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Dependence Analysis between Foreign Exchange Rates: A Semi-Parametric Copula Approach

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  • Azam, Kazim

    (Vrije Universiteit, Amsterdam)

Abstract

Not only currencies are assets in investor's portfolio, central banks use them for implementing economic policies. This implies existence of some type of dependence pattern among the currencies. We investigate such patterns among daily Deutsche Mark (DM) (Euro later), UK Sterling (GBP) and the Japanese Yen (JPY) exchange rate, all considered against the US Dollar during various economic conditions. To overcome the short-comings of misspecification, normality and linear dependence for such time series, a exible semi-parametric copula methodology is adopted where the marginals are non-parametric but the copula is parametrically specified. Dependence is estimated both as a constant and time-varying measure. During the Pre-Euro period, we nd slightly more dependence when both DM (Euro)/USD and GBP/USD jointly appreciate as compared to joint depreciation, especially in the late 90s. Such results are reversed for GBP/USD and JPY/USD in the early 90s. Post-Euro, DM (Euro)/USD and GBP/USD exhibit stronger dependence when they jointly appreciate, which could indicate preference for price-stability in EU zone. Whereas the dependence of JPY/USD with both DM (Euro)/USD and GBP/USD is stronger when they jointly depreciate, this could imply preference for export competitiveness among the countries. In the beginning of Recent-Crisis period, DM (EURO)/USD and GBP/USD show more dependence when they jointly depreciate, but later we see the similar tendency for these currencies to be related more when they jointly appreciate. Such measures of asymmetric dependence among the currencies provide vital insight into Central banks preferences and investors portfolio balancing.

Suggested Citation

  • Azam, Kazim, 2014. "Dependence Analysis between Foreign Exchange Rates: A Semi-Parametric Copula Approach," The Warwick Economics Research Paper Series (TWERPS) 1052, University of Warwick, Department of Economics.
    • Handle: RePEc:wrk:warwec:1052
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    as
    1. Engle, Robert F. & Kroner, Kenneth F., 1995. "Multivariate Simultaneous Generalized ARCH," Econometric Theory, Cambridge University Press, vol. 11(1), pages 122-150, February.
    2. Shinji Takagi, 1999. "The Yen and Its East Asian Neighbors 1980-1995: Cooperation or Competition?," NBER Chapters, in: Changes in Exchange Rates in Rapidly Developing Countries: Theory, Practice, and Policy Issues, pages 185-210, National Bureau of Economic Research, Inc.
    3. Umberto Cherubini & Elisa Luciano, 2001. "Value-at-risk Trade-off and Capital Allocation with Copulas," Economic Notes, Banca Monte dei Paschi di Siena SpA, vol. 30(2), pages 235-256, July.
    4. Harvey, Campbell R. & Siddique, Akhtar, 1999. "Autoregressive Conditional Skewness," Journal of Financial and Quantitative Analysis, Cambridge University Press, vol. 34(4), pages 465-487, December.
    5. Robert F. Engle & Simone Manganelli, 2004. "CAViaR: Conditional Autoregressive Value at Risk by Regression Quantiles," Journal of Business & Economic Statistics, American Statistical Association, vol. 22, pages 367-381, October.
    6. 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.
    7. 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.
    8. Diebold, Francis X & Gunther, Todd A & Tay, Anthony S, 1998. "Evaluating Density Forecasts with Applications to Financial Risk Management," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 39(4), pages 863-883, November.
    9. 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.
    10. Hansen, Bruce E, 1994. "Autoregressive Conditional Density Estimation," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 35(3), pages 705-730, August.
    11. François Longin & Bruno Solnik, 2001. "Extreme Correlation of International Equity Markets," Journal of Finance, American Finance Association, vol. 56(2), pages 649-676, April.
    12. Ito, Takatoshi & Krueger, Anne O. (ed.), 1999. "Changes in Exchange Rates in Rapidly Developing Countries," National Bureau of Economic Research Books, University of Chicago Press, edition 1, number 9780226386737, July.
    13. Gianna Boero & Param Silvapulle & Ainura Tursunalieva, 2011. "Modelling the bivariate dependence structure of exchange rates before and after the introduction of the euro: a semi‐parametric approach," International Journal of Finance & Economics, John Wiley & Sons, Ltd., vol. 16(4), pages 357-374, October.
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    Keywords

    Copula ; exchange rates ; semi-parametric ; time seriescreation-date: 2014;
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