On January $1,$ Year $1,$ Weller Company issued bonds with a $$405,000$ face value, a stated rate of interest of $10\%,$ and a $10-$year term to maturity. Weller uses the effective interest method to amortize bond discounts and premiums. The market rate of interest on the date of issuance was $8\%.$ Interest is paid annually on December $31.$

Assuming Weller issued the bond for $$446,940,$ what is the amount of interest expense that will be recognized during Year $3?$