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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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File URL: http://sfb649.wiwi.hu-berlin.de/papers/pdf/SFB649DP2006-069.pdf
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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
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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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  1. 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!]
    Other versions:
  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!]
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  6. Harald Uhlig, 2006. "Approximate Solutions to Dynamic Models - Linear Methods," SFB 649 Discussion Papers SFB649DP2006-030, Sonderforschungsbereich 649, Humboldt University, Berlin, Germany. [Downloadable!]
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  8. 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!]
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  11. 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!]
  12. 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!]
    Other versions:
  13. 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!]
  14. 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!]
  15. 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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  16. 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!]
  17. 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!]
  18. Enzo Weber, 2006. "British Interest Rate Convergence Between The Us And Europe: A Recursive Cointegration Analysis," The Icfai Journal of Monetary Economics, Icfai Press, vol. 0(4), pages 29-47, November.
    Other versions:
  19. 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!]
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