$23.$ Assume that Social Security promises you $$41,000$ per year starting when you retire $45$

years from today $($the first $$41,000$ will be paid $45$ years from now$).$ If your discount rate

is $5\%,$ compounded annually, and you plan to live for $18$ years after retiring $($so that you

will receive a total of $19$ payments including the first one$),$ what is the value today of

Social Security$$s promise?