Compute the price of a $5\mathrm{.}0$ percent coupon bond with $10$ years left to maturity and a market interest rate of $7\mathrm{.}8$ percent. $($Assume interest payments are semiannual.$)($Do not round intermediate calculations. Round your final answer to $2$ decimal places.$)$

Bond price

Is this a discount or premium bond?

discount bond

premium bond