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Monte Carlo Valuation of an Option

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paths
1000
tenor in weeks
12
Perspective: The call option price is shown as a function of the strike price. The black line comes from the Black-Scholes theory while the red bar (95% confidence band) is a Monte Carlo estimate. The controls are the number of Monte Carlo price paths and the tenor of the option in weeks.
Detail: The distributions of the stock price and the final option payoff are shown. Note that a relatively high percentage of price paths leads to an "out of the money" finish for the option.
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