Derek wants to withdraw $$12,132\mathrm{.}00$ from his account $3\mathrm{.}00$ years from today and $$12,828\mathrm{.}00$ from his account $13\mathrm{.}00$ years from today. He currently has $$2,513\mathrm{.}00$ in the account. How much must he deposit each year for the next $13\mathrm{.}0$ years? Assume a $5\mathrm{.}66\%$ interest rate. His account must equal zero by year $13\mathrm{.}0$ but may be negative prior to that.