Question

You are told that if you invest $11,000 per year for 23 years( all payments made at the end of each year) you will have accumulated $366,000 at the end of the period What annual rate of return is the investment offering.

Answer 1

3.2%

Step-by-step explanation:

this is an ordinary annuity:

future value of an ordinary annuity = annual payment x future value annuity factor

$366,000 = $11,000 x future value annuity factor

future value annuity factor = $366,000 / $11,000 = 33.2727

you can solve this in two ways:

the first is with a lot of math work in order to solve the following equation

33.2727 = [(1 + i)²³ - 1] / i

or

you can use an annuity calculator (available online) which will yield 3.2%