Question

You have just deposited $9,000 into an account that promises to pay you an annual interest rate of 6.1 percent each year for the next 7 years. You will leave the money invested in the account and 15 years from today, you need to have $25,650 in the account. What annual interest rate must you earn over the last 8 years to accomplish this goal

Answer 1

Annual interest rate = 8.23%

Step-by-step explanation:

The annual interest rate i must have earn over the last 8 years to accomplish this goal is:

= ((25650/(9000*(1+6.1%)^7))^(1/8))-1

= ((25650/(9000*1.513588))^(1/8)) - 1

= ((25650/13622.29)^(1/8) - 1

= 1.882943323038931^(1/8) - 1

= 1.08231743862 - 1

= 0.08231743862

= 8.231743862%

= 8.23%