Matthews Company issued $$400,000$ of $8\%,20-$year bonds on January $1,2020,$ at $102.$ Interest is payable semiannually on July $1$ and January $1.$ Matthews Company uses the effective interest methed of amortization for bond premium and discount. Assume an effictive yield of $6\%$ in pricing the bond.

Prepare the journal entries to record the following:

$($a$)$ The issuance of the bonds.

$($b$)$ The payment of interest and related amoritation on July $1,2020.$

$($c$)$ The awcrual of interest and the related amortization on Dewember $81,2020.$