A $10-$year zero$-$coupon bond has a face value of $$1,000.$ If its YTM changes from $5\%$ to $6\%,$ what is the resulting dollar value change in its price? Use the price determined from the first yield, $5\%,$ as the base in your calculation. Round to the nearest cent $($e$.$g$.,$ $$62\mathrm{.}891=62\mathrm{.}89)$

$[$Hint: Price change $=P2-P1,$ where $P1$ is the value at $YTM=5\%$ and $P2$ is the value at $YTM=6\%.$ If the price dropped, answer should be negative.$]$