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Exact linear rational expectations models: specification and estimation

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  • Lars Peter Hansen
  • Thomas J. Sargent

Abstract

This paper describes how to specify and estimate rational expectations models in which there are exact linear relationships among variables and expectations of variables that the econometrician observes.

Suggested Citation

  • Lars Peter Hansen & Thomas J. Sargent, 1981. "Exact linear rational expectations models: specification and estimation," Staff Report 71, Federal Reserve Bank of Minneapolis.
    • Handle: RePEc:fip:fedmsr:71
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    References listed on IDEAS

    as
    1. Hall, Robert E, 1978. "Stochastic Implications of the Life Cycle-Permanent Income Hypothesis: Theory and Evidence," Journal of Political Economy, University of Chicago Press, vol. 86(6), pages 971-987, December.
    2. Hansen, Lars Peter, 1982. "Large Sample Properties of Generalized Method of Moments Estimators," Econometrica, Econometric Society, vol. 50(4), pages 1029-1054, July.
    3. Sargent, Thomas J, 1976. "A Classical Macroeconometric Model for the United States," Journal of Political Economy, University of Chicago Press, vol. 84(2), pages 207-237, April.
    4. Lars Peter Hansen & Thomas J. Sargent, 1980. "Linear rational expectations models for dynamically interrelated variables," Working Papers 135, Federal Reserve Bank of Minneapolis.
    5. Shiller, Robert J., 1981. "Alternative tests of rational expectations models : The case of the term structure," Journal of Econometrics, Elsevier, vol. 16(1), pages 71-87, May.
    6. Sargent, Thomas J, 1972. "Rational Expectations and the Term Structure of Interest Rates," Journal of Money, Credit and Banking, Blackwell Publishing, vol. 4(1), pages 74-97, Part I Fe.
    7. Hansen, Lars Peter & Hodrick, Robert J, 1980. "Forward Exchange Rates as Optimal Predictors of Future Spot Rates: An Econometric Analysis," Journal of Political Economy, University of Chicago Press, vol. 88(5), pages 829-853, October.
    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 249-265, April.
    9. Hodrick, Robert J & Prescott, Edward C, 1997. "Postwar U.S. Business Cycles: An Empirical Investigation," Journal of Money, Credit and Banking, Blackwell Publishing, vol. 29(1), pages 1-16, February.
    10. 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.
    11. Robert B. Litterman, 1979. "Techniques of forecasting using vector autoregressions," Working Papers 115, Federal Reserve Bank of Minneapolis.
    12. Sims, Christopher A, 1980. "Macroeconomics and Reality," Econometrica, Econometric Society, vol. 48(1), pages 1-48, January.
    13. 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.
    14. Kohn, R, 1979. "Asymptotic Estimation and Hypothesis Testing Results for Vector Linear Time Series Models," Econometrica, Econometric Society, vol. 47(4), pages 1005-1030, July.
    15. Kennan, John, 1979. "The Estimation of Partial Adjustment Models with Rational Expectations," Econometrica, Econometric Society, vol. 47(6), pages 1441-1455, November.
    16. Robinson, Peter M., 1977. "The construction and estimation of continuous time models and discrete approximations in econometrics," Journal of Econometrics, Elsevier, vol. 6(2), pages 173-197, September.
    17. Sargent, Thomas J, 1978. "Rational Expectations, Econometric Exogeneity, and Consumption," Journal of Political Economy, University of Chicago Press, vol. 86(4), pages 673-700, August.
    18. Shiller, Robert J, 1979. "The Volatility of Long-Term Interest Rates and Expectations Models of the Term Structure," Journal of Political Economy, University of Chicago Press, vol. 87(6), pages 1190-1219, December.
    19. Singleton, Kenneth J, 1980. "Expectations Models of the Term Structure and Implied Variance Bounds," Journal of Political Economy, University of Chicago Press, vol. 88(6), pages 1159-1176, December.
    20. Sargent, Thomas J., 1979. "A note on maximum likelihood estimation of the rational expectations model of the term structure," Journal of Monetary Economics, Elsevier, vol. 5(1), pages 133-143, January.
    21. Granger, C W J, 1969. "Investigating Causal Relations by Econometric Models and Cross-Spectral Methods," Econometrica, Econometric Society, vol. 37(3), pages 424-438, July.
    22. Sims, Christopher A, 1972. "Money, Income, and Causality," American Economic Review, American Economic Association, vol. 62(4), pages 540-552, September.
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    Citations

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    Cited by:

    1. Christiano, Lawrence J & Eichenbaum, Martin & Marshall, David, 1991. "The Permanent Income Hypothesis Revisited," Econometrica, Econometric Society, vol. 59(2), pages 397-423, March.
    2. Lars Peter Hansen & Thomas J. Sargent, 1982. "Formulating and estimating continuous time rational expectations models," Staff Report 75, Federal Reserve Bank of Minneapolis.
    3. Paccagnini, Alessia, 2017. "Dealing with Misspecification in DSGE Models: A Survey," MPRA Paper 82914, University Library of Munich, Germany.
    4. Campbell, John Y & Shiller, Robert J, 1987. "Cointegration and Tests of Present Value Models," Journal of Political Economy, University of Chicago Press, vol. 95(5), pages 1062-1088, October.
    5. Cochrane, John H., 2005. "Financial Markets and the Real Economy," Foundations and Trends(R) in Finance, now publishers, vol. 1(1), pages 1-101, July.
    6. Christiano, Lawrence J. & Vigfusson, Robert J., 2003. "Maximum likelihood in the frequency domain: the importance of time-to-plan," Journal of Monetary Economics, Elsevier, vol. 50(4), pages 789-815, May.
    7. Campbell, John Y & Shiller, Robert J, 1984. "A Simple Account of the Behavior of Long-Term Interest Rates," American Economic Review, American Economic Association, vol. 74(2), pages 44-48, May.
    8. Kenneth B. Dunn & Kenneth J. Singleton, 1984. "Modeling the Term Structure of Interest Rates Under Nonseparable Utilityand Duriability of Goods," NBER Working Papers 1415, National Bureau of Economic Research, Inc.
    9. Søren Johansen & Anders Rygh Swensen, 2003. "More on Testing Exact Rational Expectations in Cointegrated Vector Autoregressive Models: Restricted Drift Terms," Discussion Papers 348, Statistics Norway, Research Department.
    10. Robert J. Shiller, 1985. "Conventional Valuation and the Term Structure of Interest Rates," NBER Working Papers 1610, National Bureau of Economic Research, Inc.
    11. Engsted, Tom & Haldrup, Niels, 1997. "Money demand, adjustment costs, and forward-looking behavior," Journal of Policy Modeling, Elsevier, vol. 19(2), pages 153-173, April.
    12. Hamidi Sahneh, Mehdi, 2017. "News, Noise, and Tests of Present Value Models," MPRA Paper 82715, University Library of Munich, Germany.
    13. Ito, Takatoshi, 1988. "Use of (Time-Domain) Vector Autoregressions to Test Uncovered Interest Parity," The Review of Economics and Statistics, MIT Press, vol. 70(2), pages 296-305, May.
    14. Pål Boug & Ådne Cappelen & Anders Rygh Swensen, 2007. "The New Keynesian Phillips Curve revisited," Discussion Papers 500, Statistics Norway, Research Department.
    15. Gilbert Colletaz & Jean-Pierre Gourlaouen, 1990. "Coïntégration et structure par terme des taux d'intérêt," Revue Économique, Programme National Persée, vol. 41(4), pages 687-712.
    16. West, Kenneth D., 1988. "The insensitivity of consumption to news about income," Journal of Monetary Economics, Elsevier, vol. 21(1), pages 17-33, January.
    17. Juselius, Mikael, 2008. "Cointegration implications of linear rational expectation models," Research Discussion Papers 6/2008, Bank of Finland.
    18. Goo, Moon Mo, 1997. "The measurement of market power: short-run, long-run, and dynamic adjustment models," ISU General Staff Papers 1997010108000012985, Iowa State University, Department of Economics.
    19. Tegene, Abebayehu, 1983. "A rational expectations approach to the modelling of agricultural supply: a case study of Iowa," ISU General Staff Papers 198301010800009963, Iowa State University, Department of Economics.
    20. Jennifer E. Roush, 2001. "Evidence uncovered: long-term interest rates, monetary policy, and the expectations theory," International Finance Discussion Papers 712, Board of Governors of the Federal Reserve System (U.S.).
    21. Marjorie A. Flavin, 1988. "The Excess Smoothness of Consumption: Identification and Interpretation," NBER Working Papers 2807, National Bureau of Economic Research, Inc.
    22. Johansen, Soren & Swensen, Anders Rygh, 1999. "Testing exact rational expectations in cointegrated vector autoregressive models," Journal of Econometrics, Elsevier, vol. 93(1), pages 73-91, November.
    23. Klaeffling, Matt, 2003. "Monetary policy shocks - a nonfundamental look at the data," Working Paper Series 228, European Central Bank.
    24. Nyholm, Juho, 2017. "Residual-based diagnostic tests for noninvertible ARMA models," MPRA Paper 81033, University Library of Munich, Germany.

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