On a particular day, the S$\backslash$&P $500$ stock index was at $4146.$ One of its futures contract expires in $180$ days. A continuous compounding risk$-$free rate is $\backslash (4\mathrm{.}64\backslash \%\backslash ).$ Assuming $3\backslash \%$ of dividend yield, choose the closest to the fair futures price.

$4170$

$4175$

$4180$

$4185$

$4190$