Penny Corporation issued $$400,000$ of $5\%,10-$year bonds on January $1,2024,$ for $$370,247.$ This price provided a yield of $6\%$ on the bonds. Interest is payable semiannually on June $30$ and December $31.$ What would be the total interest expense recognized for the bond issue over its full term?

$$170,247$

$$219,237$

$$200,000$

$$229,753$