Alex Sanchez won a $12 500 prize that he deposited in an account paying 5.95% com- pounded semi-annually for 10 years. At the end of 10 years, he reinvested the balance into an annuity that paid $500 at the beginning of each month starting with the date of reinvestment. If interest on the annuity is 5.16% compounded monthly, for how long will Alex receive monthly payments?