A $6$ percent coupon bond with $12$ years left to maturity is priced to offer a $6\mathrm{.}5$ percent yield to maturity. You believe that in one year, the yield to maturity will be $6\mathrm{.}25$ percent. What is the change in price the bond will experience in dollars? $($Assume semiannual interest payments and $$1,000$ par value.$)$

Multiple Choice

$$25\mathrm{.}00$

$$21\mathrm{.}55$

$$53\mathrm{.}48$

$$80\mathrm{.}37$