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Volatility Bursts: A Discrete-Time Option Model with Multiple Volatility Components*

Francesca Lilla

Journal of Financial Econometrics, 2023, vol. 21, issue 3, 678-713

Abstract: I propose an affine discrete-time model, called Vector Autoregressive Gamma with volatility Bursts (VARG-B) in which volatility experiences, in addition to frequent and small changes, periods of sudden and extreme movements generated by a latent factor which evolves according to the Autoregressive Gamma Zero process. A key advantage of the discrete-time specification is the possibility of estimating the model using Kalman Filter techniques. Moreover, the VARG-B model leads to a fully analytic conditional Laplace transform which boils down to a closed-form option pricing formula. When estimated on S&P500 index options and returns, the new model provides more accurate option pricing and modeling of the IV surface compared with some alternative models.

Keywords: ARG-zero; Kalman filter; option pricing; realized volatility; volatility bursts (search for similar items in EconPapers)
JEL-codes: C13 G12 G13 (search for similar items in EconPapers)
Date: 2023
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