On January $1,2024,$ Twister Enterprises, a manufacturer of a variety of transportable spin rides, issues $$400,000$ of $6\%$ bonds, due in $20$ years, with interest payable semiannually on June $30$ and December $31$ each year.

$3.$ If the market interest rate is $5\%,$ the bonds will issue at $$450,206.$ Record the bond issue on January $1,2024,$ and the first two semiannual interest payments on June $30,2024,$ and December $31,2024.$