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Long Memory Persistence in the Factor of Implied Volatility Dynamics

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Author Info
Wolfgang Härdle
Julius Mungo

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Abstract

The volatility implied by observed market prices as a function of the strike and time to maturity form an Implied Volatility Surface (IV S). Practical applications require reducing the dimension and characterize its dynamics through a small number of factors. Such dimension reduction is summarized by a Dynamic Semiparametric Factor Model (DSFM) that characterizes the IV S itself and their movements across time by a multivariate time series of factor loadings. This paper focuses on investigating long range dependence in the factor loadings series. Our result reveals that shocks to volatility persist for a very long time, affecting significantly stock prices. For appropriate representation of the series dynamics and the possibility of improved forecasting, we model the long memory in levels and absolute returns using the class of fractional integrated volatility models that provide flexible structure to capture the slow decaying autocorrelation function reasonably well.

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Paper provided by Sonderforschungsbereich 649, Humboldt University, Berlin, Germany in its series SFB 649 Discussion Papers with number SFB649DP2007-027.

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Length: 34
Date of creation: May 2007
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Handle: RePEc:hum:wpaper:sfb649dp2007-027

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Keywords: Implied Volatility Dynamic Semiparametric Factor Modeling Long Memory Fractional Integrated Volatility Models.

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Find related papers by JEL classification:
C14 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods: General - - - Semiparametric and Nonparametric Methods
C32 - Mathematical and Quantitative Methods - - Multiple or Simultaneous Equation Models; Multiple Variables - - - Time-Series Models
C52 - Mathematical and Quantitative Methods - - Econometric Modeling - - - Model Evaluation and Testing
C53 - Mathematical and Quantitative Methods - - Econometric Modeling - - - Forecasting and Other Model Applications
G12 - Financial Economics - - General Financial Markets - - - Asset Pricing

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  22. Enzo Giacomini & Michael Handel & Wolfgang K. Härdle, 2006. "Time Dependent Relative Risk Aversion," SFB 649 Discussion Papers SFB649DP2006-020, Sonderforschungsbereich 649, Humboldt University, Berlin, Germany. [Downloadable!]
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(explanations, Please report citation or reference errors to , or , if you are the registered author of the cited work, log in to your RePEc Author Service profile, click on "citations" and make appropriate adjustments.)

  1. Marcus Wagner, 2007. "Determinants of the Acquisition of Smaller Firms by Larger Incumbents in High-Tech Industries: Are they related to Innovation and Technology Sourcing?," SFB 649 Discussion Papers SFB649DP2007-063, Sonderforschungsbereich 649, Humboldt University, Berlin, Germany. [Downloadable!]
  2. Volodymyr Perederiy, 2007. "Kombinierte Liquiditäts- und Solvenzkennzahlen und ein darauf basierendes Insolvenzprognosemodell für deutsche GmbHs," SFB 649 Discussion Papers SFB649DP2007-060, Sonderforschungsbereich 649, Humboldt University, Berlin, Germany. [Downloadable!]
  3. Sebastian Braun & Juliane Scheffel, 2007. "Does International Outsourcing Depress Union Wages?," SFB 649 Discussion Papers SFB649DP2007-033, Sonderforschungsbereich 649, Humboldt University, Berlin, Germany. [Downloadable!]
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