Your brother wants to retire in $40$ years with $$1,000,000$ in his account. Assume he can invest his money at $7\mathrm{.}5\%$ annual interest $($annual compounding$)$ until retirement. He wants to know from you how much money he needs to save at the end of each month for the next $40.$

Question $34$ options:

$$330\mathrm{.}71$

$$4,400\mathrm{.}31$

$$22,174\mathrm{.}35$

None of the answers is correct

$$354\mathrm{.}66$