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

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