$2.$ On January $1,2023,$ Lenore Corp. purchased $500,000$ of $5\%$ bonds for $$530,750,$ which they are classifying as available for sale. Interest is payable annually on December $31.$ The bonds mature on December $31,2025.$ Premium or discount amortization is recorded when interest is received by the straight$-$line method. The market value of the bonds at December $31,2023$ is $528,000.$

Required:

a$.$ Prepare the entry to record the acquisition on January $1,2023.$

b$.$ Prepare the entry to record the December $31,2023$ interest payment.

c$.$ Prepare the entry to adjust the investment to fair value at December $31,2023.$

d$.$ The bonds are sold on January $1,2024$ for $535,000.$ Prepare any entries necessary to record the sale.