Question

pproximately how much should be accumulated by the beginning of retirement to provide a $2,500 monthly check that will last for 25 years, during which time the fund will earn 6% interest with monthly compounding?

Answer 1

Answer:

$388,017.16

Explanation:

The amount that shall be accumulated at the beginning of retirement to provide a $2,500 for the period of 25 years shall be determined through the present value of annuity formula which is mentioned below:

Amount that should be accumulated=R[(1-(1+i)^-n)/i]

In the given question

R=monthly check that will be received=$2,500

n=number of months during which monthly checks will be  received=25*12=300

i=interest rate compounded monthly=6/12=0.50%

Amount that should be accumulated=2500[(1-(1+0.50%)^-300)/0.50%]

                                                            =$388,017.16