Joe secured a loan of $$13,000$ five years ago from a bank for use toward his college expenses. The bank charges interest at the rate of $3\%/$year compounded monthly on his loan. Now that he has graduated from college, Joe wishes to repay the loan by amortizing it through monthly payments over $10$ years at the same interest rate. Find the size of the monthly payments he will be required to make. $($Round your answer to the nearest cent.$)$