On June $30,2024,$ Moran Corporation issued $$4$ million of its $8\%$ bonds for $$3\mathrm{.}5$ million. The bonds were priced to yield $9\mathrm{.}4\%.$ The bonds are dated June $30,2024.$ Interest is payable semiannually on December $31$ and July $1.$ If the effective interest method is used, by how much should the bond discount be reduced for the six months ended December $31,2024?$

A$)$ $$3,500$

B$)$ $$4,500$

C$)$ $$4,800$

D$)$ $$9,000$