Assume that Social Security promises you $$47,000$ per year starting when you retire $45$ years from today $($the first $$47,000$ will be paid $45$ years from now$).$ If your discount rate

is $6\%,$ compounded annually, and you plan to live for $14$ years after retiring $($so that you will receive a total of $15$ payments including the first one$),$ what is the value today of

Social Security's promise?

The value today of Social Security's promise is $

$($Round to the nearest cent.$)$