Matlab problem

Your roommate has borrowed $100,000 in student loans. The loan charges a 6% annual interest rate, and interest charges are applied each month. In other words, every month the loan charges a 0.5% interest fee on the remaining balance. This means that the amount by which you reduce your balance each month is not the amount you pay, but your payment minus the monthly interest. Your roommate plans to pay your loan off by paying $1,000 per month. Write a program using loops and logic to calculate how long it will take to finish paying off the loan. Dont get fancy and derive an analytic formula for compound interest payoff time. Just write a loop to track the balance over time, and break out when the balance gets to zero.