You are saving for retirement. To live comfortably, you decide you will need to save $ 1million 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 8 % , how much must you set aside each year to make sure that you will have $ 1million in the account on your 65 th birthday?

Monthly pay = 5344.67

Explanation:

Giving the following information:

To live comfortably, you decide you will need to save $ 1million by the time you are 65.

Today is your 29th birthday, and you decide to put the same amount into a savings account. If the interest rate is 8% .

How much must you set aside each year?

n = 36

i = 0.08

FV = 1,000,000

We need to use the following formula:

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

We need to isolate A (monthly pay):

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

A = (1000000*0.08) / (1.08^36-1)

A = 80000/14.96817184

A = 5344.67