As part of your recirement package, your company has agreed to pay vou monthly payments over the next three yeurs that have the following characteristics.

Wou will recelve $12$ monthly payments each year, with the first payment for the year being mude on lanuany $1^4,$ and the last payment for the year being made on December $1$ st$.$

$2$ Monthly puyments for the first year will be $$5,000$ per month.

After Year $1,$ you will receive an annual cost of living adjustment $($COLA$)$ of $1\mathrm{.}0$ percent that will be effective as of the January $1^{st}$ payment for each subsequent year. That is$,$ in Year $2$ your monthly payment will be $1\mathrm{.}0$ percent higher than in Year $1($i$.$e$.,$ $$5,000**1\mathrm{.}01$ $$5,050\%,$ and in Year $3,$ it will be $1\mathrm{.}0$ percent higher than in Year $2.$

You believe that interest rates will increase in the future and that you will be able to deposit your payments into an investment account and receive the following effective annual rates of return $($over the $12$ months from January $1^{st}$ to December $31$ st of each year$)$: Years $1$ and $2=6\mathrm{.}6759627\%,$ Year $3=8\mathrm{.}2139158\%.$

Given this information, determine how much you should expect to have in your investment account right after your ${36}^{th}$ deposit on December $1^{st}$ of Year $3.$

Answer is whole dollars, rounded to the nearest dollar, with no punctuation. For example, if our answer is $$150,224\mathrm{.}75,$ enter $"150225".$