As part of her retirement planning, Mrs. Campbell purchases an annuity that pays compounded quarterly. If the quarterly payment is $3,500, how much will Mrs. Campbell have saved in 5 years?

$88289.8

Explanation:

Here's the complete question:

As part of her retirement planning, Mrs. Campbell purchases an annuity that pays 9.5% compounded quarterly. If the quarterly payment is $3,500, how much will Mrs. Campbell have saved in 5 years?

The future value of an annuity will be calculated using the formula:

= A((1+r)^n)-1)/r

Where,

A = the annuity payment = 3500

r = the interest rate = 9.5% compounded quarterly = 9.5% / 4 = 0.095 / 4 = 0.2375

n = the number of time periods = 4 × 5 = 20

We then substitute the values and we will get:

= A((1+r)^n)-1)/r

= 3000 × (1.02375^20-1) / 0.02375

= $88289.8

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