a) Consider the prices of following American call options with different maturities and strike prices. Assume the current stock price is $30 and no dividends will be paid prior to the July expiration date. The risk-free interest rate is 5% and it is expected to remain constant over the next 2 years. It is currently 3-month away from the maturity date of January call options. Strike price 20 25 35 January 10.25 4.90 0.26 April 10.50 5.90 0.77 July 10.77 7.85 1.28 i) Find three mispricings, explain what arbitrage restriction on call prices is being violated. For each of them, explain how you could take advantage of these mispricings and numerically illustrate how your designed strategy leads to an arbitrage profit(s). (10 marks) a) Consider the prices of following American call options with different maturities and strike prices. Assume the current stock price is $30 and no dividends will be paid prior to the July expiration date. The risk-free interest rate is 5% and it is expected to remain constant over the next 2 years. It is currently 3-month away from the maturity date of January call options. Strike price 20 25 35 January 10.25 4.90 0.26 April 10.50 5.90 0.77 July 10.77 7.85 1.28 i) Find three mispricings, explain what arbitrage restriction on call prices is being violated. For each of them, explain how you could take advantage of these mispricings and numerically illustrate how your designed strategy leads to an arbitrage profit(s). (10 marks)