A $4-$year note with annual coupon payments has a face value of $$1,000,$ duration of $3\mathrm{.}685,$ and yield to maturity of $5\mathrm{.}11\%.$ The average monthly change in the yield is $0$ basis points and the standard deviation of such changes is $20\mathrm{.}6$ basis points. The value at risk $($VAR$)$ at the $99\%$ confidence level is estimated to be $$17\mathrm{.}91.$ The appropriate critical value is $2\mathrm{.}33.$ What is the note's price, to the nearest $$0\mathrm{.}01?$