Company XYZ's stock is currently trading at $22 and it is forecasted to either increase by 20% or fall by 15% in 3 months. The 3-month effective interest rate is 1.5%. Assuming there is no active options market. What will an investor do in order to buy a call option on XYZ stock with an exercise price of $20 to achieve the same payoff? Detail all necessary steps and your reasoning.