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An Optimal Transport approach to arbitrage correction: application to Volatility Stress-Tests
Marius Chevallier / Pierre-Emmanuel Lévy-dit-Vehel / Stefano De Marco
derivatives / optimizationResource overview

An Optimal Transport approach to arbitrage correction: application to Volatility Stress-Tests

Paper2025

by Marius Chevallier, Pierre-Emmanuel Lévy-dit-Vehel, Stefano De Marco

Tags
derivativesoptimizationstress testingvolatility surface

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Suggested foundations for volatility models and surfaces and options and derivatives pricing. Specialist prerequisites vary by paper.

Before you read

  1. Stochastic Processes, Brownian Motion and Itô's Lemma

    Follow diffusion-based models and their assumptions.

  2. ARCH and GARCH

    Separate conditional volatility from observed returns.

  3. The Binomial Model

    Build replication and risk-neutral probabilities in a tractable model.

  4. Market Model and Risk-Neutral Valuation

    Distinguish pricing probabilities from physical forecasts.

Go further

  1. Stochastic Volatility and the Heston Model

    Study a correlated stochastic-variance model.

  2. Reading the Implied Vol Surface — Moneyness, Term Structure, and Quoting Conventions

    Interpret prices across strikes and expiries.

  3. The Black-Scholes PDE, Formula and Implied Volatility

    Connect the pricing equation, closed-form value and implied volatility.

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Explore Advanced Derivatives and Exotic Options Explore Derivatives Pricing and Computational Finance

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