Edd's Jawbreakers Co$.$ stock is selling for $$80.$ In $6$ months it will trade for either $$100$ or $$60.$ The continuous risk$-$free rate is $10\%$ per year. Compute the value of a $6-$month European call option on Edd's Jawbreakers with a strike price of $$80.$

$$28\mathrm{.}54$

$$11\mathrm{.}46$

$$20\mathrm{.}96$

$$21\mathrm{.}47$

$$8\mathrm{.}46$