For the data in the previous problem, the following is an example of a butterfly spread: sell two calls with an exercise price of $50, buy one call with an exercise price of $40, and buy one call with...

For the data in the previous problem, the following is an example of a butterfly spread: sell two calls with an exercise price of $50, buy one call with an exercise price of $40, and buy one call with an exercise price of $60. Simulate the cash flows from this portfolio.

Repeat the previous problem, but make the correlation between the two inputs equal to -0.7. Explain how the results change.