You are going to deposit $24,500 today. You will earn an annual rate of 5.5 percent for 8 years, and then earn an annual rate of 4.9 percent for 11 years. How much will you have in your account in 19 years

Future value at the end of 19 years =$63,637.94

Explanation:

The Future value (FV) of an investment is the total amount (principal plus interest) that will accumulate in the future where interest is paid and compounded at a particular rate per period for a certain number of periods.

This can be done using the formula below

FV = PV × (1+r)^(n)

FV- Future Value

PV- amount invested, n- number of years, r - interest rate

The amount due after 19 years would be determined in two steps

Step 1: FV of 24,500 at 5.5% for 8 years

FV = 24,500× (1+0.055)^8 =37,599.819

Step 2 : FV of 37599.81962  invested for 11 years at 4.9% p.a

FV = ?  P=37,599.81,  n- 11, r- 4.9%

FV = 37,599.81 × (1.049)^11= 63,637.94

Future value at the end of 19 years =$63,637.94

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