A bond has a current market price of $$825.$ It has an annual coupon rate of $6\%,$ its par value is $$1000$ and it matures in $10$ years. What is its yield to maturity $($YTM$)?$

Hopewell Corporation's bonds have a $20-$year maturity, an $8\%$ semi$-$annual coupon and a face value of $$1000.$ The going nominal annual interest rate $(rd)$ is $7\%.$ What is the bond's price?