A $12-$year, $5\%$ coupon bond pays interest annually. The bond has a face value of $$1,000.\_\_\_\_\%$ is the percentage change in the price of this bond if the yield to maturity rises to $6\%$ from the current yield to maturity of $4\mathrm{.}5\%?($Round your answer to two decimal places. Pay attention to the positive or negative sign.$)$