IDEAS home Printed from https://ideas.repec.org/p/nbr/nberwo/2303.html
   My bibliography  Save this paper

Tests of International CAPM with Time-Varying Covariances

Author

Listed:
  • Charles Engel
  • Anthony P. Rodrigues

Abstract

We perform maximum likelihood estimation of a model of international asset pricing based on CAPM. We test the restrictions imposed by CAPM against a more general asset pricing model. The "betas" in our CAPM vary over time from two sources -- the supplies of the assets (government obligations of France, Germany, Italy, Japan, the U.K. and the U.S.) change over time, and so do the conditional covariances of returns on these assets. We let the covariances change over time as a function of macroeconomic data. We also estimate the model when the covariances follow a multivariate ARCH process. When the covariance of forecast errors are time-varying, we can identify a modified CAFM model with measurement error -- which we also estimate. We find that the model in which the CAPM restrictions are imposed (which involve cross-equation constraints between coefficients and the variances of the residuals) perform much better when variances are not constant over time. Nonetheless, the CAPM model is rejected in favor of the less restricted model of asset pricing.

Suggested Citation

  • Charles Engel & Anthony P. Rodrigues, 1987. "Tests of International CAPM with Time-Varying Covariances," NBER Working Papers 2303, National Bureau of Economic Research, Inc.
    • Handle: RePEc:nbr:nberwo:2303
    Note: ITI IFM
    as

    Download full text from publisher

    File URL: http://www.nber.org/papers/w2303.pdf
    Download Restriction: no
    ---><---

    Other versions of this item:

    References listed on IDEAS

    as
    1. Hansen, Lars Peter & Hodrick, Robert J, 1980. "Forward Exchange Rates as Optimal Predictors of Future Spot Rates: An Econometric Analysis," Journal of Political Economy, University of Chicago Press, vol. 88(5), pages 829-853, October.
    2. Diebold, Francis X & Nerlove, Marc, 1989. "The Dynamics of Exchange Rate Volatility: A Multivariate Latent Factor Arch Model," Journal of Applied Econometrics, John Wiley & Sons, Ltd., vol. 4(1), pages 1-21, Jan.-Mar..
    3. Hamilton, James D, 1985. "Uncovering Financial Market Expectations of Inflation," Journal of Political Economy, University of Chicago Press, vol. 93(6), pages 1224-1241, December.
    4. Dooley, Michael & Isard, Peter, 1982. "A portfolio-balance rational-expectations model of the dollar-mark exchange rate," Journal of International Economics, Elsevier, vol. 12(3-4), pages 257-276, May.
    5. Frankel, Jeffrey A., 1988. "Recent estimates of time-variation in the conditional variance and in the exchange risk premium," Journal of International Money and Finance, Elsevier, vol. 7(1), pages 115-125, March.
    6. Geweke, John F & Feige, Edgar L, 1979. "Some Joint Tests of the Efficiency of Markets for Forward Foreign Exchange," The Review of Economics and Statistics, MIT Press, vol. 61(3), pages 334-341, August.
    7. Stanley W. Black, 1972. "International money markets and flexible exchange rates," Staff Studies 70, Board of Governors of the Federal Reserve System (U.S.).
    8. Branson, William H. & Halttunen, Hannu & Masson, Paul, 1977. "Exchange rates in the short run: The dollar-dentschemark rate," European Economic Review, Elsevier, vol. 10(3), pages 303-324.
    9. Bollerslev, Tim, 1986. "Generalized autoregressive conditional heteroskedasticity," Journal of Econometrics, Elsevier, vol. 31(3), pages 307-327, April.
    10. 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.
    11. Branson, William H. & Halttunen, Hannu & Masson, Paul, 1979. "Exchange rates in the short run : Some further results," European Economic Review, Elsevier, vol. 12(4), pages 395-402, October.
    12. John F. O. Bilson & Richard C. Marston, 1984. "Exchange Rate Theory and Practice," NBER Books, National Bureau of Economic Research, Inc, number bils84-1, July.
    13. Frankel, Jeffrey A., 1986. "The implications of mean-variance optimization for four questions in international macroeconomics," Journal of International Money and Finance, Elsevier, vol. 5(1, Supple), pages 53-75, March.
    14. Hsieh, David A., 1984. "Tests of rational expectations and no risk premium in forward exchange markets," Journal of International Economics, Elsevier, vol. 17(1-2), pages 173-184, August.
    15. Jeffrey A. Frankel, 1984. "Tests of Monetary and Portfolio Balance Models of Exchange Rate Determination," NBER Chapters, in: Exchange Rate Theory and Practice, pages 239-260, National Bureau of Economic Research, Inc.
    16. Domowitz, Ian & Hakkio, Craig S., 1985. "Conditional variance and the risk premium in the foreign exchange market," Journal of International Economics, Elsevier, vol. 19(1-2), pages 47-66, August.
    17. Cumby, Robert E & Obstfeld, Maurice, 1981. "A Note on Exchange-Rate Expectations and Nominal Interest Differentials: A Test of the Fisher Hypothesis," Journal of Finance, American Finance Association, vol. 36(3), pages 697-703, June.
    18. Robert E. Cumby & Maurice Obstfeld, 1984. "International Interest Rate and Price Level Linkages under Flexible Exchange Rates: A Review of Recent Evidence," NBER Chapters, in: Exchange Rate Theory and Practice, pages 121-152, National Bureau of Economic Research, Inc.
    19. Michael P. Dooley & Peter Isard, 1979. "The portfolio-balance model of exchange rates," International Finance Discussion Papers 141, Board of Governors of the Federal Reserve System (U.S.).
    20. Giovannini, Alberto & Jorion, Philippe, 1988. "Foreign exchange risk premia volatility once again," Journal of International Money and Finance, Elsevier, vol. 7(1), pages 111-113, March.
    21. Frankel, Jeffrey & Engel, Charles M., 1984. "Do asset-demand functions optimize over the mean and variance of real returns? A six-currency test," Journal of International Economics, Elsevier, vol. 17(3-4), pages 309-323, November.
    22. Pagan, Adrian, 1988. "A note on the magnitude of risk premia," Journal of International Money and Finance, Elsevier, vol. 7(1), pages 109-110, March.
    23. Giovannini, Alberto & Jorion, Philippe, 1987. "Interest rates and risk premia in the stock market and in the foreign exchange market," Journal of International Money and Finance, Elsevier, vol. 6(1), pages 107-123, March.
    24. Kouri, Pentti J K, 1976. " The Exchange Rate and the Balance of Payments in the Short Run and in the Long Run: A Monetary Approach," Scandinavian Journal of Economics, Wiley Blackwell, vol. 78(2), pages 280-304.
    25. Lars Peter Hansen & Robert J. Hodrick, 1983. "Risk Averse Speculation in the Forward Foreign Exchange Market: An Econometric Analysis of Linear Models," NBER Chapters, in: Exchange Rates and International Macroeconomics, pages 113-152, National Bureau of Economic Research, Inc.
    Full references (including those not matched with items on IDEAS)

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. repec:adr:anecst:y:1991:i:24:p:01 is not listed on IDEAS
    2. Lewis, Karen K., 1995. "Puzzles in international financial markets," Handbook of International Economics, in: G. M. Grossman & K. Rogoff (ed.), Handbook of International Economics, edition 1, volume 3, chapter 37, pages 1913-1971, Elsevier.
    3. W A Razzak, 1998. "The forward rate unbiasedness hypothesis in inflation-targeting regimes," Reserve Bank of New Zealand Discussion Paper Series G99/3, Reserve Bank of New Zealand, revised Aug 1999.
    4. Tim Bollerslev & Ray Y. Chou & Narayanan Jayaraman & Kenneth F. Kroner - L, 1991. "es modéles ARCH en finance : un point sur la théorie et les résultats empiriques," Annals of Economics and Statistics, GENES, issue 24, pages 1-59.
    5. Lyons, Richard K., 1988. "Tests of the foreign exchange risk premium using the expected second moments implied by option pricing," Journal of International Money and Finance, Elsevier, vol. 7(1), pages 91-108, March.
    6. Bollerslev, Tim & Chou, Ray Y. & Kroner, Kenneth F., 1992. "ARCH modeling in finance : A review of the theory and empirical evidence," Journal of Econometrics, Elsevier, vol. 52(1-2), pages 5-59.
    7. Ross Levine, 1988. "The forward exchange rate bias: a new explanation," International Finance Discussion Papers 338, Board of Governors of the Federal Reserve System (U.S.).
    8. Frankel, Jeffrey A., 1988. "Recent estimates of time-variation in the conditional variance and in the exchange risk premium," Journal of International Money and Finance, Elsevier, vol. 7(1), pages 115-125, March.
    9. Hodrick, Robert J., 1989. "Risk, uncertainty, and exchange rates," Journal of Monetary Economics, Elsevier, vol. 23(3), pages 433-459, May.
    10. Alberto Giovannini, 1987. "Uncertainty and Liquidity," NBER Working Papers 2296, National Bureau of Economic Research, Inc.
    11. Grossmann, Axel & Simpson, Marc W., 2015. "Bid-ask spreads, deviations from PPP and the forward prediction error: The case of the British pound and the euro," The Quarterly Review of Economics and Finance, Elsevier, vol. 55(C), pages 124-139.
    12. Thomas Chiang & Sheng-Yung Yang, 2005. "International Asset Excess Returns and Multivariate Conditional Volatilities," Review of Quantitative Finance and Accounting, Springer, vol. 24(3), pages 295-312, May.
    13. Ledenyov, Dimitri O. & Ledenyov, Viktor O., 2015. "Wave function method to forecast foreign currencies exchange rates at ultra high frequency electronic trading in foreign currencies exchange markets," MPRA Paper 67470, University Library of Munich, Germany.
    14. Frederick Nieuwland & Willem Verschoor & Christian Wolff, 2000. "Exchange risk premia in the European monetary system," Applied Financial Economics, Taylor & Francis Journals, vol. 10(4), pages 351-360.
    15. Campbell, John Y. & Clarida, Richard H., 1987. "The term structure of euromarket interest rates : An empirical investigation," Journal of Monetary Economics, Elsevier, vol. 19(1), pages 25-44, January.
    16. McCurdy, Thomas H & Morgan, Ieuan G, 1988. "Testing the Martingale Hypothesis in Deutsche Mark Futures with Models Specifying the Form of Heteroscedasticity," Journal of Applied Econometrics, John Wiley & Sons, Ltd., vol. 3(3), pages 187-202, July-Sept.
    17. Dominguez, Kathryn M., 1986. "Are foreign exchange forecasts rational? : New evidence from survey data," Economics Letters, Elsevier, vol. 21(3), pages 277-281.
    18. Simpson, Marc W. & Grossmann, Axel, 2014. "An examination of the forward prediction error of U.S. dollar exchange rates and how they are related to bid-ask spreads, purchasing power parity disequilibria, and forward premium asymmetry," The North American Journal of Economics and Finance, Elsevier, vol. 28(C), pages 221-238.
    19. Lucio Sarno & Giorgio Valente & Hyginus Leon, 2006. "Nonlinearity in Deviations from Uncovered Interest Parity: An Explanation of the Forward Bias Puzzle," Review of Finance, European Finance Association, vol. 10(3), pages 443-482, September.
    20. Frankel, Jeffrey A., 1986. "The implications of mean-variance optimization for four questions in international macroeconomics," Journal of International Money and Finance, Elsevier, vol. 5(1, Supple), pages 53-75, March.
    21. Jeffrey A. Frankel, 1985. "International capital mobility and crowding-out in the U.S. economy: imperfect integration of financial markets or of goods markets?," Proceedings, Federal Reserve Bank of St. Louis, pages 33-74.

    More about this item

    Statistics

    Access and download statistics

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:nbr:nberwo:2303. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: the person in charge (email available below). General contact details of provider: https://edirc.repec.org/data/nberrus.html .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.