Problem 2: Binomial Options Pricing (5 points) Imagine a case where there were only two possible stock prices in one month: $100 and $80 occurring with probabilities 60% and 40% respectively, and the current stock price was $91: 60% $100 $91 40% $80 We will build up to finding the no-arbitrage price of a call option with strike K-95 that expires exactly one month from now (a) What will the call payoff be in case that ST $100? What about ST $80? We'll call the first number O and the second O Da (b) What portfolio of risk-free bonds with face value B and shares of the underlying stock will replicate the call option? Problem 2: Binomial Options Pricing (5 points) Imagine a case where there were only two possible stock prices in one month: $100 and $80 occurring with probabilities 60% and 40% respectively, and the current stock price was $91: 60% $100 $91 40% $80 We will build up to finding the no-arbitrage price of a call option with strike K-95 that expires exactly one month from now (a) What will the call payoff be in case that ST $100? What about ST $80? We'll call the first number O and the second O Da (b) What portfolio of risk-free bonds with face value B and shares of the underlying stock will replicate the call option