A bond has a FV of $$1,000,$ a price of $$1,014\mathrm{.}45,$ YTM of $6\mathrm{.}2\%$ and a duration of $7\mathrm{.}883.$ What is the $ change in the price of the bond when its YTM falls by $0\mathrm{.}25\%?[$Note: the question asks for the change in price rather than the new price.$]$