3. Assume you can earn 9% per year on your investments. a. If you invest $100,000 for retirement at age 30, how much will you have 35 years later for retirement? ( $2,041,397) b. If you wait until age 40 to invest the $100,000, how much will you have 25 years later for retirement? ( $862,308) c. Why is the difference so large?

Results are below.

Explanation:

Giving the following information:

Interest rate= 9%

To calculate the future value, we need to use the following formula:

FV= PV*(1+i)^n

a)

PV= $100,000

n= 35

i= 0.09

FV= 100,000*(1.09^35)

FV= $2,041,396.79

b)

PV= $100,000

n= 25

i= 0.09

FV= 100,000*(1.09^25)

FV= $862,308.07

There is a big difference between investing at 30 than at 40. It is due to the compounding interest of the first 10 years.

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