The Bradford Company issued $10\%$ bonds, dated January $1,$ with a face amount of $$80$ million on January $1,2024.$

The bonds mature on December $31,2033(10$ years$).$

For bonds of similar risk and maturity, the market yield is $12\%.$

Interest is paid semiannually on June $30$ and December $31.$

Required:

$1.$ Determine the price of the bonds at January $1,2024.$

$2.$ to $4.$ Prepare the journal entries to record their issuance by The Bradford Company on January $1,2024,$ interest on June $30,2024($at the effective rate$)$ and interest on December $31,2024($at the effective rate$).$