Eagletron's current stock price is $$10.$ Suppose that over the current year, the stock price will either increase by $100\%$

or decrease by $56\%.$ Also, the risk$-$free rate is $25\%($EAR$).$

a$.$ What is the value today of a one$-$year at$-$the$-$money European put option on Eagletron stock?

b$.$ What is the value today of a one$-$year European put option on Eagletron stock with a strike price of $$20\mathrm{.}00?$

c$.$ Suppose the put options in parts $($a$)$ and $($b$)$ could either be exercised immediately, or in one year. What would their

values be in this case?