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Robust-H-infinity Forecasting and Asset Pricing Anomalies

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  • Aaron Tornell

Abstract

We present an alternative expectation formation mechanism that helps rationalize well known asset pricing anomalies, such as the predictability of excess returns, excess volatility, and the equity-premium puzzle. As with rational expectations (RE), the expectation formation mechanism we consider is based on a rigorous optimization algorithm that does not presume misperceptions - it simply departs from some of the implicit assumptions that underlie RE. Agents fear that existence of misspecifications and design strategies that will be robust against a very large class of misspecifications. The new element is that uncertainty cannot be modeled via probability distributions. We consider an asset pricing model where uncertainty is represented by unknown disturbance sequences, as in the H-infinity-control literature. Agents must filter the persistent' and transitory' components of a sequence of observations in order to make consumption and portfolio decisions. We find that H-infinity forecasts are more sensitive to news than RE forecasts and equilibrium prices exhibit the anomalies previously mentioned.

Suggested Citation

  • Aaron Tornell, 2000. "Robust-H-infinity Forecasting and Asset Pricing Anomalies," NBER Working Papers 7753, National Bureau of Economic Research, Inc.
  • Handle: RePEc:nbr:nberwo:7753
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    References listed on IDEAS

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    1. Mehra, Rajnish & Prescott, Edward C., 1985. "The equity premium: A puzzle," Journal of Monetary Economics, Elsevier, vol. 15(2), pages 145-161, March.
    2. Pierre-Olivier Gourinchas & Aaron Tornell, 2000. "Exchange Rate Dynamics, Learning and Misperception," Econometric Society World Congress 2000 Contributed Papers 0795, Econometric Society.
    3. Lars Peter Hansen & Thomas J. Sargent & Thomas D. Tallarini, 1999. "Robust Permanent Income and Pricing," Review of Economic Studies, Oxford University Press, vol. 66(4), pages 873-907.
    4. Kent Daniel & David Hirshleifer & Avanidhar Subrahmanyam, 1998. "Investor Psychology and Security Market Under- and Overreactions," Journal of Finance, American Finance Association, vol. 53(6), pages 1839-1885, December.
    5. Shiller, Robert J, 1981. "Do Stock Prices Move Too Much to be Justified by Subsequent Changes in Dividends?," American Economic Review, American Economic Association, vol. 71(3), pages 421-436, June.
    6. Pok-sang Lam & Stephen G. Cecchetti & Nelson C. Mark, 2000. "Asset Pricing with Distorted Beliefs: Are Equity Returns Too Good to Be True?," American Economic Review, American Economic Association, vol. 90(4), pages 787-805, September.
    7. 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 443-487, June.
    8. Fama, Eugene F. & French, Kenneth R., 1988. "Dividend yields and expected stock returns," Journal of Financial Economics, Elsevier, vol. 22(1), pages 3-25, October.
    9. Nicholas Barberis & Ming Huang & Tano Santos, "undated". "Prospect Theory and Asset Prices," CRSP working papers 494, Center for Research in Security Prices, Graduate School of Business, University of Chicago.
    10. Lucas, Robert E, Jr, 1978. "Asset Prices in an Exchange Economy," Econometrica, Econometric Society, vol. 46(6), pages 1429-1445, November.
    11. Onatski, Alexei & Stock, James H., 2002. "Robust Monetary Policy Under Model Uncertainty In A Small Model Of The U.S. Economy," Macroeconomic Dynamics, Cambridge University Press, vol. 6(01), pages 85-110, February.
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    Cited by:

    1. Söderlind, Paul, 2005. "C-CAPM without Ex Post Data," SIFR Research Report Series 39, Institute for Financial Research.
    2. Giordani, Paolo & Soderlind, Paul, 2004. "Solution of macromodels with Hansen-Sargent robust policies: some extensions," Journal of Economic Dynamics and Control, Elsevier, vol. 28(12), pages 2367-2397, December.
    3. Söderlind, Paul, 2009. "The C-CAPM without ex post data," Journal of Macroeconomics, Elsevier, vol. 31(4), pages 721-729, December.
    4. David Hudgins & Joon Na, 2016. "Entering H $$^{\infty }$$ ∞ -Optimal Control Robustness into a Macroeconomic LQ-Tracking Model," Computational Economics, Springer;Society for Computational Economics, vol. 47(2), pages 121-155, February.
    5. Giordani, Paolo & Soderlind, Paul, 2006. "Is there evidence of pessimism and doubt in subjective distributions? Implications for the equity premium puzzle," Journal of Economic Dynamics and Control, Elsevier, vol. 30(6), pages 1027-1043, June.
    6. Giordani, Paolo & Söderlind, Paul, 2002. "Is there Evidence of Pessimism and Doubt in Subjective Distributions? A Comment on Abel," SSE/EFI Working Paper Series in Economics and Finance 519, Stockholm School of Economics, revised 01 Oct 2003.

    More about this item

    JEL classification:

    • E44 - Macroeconomics and Monetary Economics - - Money and Interest Rates - - - Financial Markets and the Macroeconomy
    • G12 - Financial Economics - - General Financial Markets - - - Asset Pricing; Trading Volume; Bond Interest Rates

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