Question

Two annuities have equal present values and an applicable discount rate of 7.25 percent. One annuity pays $2,500 on the first day of each year for 15 years. How much does the second annuity pay each year for 15 years if it pays at the end of each year

Answer 1

Answer:

$2681.30 approx.

Explanation:

The first annuity is case of annuity due

For the first annuity, $2500 + 2500 × cumulative present value factor at 7.25% for 14 years

= $2500 + 8.6158 × 2500

= $24040 approx

The second annuity is the case of deferred annuity wherein payments are made at the end of the year.

Payment amount of second annuity = Present Value of first annuity ÷ cumulative present value annuity factor at 7.25% for 15 years

This will be equal to 24,040/8.9658 = $2681.30 approx.