At age $20$ when you graduate, you start saving for retirement. If your investment plan pays an APR of $5\mathrm{.}4\%,$ compounded monthly, and you want to have $$4\mathrm{.}5$ million when you retire in $45$ years, how much should you deposit monthly?

$$2146\mathrm{.}57$

$$2156\mathrm{.}57$

$$1836\mathrm{.}57$

$$1966\mathrm{.}57$

None of the above.