A rich aunt has promised you $$$$5000$ one year from today. In$$ 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?