Question

Your grandfather put some money into an account for you on the day you were born. You are now 18 years old and are allowed to withdraw the money. The account currently has $ 4 comma 909 in it and pays an interest rate of 3 %. a. How much money would be in the account if you left the money there until your 25th​ birthday? b. What if you left the money until your 65th​ birthday? c. How much money did your grandfather originally put into the​ account?

Answer 1

Instructions are below.

Step-by-step explanation:

Giving the following information:

Value at 18= $4,909

Interest rate= 3%

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

FV= PV*(1+i)^n

A) Number of years= 7

FV= 4,909*(1.03^7)= $6,307.45

B) Number of years= 47

FV= 4,909*(1.03^47)= $19,694.39

C) Finally, we need to determine the original investment. We need to isolate the present value from the formula:

PV= FV/(1+i)^n

PV= 4,909/(1.03^18)

PV= $2,883.52