A company issues a $10-$year $$1,000$ face value bond at par with a coupon rate of $6\mathrm{.}1\%$ paid semiannually. The YTM at the beginning of the third year of the bond $(8$ years left to maturity$)$ is $8\mathrm{.}1\%.$ What is the current price and then the new price of the bond at the beginning of the third year? $($Show your work$)$