At 22 years of age, Nicolas and Troy have started their first full-time jobs, and Troy decides to place $10,000 in a savings plan for retirement, which pays 9% compounded every 3 months. As usual, Nicolas thinks Troy is crazy because he wants to enjoy his money now, and then start saving when he turns 45 years of age.

Assume that both Troy and Nicolas plan to retire at age 60. If Nicolas wants to retire with the same amount of savings as Troy, how much will Nicolas need to contribute monthly to his savings account, which earns him 10% compounded monthly?