Suppose you are$25$years old and would like to retire

at age$60.$Furthermore$,$ you would like to have a

retirement fund from which you can draw an income

of$$$$50,000$per$$year$$forever$!$How much would

you need to deposit each month to do$$this$?$ Assume a constant

APR of$5\%$and that the compounding and payment periods

are the same.$$To draw$$$$50,000$per$$year$,$ there must be

$$\_\_\_$in your savings account when you retire.$$