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content/posts/finance/monte_carlo/Black-Scholes/index.md

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{{< img src="/posts/finance/monte_carlo/Black-Scholes/images/simulation_path.png" align="center" title="Paths">}}
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These visualizations show the range of possible stock price paths and the distribution of final stock prices, providing insight into the option's potential outcomes.
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{{< img src="/posts/finance/monte_carlo/Black-Scholes/images/simulation_histogram.png" align="center" title="Histogram">}}
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These visualizations show the range of possible stock price paths and the distribution of final stock prices, providing insight into the option's potential outcomes.
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## 6. Comparison with Analytical Solutions
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To validate our Monte Carlo results, we can compare them with the Black-Scholes analytical solution:

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