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Formulating and estimating continuous time rational expectations models Author info | Abstract | Publisher info | Download info | Related research | Statistics Lars Peter Hansen
Thomas J. Sargent
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This paper proposes a method for estimating the parameters of continuous time, stochastic rational expectations models from discrete time observations. The method is important since various heuristic procedures for deducing the implications for discrete time data of continuous time models, such as replacing derivatives with first differences, can sometimes give rise to very misleading conclusions about parameters. Our proposal is to express the restrictions imposed by the rational expectations model on the continuous time process generating the observable variables. Then the likelihood function of a discrete time sample of observations from this process is obtained. Parameter estimates are computed by maximizing the likelihood function with respect to the free parameters of the continuous time model.
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Paper provided by Federal Reserve Bank of Minneapolis in its series Staff Report with number
75.
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Date of creation: 1982Date of revision:
Handle: RePEc:fip:fedmsr:75Contact details of provider: Postal: 90 Hennepin Avenue, P.O. Box 291, Minneapolis, MN 55480-0291 Phone: (612) 204-5000 Web page: http://minneapolisfed.org/ More information through EDIRC
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References listed on IDEAS Please report citation or reference errors to , or , if you are the registered author of the cited work, log in to your RePEc Author Service profile , click on "citations" and make appropriate adjustments.: Chow, Gregory C & Lin, An-loh, 1971.
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Other versions: Lars Peter Hansen & Thomas J. Sargent, 1981.
"The dimensionality of the aliasing problem in models with rational spectral densities ,"
Staff Report
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"Output and price stability: An international comparison ,"
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Lars Peter Hansen & Thomas J. Sargent, 1981.
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Staff Report
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Other versions: Lars Peter Hansen & Thomas J. Sargent, 1981.
"Aggregation over time and the inverse optimal predictor problem for adaptive expectations in continuous time ,"
Staff Report
74, Federal Reserve Bank of Minneapolis.
[Downloadable!]
Other versions:
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references Cited by : (explanations , Please report citation or reference errors to , or , if you are the registered author of the cited work, log in to your RePEc Author Service profile , click on "citations" and make appropriate adjustments.)
Andrew W. Lo, 1986.
"Maximum Likelihood Estimation of Generalized Ito Processes with Discretely Sampled Data ,"
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0059, National Bureau of Economic Research, Inc.
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Other versions: Lawrence J. Christiano & Martin Eichenbaum & David Marshall, 1987.
"The Permanent Income Hypothesis Revisited ,"
NBER Working Papers
2209, National Bureau of Economic Research, Inc.
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Other versions:
Lawrence J. Christiano & Martin Eichenbaum & David Marshall, 1990.
"The permanent income hypothesis revisited ,"
Staff Report
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[Downloadable!] Christiano, Lawrence J & Eichenbaum, Martin & Marshall, David, 1991.
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Econometrica ,
Econometric Society, vol. 59(2), pages 397-423, March.
[Downloadable!] (restricted) Lawrence J. Christiano & Martin Eichenbaum, 1987.
"Temporal aggregation and structural inference in macroeconomics ,"
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Lawrence J. Christiano & Martin S. Eichenbaum, 1986.
"Temporal Aggregation and Structural Inference in Macroeconomics ,"
NBER Technical Working Papers
0060, National Bureau of Economic Research, Inc.
[Downloadable!] (restricted) Christiano, Lawrence J. & Eichenbaum, Martin, 1987.
"Temporal aggregation and structural inference in macroeconomics ,"
Carnegie-Rochester Conference Series on Public Policy ,
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