An investor buys one European call option contract on the stock with a strike price of $30 and one European Put option with a strike price of $40. The market price of options are $4 and $5, respectively. Both options have the same maturity. Consider all the circumstances to compute :

1. The total payoff of the investor position and show the eventual exercise of the option.

2. The realized profit/loss.

3. Illustrate graphically the realized profit/loss with respect to the stock price.

Explain all steps