Answer:
$388,017.16
Step-by-step 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