10. Consider three European call options with the same maturity T. Option 1 has underlying asset S1, exercise price X1, and price C1. Option 2 has underlying asset S2, exercise price X2, and price C2. Option p has underlying asset Sp = Si + S2, exercise price X = X2 + X2, and price Cp. Answer the following questions. a. Prove that Cp S C1 + 2. b. Provide an intuitive explanation for the result in part a. c. Prove that the result in part a also holds for European put options, i.e., P S P + P2. 10. Consider three European call options with the same maturity T. Option 1 has underlying asset S1, exercise price X1, and price C1. Option 2 has underlying asset S2, exercise price X2, and price C2. Option p has underlying asset Sp = Si + S2, exercise price X = X2 + X2, and price Cp. Answer the following questions. a. Prove that Cp S C1 + 2. b. Provide an intuitive explanation for the result in part a. c. Prove that the result in part a also holds for European put options, i.e., P S P + P2