Financial math problem! please show all of the steps. and give proper explanation

D2. 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 no dividends Strike343536 37 38 Call Price 2.90 2.32 1.80 1.37 1.00 (a) Establish upper and lower no-arbitrage bounds for the price of a digital call option on the same stock struck at $36. Recall that the digital call option pays nothing if the underlying asset finishes below the strike price or pays 81 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 D2. 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 no dividends Strike343536 37 38 Call Price 2.90 2.32 1.80 1.37 1.00 (a) Establish upper and lower no-arbitrage bounds for the price of a digital call option on the same stock struck at $36. Recall that the digital call option pays nothing if the underlying asset finishes below the strike price or pays 81 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