A small lottery prize offers $$61$ per year forever, with the first payment occurring today. If the relevant interest rate is $9\%$ per year $($as an EAR$),$ the value of the entire prize today is $$\_\_\_\_\_\_\_\_\_.$

Hint: There is more than one way to solve this problem $--$ but however you solve it$,$ all cash flows must be brought to the "year $0"$ point. Look carefully at the timing of these payments and compare that to what the PV Perpetuity formula assumes about timing.

Margin of error for correct responses: $+/-\mathrm{.}05$

Rounding and Formatting instructions:

Do not enter dollar signs, percent signs, commas, X$,$ or any words in your response. Do not round any intermediate work, but round your $*$final$*$ response to $2$ decimal places $($example: if your answer is $12\mathrm{.}3456,12\mathrm{.}3456\%,$ or $$12\mathrm{.}3456,$ you should enter $12\mathrm{.}35).$