Twenty$-$five years from now, you would like to give your child $$500,000.$ How much money must you set aside per month, starting next month, if you can earn $7\mathrm{.}5$ percent per year, compounded monthly, on your investment?

Group of answer choices

$$569\mathrm{.}96$

$$18,540\mathrm{.}56$

$$352\mathrm{.}83$

$$7,355\mathrm{.}34$

$$1,250\mathrm{.}65$