Use the ordinary annuity formula to determine the accumulated amount in the annuity. Round to the nearest cent.

​$1000 invested annually for 10 years at 9 ​% interest compounded annually

1 answer

We can use the formula for the future value of an ordinary annuity:

FV = PMT * [((1+r)^n - 1) / r]

where:

PMT = the periodic payment
r = the interest rate per period
n = the number of periods

In this case, PMT = $1000 (the annual payment), r = 0.09 (9% per year, compounded annually), and n = 10 (the number of years).

Plugging in these values, we get:

FV = $1000 * [((1+0.09)^10 - 1) / 0.09] ≈ $16,386.45

Therefore, the accumulated amount in the annuity is approximately $16,386.45.