A rich aunt has promised you $$5,000$ one year from today. In addition, each year after that, she has promised you a payment $($on the anniversary of the last payment$)$ that is $3\%$ larger than the last payment. She will continue to show this generosity for $20$ years, giving a total of $20$ payments. If the interest rate is $5\%,$ what is her promise worth today?

The present value of the aunt's promise is $

$($Round to the nearest cent$)$