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A robust Hansen-Sargent prediction formula

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  • Kenneth Kasa

Abstract

This paper derives a formula for the optimal forecast of a discounted sum of future values of a random variable. This problem reflects a preference for robustness in the presence of (unstructured) model uncertainty. The paper shows that revisions of a robust forecast are more sensitive to new information, and discusses the relevance of this result to previous findings of excess sensitivity of consumption and asset prices to new information.

Suggested Citation

  • Kenneth Kasa, 2000. "A robust Hansen-Sargent prediction formula," Working Paper Series 2000-11, Federal Reserve Bank of San Francisco.
    • Handle: RePEc:fip:fedfwp:2000-11
    as

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    References listed on IDEAS

    as
    1. Hansen, Lars Peter & Sargent, Thomas J., 1980. "Formulating and estimating dynamic linear rational expectations models," Journal of Economic Dynamics and Control, Elsevier, vol. 2(1), pages 7-46, May.
    2. Lars Peter Hansen & Thomas J Sargent, 2014. "Robust Permanent Income and Pricing," World Scientific Book Chapters, in: UNCERTAINTY WITHIN ECONOMIC MODELS, chapter 3, pages 33-81, World Scientific Publishing Co. Pte. Ltd..
    3. 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.
    4. Kasa, Kenneth, 2002. "Model Uncertainty, Robust Policies, And The Value Of Commitment," Macroeconomic Dynamics, Cambridge University Press, vol. 6(1), pages 145-166, February.
    5. Hansen, Lars Peter & Sargent, Thomas J., 1981. "A note on Wiener-Kolmogorov prediction formulas for rational expectations models," Economics Letters, Elsevier, vol. 8(3), pages 255-260.
    6. Flavin, Marjorie A, 1981. "The Adjustment of Consumption to Changing Expectations about Future Income," Journal of Political Economy, University of Chicago Press, vol. 89(5), pages 974-1009, October.
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    Cited by:

    1. 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.
    2. Djeutem, Edouard & Kasa, Kenneth, 2013. "Robustness and exchange rate volatility," Journal of International Economics, Elsevier, vol. 91(1), pages 27-39.
    3. Juha Kilponen, 2004. "Robust expectations and uncertain models – A robust control approach with application to the New Keynesian economy," GE, Growth, Math methods 0404004, University Library of Munich, Germany.
    4. Michael Paetz, 2007. "Robust Control and Persistence in the New Keynesian Economy," Quantitative Macroeconomics Working Papers 20711, Hamburg University, Department of Economics.
    5. Martin Ellison & Thomas J. Sargent, 2012. "A Defense Of The Fomc," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 53(4), pages 1047-1065, November.
    6. Tan, Fei & Walker, Todd B., 2015. "Solving generalized multivariate linear rational expectations models," Journal of Economic Dynamics and Control, Elsevier, vol. 60(C), pages 95-111.
    7. Hansen, Lars Peter & Mayer, Ricardo & Sargent, Thomas, 2010. "Robust hidden Markov LQG problems," Journal of Economic Dynamics and Control, Elsevier, vol. 34(10), pages 1951-1966, October.

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