How will a $0\mathrm{.}5\%$ decrease in the yield to maturity $($YTM$)$ affect the price of a ten$-$year bond with a current YTM of $6\mathrm{.}5\%$ and an annual coupon rate of $5\mathrm{.}2\%?$ The bond's current price is R$975\mathrm{.}20,$ and its duration is $7\mathrm{.}8.$ Calculate the new bond price after the decrease in YTM$.(4)$