A $13-$year, $6$ percent coupon bond pays interest semiannually. The bond has a face value of $$1,000.$ What is the change in the price of this bond if the market yield to maturity rises to $5\mathrm{.}7$ percent from the current rate of $5\mathrm{.}5$ percent?

$-$$$18\mathrm{.}72$

$$18\mathrm{.}72$

$$20\mathrm{.}56$

$-$$$20\mathrm{.}56$