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Estimating the Expected Marginal Rate of Substitution: Exploiting Idiosyncratic Risk

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  • Flood, Robert P
  • Rose, Andrew K

Abstract

This Paper develops a simple but general methodology to estimate the expected intertemporal marginal rate of substitution or ‘EMRS’, using only data on asset prices and returns. Our empirical strategy is general, and allows the EMRS to vary arbitrarily over time. A novel feature of our technique is that it relies upon exploiting idiosyncratic risk, since theory dictates that idiosyncratic shocks earn the EMRS. We apply our methodology to two different datasets: monthly data from 1994 through 2003, and daily data for 2003. Both datasets include assets from three different markets: the New York Stock Exchange, the NASDAQ, and the Toronto Stock Exchange. For both monthly and daily frequencies, we find plausible estimates of EMRS with considerable precision and time-series volatility. We then use these estimates to test for asset integration, both within and between stock markets. We find that all three markets seem to be internally integrated in the sense that different assets traded on a given market share the same EMRS. The technique is also powerful enough to reject integration between the three stock markets, and between stock and money markets.

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Paper provided by C.E.P.R. Discussion Papers in its series CEPR Discussion Papers with number 4684.

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Date of creation: Oct 2004
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Handle: RePEc:cpr:ceprdp:4684

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Keywords: asset; discount; factor; intertemporal integration; market; price; stochastic; stock;

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  1. Roll, Richard & Ross, Stephen A, 1980. " An Empirical Investigation of the Arbitrage Pricing Theory," Journal of Finance, American Finance Association, vol. 35(5), pages 1073-1103, December.
  2. 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.
  3. Robert G. King & Sergio T. Rebelo, 2000. "Resuscitating Real Business Cycles," RCER Working Papers 467, University of Rochester - Center for Economic Research (RCER).
  4. Richard Clarida & Jordi Galí & Mark Gertler, 1997. "The science of monetary policy: A new Keynesian perspective," Economics Working Papers 356, Department of Economics and Business, Universitat Pompeu Fabra, revised Apr 1999.
  5. Maurice Obstfeld & Kenneth Rogoff, 1999. "New Directions for Stochastic Open Economy Models," NBER Working Papers 7313, National Bureau of Economic Research, Inc.
  6. Fama, Eugene F & French, Kenneth R, 1996. " Multifactor Explanations of Asset Pricing Anomalies," Journal of Finance, American Finance Association, vol. 51(1), pages 55-84, March.
  7. 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.
  8. Fama, Eugene F & MacBeth, James D, 1973. "Risk, Return, and Equilibrium: Empirical Tests," Journal of Political Economy, University of Chicago Press, vol. 81(3), pages 607-36, May-June.
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