Answer: $88289.8
Step-by-step 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