In an alternative plan, Emine Gul plans to retire $20$ years from now under the following retirement plan:

$-$She will receive $$10,000$ at the end of year $20$ when she retires.

$-$She will receive $$5,000$ monthly for $10$ years starting at year $21($with the first month of ${21}^{st}$ year$).$

$-$Starting from year $31($with the first month of ${31}^{st}$ year$),$ she would like the monthly payments to grow at $0\mathrm{.}3\%$ per month in perpetuity. The discount rate to be used throughout this plan is $10\%$ APR which is quarterly compounded. Calculate the present value of her retirement plan.

$($Do not round intermediate transactions. Round your final answer to the closest $2$ decimals. Do not use the $ sign. If your answer is $$1234\mathrm{.}56,$ then enter $1234\mathrm{.}56)$

Numeric Response