflows - Present value of Cash outflows

Cash inflows are constant and so are an annuity.

Present value of Cash inflows = Annuity * Present value interest factor of annuity, 4 years, 10%

= 7,900 * 3.170

= $‭25,043‬

Net Present Value = ‭25,043‬ - 23,700

= $‭1,343‬