The YTMs on benchmark one$-$year, two$-$year, and three$-$year annual pay bonds that are priced at par are listed in the table below.

Bond Yield

$1-$year $1\mathrm{.}74$

$2-$year $3\mathrm{.}37$

$3-$year $3\mathrm{.}98$

What is the correct no$-$arbitrage price for a $3$ year risk free bond with a $5\mathrm{.}35\%$ coupon, per $$100$ of par value?