Suppose the current price of a (non dividend paying) stock is $40 and at the end of the year there is a 30% chance that it will be $36 and a 70% chance that it will be $45. Assume the risk free interest rate is 5% per annum and markets are perfect. Show how you can create a synthetic long European put option on the stock with a strike price of $41 and a maturity of one year. (You can assume that the current theoretical value of the option is $1.558 )