You want to buy a stock that is currently selling for $\backslash (\backslash$$ $40\backslash ),$ You forecast that in one year, the stock's price will be either $\backslash (\backslash$$ $102\backslash )$ or $\backslash (\backslash$$ $4\backslash ),$ with equal probabilities. There is a one$-$year call option on the stock available with an exercise price of $\backslash (\backslash$$ $80\backslash ).$ You are able to borrow at a rate: of $\backslash (6\mathrm{.}50\backslash \%\backslash )$ a$.$ What will be the call's value if the stock price is $\backslash (\backslash$$ $102\backslash )$ in one year? What will be the cali's value if the stock price is $\backslash (\backslash$$ $4\backslash )$ in one year? $($Round your answers to the nearest dollar.$)$ b$.$ What is the hedge ratio you should use? $($Round your answer to $4$ decimal places.$)$ c$.$ Assume that you can purchase fractional shares of stock. How many shares or stock would you buy? $($Round your answer to $4$ decimal places.$)$