The current price of a non$-$dividend$-$paying stock is $$75\mathrm{.}17$ and you expect the stock price to either go up by a factor of $1\mathrm{.}104$ or down by a factor of $0\mathrm{.}913$ each period for $2$ periods over the next $0\mathrm{.}2$ years. Each period is $0\mathrm{.}1$ years long.

A European call option on the stock expires in $0\mathrm{.}2$ years. Its strike price is $$75.$ The risk$-$free rate is $4\%($annual$,$ continuously compounded$).$

Attempt $8/50$ for $8$ pts$.$

Part $1$

What is the current value of the option?