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INFORMATION-THEORETIC ANALYSIS OF STOCHASTIC VOLATILITY MODELS

Oliver Pfante and Nils Bertschinger ()
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Oliver Pfante: Frankfurt Institute for Advanced Studies, Systemic Risk Group, Frankfurt a. Main, Hesse 60438, Germany
Nils Bertschinger: Frankfurt Institute for Advanced Studies, Systemic Risk Group, Frankfurt a. Main, Hesse 60438, Germany

Advances in Complex Systems (ACS), 2019, vol. 22, issue 01, 1-21

Abstract: Stochastic volatility models describe asset prices St as driven by an unobserved process capturing the random dynamics of volatility σt. We quantify how much information about σt can be inferred from asset prices St in terms of Shannon’s mutual information in a twofold way: theoretically, by means of a thorough study of Heston’s model; from a machine learning perspective, by means of investigating a family of exponential Ornstein–Uhlenbeck (OU) processes fitted on S&P 500 data.

Keywords: Information theory; stochastic volatility; Bayesian analysis (search for similar items in EconPapers)
Date: 2019
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DOI: 10.1142/S021952591850025X

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