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

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Viviana Fernández ()

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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, 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.

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Paper provided by Centro de Economía Aplicada, Universidad de Chile in its series Documentos de Trabajo with number 203.

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Date of creation: 2005
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Handle: RePEc:edj:ceauch:203

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This paper has been announced in the following NEP Reports: References listed on IDEAS
Please report citation or reference errors to , or , if you are the registered author of the cited work, log in to your RePEc Author Service profile, click on "citations" and make appropriate adjustments.:
  1. 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 116-31, February. [Downloadable!] (restricted)
  2. Bernard Dumas, 1994. "A Test of the International CAPM Using Business Cycles Indicators as Instrumental Variables," NBER Working Papers 4657, National Bureau of Economic Research, Inc. [Downloadable!] (restricted)
  3. repec:bep:sndecm:3:1998:1:23-42 is not listed on IDEAS
  4. 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. [Downloadable!]
  5. Ramsey, James B, 1999. "Regression over Timescale Decompositions: A Sampling Analysis of Distributional Properties," Economic Systems Research, Taylor and Francis Journals, vol. 11(2), pages 163-83, June.
  6. repec:bep:sndecm:5:2001:1:87-102 is not listed on IDEAS
  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 365-78, May. [Downloadable!] (restricted)
  8. 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. [Downloadable!] (restricted)
  9. Dumas, B., 1994. "A Test of the International Capm using Business Cycles Indicators as Instrumental Variables," DELTA Working Papers 94-07, DELTA (Ecole normale supérieure).
  10. Stulz, ReneM., 1981. "A model of international asset pricing," Journal of Financial Economics, Elsevier, vol. 9(4), pages 383-406, December. [Downloadable!] (restricted)
  11. 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. [Downloadable!]
  12. 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. [Downloadable!] (restricted)
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Cited by:
(explanations, Please report citation or reference errors to , or , if you are the registered author of the cited work, log in to your RePEc Author Service profile, click on "citations" and make appropriate adjustments.)

  1. Viviana Fernández, 2007. "The behavior of stock returns in the Asia-Pacific mining industry following the Iraq war," Documentos de Trabajo 243, Centro de Economía Aplicada, Universidad de Chile. [Downloadable!]
  2. Viviana Fernandez & Brian M. Lucey, 2006. "Portfolio management implications of volatility shifts: Evidence from simulated data," The Institute for International Integration Studies Discussion Paper Series iiisdp131, IIIS. [Downloadable!]
    Other versions:
  3. Viviana Fernández, 2007. "Multi-period hedge ratios for a multi-asset portfolio when accounting for returns comovement," Documentos de Trabajo 242, Centro de Economía Aplicada, Universidad de Chile. [Downloadable!]
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