Problem 4. (each part is 5 points) You are given the following prices of 3-month European call options on the XYZ stock, whose current price is $36. Assume zero rates and dividends. (a) Establish upper and lower no-arbitrage bounds for the price of a digital call option on the same stock struck at $36. The digital call option pays nothing if the underlying asset finishes below the strike price or pays $1 if the underlying asset finishes above the strike price. (b) Establish upper and lower no-arbitrage bounds for the price of an option that pays $1 if the final stock price is between $35 and $37