You want to start saving for your retirement, which you expect $38$ years from now. To do this, you will invest $$900$ every month until then. You decide to allocate your savings as follows:

$$600$ per month in a stock fund with an expected APR return of $5\mathrm{.}0\%$

$$300$ per month in a bond fund with an expected APR return of $2\mathrm{.}0\%$

At your retirement, you will redeem all of your investments and put them into a single account with a $4\mathrm{.}0\%$ return. But you will also make monthly withdrawals over the $24$ years of your expected life following retirement.

How much will you be able to withdraw from your account each month during your $24-$year retirement? $(($Hint: First calculate the total future value of what you have invested at your retirement date; and then calculate a monthly annuity payment using that future value as your base amount.$)$