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Financial Applications of Copula-Models

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Author Info

  • Penikas, H.

    (State University - Higher School of Economics, Moscow, Russia)

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    Abstract

    The paper aims at introducing copula-models' concepts and its application to solving such financials programs as risk measurement, risk hedging, portfolio optimization, derivatives pricing and duration models evaluation. For the purpose the copula definition is firstly introduced. Then different copula families, model estimation and inference techniques are discussed. A detailed review of relevant literature is provided. Finally the unresolved issues are presented that might well become the subjects of further research.

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    File URL: http://www.econorus.org/repec/journl/2010-7-24-44r.pdf
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    Bibliographic Info

    Article provided by New Economic Association in its journal Journal of the New Economic Association.

    Volume (Year): (2010)
    Issue (Month): 7 ()
    Pages: 24-44

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    Handle: RePEc:nea:journl:y:2010:i:7:p:24-44

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    Related research

    Keywords: copula; archimidienne; extreme; risk; hedging; duration;

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    References

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    1. Bruno Rémillard & Olivier Scaillet, 2006. "Testing For Equality Between Two Copulas," Swiss Finance Institute Research Paper Series 07-24, Swiss Finance Institute.
    2. Fantazzini , Dean, 2009. "Econometric Analysis of Financial Data in Risk Management," Applied Econometrics, Publishing House "SINERGIA PRESS", vol. 14(2), pages 100-127.
    3. Robert T. Clemen & Terence Reilly, 1999. "Correlations and Copulas for Decision and Risk Analysis," Management Science, INFORMS, vol. 45(2), pages 208-224, February.
    4. Hennessy, David A. & Lapan, Harvey E., 2002. "Use of Archimedean Copulas to Model Portfolio Allocations, The," Staff General Research Papers 5223, Iowa State University, Department of Economics.
    5. Lai, YiHao & Chen, Cathy W.S. & Gerlach, Richard, 2009. "Optimal dynamic hedging via copula-threshold-GARCH models," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 79(8), pages 2609-2624.
    6. Kim, Gunky & Silvapulle, Mervyn J. & Silvapulle, Paramsothy, 2007. "Comparison of semiparametric and parametric methods for estimating copulas," Computational Statistics & Data Analysis, Elsevier, vol. 51(6), pages 2836-2850, March.
    7. Huffer, Fred W. & Park, Cheolyong, 2007. "A test for elliptical symmetry," Journal of Multivariate Analysis, Elsevier, vol. 98(2), pages 256-281, February.
    8. Brodsky, Boris & Penikas, Henry & Safaryan, Irina, 2009. "Detection of Structural Breaks in Copula Models," Applied Econometrics, Publishing House "SINERGIA PRESS", vol. 16(4), pages 3-15.
    9. Hofert, Marius, 2008. "Sampling Archimedean copulas," Computational Statistics & Data Analysis, Elsevier, vol. 52(12), pages 5163-5174, August.
    10. Cornelia Savu & Mark Trede, 2008. "Goodness-of-fit tests for parametric families of Archimedean copulas," Quantitative Finance, Taylor & Francis Journals, vol. 8(2), pages 109-116.
    11. Robert J. Myers & Steven D. Hanson, 1996. "Optimal Dynamic Hedging in Unbiased Futures Markets," American Journal of Agricultural Economics, Agricultural and Applied Economics Association, vol. 78(1), pages 13-20.
    12. Murray D. Smith, 2003. "Modelling sample selection using Archimedean copulas," Econometrics Journal, Royal Economic Society, vol. 6(1), pages 99-123, 06.
    13. Sébastien Laurent & Luc Bauwens & Jeroen V. K. Rombouts, 2006. "Multivariate GARCH models: a survey," Journal of Applied Econometrics, John Wiley & Sons, Ltd., vol. 21(1), pages 79-109.
    14. Fantazzini, Dean, 2008. "Credit Risk Management," Applied Econometrics, Publishing House "SINERGIA PRESS", vol. 12(4), pages 84-137.
    15. Elisabetta Strazzera & Margarita Genius, 2004. "The Copula Approach to Sample Selection Modelling: An Application to the Recreational Value of Forests," Working Papers 2004.73, Fondazione Eni Enrico Mattei.
    16. Stephen G. Cecchetti & Robert E. Cumby & Stephen Figlewski, 1986. "Estimation of the optimal futures hedge," Research Working Paper 86-10, Federal Reserve Bank of Kansas City.
    17. van den Goorbergh, Rob W.J. & Genest, Christian & Werker, Bas J.M., 2005. "Bivariate option pricing using dynamic copula models," Insurance: Mathematics and Economics, Elsevier, vol. 37(1), pages 101-114, August.
    18. Fantazzini, Dean, 2009. "The effects of misspecified marginals and copulas on computing the value at risk: A Monte Carlo study," Computational Statistics & Data Analysis, Elsevier, vol. 53(6), pages 2168-2188, April.
    19. Niall Whelan, 2004. "Sampling from Archimedean copulas," Quantitative Finance, Taylor & Francis Journals, vol. 4(3), pages 339-352.
    20. Merton, Robert C, 1973. "An Intertemporal Capital Asset Pricing Model," Econometrica, Econometric Society, vol. 41(5), pages 867-87, September.
    21. Aas, Kjersti & Czado, Claudia & Frigessi, Arnoldo & Bakken, Henrik, 2009. "Pair-copula constructions of multiple dependence," Insurance: Mathematics and Economics, Elsevier, vol. 44(2), pages 182-198, April.
    22. Genest, Christian & Rémillard, Bruno & Beaudoin, David, 2009. "Goodness-of-fit tests for copulas: A review and a power study," Insurance: Mathematics and Economics, Elsevier, vol. 44(2), pages 199-213, April.
    23. Sun, Jiafeng & Frees, Edward W. & Rosenberg, Marjorie A., 2008. "Heavy-tailed longitudinal data modeling using copulas," Insurance: Mathematics and Economics, Elsevier, vol. 42(2), pages 817-830, April.
    24. Rosenberg, Joshua V. & Schuermann, Til, 2006. "A general approach to integrated risk management with skewed, fat-tailed risks," Journal of Financial Economics, Elsevier, vol. 79(3), pages 569-614, March.
    25. repec:sae:ecolab:v:16:y:2006:i:2:p:1-2 is not listed on IDEAS
    26. Fantazzini, Dean, 2008. "An Econometric Analysis of Financial Data in Risk Management," Applied Econometrics, Publishing House "SINERGIA PRESS", vol. 10(2), pages 91-137.
    27. Samuelson, Paul A, 1969. "Lifetime Portfolio Selection by Dynamic Stochastic Programming," The Review of Economics and Statistics, MIT Press, vol. 51(3), pages 239-46, August.
    28. Fantazzini, Dean, 2008. "Econometric Analysis of Financial Data in Risk Management (continuation). Section III: Managing Operational Risk," Applied Econometrics, Publishing House "SINERGIA PRESS", vol. 11(3), pages 87-122.
    29. Ng, Wing Lon, 2008. "Modeling duration clusters with dynamic copulas," Finance Research Letters, Elsevier, vol. 5(2), pages 96-103, June.
    30. Cornelia Savu & Wing Lon Ng, 2005. "The SCoD Model: Analyzing Durations with a Semiparametric Copula Approach-super-," International Review of Finance, International Review of Finance Ltd., vol. 5(1-2), pages 55-74.
    31. Liebscher, Eckhard, 2008. "Construction of asymmetric multivariate copulas," Journal of Multivariate Analysis, Elsevier, vol. 99(10), pages 2234-2250, November.
    32. Thierry Ane & Cecile Kharoubi, 2003. "Dependence Structure and Risk Measure," The Journal of Business, University of Chicago Press, vol. 76(3), pages 411-438, July.
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    Citations

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    Cited by:
    1. Penikas, Henry, 2011. "Copula-Based Price Risk Hedging Models," Applied Econometrics, Publishing House "SINERGIA PRESS", vol. 22(2), pages 3-21.
    2. Bronshtein , Efim & Prokudina, Elena & Gerasimova, Anna & Dubinskaya, Ksenya, 2011. "Estimation of the interdependence of time series of stocks prices based on copula," Applied Econometrics, Publishing House "SINERGIA PRESS", vol. 22(2), pages 22-31.
    3. Travkin, Alexandr, 2013. "Pair copula constructions in portfolio optimization ploblem," Applied Econometrics, Publishing House "SINERGIA PRESS", vol. 32(4), pages 110-133.

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