A $15-$year, $6$ percent coupon bond pays interest annually. 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 $6\mathrm{.}5$ percent from the current rate of $6\mathrm{.}25$ percent?

Group of answer choices

$$23\mathrm{.}12$ decrease

$$23\mathrm{.}72$ decrease

$$23\mathrm{.}12$ increase

$$24\mathrm{.}40$decrease

$$23\mathrm{.}72$ increase