You are eyeing an investment in a corporate bond which has a YTM of $13\mathrm{.}62\%,$ a face value of $$1000,$ and a stated rate of interest of $2\mathrm{.}02\%($semi$-$annual payment$)$ with a maturity of $3$ years. What is the price of this bond?

$$728\mathrm{.}96$

$$721\mathrm{.}91$

$$705\mathrm{.}37$

$$770\mathrm{.}34$