Consider the market rates for the maturities $1,2,$ and $3$ years respectively in the table below. What is the price of a $3-$year bond with annual payments, coupon rate equal to $9\mathrm{.}00\%$ and face value equal to $$51,000.$ Answer with two decimal digits accuracy. Example: $74929\mathrm{.}05$

t R$(0,$t$)$

$12\mathrm{.}00$

$22\mathrm{.}35$

$35\mathrm{.}70$