Charlotte's parents were unable to pay for her last year of college, so she obtained a student loan of $$9,500.$ The conditions of the loan were: she would make no payments while in college but the interest would accumulate at $3\mathrm{.}3\%$ per year compounded monthly. Upon graduation she would begin equal monthly payments that would repay the loan in $5$ years. What was the amount of the loan when she graduated $1$ year later? What monthly payment will repay the loan in $5$ years?