Question

You are saving for retirement. To live​ comfortably, you decide you will need to save $ 2 million by the time you are 65. Today is your 29 th ​birthday, and you​ decide, starting today and continuing on every birthday up to and including your 65 th ​birthday, that you will put the same amount into a savings account. If the interest rate is 7 %​, how much must you set aside each year to make sure that you will have $ 2 million in the account on your 65 th ​birthday?

Answer 1

Annual deposit= $12,473.70

Step-by-step explanation:

Giving the following information:

Final value= $2,000,000

Number of years= 37

Interest rate= 7%

To calculate the annual deposit required to reach the final value. We need to use the following formula:

FV= {A*[(1+i)^n-1]}/i

A= annual deposit

Isolating A:

A= (FV*i)/{[(1+i)^n]-1}

A= {2,000,000*0.07)/ [(1.07^37) - 1]

A= $12,473.70