Thatcher Corporation's bonds will mature in $10$ years. The bonds have a face value of $$1,000$ and an $8\%$ coupon rate, paid semiannually. The bonds have a yield to maturity $($YTM$)$ of $4\%.$What is the price of the bonds?

Thatcher Corporation's bonds will mature in $10$ years. The bonds have a face value of $$1,000$ and an $8\%$ coupon rate, paid semiannually. The price of the bonds is $$1,100.$What is the yield to maturity $($YTM$)?$