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Vine Copula-Cross Entropy Evaluation of Dependence Structure and Financial Risk in Agricultural Commodity Index Returns

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Book cover Modeling Dependence in Econometrics

Part of the book series: Advances in Intelligent Systems and Computing ((AISC,volume 251))

Abstract

Many studies used the empirical Kendall’s tau to select a preferable ordering of vine copulas or to fix such a sequence. In this study, for high dimension vine copulas, we propose the vine copula based cross entropy method to figure out a more appropriate ordering of the vine copula. The goal of this study is to estimate the non-conditional, conditional, and tail dependences for agricultural price index returns by using the C-vine and D-vine copula based cross entropy model. In addition, we show that a framework uses the Monte Carlo simulation and the results of vine copula to estimate the expected shortfall (ES) of an equally weighted portfolio. The optimal portfolio allocations can also be estimated using global optimization with the differential evolution algorithm.

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References

  1. Sriboonchitta, S., Nguyen, H.T., Wiboonpongse, A., Liu, J.: Modeling volatility and dependency of agricultural price and production indices of Thailand: Static versus time-varying copulas. International Journal of Approximate Reasoning 54, 793–808 (2013)

    Article  Google Scholar 

  2. Huang, J.J., Lee, K.J., Liang, H., Lin, W.F.: Estimating value at risk of portfolio by conditional copula-GARCH method. Insurance: Mathematics and Economics 45, 315–324 (2009)

    Article  MathSciNet  MATH  Google Scholar 

  3. Liebscher, E.: Construction of asymmetric multivariate copulas. Journal of Multivariate Analysis 99, 2234–2250 (2008)

    Article  MathSciNet  MATH  Google Scholar 

  4. Charpentier, Segers, J.: Tails of multivariate Archimedean copulas. Journal of Multivariate Analysis 100, 1521–1537 (2009)

    Article  MathSciNet  MATH  Google Scholar 

  5. Nikoloulopoulos, A.K., Joe, H., Li, H.: Vine copulas with asymmetric tail dependence and applications to financial return data. Computational Statistics and Data Analysis 56, 3659–3673 (2012)

    Article  MathSciNet  MATH  Google Scholar 

  6. Aas, K., Czado, C., Frigessi, A., Bakken, H.: Pair-copula constructions of multiple dependence. Insurance: Mathematics and Economics 44, 182–198 (2009)

    Article  MathSciNet  MATH  Google Scholar 

  7. Gugan, D., Maugis, P.A.: An Econometric Study of Vine Copulas. International Journal of Economics and Finance 2(5), 2–14 (2011)

    Google Scholar 

  8. Czado, C., Schepsmeier, U., Min, A.: Maximum likelihood estimation of mixed C-vines with application to exchange rates. Statistical Modelling 12, 229–255 (2012)

    Article  Google Scholar 

  9. Kurowicka, D., Joe, H.: Dependence modeling, pp. 305–328. World Scientific Publishing, Printed in Singapore (2011)

    Google Scholar 

  10. Engle, R.F., Sheppard, K.: Theoretical and Empirical properties of Dynamic Conditional Correlation Multivariate GARCH. National Bureau of Economic Research (2001)

    Google Scholar 

  11. Jeroen, V.K., Rombouts, Verbeek, M.: Evaluating Portfolio Value-at-Risk using Semi-Parametric GARCH Models. Quantitative Finance, Taylor and Francis Journals 9(6), 737–745 (2009)

    Article  Google Scholar 

  12. Chang, C.L., McAleer, M., Tansuchat, R.: Crude oil hedging strategies using dynamic multivariate GARCH. Energy Economics 33(5), 912–923 (2011)

    Article  Google Scholar 

  13. Joe, H., Hu, T.: Multivariate distributions from mixtures of max-infinitely divisible distributions. Journal of Multivariate Analysis 57(2), 240–265 (1996)

    Article  MathSciNet  MATH  Google Scholar 

  14. Golan, A.: Information and EntropyEconometrics-Editors View. Journal of Econometrics 107, 1–15 (2002)

    Article  MathSciNet  MATH  Google Scholar 

  15. Zellner, A., Tobias, J.: Further Results on Bayesian Method of Moments Analysis of the Multiple Regression Model. International Economic Review 42(1), 121–140 (2001)

    Article  MathSciNet  Google Scholar 

  16. Pandey, M.D.: Minimum cross-entropy method for extreme value estimation using peaks-over-threshold data. Structural Safety 23, 345–363 (2001)

    Article  Google Scholar 

  17. Kullback, S.: Information theory and statistics. Wiley, New York (1959)

    MATH  Google Scholar 

  18. Lind, N.C.: The information-theoretical methods to estimate a random variable. J. Environmental Management 49, 43–51 (1997)

    Article  Google Scholar 

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Correspondence to Songsak Sriboonchitta .

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Sriboonchitta, S., Liu, J., Wiboonpongse, A. (2014). Vine Copula-Cross Entropy Evaluation of Dependence Structure and Financial Risk in Agricultural Commodity Index Returns. In: Huynh, VN., Kreinovich, V., Sriboonchitta, S. (eds) Modeling Dependence in Econometrics. Advances in Intelligent Systems and Computing, vol 251. Springer, Cham. https://doi.org/10.1007/978-3-319-03395-2_18

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  • DOI: https://doi.org/10.1007/978-3-319-03395-2_18

  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-319-03394-5

  • Online ISBN: 978-3-319-03395-2

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