You have a $30-$year Treasury of $$1,000$ face value that pays $4\mathrm{.}4\%$ coupons yearly and has $7\mathrm{.}5$ years left to maturity. The Yield to Maturity $($YTM$)$ of this bond is $5\mathrm{.}2\%$ per annum. What is its price?

Remember, by convention coupons are assumed to be paid twice a year unless otherwise specified.