William borrows $$4440$ on January $1$ for one year at an interest rate of $9\%.$ Interest is calculated monthly and payments are due at the end of each month, starting January $31.$ How much interest will William owe on the loan for the month of January? Assume that there are $12$ equal months in the year.

$$44\mathrm{.}40.$

$$377\mathrm{.}30.$

$$33\mathrm{.}30.$

$$39\mathrm{.}96.$