$(2)$

A rich aunty has promised you $$2,000$ in three$-$month's time from today. In addition, each quarter after that, he promised you a payment $($on the quarterly basis$)$ that is $1\%$ larger than the last payment $($i$.$e$.,$ payment grows at $1\%$ per quarter$).$ She will continue to show his generosity for $20$ years, with the last payment occurring at the end of $20$ th year. Assuming an effective annual rate $($EAR$)$ of $5\mathrm{.}095\%,$ what is her promise worth today? Round your response to the nearest dollar.

$[$Type only the final answer into the response box below $($NOT into the Notes box$)$ and in pure numeric format. Do NOT use$\%/$$ signs, commas or spaces $($e$.$g$.,$ only enter $10$ if it is $$9\mathrm{.}51)]$