A rich aunt has promised you $$1,000$ 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 $5\%$ larger than the last payment. She will continue to show this generosity for $15$ years, giving a total of $15$ payments. If the interest rate is $5\%,$ what is her promise worth today?

Your rich aunt's promise is worth $ today. $($Round to the nearest cent.$)$