You plan on retiring in exactly $6$ years and you would like to have a retirement fund balance

of exactly $$2,000,000$ at that time. You are convinced that you can earn an APR $($based on

monthly compounding$)$ of $5\mathrm{.}1\%.$ If you are making beginning$-$of$-$the$-$month payments into

the account, how much does each one of the payments need to be in order to reach your

target?

To nearest $$0\mathrm{.}01$