Consider a zero$-$coupon bond with $$100$ face value and $10$ years to maturity. The price will this bond trade if the YTM is $6\mathrm{.}4\%$ is closest to:

A$.$ $$64\mathrm{.}53$

B$.$ $$86\mathrm{.}04$

C$.$ $$75\mathrm{.}29$

D$.$ $$53\mathrm{.}78$