(a) An investor sells a European call on a share for $4. The stock price is $47 and the strike price is $50. Under what circumstances does the investor make a profit? Under what circumstances will the option be exercised? Draw a diagram showing the variation of the investor's profit with the stock price at the maturity of the option. (6 marks) (b) A trader buys a call option with a strike price of 45 and a put option with a strike price of 40. Both options have the same maturity. The call costs 3 and the put costs 4. Draw a diagram showing the variation of the trader's profit with the asset price. Explain the purpose of this strategy. (8 marks)