It costs about $$39,716$ per year to attend Georgia Law School $($including tuition, off$-$campus room and board, and student fees$).$ I attend for three years and borrow the full amount: $$119,148.$ Federal student loans for graduate students carry an APR of $7\mathrm{.}05\%,$ compounded monthly. Once I graduate, I can afford to pay $$1,200/$month on my student loans. How many months will it take for me to pay off my law school debt?