A $7\mathrm{.}5$ percent coupon bond with nine years left to maturity is priced to offer an $11\mathrm{.}2$ percent yield to maturity. You believe that in one year, the yield to maturity will be $8$ percent. What is the change in price the bond will experience in dollars? $($Assume interest payments are semiannual and par value is $$1,000.)$

$$97\mathrm{.}75$

$$101\mathrm{.}50$

$$129\mathrm{.}25$

$$177\mathrm{.}34$