Question

$3,250 is withdrawn at the end of every month from an account paying 4.1% compounded monthly. Determine the previous value of the account, given that withdrawals are made from the account for 30 years. Round to the nearest cent.

Answer 1

The amount needed such that when it comes time for retirement is $2,296,305. This problem solved using the future value of an annuity formula by calculating the sum of a series payment through a specific amount of time. The formula of the future value of an annuity is FV = C*(((1+i)^n - 1)/i), where FV is the future value, C is the payment for each period, n is the period of time, and i is the interest rate. The interest rate used in the calculation is 4.1%/12 and the period of time used in the calculation is 30*12 because the basis of the return is a monthly payment.

FV = $3,250*(((1+(4.1%/12)^(30*12)-1)/(4.1%/12))