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On non-uniqueness of solutions to degenerate parabolic equations in the context of option pricing in the Heston model
Ruslan R. Boyko
mathematical finance / option pricingResource overview

On non-uniqueness of solutions to degenerate parabolic equations in the context of option pricing in the Heston model

Paper2025

by Ruslan R. Boyko

Tags
mathematical financeoption pricingpartial differential equations

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

Before you read

  1. The Binomial Model

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

  2. Market Model and Risk-Neutral Valuation

    Distinguish pricing probabilities from physical forecasts.

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

    Follow diffusion-based models and their assumptions.

  4. ARCH and GARCH

    Separate conditional volatility from observed returns.

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

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

  2. Stochastic Volatility and the Heston Model

    Study a correlated stochastic-variance model.

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

    Interpret prices across strikes and expiries.

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