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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
    DOI: 10.1016/S0165-1765(00)00411-0
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    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. Djeutem, Edouard & Kasa, Kenneth, 2013. "Robustness and exchange rate volatility," Journal of International Economics, Elsevier, vol. 91(1), pages 27-39.
    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.
    8. Kilponen, Juha, 2004. "Robust expectations and uncertain models: a robust contol approach with application to the new Keynesian economy," Bank of Finland Research Discussion Papers 5/2004, Bank of Finland.

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