3. Boeing plans to give American airlines an option to buy wide-body 9W9 aircraft at the end of three years for $200 million, and the price of 9W9 aircraft today is $180 million. The life of the aircraft is 20 years. Boeing's business consists of 50% in commercial aircraft and 50% in defense projects. The volatility for Boeing stock is 30% per year. Airbus is 100% in the commercial aircraft business. The volatility for Airbus stock is 50% per year. The 3-year risk-free rate is 2% per year, and the twenty-year rat is 3% per year. What inputs will you use for the Black-Scholes model to estimate the price of the option given by Boeing? [Ref: Mod 3 - Real options and Black-Scholes model]