You are planning to buy a new home entertainment system in $3$ years and want to have $$4,000$ to spend. How much do you need to deposit today if you could earn $3\mathrm{.}9\%?$

$-$$$3,666\mathrm{.}26$

$-$$$3,566\mathrm{.}26$

$-$$$3,705\mathrm{.}35$

$-$$$3,432\mathrm{.}40$