Suppose you want $$1,500$ for a down payment for a car in $3$ years. If your bank offers you $4\%$ interest rate per year, how much would you have to deposit today to reach your goal? $($round your answer up to two decimal points$)$

$$1,333\mathrm{.}49$

$$1,687\mathrm{.}30$

$$41\mathrm{.}67$

$$500$