Question

Retirement Investment Advisors, Inc., has just offered you an annual interest rate of 4.1 percent until you retire in 45 years. You believe that interest rates will increase over the next year and you would be offered 4.7 percent per year one year from today. If you plan to deposit $11,500 into the account either this year or next year, how much more will you have when you retire if you wait one year to make your deposit

Answer 1

Answer:

If you wait one year, in 45 years you will have $16,624.04 more than investing today.

Explanation:

Giving the following information:

Option 1:

Initial investment= $11,500

Number of years= 45

Interest rate= 4.1%

Option 2:

Initial investment= $11,500

Number of years= 44

Interest rate= 4.7%

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

FV= PV*(1+i)^n

Option 1:

FV= 11,500*(1.041^45)= $70,142.41

Option 2:

FV= 11,500*(1.047^44)

FV= $86,766.45

If you wait one year, in 45 years you will have $16,624.04 more than investing today.