Question

Del Monty will receive the following payments at the end of the next three years: $8,000, $11,000, and $13,000. Then from the end of the 4th year through the end of the 10th year, he will receive an annuity of $14,000 per year. At a discount rate of 12 percent, what is the present value of all three future benefits

Answer 1

Answer: $70,643

Explanation:

The payment from the 4th year to the 10th year is an annuity because it is constant.

The present value of an annuity is:

= Annuity * Present value interest factor of annuity, 12%, 7 years

= 14,000 * 4.5638

= $63,893.20

Present value of these:

= 8,000 / 1.12 + 11,000 / 1.12² + 13,000/1.12³ + 63,893.20 / 1.12³

= $70,643