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The International CAPM and a wavelet-based decomposition of Value at Risk

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  • Viviana Fernandez

Abstract

In this article, we formulate a time-scale decomposition of an international version of the CAPM that accounts for both market and exchange-rate risk. In addition, we derive an analytical formula for time-scale value at risk and marginal value at risk (VaR) of a portfolio. We apply our methodology to stock indices of seven emerging economies belonging to Latin America and Asia, for the sample period 1990-2004. Our main conclusions are the following. First, the estimation results hinge upon the choice of the world market portfolio. In particular, the stock markets of the sampled countries appear to be more integrated with other emerging countries than with developed ones. Second, value at risk depends on the investor's time horizon. In the short run, potential losses are greater than in the long run. Third, additional exposure to some specific stock indices will increase value at risk to a greater extent, depending on the investment horizon. Our results go in line with recent research in asset pricing that stresses the importance of heterogeneous investors.

Suggested Citation

  • Viviana Fernandez, 2005. "The International CAPM and a wavelet-based decomposition of Value at Risk," The Institute for International Integration Studies Discussion Paper Series iiisdp075, IIIS.
    • Handle: RePEc:iis:dispap:iiisdp075
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    1. Ramsey James B. & Lampart Camille, 1998. "The Decomposition of Economic Relationships by Time Scale Using Wavelets: Expenditure and Income," Studies in Nonlinear Dynamics & Econometrics, De Gruyter, vol. 3(1), pages 1-22, April.
    2. Fama, Eugene F & French, Kenneth R, 1992. "The Cross-Section of Expected Stock Returns," Journal of Finance, American Finance Association, vol. 47(2), pages 427-465, June.
    3. Lin Shinn-Juh & Stevenson Maxwell, 2001. "Wavelet Analysis of the Cost-of-Carry Model," Studies in Nonlinear Dynamics & Econometrics, De Gruyter, vol. 5(1), pages 1-17, April.
    4. James Ramsey, 1999. "Regression over Timescale Decompositions: A Sampling Analysis of Distributional Properties," Economic Systems Research, Taylor & Francis Journals, vol. 11(2), pages 163-184.
    5. Ramsey, James B. & Zhang, Zhifeng, 1997. "The analysis of foreign exchange data using waveform dictionaries," Journal of Empirical Finance, Elsevier, vol. 4(4), pages 341-372, December.
    6. Gençay, Ramazan & Selçuk, Faruk & Whitcher, Brandon, 2001. "Differentiating intraday seasonalities through wavelet multi-scaling," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 289(3), pages 543-556.
    7. Solnik, B H, 1974. "The International Pricing of Risk: An Empirical Investigation of the World Capital Market Structure," Journal of Finance, American Finance Association, vol. 29(2), pages 365-378, May.
    8. Dumas, Bernard & Solnik, Bruno, 1995. "The World Price of Foreign Exchange Risk," Journal of Finance, American Finance Association, vol. 50(2), pages 445-479, June.
    9. De Santis, Giorgio & Gerard, Bruno, 1998. "How big is the premium for currency risk?," Journal of Financial Economics, Elsevier, vol. 49(3), pages 375-412, September.
    10. Ramsey, J.B., 2002. "Wavelets in Economics and Finance: Past and Future," Working Papers 02-02, C.V. Starr Center for Applied Economics, New York University.
    11. Karuppiah, Jeyanthi & Los, Cornelis A., 2005. "Wavelet multiresolution analysis of high-frequency Asian FX rates, Summer 1997," International Review of Financial Analysis, Elsevier, vol. 14(2), pages 211-246.
    12. Connor Jeff & Rossiter Rosemary, 2005. "Wavelet Transforms and Commodity Prices," Studies in Nonlinear Dynamics & Econometrics, De Gruyter, vol. 9(1), pages 1-22, March.
    13. Bollerslev, Tim & Engle, Robert F & Wooldridge, Jeffrey M, 1988. "A Capital Asset Pricing Model with Time-Varying Covariances," Journal of Political Economy, University of Chicago Press, vol. 96(1), pages 116-131, February.
    14. Bernard Dumas, 1994. "A Test of the International CAPM Using Business Cycles Indicators as Instrumental Variables," NBER Chapters, in: The Internationalization of Equity Markets, pages 23-58, National Bureau of Economic Research, Inc.
    15. Adler, Michael & Dumas, Bernard, 1983. "International Portfolio Choice and Corporation Finance: A Synthesis," Journal of Finance, American Finance Association, vol. 38(3), pages 925-984, June.
    16. Engle, Robert F & Lilien, David M & Robins, Russell P, 1987. "Estimating Time Varying Risk Premia in the Term Structure: The Arch-M Model," Econometrica, Econometric Society, vol. 55(2), pages 391-407, March.
    17. Stulz, ReneM., 1981. "A model of international asset pricing," Journal of Financial Economics, Elsevier, vol. 9(4), pages 383-406, December.
    18. Ramsey James B., 2002. "Wavelets in Economics and Finance: Past and Future," Studies in Nonlinear Dynamics & Econometrics, De Gruyter, vol. 6(3), pages 1-29, November.
    19. Gencay, Ramazan & Selcuk, Faruk & Whitcher, Brandon, 2004. "Information flow between volatilities across time scales," MPRA Paper 10355, University Library of Munich, Germany.
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    More about this item

    Keywords

    wavelets; ICAPM; value at risk.;
    All these keywords.

    JEL classification:

    • C22 - Mathematical and Quantitative Methods - - Single Equation Models; Single Variables - - - Time-Series Models; Dynamic Quantile Regressions; Dynamic Treatment Effect Models; Diffusion Processes
    • G15 - Financial Economics - - General Financial Markets - - - International Financial Markets

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