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Short-time behavior of the At-The-Money implied volatility for the jump-diffusion stochastic volatility Bachelier model
Elisa Alòs / Josep Vives / Òscar Burés
jump processes / stochastic calculusResource overview

Short-time behavior of the At-The-Money implied volatility for the jump-diffusion stochastic volatility Bachelier model

Paper2025

by Elisa Alòs, Josep Vives, Òscar Burés

Tags
jump processesstochastic calculus

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Suggested foundations for volatility models and surfaces and stochastic processes and pricing. Specialist prerequisites vary by paper.

Before you read

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

    Follow Brownian dynamics and the second-order term in Itô calculus.

  2. ARCH and GARCH

    Separate conditional volatility from observed returns.

  3. Conditional Expectation

    Understand what it means to condition on current information.

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. Market Model and Risk-Neutral Valuation

    Connect stochastic dynamics to no-arbitrage prices.

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