The current price of Kinston Corporation stock is $$10.$ In each of the next two years, this stock price can either go up by $$3\mathrm{.}00$ or go down by $$2\mathrm{.}00.$ Kinston stock pays no dividends. The one year risk$-$free interest rate is $5\%$ and will remain constant. Usung the binomial pricing model, calculste the value of a two year at the money call option on kinston stock

a$)$

What is the value of call option at year $1$ if the stock price goes up

b$)$

what is the value of call option at year $1$ if the stock prixe goes down

c$)$

What is the value of call optiob at year $0$