Otis is making quarterly contributions of of $$250$ to his savings account which pays interest at the APR of $5\mathrm{.}1\%,$ compounded quarterly. Right after Otis makes his $44$th contribution, the bank changes the APR to $6\mathrm{.}1\%$ and Otis makes $33$ more $$250$ contributions. What is Otis's balance right after his last contribution?