(7 pts: 3+4) The payoff at maturity T of an cash-or-nothing put option with strike K is 1 if S(T)K, and 0 otherwise. 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 cash-or-nothing put option on the same stock struck at $36. (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