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Evaluating asset-pricing models using the Hansen-Jagannathan bound: a Monte Carlo investigation

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  • Christopher Otrok

    (Department of Economics, P.O. Box 400182, 114 Rouss Hall, The University of Virginia, Charlottesville, VA 22904-4182, USA)

  • B. Ravikumar

    (Department of Economics, 108 Pappajohn Business Building, The University of Iowa, Iowa City, IA 52242-1000, USA)

  • Charles H. Whiteman

    (Department of Economics, 108 Pappajohn Business Building, The University of Iowa, Iowa City, IA 52242-1000, USA)

Abstract

We use recent statistical tests, based on a 'distance' between the model and the Hansen-Jagannathan bound, to compute the rejection rates of true models. For asset-pricing models with time-separable preferences, the finite-sample distribution of the test statistic associated with the risk-neutral case is extreme, in the sense that critical values based on this distribution deliver type I errors no larger than intended-regardless of risk aversion or the rate of time preference. We also show that these maximal-type-I-error critical values are appropriate for both time and state non-separable preferences and that they yield acceptably small type II error rates. Copyright © 2002 John Wiley & Sons, Ltd.

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Bibliographic Info

Article provided by John Wiley & Sons, Ltd. in its journal Journal of Applied Econometrics.

Volume (Year): 17 (2002)
Issue (Month): 2 ()
Pages: 149-174

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Handle: RePEc:jae:japmet:v:17:y:2002:i:2:p:149-174

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  1. Lars Peter Hansen & Ravi Jagannathan, 1994. "Assessing specification errors in stochastic discount factor models," Staff Report 167, Federal Reserve Bank of Minneapolis.
  2. Heaton, John, 1995. "An Empirical Investigation of Asset Pricing with Temporally Dependent Preference Specifications," Econometrica, Econometric Society, vol. 63(3), pages 681-717, May.
  3. Epstein, Larry G & Zin, Stanley E, 1989. "Substitution, Risk Aversion, and the Temporal Behavior of Consumption and Asset Returns: A Theoretical Framework," Econometrica, Econometric Society, vol. 57(4), pages 937-69, July.
  4. Andrew B. Abel, 1990. "Asset Prices under Habit Formation and Catching up with the Joneses," NBER Working Papers 3279, National Bureau of Economic Research, Inc.
  5. Cochrane, John H. & Campbell, John, 1999. "By Force of Habit: A Consumption-Based Explanation of Aggregate Stock Market Behavior," Scholarly Articles 3119444, Harvard University Department of Economics.
  6. 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.
  7. John H. Cochrane & Lars Peter Hansen, 1992. "Asset Pricing Explorations for Macroeconomics," NBER Chapters, in: NBER Macroeconomics Annual 1992, Volume 7, pages 115-182 National Bureau of Economic Research, Inc.
  8. Weil, Philippe, 1989. "The equity premium puzzle and the risk-free rate puzzle," Journal of Monetary Economics, Elsevier, vol. 24(3), pages 401-421, November.
  9. R. Mehra & E. Prescott, 2010. "The equity premium: a puzzle," Levine's Working Paper Archive 1401, David K. Levine.
  10. Burnside, Craig, 1994. "Hansen-Jagannathan Bounds as Classical Tests of Asset-Pricing Models," Journal of Business & Economic Statistics, American Statistical Association, vol. 12(1), pages 57-79, January.
  11. Otrok, C. & Ravikumar, B. & Whiteman, C., 1998. "Habit Formation: A Resolution of the Equity Premium Puzzle?," Working Papers 98-04, University of Iowa, Department of Economics.
  12. Abel, Andrew B., 1999. "Risk premia and term premia in general equilibrium," Journal of Monetary Economics, Elsevier, vol. 43(1), pages 3-33, February.
  13. Gregory, Allan W. & Smith, Gregor W., 1992. "Sampling variability in Hansen-Jagannathan bounds," Economics Letters, Elsevier, vol. 38(3), pages 263-267, March.
  14. Tauchen, George, 1986. "Finite state markov-chain approximations to univariate and vector autoregressions," Economics Letters, Elsevier, vol. 20(2), pages 177-181.
  15. Constantinides, George M, 1990. "Habit Formation: A Resolution of the Equity Premium Puzzle," Journal of Political Economy, University of Chicago Press, vol. 98(3), pages 519-43, June.
  16. Lucas, Robert E, Jr, 1978. "Asset Prices in an Exchange Economy," Econometrica, Econometric Society, vol. 46(6), pages 1429-45, November.
  17. Stephen G. Cecchetti & Pok-sang Lam & Nelson C. Mark, 1992. "Testing Volatility Restrictions on Intertemporal Marginal Rates of Substitution Implied by Euler Equations and Asset Returns," NBER Technical Working Papers 0124, National Bureau of Economic Research, Inc.
  18. John Y. Campbell & John Cochrane, 1999. "Force of Habit: A Consumption-Based Explanation of Aggregate Stock Market Behavior," Journal of Political Economy, University of Chicago Press, vol. 107(2), pages 205-251, April.
  19. Hansen, Lars Peter, 1982. "Large Sample Properties of Generalized Method of Moments Estimators," Econometrica, Econometric Society, vol. 50(4), pages 1029-54, July.
  20. Hansen, Lars Peter & Heaton, John & Luttmer, Erzo G J, 1995. "Econometric Evaluation of Asset Pricing Models," Review of Financial Studies, Society for Financial Studies, vol. 8(2), pages 237-74.
  21. Sundaresan, Suresh M, 1989. "Intertemporally Dependent Preferences and the Volatility of Consumption and Wealth," Review of Financial Studies, Society for Financial Studies, vol. 2(1), pages 73-89.
  22. 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.
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Cited by:
  1. Silos, Pedro, 2006. "Assessing Markov chain approximations: A minimal econometric approach," Journal of Economic Dynamics and Control, Elsevier, vol. 30(6), pages 1063-1079, June.
  2. Qiang Zhang, 2004. "Accounting for Human Capital and Weak Identification in Evaluating the Esptein-Zin-Weil Non-Expected Utility Model of Asset Pricing," CIRJE F-Series CIRJE-F-289, CIRJE, Faculty of Economics, University of Tokyo.
  3. Romain Houssa, 2011. "Uncertainty about Welfare Effects of Consumption Fluctuations," Working Papers 1101, University of Namur, Department of Economics.
  4. Raymond Kan & Cesare Robotti, 2008. "The exact distribution of the Hansen-Jagannathan bound," Working Paper 2008-09, Federal Reserve Bank of Atlanta.
  5. Otrok, Christopher & Ravikumar, B & Whiteman, Charles, 2001. "Stochastic Discount Factor Models and the Equity Premium Puzzle," MPRA Paper 22938, University Library of Munich, Germany, revised Nov 2004.

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