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Specification Analysis of Option Pricing Models Based on Time- Changed Levy Processes

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Author Info
Jingzhi Huang (Penn State)
Liuren Wu (Baruch College)

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Abstract

We analyze the specifications of option pricing models based on time- changed Levy processes. We classify option pricing models based on the structure of the jump component in the underlying return process, the source of stochastic volatility, and the specification of the volatility process itself. Our estimation of a variety of model specifications indicates that to better capture the behavior of the S&P 500 index options, we need to incorporate a high frequency jump component in the return process and generate stochastic volatilities from two different sources, the jump component and the diffusion component.

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Paper provided by EconWPA in its series Finance with number 0401002.

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Length: 48 pages
Date of creation: 08 Jan 2004
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Handle: RePEc:wpa:wuwpfi:0401002

Note: Type of Document - pdf; prepared on WinXP; pages: 48; figures: 3
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Keywords: Option pricing; Levy processes; time change; jumps; Diffusion; stochastic volatility; finite activity; infinite activity; infinite variation.;

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G - Financial Economics

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References listed on IDEAS
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.:
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    Other versions:
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Full references

Cited by:
(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. Peter Carr & Liuren Wu, 2004. "Variance Risk Premia," Finance 0409015, EconWPA. [Downloadable!]
  2. Claudia Ribeiro & Nick Webber, 2006. "Correcting for Simulation Bias in Monte Carlo Methods to Value Exotic Options in Models Driven by Lévy Processes," Applied Mathematical Finance, Taylor and Francis Journals, vol. 13(4), pages 333-352, December. [Downloadable!] (restricted)
  3. Eva Ferreira & Mónica Gago & Angel León & Gonzalo Rubio, 2005. "An empirical comparison of the performance of alternative option pricing models," Investigaciones Economicas, Fundación SEPI, vol. 29(3), pages 483-523, September. [Downloadable!]
    Other versions:
  4. Peter Christoffersen & Redouane Elkamhi & Bruno Feunou & Kris Jacobs, 2009. "Option Valuation with Conditional Heteroskedasticity and Non-Normality," CREATES Research Papers 2009-33, School of Economics and Management, University of Aarhus. [Downloadable!]
  5. Peter Carr & Liuren Wu, 2004. "Stochastic Skew in Currency Options," Finance 0409014, EconWPA. [Downloadable!]
    Other versions:
  6. Francisco Alonso & Roberto Blanco & Gonzalo Rubio, 2005. "Testing the forecasting performace of IBEX 35 option implied risk neutral densities," Banco de España Working Papers 0504, Banco de España. [Downloadable!]
  7. Liuren Wu, 2004. "Dampened Power Law: Reconciling the Tail Behavior of Financial Security Returns," Finance 0401001, EconWPA. [Downloadable!]
    Other versions:
  8. Peter Christoffersen & Kris Jacobs & Chayawat Ornthanalai, 2009. "Exploring Time-Varying Jump Intensities: Evidence from S&P500 Returns and Options," CIRANO Working Papers 2009s-34, CIRANO. [Downloadable!]
  9. Bertholon, H. & Monfort, A. & Pegoraro, F., 2007. "Pricing and Inference with Mixtures of Conditionally Normal Processes," Documents de Travail 188, Banque de France. [Downloadable!]
    Other versions:
  10. Peter Christoffersen & Kris Jacobs & Karim Mimouni, 2007. "Models for S&P500 Dynamics: Evidence from Realized Volatility, Daily Returns, and Option Prices," CREATES Research Papers 2007-37, School of Economics and Management, University of Aarhus. [Downloadable!]
  11. Li, Minqiang, 2008. "Price Deviations of S&P 500 Index Options from the Black-Scholes Formula Follow a Simple Pattern," MPRA Paper 11530, University Library of Munich, Germany. [Downloadable!]
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