A $20-$year, $6\mathrm{.}5$ percent coupon bond pays interest annually. The bond has a face value of $$1,000.$ What is the percentage 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?

Question $6$ options:

$2\mathrm{.}27\%$

$-2\mathrm{.}46\%$

$2\mathrm{.}14\%$

$2\mathrm{.}39\%$

$-2\mathrm{.}27\%$