Which of the following options represents the correct, current market price of the $25$ year zero$-$coupon bond with YTM $8\mathrm{.}68$ percent and $1000-$dollar face value.

a $426\mathrm{.}3825-$year

b $538\mathrm{.}12$

c $142\mathrm{.}81$

d $792\mathrm{.}47$