Terry was supposed to pay $$900$ to Becky on March $1.$ At a later date, Terry paid Becky an equivalent payment in the amount of $$987\mathrm{.}74.$

If they provided for a time value of money of $8\%$ compounded monthly, on what date did Terry make the payment? $($Do not round the intermediate calculations. Round your final answer to the nearest month.$)$

Terry made the payment

months later.