Anna has a balance of $5,000 in her VISA account which grows at a nominal interest rate of 19.99% compounded daily. To pay off this balance, she makes monthly payments to VISA, with her first payment to be made immediately. Each of her payments will be of size $100 except for her final payment which will be less than $100. Determine the number of full payments of $100 she will need to make and the size of her smaller final payment.