IDEAS home Printed from https://ideas.repec.org/p/hum/wpaper/sfb649dp2009-031.html
   My bibliography  Save this paper

De copulis non est disputandum - Copulae: An Overview

Author

Listed:
  • Wolfgang Härdle
  • Ostap Okhrin

Abstract

Normal distribution of the residuals is the traditional assumption in the classical multivariate time series models. Nevertheless it is not very often consistent with the real data. Copulae allows for an extension of the classical time series models to nonelliptically distributed residuals. In this paper we apply different copulae to the calculation of the static and dynamic Value-at-Risk of portfolio returns and Profit-and-Loss function. In our findings copula based multivariate model provide better results than those based on the normal distribution.

Suggested Citation

  • Wolfgang Härdle & Ostap Okhrin, 2009. "De copulis non est disputandum - Copulae: An Overview," SFB 649 Discussion Papers SFB649DP2009-031, Sonderforschungsbereich 649, Humboldt University, Berlin, Germany.
  • Handle: RePEc:hum:wpaper:sfb649dp2009-031
    as

    Download full text from publisher

    File URL: http://sfb649.wiwi.hu-berlin.de/papers/pdf/SFB649DP2009-031.pdf
    Download Restriction: no

    References listed on IDEAS

    as
    1. Fougere, Denis & Le Bihan, Herve & Sevestre, Patrick, 2007. "Heterogeneity in Consumer Price Stickiness: A Microeconometric Investigation," Journal of Business & Economic Statistics, American Statistical Association, vol. 25, pages 247-264, July.
    2. N. Gregory Mankiw & Ricardo Reis, 2002. "Sticky Information versus Sticky Prices: A Proposal to Replace the New Keynesian Phillips Curve," The Quarterly Journal of Economics, Oxford University Press, vol. 117(4), pages 1295-1328.
    3. Timothy Cogley & Argia M. Sbordone, 2006. "Trend inflation and inflation persistence in the New Keynesian Phillips curve," Staff Reports 270, Federal Reserve Bank of New York.
    4. Richard Mash, 2004. "Optimising Microfoundations for Inflation Persistence," Economics Series Working Papers 183, University of Oxford, Department of Economics.
    5. Jeffrey R. Campbell & Benjamin Eden, 2014. "Rigid Prices: Evidence From U.S. Scanner Data," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 55, pages 423-442, May.
    6. Dixit, Avinash K & Stiglitz, Joseph E, 1977. "Monopolistic Competition and Optimum Product Diversity," American Economic Review, American Economic Association, vol. 67(3), pages 297-308, June.
    7. Alexander L. Wolman, 1999. "Sticky prices, marginal cost, and the behavior of inflation," Economic Quarterly, Federal Reserve Bank of Richmond, issue Fall, pages 29-48.
    8. Lorenz Goette & Rudolf Minsch & Jean-Robert Tyran, 2005. "Micro Evidence on the Adjustment of Sticky-Price Goods: It's How Often, not How Much," Discussion Papers 05-20, University of Copenhagen. Department of Economics.
    9. Richard Mash, 2004. "Optimising microfoundations for observed inflation persistence," Money Macro and Finance (MMF) Research Group Conference 2003 60, Money Macro and Finance Research Group.
    10. Alvarez González, Luis Julián, 2008. "What Do Micro Price Data Tell Us on the Validity of the New Keynesian Phillips Curve?," Economics - The Open-Access, Open-Assessment E-Journal, Kiel Institute for the World Economy (IfW), vol. 2, pages 1-36.
    11. Emmanuel Dhyne & Luis J. Alvarez & Herve Le Bihan & Giovanni Veronese & Daniel Dias & Johannes Hoffmann & Nicole Jonker & Patrick Lunnemann & Fabio Rumler & Jouko Vilmunen, 2006. "Price Changes in the Euro Area and the United States: Some Facts from Individual Consumer Price Data," Journal of Economic Perspectives, American Economic Association, vol. 20(2), pages 171-192, Spring.
    12. Mark Bils & Peter J. Klenow & Benjamin A. Malin, 2012. "Reset Price Inflation and the Impact of Monetary Policy Shocks," American Economic Review, American Economic Association, pages 2798-2825.
    13. Sheedy, Kevin D., 2010. "Intrinsic inflation persistence," Journal of Monetary Economics, Elsevier, vol. 57(8), pages 1049-1061, November.
    14. Calvo, Guillermo A., 1983. "Staggered prices in a utility-maximizing framework," Journal of Monetary Economics, Elsevier, vol. 12(3), pages 383-398, September.
    15. Meyer-Gohde, Alexander, 2010. "Linear rational-expectations models with lagged expectations: A synthetic method," Journal of Economic Dynamics and Control, Elsevier, vol. 34(5), pages 984-1002, May.
    16. James Costain & Anton Nakov, 2011. "Price Adjustments in a General Model of State‐Dependent Pricing," Journal of Money, Credit and Banking, Blackwell Publishing, vol. 43, pages 385-406, March.
    17. Jeff Fuhrer & George Moore, 1995. "Inflation Persistence," The Quarterly Journal of Economics, Oxford University Press, vol. 110(1), pages 127-159.
    Full references (including those not matched with items on IDEAS)

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    Cited by:

    1. Roland Strausz, 2009. "The Political Economy of Regulatory Risk," SFB 649 Discussion Papers SFB649DP2009-040, Sonderforschungsbereich 649, Humboldt University, Berlin, Germany.
    2. Michał Grajek & Lars-Hendrik Röller, 2012. "Regulation and Investment in Network Industries: Evidence from European Telecoms," Journal of Law and Economics, University of Chicago Press, vol. 55(1), pages 189-216.
    3. Fabrizio Durante & Roberto Ghiselli-Ricci, 2012. "Supermigrative copulas and positive dependence," AStA Advances in Statistical Analysis, Springer;German Statistical Society, vol. 96(3), pages 327-342, July.
    4. Barbara Choroś & Wolfgang Härdle & Ostap Okhrin, 2009. "CDO and HAC," SFB 649 Discussion Papers SFB649DP2009-038, Sonderforschungsbereich 649, Humboldt University, Berlin, Germany.
    5. Thorsten Dickhaus & Jakob Gierl, 2012. "Simultaneous test procedures in terms of p-value copulae," SFB 649 Discussion Papers SFB649DP2012-049, Sonderforschungsbereich 649, Humboldt University, Berlin, Germany.
    6. Gery Geenens & Arthur Charpentier & Davy Paindaveine, 2014. "Probit Transformation for Nonparametric Kernel Estimation of the Copula Density," Working Papers ECARES ECARES 2014-23, ULB -- Universite Libre de Bruxelles.
    7. repec:spr:astaws:v:11:y:2017:i:2:d:10.1007_s11943-017-0205-9 is not listed on IDEAS
    8. Maria Grith & Wolfgang Härdle & Juhyun Park, 2009. "Shape invariant modelling pricing kernels and risk aversion," SFB 649 Discussion Papers SFB649DP2009-041, Sonderforschungsbereich 649, Humboldt University, Berlin, Germany.

    More about this item

    Keywords

    copula; multivariate distribution; value-at-risk; multivariate dependence;

    JEL classification:

    • C13 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods and Methodology: General - - - Estimation: General
    • C14 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods and Methodology: General - - - Semiparametric and Nonparametric Methods: General
    • C50 - Mathematical and Quantitative Methods - - Econometric Modeling - - - General

    NEP fields

    This paper has been announced in the following NEP Reports:

    Statistics

    Access and download statistics

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:hum:wpaper:sfb649dp2009-031. See general information about how to correct material in RePEc.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: (RDC-Team). General contact details of provider: http://edirc.repec.org/data/sohubde.html .

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    We have no references for this item. You can help adding them by using this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service hosted by the Research Division of the Federal Reserve Bank of St. Louis . RePEc uses bibliographic data supplied by the respective publishers.