Assume that Social Security promises you $$$$32,000$ per year starting when you retire $45$ years from today$($the first $$32,000$ will be paid $45$ years from$$ now$).$ If your discount rate is $8\%,$ compounded$$ 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$$ Security's promise is $$$ enter your response here.