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Risk aversion vs. intertemporal substitution: identification failure in the intertemporal consumption CAPM

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Chris Neely
Amlan Roy
Charles Whiteman

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Abstract

Is the risk aversion parameter in the simple intertemporal consumption CAPM “small” as in Hansen and Singleton (1982,1983), or is it that its reciprocal, the intertemporal elasticity of substitution, is small, as in Hall (1988)? This paper attributes the disparate estimates of this fundamental parameter not only to failures of instrument admissibility as do Hall (1988) and Hansen-Singleton (1996), but rather to failures of instrument relevance. That is, the disparate estimates reflect near nonidentification due to the unpredictability of asset returns and consumption growth. One natural identifying restriction from the risk aversion perspective leads to estimates that are low and stable over both time and model specifications. An equally natural identifying restriction from the intertemporal substitution perspective leads to estimates of the reciprocal that are also low and stable.

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Paper provided by Federal Reserve Bank of St. Louis in its series Working Papers with number 1995-002.

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Date of creation: 1999
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Publication status: Published in Journal of Business and Economic Statistics, October 2001, 19(4), pp. 395-403
Handle: RePEc:fip:fedlwp:1995-002

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Keywords: Capital assets pricing model ; Consumption (Economics);

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  1. Edward C. Prescott, 1986. "Theory ahead of business cycle measurement," Quarterly Review, Federal Reserve Bank of Minneapolis, issue Fall, pages 9-22. [Downloadable!]
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  2. Hansen, Lars Peter & Singleton, Kenneth J, 1996. "Efficient Estimation of Linear Asset-Pricing Models with Moving Average Errors," Journal of Business & Economic Statistics, American Statistical Association, vol. 14(1), pages 53-68, January.
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  3. Heaton, John & Lucas, Deborah J, 1996. "Evaluating the Effects of Incomplete Markets on Risk Sharing and Asset Pricing," Journal of Political Economy, University of Chicago Press, vol. 104(3), pages 443-87, June. [Downloadable!] (restricted)
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  4. Luttmer, Erzo G J, 1996. "Asset Pricing in Economies with Frictions," Econometrica, Econometric Society, vol. 64(6), pages 1439-67, November. [Downloadable!] (restricted)
  5. Epstein, Larry G & Zin, Stanley E, 1991. "Substitution, Risk Aversion, and the Temporal Behavior of Consumption and Asset Returns: An Empirical Analysis," Journal of Political Economy, University of Chicago Press, vol. 99(2), pages 263-86, April. [Downloadable!] (restricted)
  6. Heaton, John, 1993. "The Interaction between Time-Nonseparable Preferences and Time Aggregation," Econometrica, Econometric Society, vol. 61(2), pages 353-85, March. [Downloadable!] (restricted)
  7. Breeden, Douglas T & Gibbons, Michael R & Litzenberger, Robert H, 1989. " Empirical Tests of the Consumption-Oriented CAPM," Journal of Finance, American Finance Association, vol. 44(2), pages 231-62, June. [Downloadable!] (restricted)
  8. Hansen, Lars Peter & Singleton, Kenneth J, 1983. "Stochastic Consumption, Risk Aversion, and the Temporal Behavior of Asset Returns," Journal of Political Economy, University of Chicago Press, vol. 91(2), pages 249-65, April. [Downloadable!] (restricted)
  9. Braun, Phillip A. & Constantinides, George M. & Ferson, Wayne E., 1993. "Time nonseparability in aggregate consumption : International evidence," European Economic Review, Elsevier, vol. 37(5), pages 897-920, June. [Downloadable!] (restricted)
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  10. Ferson, Wayne E. & Constantinides, George M., 1991. "Habit persistence and durability in aggregate consumption: Empirical tests," Journal of Financial Economics, Elsevier, vol. 29(2), pages 199-240, October. [Downloadable!] (restricted)
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  11. Lucas, Robert E, Jr, 1978. "Asset Prices in an Exchange Economy," Econometrica, Econometric Society, vol. 46(6), pages 1429-45, November. [Downloadable!] (restricted)
  12. Hansen, Lars Peter & Singleton, Kenneth J, 1982. "Generalized Instrumental Variables Estimation of Nonlinear Rational Expectations Models," Econometrica, Econometric Society, vol. 50(5), pages 1269-86, September. [Downloadable!] (restricted)
  13. Wheatley, Simon, 1988. "Some tests of the consumption-based asset pricing model," Journal of Monetary Economics, Elsevier, vol. 22(2), pages 193-215, September. [Downloadable!] (restricted)
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