Given a stock index with a value of $$1,400,$ an anticipated dividend of $$62$ and a risk$-$free rate of $5\mathrm{.}75\%,$ what should be the value of one futures contract on the index?

$$ a$.$ $$1343\mathrm{.}40$

$$ b$.$ $$62\mathrm{.}00$

c$.$ $$1,418\mathrm{.}50$

$$ d$.$ $$1,366\mathrm{.}44$

$$ e$.$ None of the above