(b) Suppose a European call and put with strike price of $65 expire in 4 years. The underlying stock price is $55. i. Determine the put price if call currently sells for $4.50 and risk-free interest rate is 5%. (3 marks) ii. Calculate the continuously compounded risk-free interest rate if call option price is 0.18 more than the put option price. (6 marks) iii. Assuming both call and put are American options, with put price at $3.10 and risk-free interest rate is 5%. Determine the upper and lower bounds for a corresponding American call option. (6 marks) [Total: 30 marks]