A Financial Mathematics student, who always submitted his assignments, bought a beach cart, paying 1,000 in cash, and agreeing to pay $500 every six months for three years. While driving his car along the beach one day, he noticed a bottle in which there were 5 $500 bills, moldy but collectable. He had not yet made his first semi-annual payment for the car. When should you make a payment of $2,500 to discharge your obligation for the purchase through a full payment agreement, if the interest is 9% compounded semiannually?