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Semi-analytical pricing of barrier options in the time-dependent $λ$-SABR model
Andrey Itkin / Dmitry Muravey
numerical methods / option pricingResource overview

Semi-analytical pricing of barrier options in the time-dependent $λ$-SABR model

Paper2021

by Andrey Itkin, Dmitry Muravey

Tags
numerical methodsoption pricing

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Suggested foundations for options and derivatives pricing and optimisation and numerical methods. 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. Vectors, Matrices and Linear Systems

    Read the linear algebra used to define a numerical problem.

  4. Constrained and Convex Optimisation

    Identify the objective, constraints and conditions for an optimum.

Go further

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

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

  2. Calibration as an Inverse Problem

    Understand identifiability and fitted model parameters.

  3. Numerical Conditioning and Stability

    Separate model error from unstable numerical computation.

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Lesson links open public previews. Access to full lessons depends on the topic and your membership.

Explore Derivatives Pricing and Computational Finance Explore Linear Algebra, Optimisation and Numerical Methods

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