Journalize the entries to record the following:

a$.$ The first semiannual interest payment on December $31,20$Y$1,$ and the amortization of the bond discount, using the straight$-$line method. Round to the nearest dollar.

$20$Y$1$ Dec. $31q,$

$q,$

b$.$ The interest payment on June $30,20$Y$2,$ and the amortization of the bond discount, using the straight$-$line method. Round to the nearest dollar.

$20Y2$ June $30q,$

$$

$q,$

$q,$

Determine the total interest expense for $20$Y$1.$ Round to the nearest dollar.

$

Will the bond proceeds always be less than the face amount of the bonds when the contract rate is less than the market rate of interest?