Suppose that you are $27$ years old now, and that you would like to retire at the age of $64.$ Furthermore, you would like to have a retirement fund from which you can draw an income of $$67,000$ annually. You plan to reach this goal by making monthly deposits into an investment plan until you retire. How much do you need to deposit each month? Assume an APR of $7\%$ compounded monthly, both as you pay into the retirement fund and when you collect from it later.

$$457\mathrm{.}07$

$$420\mathrm{.}07$

$$442\mathrm{.}07$

$$433\mathrm{.}07$

None of the above.