To save money for her son's college tuition, Kaitlin invests $$95$ every month in an annuity that pays $6\%$ interest, compounded monthly, Payments will be made at the end of each month. Find the total value of the annuity in $19$ years.

Do not round any intermediate computations, and round your final answer to the nearest cent. If necessary, refer to the list of financial formulas.