Your student loan is looming so you'd like to come up with a plan for repayment. The remaining balance on your loan is $$65,584\mathrm{.}95$ and the student loan service centre charges $2,33\%$ interest compounded quarterly. If payments of $$250$ are made at the beginning of every two weeks $(26$ times per year$),$ how many months will it take to pay off the loan in its entirety?

Answer