The current zero$-$coupon yield curve for risk$-$free bonds is as follows: Maturity $($years$),$ YTM$...1->5\%2->5\mathrm{.}5\%3->5\mathrm{.}75\%4->5\mathrm{.}95\%5->6\mathrm{.}05\%.$ What is the price per $$100$ face value of a two$-$year, zero$-$coupon, risk$-$free bond?

The price per $$100$ face value of the two$-$year, zero$-$coupon, risk$-$free bond is $$.($Round to the nearest cent.$)$