You have observed the following monthly closing prices for stock XYZ

Answer is $10.00. Please show how to get this.

Problem 41.8 You have observed the following monthly closing prices for stock XYZ Date January 31, 2008 February 29, 2008 March 31, 2008 April 30, 2008 May 31, 2008 June 30, 2008 July 31, 2008 August 31, 2008 September 30, 2008 October 31, 2008 November 30, 2008 December 31, 2008 Stock Price 105 120 115 110 115 110 100 90 105 125 110 115 The following are one-year European options on stock XYZ. The options were issued on December 31, 2007 (i) An arithmetic average Asian call option (the average is calculated based on monthly closing stock prices) with a strike of 100 (ii) An up-and-out call option with a barrier of 125 and a strike of 120 (ii) An up-and-in call option with a barrier of 120 and a strike of 110 Calculate the difference in payoffs between the option with the largest payoff and the option with the smallest payoff Problem 41.8 You have observed the following monthly closing prices for stock XYZ Date January 31, 2008 February 29, 2008 March 31, 2008 April 30, 2008 May 31, 2008 June 30, 2008 July 31, 2008 August 31, 2008 September 30, 2008 October 31, 2008 November 30, 2008 December 31, 2008 Stock Price 105 120 115 110 115 110 100 90 105 125 110 115 The following are one-year European options on stock XYZ. The options were issued on December 31, 2007 (i) An arithmetic average Asian call option (the average is calculated based on monthly closing stock prices) with a strike of 100 (ii) An up-and-out call option with a barrier of 125 and a strike of 120 (ii) An up-and-in call option with a barrier of 120 and a strike of 110 Calculate the difference in payoffs between the option with the largest payoff and the option with the smallest payoff