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Nonlinear Time Series With Long Memory: A Model for Stochastic Volatility

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Author Info
Paolo Zaffaroni
Peter M. Robinson

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Abstract

We introduce a nonlinear model of stochastic volatility within the class of product type models. It allows different degrees of dependence for the raw series and for the squared series, for instance implying weak dependence in the former and long memory in the latter. We discuss its main statistical properties with respect to the common set of stylized facts characterizing financial assets returns time series dynamics, and apply it to several series of asset returns.

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Paper provided by Financial Markets Group in its series FMG Discussion Papers with number dp253.

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Date of creation: Jan 1997
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Handle: RePEc:fmg:fmgdps:dp253

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  1. Torben G. Andersen & Tim Bollerslev & Francis X. Diebold & Paul Labys, 1999. "The Distribution of Exchange Rate Volatility," Center for Financial Institutions Working Papers 99-08, Wharton School Center for Financial Institutions, University of Pennsylvania. [Downloadable!]
    Other versions:
  2. Peter M Robinson, 2001. "The Memory of Stochastic Volatility Models," STICERD - Econometrics Paper Series /2001/410, Suntory and Toyota International Centres for Economics and Related Disciplines, LSE. [Downloadable!]
    Other versions:
  3. Liudas Giraitis & Peter M Robinson, 2001. "Parametric Estimation under Long-Range Dependence," STICERD - Econometrics Paper Series /2001/416, Suntory and Toyota International Centres for Economics and Related Disciplines, LSE. [Downloadable!]
  4. Javier De Peña & Luis A. Gil-Alana, 2003. "Testing of Nonstationary Cycles in Financial Time Series Data," Faculty Working Papers 15/03, School of Economics and Business Administration, University of Navarra. [Downloadable!]
    Other versions:
  5. Marc Henry & Peter M Robinson, 1998. "Long and Short Memory Conditional Heteroscedasticity in Estimating the Memory Parameter of Levels - (Now published in Econometric Theory, 15 (1999), pp.299-336.)," STICERD - Econometrics Paper Series /1998/357, Suntory and Toyota International Centres for Economics and Related Disciplines, LSE. [Downloadable!]
  6. Nour Meddahi, 2001. "An Eigenfunction Approach for Volatility Modeling," CIRANO Working Papers 2001s-70, CIRANO. [Downloadable!]
  7. Ana Pérez & Esther Ruiz, 2001. "Modelos De Memoria Larga Para Series Económicas Y Financieras," Documentos de Trabajo de Estadística y Econometría ds010101, Universidad Carlos III, Departamento de Estadística y Econometría. [Downloadable!]
  8. Peter M Robinson & Paolo Zaffaroni, 2005. "Pseudo-Maximum Likelihood Estimation of ARCH(8) Models," STICERD - Econometrics Paper Series /2005/495, Suntory and Toyota International Centres for Economics and Related Disciplines, LSE. [Downloadable!]
  9. Josu Arteche, 2002. "Gaussian Semiparametric Estimation in Long Memory in Stochastic Volatility and Signal Plus Noise Models," BILTOKI 200202, Universidad del País Vasco - Departamento de Economía Aplicada III (Econometría y Estadística). [Downloadable!]
    Other versions:
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