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Optimal Currency Composition for China's Foreign Reserves: A Copula Approach

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  • Zhichao Zhang
  • Li Ding
  • Fan Zhang
  • Zhuang Zhang

Abstract

type="main" xml:id="twec12237-abs-0001"> This paper investigates the optimal currency composition for a country's foreign reserves. In the context of China, we examine the asymmetric, fat-tail and complex dependence structure in distributions of currency returns. A skewed, fat-tailed and pair-copula construction is then built to capture features of higher moments. In a D-vine copula approach, we show that under the disappointment aversion effect, the central bank in our model can achieve sizeable gains in expected economic value from switching from the mean-variance to copula modelling. We find that this approach will lead to an optimal currency composition that allows China to have more space for international currency diversification while maintaining the leading position of the US dollar in the currency shares of China's reserves.

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  • Zhichao Zhang & Li Ding & Fan Zhang & Zhuang Zhang, 2015. "Optimal Currency Composition for China's Foreign Reserves: A Copula Approach," The World Economy, Wiley Blackwell, vol. 38(12), pages 1947-1965, December.
    • Handle: RePEc:bla:worlde:v:38:y:2015:i:12:p:1947-1965
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    as
    1. Dominguez, Kathryn M.E. & Hashimoto, Yuko & Ito, Takatoshi, 2012. "International reserves and the global financial crisis," Journal of International Economics, Elsevier, vol. 88(2), pages 388-406.
    2. Papaioannou, Elias & Portes, Richard & Siourounis, Gregorios, 2006. "Optimal currency shares in international reserves: The impact of the euro and the prospects for the dollar," Journal of the Japanese and International Economies, Elsevier, vol. 20(4), pages 508-547, December.
    3. 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.
    4. 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.
    5. Christoph Schleicher & Matthew Hurd & Mark Salmon, 2005. "Using Copulas to Construct Bivariate Foreign Exchange Distributions with an Application to the Sterling Exchange Rate Index," Computing in Economics and Finance 2005 215, Society for Computational Economics.
    6. John Y. Campbell & Luis M. Viceira, 1999. "Consumption and Portfolio Decisions when Expected Returns are Time Varying," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 114(2), pages 433-495.
    7. Andrew J. Patton, 2004. "On the Out-of-Sample Importance of Skewness and Asymmetric Dependence for Asset Allocation," Journal of Financial Econometrics, Oxford University Press, vol. 2(1), pages 130-168.
    8. Campbell, Rachel & Huisman, Ronald & Koedijk, Kees, 2001. "Optimal portfolio selection in a Value-at-Risk framework," Journal of Banking & Finance, Elsevier, vol. 25(9), pages 1789-1804, September.
    9. repec:dau:papers:123456789/2332 is not listed on IDEAS
    10. Roland Beck & Sebastian Weber, 2011. "Should Larger Reserve Holdings Be More Diversified?," International Finance, Wiley Blackwell, vol. 14(3), pages 415-444, December.
    11. Ang, Andrew & Bekaert, Geert & Liu, Jun, 2005. "Why stocks may disappoint," Journal of Financial Economics, Elsevier, vol. 76(3), pages 471-508, June.
    12. François Longin & Bruno Solnik, 2001. "Extreme Correlation of International Equity Markets," Journal of Finance, American Finance Association, vol. 56(2), pages 649-676, April.
    13. 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.
    14. Gul, Faruk, 1991. "A Theory of Disappointment Aversion," Econometrica, Econometric Society, vol. 59(3), pages 667-686, May.
    15. Menzie D. Chinn & Jeffrey A. Frankel, 2008. "The Euro May Over the Next 15 Years Surpass the Dollar as Leading International Currency," NBER Working Papers 13909, National Bureau of Economic Research, Inc.
    16. Richard H. Clarida, 2007. "G7 Current Account Imbalances: Sustainability and Adjustment," NBER Books, National Bureau of Economic Research, Inc, number clar06-2, May.
    17. Francesco Paolo Natale, 2008. "Optimisation in the presence of tail-dependence and tail risk: A heuristic approach for strategic asset allocation," Journal of Asset Management, Palgrave Macmillan, vol. 8(6), pages 374-400, February.
    18. Menzie Chinn & Jeffrey A. Frankel, 2007. "Will the Euro Eventually Surpass the Dollar as Leading International Reserve Currency?," NBER Chapters, in: G7 Current Account Imbalances: Sustainability and Adjustment, pages 283-338, National Bureau of Economic Research, Inc.
    19. Christoffersen, Peter & Langlois, Hugues, 2013. "The Joint Dynamics of Equity Market Factors," Journal of Financial and Quantitative Analysis, Cambridge University Press, vol. 48(5), pages 1371-1404, October.
    20. Brendan O. Bradley & Murad S. Taqqu, 2004. "An Extreme Value Theory Approach To The Allocation Of Multiple Assets," International Journal of Theoretical and Applied Finance (IJTAF), World Scientific Publishing Co. Pte. Ltd., vol. 7(08), pages 1031-1068.
    21. Dellas, Harris & Bang Yoo, Chin, 1991. "Reserve currency preferences of central banks: the case of Korea," Journal of International Money and Finance, Elsevier, vol. 10(3), pages 406-419, September.
    22. Kee-Hong Bae & G. Andrew Karolyi & René M. Stulz, 2003. "A New Approach to Measuring Financial Contagion," The Review of Financial Studies, Society for Financial Studies, vol. 16(3), pages 717-763, July.
    23. Ang, Andrew & Chen, Joseph, 2002. "Asymmetric correlations of equity portfolios," Journal of Financial Economics, Elsevier, vol. 63(3), pages 443-494, March.
    24. Yongmiao Hong & Jun Tu & Guofu Zhou, 2006. "Asymmetries in Stock Returns: Statistical Tests and Economic Evaluation," The Review of Financial Studies, Society for Financial Studies, vol. 20(5), pages 1547-1581, 2007 23.
    25. Kjersti Aas & Daniel Berg, 2009. "Models for construction of multivariate dependence - a comparison study," The European Journal of Finance, Taylor & Francis Journals, vol. 15(7-8), pages 639-659.
    26. Yacine AÏT‐SAHALI & Michael W. Brandt, 2001. "Variable Selection for Portfolio Choice," Journal of Finance, American Finance Association, vol. 56(4), pages 1297-1351, August.
    27. Wang, Zong-Run & Chen, Xiao-Hong & Jin, Yan-Bo & Zhou, Yan-Ju, 2010. "Estimating risk of foreign exchange portfolio: Using VaR and CVaR based on GARCH–EVT-Copula model," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 389(21), pages 4918-4928.
    28. Michael P. Dooley & J. Saul Lizondo & Donald J. Mathieson, 1989. "The Currency Composition of Foreign Exchange Reserves," IMF Staff Papers, Palgrave Macmillan, vol. 36(2), pages 385-434, June.
    29. David A. Hennessy & Harvey E. Lapan, 2002. "The Use of Archimedean Copulas to Model Portfolio Allocations," Mathematical Finance, Wiley Blackwell, vol. 12(2), pages 143-154, April.
    30. Garcia, René & Tsafack, Georges, 2011. "Dependence structure and extreme comovements in international equity and bond markets," Journal of Banking & Finance, Elsevier, vol. 35(8), pages 1954-1970, August.
    31. Dias, Alexandra & Embrechts, Paul, 2010. "Modeling exchange rate dependence dynamics at different time horizons," Journal of International Money and Finance, Elsevier, vol. 29(8), pages 1687-1705, December.
    32. Cécile Kharoubi & Thierry Ané, 2003. "Dependance Structure and Risk Measure," Post-Print halshs-00165144, HAL.
    33. Eichengreen, Barry & Mathieson, Donald J., "undated". "The Currency Composition of Foreign Exchange Reserves Retrospect and Prospect," WIDER Working Papers 295509, United Nations University, World Institute for Development Economic Research (UNU-WIDER).
    34. John Ryan, 2009. "China and the Global Roles of Currencies," Working Papers 2009.8, International Network for Economic Research - INFER.
    35. Bouye, Eric & Durlleman, Valdo & Nikeghbali, Ashkan & Riboulet, Gaël & Roncalli, Thierry, 2000. "Copulas for finance," MPRA Paper 37359, University Library of Munich, Germany.
    36. Robert T. Clemen & Terence Reilly, 1999. "Correlations and Copulas for Decision and Risk Analysis," Management Science, INFORMS, vol. 45(2), pages 208-224, February.
    37. Susan Thorp & George Milunovich, 2005. "Asymmetric Risk and International Portfolio Choice," Research Paper Series 160, Quantitative Finance Research Centre, University of Technology, Sydney.
    38. Anthony Hatherley & Jamie Alcock, 2007. "Portfolio construction incorporating asymmetric dependence structures: a user's guide," Accounting and Finance, Accounting and Finance Association of Australia and New Zealand, vol. 47(3), pages 447-472, September.
    39. Yoshihiro Kitamura, 2011. "The Impact of Order Flow on the Foreign Exchange Market: A Copula Approach," Asia-Pacific Financial Markets, Springer;Japanese Association of Financial Economics and Engineering, vol. 18(1), pages 1-31, March.
    40. Manuel Ammann & Stephan Suss, 2009. "Asymmetric dependence patterns in financial time series," The European Journal of Finance, Taylor & Francis Journals, vol. 15(7-8), pages 703-719.
    41. Andrew J. Patton, 2006. "Modelling Asymmetric Exchange Rate Dependence," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 47(2), pages 527-556, May.
    42. Engle, Robert F, 1982. "Autoregressive Conditional Heteroscedasticity with Estimates of the Variance of United Kingdom Inflation," Econometrica, Econometric Society, vol. 50(4), pages 987-1007, July.
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    Cited by:

    1. Kjersti Aas, 2016. "Pair-Copula Constructions for Financial Applications: A Review," Econometrics, MDPI, vol. 4(4), pages 1-15, October.

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