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Breeden-Litzenberger on SP500 Options

This project is a simple implementation of the Breeden-Litzenberger approach to extract the risk-neutral probability density function (PDF) from real-world SP500 option data.

I use data from Yahoo Finance, specifically from:

  • 📅 08/04/2025
  • 📅 09/04/2025

Both datasets refer to European-style call options expiring on 01/05/2025.


Objective

The goal is to visualize how the risk-neutral distribution evolves in response to market events—in this case, Trump’s decision to pause tariffs. By comparing two consecutive days of option prices, we can observe how market expectations shifted.

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