Question

Mr. Wise is retiring In 25 years He would like to accumulate $1,000.000 for his retirement fund by then He plans make equal monthly payments to achieve his goal If the rate of return on the retirement fund is 12% (APR), what will his monthly payments be?

Answer 1

Answer:

$532.24

Explanation:

Since Mr. Wise will be making monthly payments for the period of 25 years in order to accumulated the $1,000,000 at the end of 25 years, therefore, the future value of annuity shall be used to determine the monthly payments to be deposited by Mr Wise. The formula of future value of annuity is given as follows:

Future value of annuity=R[((1+i)^n-1)/i]

In the given scenario:

Future value of annuity=amount after 25 years=$1,000.000

R=monthly payments to be deposited by Mr Wise=?

i=interest rate per month=12/12=1%

n=number of payments involved=25*12=300

$1,000,000=R[((1+1%)^300-1)/1%]

R=$532.24