Derek will deposit $8,356.00 per year for 29.00 years into an account that earns 9.00%, The first deposit is made next year. How much will be in the account 38.00 years from today?

Respuesta :

Answer:

The final value is $2,252,850.70

Explanation:

Giving the following information:

Derek will deposit $8,356.00 per year for 29.00 years into an account that earns 9.00%, The first deposit is made next year.

First, we need to calculate the final value of the first 29 years using the following formula:

FV= {A*[(1+i)^n-1]}/i

A= annual deposit

FV= {8,356*[(1.09^29)-1]}/0.09= 1,037,275.04

Now, we can calculate the final value of the following 9 years at an interest rate of 9%.

FV= PV*(1+i)^n

FV= 1,037,275.04*(1.09^9)= $2,252,850.70