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Constrained General Regression in Pseudo-Sobolev Spaces with Application to Option Pricing

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Author Info
Zdenek Hlavka
Michal Pesta
Abstract

State price density (SPD) contains important information concerning market expectations. In existing literature, a constrained estimator of the SPD is found by nonlinear least squares in a suitable Sobolev space. We improve the behavior of this estimator by implementing a covariance structure taking into account the time of the trade and by considering simultaneously both the observed Put and Call option prices.

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Paper provided by Sonderforschungsbereich 649, Humboldt University, Berlin, Germany in its series SFB 649 Discussion Papers with number SFB649DP2006-069.

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Length: 50 pages
Date of creation: Sep 2006
Date of revision:
Handle: RePEc:hum:wpaper:sfb649dp2006-069

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Related research
Keywords: isotonic regression; Sobolev spaces; monotonicity; multiple observations; covariance structure; option price;

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Find related papers by JEL classification:
C10 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods: General - - - General
C13 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods: General - - - Estimation
C14 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods: General - - - Semiparametric and Nonparametric Methods
C20 - Mathematical and Quantitative Methods - - Single Equation Models; Single Variables - - - General
C88 - Mathematical and Quantitative Methods - - Data Collection and Data Estimation Methodology; Computer Programs - - - Other Computer Software
G13 - Financial Economics - - General Financial Markets - - - Contingent Pricing; Futures Pricing

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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.:
  1. Neville Francis & Valerie A. Ramey, 2006. "The Source of Historical Economic Fluctuations: An Analysis using Long-Run Restrictions," NBER Chapters, in: NBER International Seminar on Macroeconomics 2004, pages 17-74 National Bureau of Economic Research, Inc.
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  2. Enzo Weber, 2006. "Common and Uncommon Sources of Growth in Asia Pacific," SFB 649 Discussion Papers SFB649DP2006-064, Sonderforschungsbereich 649, Humboldt University, Berlin, Germany. [Downloadable!]
    Other versions:
  3. Enzo Weber, 2006. "The Euro and the Transatlantic Capital Market Leadership: A Recursive Cointegration Analysis," SFB 649 Discussion Papers SFB649DP2006-056, Sonderforschungsbereich 649, Humboldt University, Berlin, Germany. [Downloadable!]
  4. Benjamin Bental & Dominique Demougin, 2006. "Institutions, Bargaining Power and Labor Shares," SFB 649 Discussion Papers SFB649DP2006-009, Sonderforschungsbereich 649, Humboldt University, Berlin, Germany. [Downloadable!]
  5. Carsten Trenkler & Pentti Saikkonen & Helmut Luetkepohl, 2006. "Testing for the Cointegrating Rank of a VAR Process with Level Shift and Trend Break," Economics Working Papers ECO2006/29, European University Institute. [Downloadable!]
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  6. Taleb Ahmad & Wolfgang Härdle & Julius Mungo, 2006. "On the Difficulty to Design Arabic E-learning System in Statistics," SFB 649 Discussion Papers SFB649DP2006-062, Sonderforschungsbereich 649, Humboldt University, Berlin, Germany. [Downloadable!]
  7. Denis Belomestny & Markus Reiß, 2006. "Spectral calibration of exponential Lévy Models [2]," SFB 649 Discussion Papers SFB649DP2006-035, Sonderforschungsbereich 649, Humboldt University, Berlin, Germany. [Downloadable!]
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  8. Enzo Weber, 2006. "British Interest Rate Convergence Between The Us And Europe: A Recursive Cointegration Analysis," Icfai University Journal of Monetary Economics, Icfai Press, vol. 0(4), pages 29-47, November.
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  9. Dominique Demougin & Anja Schöttner, 2006. "Technological Choice under Organizational Diseconomies of Scale," SFB 649 Discussion Papers SFB649DP2006-028, Sonderforschungsbereich 649, Humboldt University, Berlin, Germany. [Downloadable!]
  10. Kurt Geppert & Martin Gornig & Axel Werwatz, 2005. "Economic Growth of Agglomerations and Geographic Concentration of Industries: Evidence for Germany," Discussion Papers of DIW Berlin 513, DIW Berlin, German Institute for Economic Research. [Downloadable!]
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  11. Ralf Brüggemann & Helmut Lütkepohl & Massimiliano Marcellino, 2006. "Forecasting Euro-Area Variables with German Pre-EMU Data," SFB 649 Discussion Papers SFB649DP2006-065, Sonderforschungsbereich 649, Humboldt University, Berlin, Germany. [Downloadable!]
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  12. Harald Uhlig, 2006. "Approximate Solutions to Dynamic Models - Linear Methods," SFB 649 Discussion Papers SFB649DP2006-030, Sonderforschungsbereich 649, Humboldt University, Berlin, Germany. [Downloadable!]
  13. Wolfgang Härdle & Sigbert Klinke & Uwe Ziegenhagen, 2006. "e-Learning Statistics - A Selective Review," SFB 649 Discussion Papers SFB649DP2006-024, Sonderforschungsbereich 649, Humboldt University, Berlin, Germany. [Downloadable!]
  14. Denis Belomestny & Pavel V. Gapeev, 2006. "An Iteration Procedure for Solving Integral Equations Related to Optimal Stopping Problems," SFB 649 Discussion Papers SFB649DP2006-043, Sonderforschungsbereich 649, Humboldt University, Berlin, Germany. [Downloadable!]
  15. Denis Belomestny & Grigori N. Milstein & Vladimir Spokoiny, 2006. "Regression methods in pricing American and Bermudan options using consumption processes," SFB 649 Discussion Papers SFB649DP2006-051, Sonderforschungsbereich 649, Humboldt University, Berlin, Germany. [Downloadable!]
  16. 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!]
  17. Bernd Görzig & Martin Gornig & Axel Werwatz, 2004. "East Germany's Wage Gap: A Non-Parametric Decomposition Based on Establishment Characteristics," Discussion Papers of DIW Berlin 451, DIW Berlin, German Institute for Economic Research. [Downloadable!]
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  18. Harald Uhlig, 2004. "Discussion of "The Source of Historical Economic Fluctuations: An Analysis using Long-Run Restrictions" by Neville Francis and Valerie A. Ramey," SFB 649 Discussion Papers SFB649DP2006-042, Sonderforschungsbereich 649, Humboldt University, Berlin, Germany, revised May 2006. [Downloadable!]
  19. Daniel Hernandez–Hernandez & Alexander Schied, 2006. "A Control Approach to Robust Utility Maximization with Logarithmic Utility and Time-Consistent Penalties," SFB 649 Discussion Papers SFB649DP2006-061, Sonderforschungsbereich 649, Humboldt University, Berlin, Germany. [Downloadable!]
  20. Dominique Demougin & Oliver Fabel, 2006. "The Division of Ownership in New Ventures," SFB 649 Discussion Papers SFB649DP2006-047, Sonderforschungsbereich 649, Humboldt University, Berlin, Germany. [Downloadable!]
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  21. Ralf Brüggemann & Wolfgang Härdle & Julius Mungo & Carsten Trenkler, 2006. "VAR Modeling for Dynamic Semiparametric Factors of Volatility Strings," SFB 649 Discussion Papers SFB649DP2006-011, Sonderforschungsbereich 649, Humboldt University, Berlin, Germany. [Downloadable!]
  22. Bernd Görzig & Martin Gornig & Axel Werwatz, 2006. "Firm Specific Wage Spread in Germany - Decomposition of regional differences in inter firm wage dispersion," SFB 649 Discussion Papers SFB649DP2006-045, Sonderforschungsbereich 649, Humboldt University, Berlin, Germany. [Downloadable!]
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