Papers

May 1987 | Article

The Role of Conditioning Information in Deducing Testable Restrictions Implied by Dynamic Asset Pricing-Models

Lars Peter Hansen, Scott F. Richard
The purpose of this paper is to investigate testable implications of equilibrium asset pricing models. We derive a general representation for asset prices that displays the role of conditioning information. This representation is then used to examine restrictions implied by asset pricing models on the unconditional moments of asset payoffs and prices. In particular, we analyze the effect of information omission on the mean-variance frontier of one-period returns on portfolios of securities. Also, we deduce an information extension of equilibrium pricing functions that is useful in deriving restrictions on the unconditional moments of payoffs and prices.
Journal: Econometrica|Volume: 55|Issue Number: 3|Pages: 587-613|Tags: Econometrics|Export BibTeX >
@article{hansen1987role,
  title={The Role of Conditioning Information in Deducing Testable Restrictions Implied by Dynamic Asset Pricing Models},
  author={Hansen, Lars Peter and Richard, Scott F},
  journal={Econometrica: Journal of the Econometric Society},
  pages={587--613},
  year={1987},
  publisher={JSTOR}
}
January 1987 | Chapter

Calculating Asset Prices in Three Example Economies

Lars Peter Hansen
Title of book: Advances in Econometrics: Fifth World Congress, Volume 1|Editor(s): T.F. Bewley|Place of Publication: Cambridge|Publisher: Cambridge University Press|Tags: Econometrics, Financial Market Linkages to the Macroeconomy|Export BibTeX >

@inproceedings{hansen1987calculating,

title={Calculating Asset Prices in Three Example Economies},

author={Hansen, Lars Peter},

booktitle={Advances in Econometrics: Volume 1: Fifth World Congress},

year={1987},

organization={Press Cambridge University}

}

October 1985 | Article

A Method for Calculating Bounds on the Asymptotic Covariance Matrices of Generalized Method of Moments Estimators

Lars Peter Hansen

For many time series estimation problems, there is an infinite-dimensional class of generalized method of moments estimators that are consistent and asymptotically normal. This paper suggests a procedure for calculating the greatest lower bound for the asymptotic covariance matrices of such estimators. The analysis focuses on estimation problems in which the data are generated by a stochastic process that is stationary and ergodic. The calculation of the bound uses martingale difference approximations as suggested by Gordon (1969) and a matrix version of Hilbert space methods.

 

Tag: GMM

Journal: Journal of Econometrics|Volume: 30|Issue Number: 1-2|Pages: 203-238|Tags: Econometrics|Export BibTeX >
@article{hansen1985method,
  title={A Method for Calculating Bounds on the Asymptotic Covariance Matrices of Generalized Method of Moments Estimators},
  author={Hansen, Lars Peter},
  journal={Journal of Econometrics},
  volume={30},
  number={1-2},
  pages={203--238},
  year={1985},
  publisher={Elsevier}
}
January 1985 | Chapter

Linear-Quadratic Duopoly Models of Resource Depletion

Lars Peter Hansen, Dennis Apple, William Roberds

This chapter contains some methods for quantitatively analyzing multiple-agent models of dynamic games in which at least one agent takes into account its influence on the aggregate environment. We confine our attention to models in which the agents solve stochastic, quadratic optimization problems subject to linear constraints. A convenient feature of such models is that the equilibrium laws of motion are linear in the relevant state variables and can be deduced easily. Consequently, we can obtain tractable characterizations of the empirical implications of the models under alternative rules for how the agents interact.

Pages: 101-142|Title of book: Energy Foresight, and Strategy|Editor(s): Thomas J. Sargent|Place of Publication: Washington, DC|Publisher: Rutledge|Tags: Econometrics|Export BibTeX >
@article{hansen:1985,
  title={Linear-Quadratic Duopoly Models of Resource Depletion},
  author={Hansen, Lars P and Epple, Dennis and Roberds, William},
  journal={Energy, Foresight and Strategy},
  year={1985}
}
April 1983 | Article

Stochastic Consumption, Risk Aversion, and the Temporal Behavior of Asset Returns

Lars Peter Hansen, Kenneth J. Singleton

This paper studies the time-series behavior of asset returns and aggregate consumption. Using a representative consumer model and imposing restrictions on preferences and the joint distribution of consumption and returns, we deduce a restricted log-linear time-series representation. Preference parameters for the representative  agent are estimated and the implied restrictions are tested using postwar data.

Journal: Journal of Political Economy|Volume: 91|Issue Number: 2|Pages: 249-265|Tags: Econometrics, Financial Market Linkages to the Macroeconomy|Export BibTeX >

@article{hansensingleton:1983,
title={Stochastic Consumption, Risk Aversion, and the Temporal Behavior of Asset Returns},
author={Hansen, Lars Peter and Singleton, Kenneth J},
journal={Journal of political economy},
volume={91},
number={2},
pages={249–265},
year={1983},
publisher={The University of Chicago Press}
}

March 1983 | Article

The Dimensionality of the Aliasing Problem in Models with Rational Spectral Densities

Lars Peter Hansen and Thomas J. Sargent

This paper reconsiders the aliasing problem of identifying the parameters of a continuous time stochastic process from discrete time data. It analyzes the extent to which restricting attention to processes with rational spectral density matrices reduces the number of observationally equivalent models. It focuses on rational specifications of spectral density matrices since rational parameterizations are commonly employed in the analysis of time series data.

Journal: Econometrics|Volume: 51|Issue Number: 2|Pages: 377-387|Tags: Econometrics|Export BibTeX >

@article{hansen1983b,

title={The Dimensionality of the Aliasing Problem in Models with Rational Spectral Densities},

author={Hansen, Lars Peter and Sargent, Thomas J},

journal={Econometrica: Journal of the Econometric Society},

pages={377–387},

year={1983},

publisher={JSTOR}

}

February 1983 | Article

Multiperiod Probit Models and Orthogonality Condition Estimation

Robert B. Avery, Lars Peter Hansen, V. Joseph Hotz
Journal: International Economic Review|Volume: 24|Issue Number: 1|Pages: 21-35|Tags: Econometrics, Financial Market Linkages to the Macroeconomy|Export BibTeX >
@article{ahh:1983multiperiod,
  title={Multiperiod probit models and orthogonality condition estimation},
  author={Avery, Robert B and Hansen, Lars Peter and Hotz, V Joseph},
  journal={International Economic Review},
  pages={21--35},
  year={1983},
  publisher={JSTOR}
}
February 1983 | Article

Aggregation Over Time and the Inverse Optimal Predictor Problem for Adaptive Expectations in Continuous Time

Lars Peter Hansen and Thomas J. Sargent

This paper describes the continuous time stochastic process for money and inflation under which Cagan’s adaptive expectations model is optimal. It then analyzes how data formed by sampling money and prices at discrete points in time would behave.

Journal: International Economic Review|Volume: 24|Issue Number: 1|Pages: 1-20|Tags: Econometrics|Export BibTeX >

@article{hansen1983aggregation,

title={Aggregation over time and the inverse optimal predictor problem for adaptive expectations in continuous time},

author={Hansen, Lars Peter and Sargent, Thomas J},

journal={International Economic Review},

pages={1–20},

year={1983},

publisher={JSTOR}

}

January 1983 | Chapter

Risk Averse Speculation in the Forward Foreign Exchange Market: An Econometric Analysis of Linear Models

Lars Peter Hansen and Robert J. Hedrick

In this paper we study the determination of forward foreign exchange rates. An exchange rate is the price of one currency in terms of another currency, and a forward rate is a contractual exchange rate established at a point in time for a transaction that will take place at the maturity date on the contract in the future. Well-organized forward markets exist for all major currencies of the world for various maturities, with the most active contract lengths being one, three, six, and twelve months.

Pages: 113-142|Title of book: Exchange Rates and International Macroeconomics|Editor(s): J.A. Frenkel|Place of Publication: Chicago|Publisher: University of Chicago Press|Tags: Econometrics|Export BibTeX >
@incollection{hansen:1983,
  title={Risk Averse Speculation in the Forward Foreign Exchange Market: An Econometric Analysis of Linear Models},
  author={Hansen, Lars Peter and Hodrick, Robert J},
  booktitle={Exchange Rates and International Macroeconomics},
  pages={113--152},
  year={1983},
  publisher={University of Chicago Press}
}
September 1982 | Article

Generalized Instrumental Variables Estimation of Nonlinear Rational Expectations Models

Lars Peter Hansen, Kenneth J. Singleton

This paper describes a method for estimating and testing nonlinear rational expectations models directly from stochastic Euler equations. The estimation procedure makes sample counterparts to the population orthogonality conditions implied by the economic model close to zero. An attractive feature of this method is that the parameters of the dynamic objective functions of economic agents can be estimated without explicitly solving for the stochastic equilibrium.

(See also “Correction,” Econometrica 52(1): 267-268, January 1984.)

Journal: Econometrica|Volume: 50|Issue Number: 5|Pages: 1269-1286|Export BibTeX >

@article{hansensingleton:1982,
title={Generalized Instrumental Variables Estimation of Nonlinear Rational Expectations Models},
author={Hansen, Lars Peter and Singleton, Kenneth J.},
journal={Econometrica: Journal of the Econometric Society},
pages={1269–1286},
year={1982},
publisher={JSTOR}
}