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An Asset Market Integration Test Based on Observable Macroeconomic Stochastic Discount Factors

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P N Smith
S Sorensen
M R Wickens

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Abstract

There are a number of tests and measures of the degree of integration in the literature. An example is the idea that integrated markets should provide rates of return that are highly correlated with one another and that a measure of correlation provides an appropriate test. This particular idea is clearly false; for substantial periods of time we don't ever see stocks traded on the same market moving together. Specific models of what prices risk in individual markets could provide the basis of a test of integration. However, as has been widely shown, any differences between these pricing models will be subject to arbitrage by informed traders and so cannot form the basis for a test. In this paper we exploit the absence of arbitrage possibilities and the operation of the 'Law of One Price' in stochastic discount factor (SDF) theory to construct a test of integration based on a common approach to pricing assets in all markets, not only for stocks. The SDF approach that we adopt says that one SDF should price all assets as the model is not market or asset-specific.Unlike much of the literature, we adopt a direct parametric approach which takes estimates of an identical SDF from two asset markets and asks whether the price of risk associated with this SDF is the same for the two assets as SDF theory says it should. Another distinctive feature of our approach is that we employ observable macroeconomic factors. This allows us to estimate and compare the estimated risk premia in the markets concerned, with and without the integration restriction being applied. The paper uses this methodology to test market integration between the UK equity and FOREX markets. Our test rejects market integration for the consumption-based capital asset pricing model (CCAPM) and two variable SDF models based on consumption growth and inflation and on output and money growth. As equity and FOREX returns have a similar degree of variability, the finding that the risk premium in the FOREX market is generally much more variable than that in the equity market may contribute to the the test outcome.

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Paper provided by Department of Economics, University of York in its series Discussion Papers with number 03/14.

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Handle: RePEc:yor:yorken:03/14

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Find related papers by JEL classification:
G12 - Financial Economics - - General Financial Markets - - - Asset Pricing
C32 - Mathematical and Quantitative Methods - - Multiple or Simultaneous Equation Models; Multiple Variables - - - Time-Series Models; Dynamic Quantile Regressions
C51 - Mathematical and Quantitative Methods - - Econometric Modeling - - - Model Construction and Estimation
E44 - Macroeconomics and Monetary Economics - - Money and Interest Rates - - - Financial Markets and the Macroeconomy

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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. Hansen, Lars Peter & Jagannathan, Ravi, 1991. "Implications of Security Market Data for Models of Dynamic Economies," Journal of Political Economy, University of Chicago Press, vol. 99(2), pages 225-62, April. [Downloadable!] (restricted)
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  2. Peter N Smith & Michael R Wickens, . "Asset Pricing with Observable Stochastic Discount Factors," Discussion Papers 02/03, Department of Economics, University of York. [Downloadable!]
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  3. Robert P. Flood & Andrew K. Rose, 2003. "Financial Integration: A New Methodology and an Illustration," NBER Working Papers 9880, National Bureau of Economic Research, Inc. [Downloadable!] (restricted)
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  4. Chen, Zhiwu & Knez, Peter J, 1995. "Measurement of Market Integration and Arbitrage," Review of Financial Studies, Oxford University Press for Society for Financial Studies, vol. 8(2), pages 287-325. [Downloadable!] (restricted)
  5. Campbell, John Y., 2003. "Consumption-based asset pricing," Handbook of the Economics of Finance, in: G.M. Constantinides & M. Harris & R. M. Stulz (ed.), Handbook of the Economics of Finance, edition 1, volume 1, chapter 13, pages 803-887 Elsevier. [Downloadable!] (restricted)
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  6. Kreps, David M & Porteus, Evan L, 1978. "Temporal Resolution of Uncertainty and Dynamic Choice Theory," Econometrica, Econometric Society, vol. 46(1), pages 185-200, January. [Downloadable!] (restricted)
  7. P N Smith & S Sorensen & M R Wickens, . "Macroeconomic Sources of Equity Risk," Discussion Papers 03/13, Department of Economics, University of York. [Downloadable!]
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  1. Martin D. D. Evans & Viktoria Hnatkovska, 2005. "International Capital Flows, Returns and World Financial Integration," NBER Working Papers 11701, National Bureau of Economic Research, Inc. [Downloadable!] (restricted)
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  2. Mahesh Kumar Tambi, 2005. "A test of Integration between Emerging and Developed Nation’s Stock Markets," International Finance 0506004, EconWPA. [Downloadable!]
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