Compute the price of a $4\mathrm{.}7$ percent coupon bond with $15$ years left to maturity and a market interest rate of $7\mathrm{.}2$ percent. $($Assume

interest payments are semiannual.$)$

Note: Do not round intermediate calculations. Round your final answer to $2$ decimal places.

Is this a discount or premium bond?

Please avoid using excel, and show all formulas.