Estimating Euler Equations with Noisy Data: Two Exact GMM Estimators
AbstractIn this paper we exploit the specific structure of the Euler equation and develop two alternative GMM estimators that deal explicitly with measurement error. The first estimator assumes that the measurement error is lognormally distributed. The second estimator drops the distributional assumption and solves out for the unknown, but constant, conditional mean. Our Monte Carlo results suggest that both proposed estimators perform much better than conventional alternatives based on the exact Euler equation or its log-linear approximation, especially with short panels. The empirical application of the proposed estimators yields plausible estimates of the coefficient of relative risk aversion and discount rate.
Download InfoIf you experience problems downloading a file, check if you have the proper application to view it first. In case of further problems read the IDEAS help page. Note that these files are not on the IDEAS site. Please be patient as the files may be large.
Bibliographic InfoPaper provided by University of Oxford, Department of Economics in its series Economics Series Working Papers with number 283.
Date of creation: 01 Oct 2006
Date of revision:
Nonlinear Models; Measurement Error; Euler Equation;
Other versions of this item:
- Sule Alan & Orazio Attanasio & Martin Browning, 2009. "Estimating Euler equations with noisy data: two exact GMM estimators," Journal of Applied Econometrics, John Wiley & Sons, Ltd., vol. 24(2), pages 309-324, 03.
- Sule Alan & Orazio Attanasio & Martin Browning, 2005. "Estimating Euler Equations with Noisy Data: Two Exact GMM Estimators," CAM Working Papers 2005-10, University of Copenhagen. Department of Economics. Centre for Applied Microeconometrics.
- C13 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods and Methodology: General - - - Estimation: General
- E21 - Macroeconomics and Monetary Economics - - Consumption, Saving, Production, Employment, and Investment - - - Consumption; Saving; Wealth
This paper has been announced in the following NEP Reports:
- NEP-ALL-2007-04-14 (All new papers)
- NEP-ECM-2007-04-14 (Econometrics)
- NEP-MAC-2007-04-14 (Macroeconomics)
- NEP-UPT-2007-04-14 (Utility Models & Prospect Theory)
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.:
- Hong, Han & Tamer, Elie, 2003. "A simple estimator for nonlinear error in variable models," Journal of Econometrics, Elsevier, vol. 117(1), pages 1-19, November.
- Wansbeek, Tom, 2001. "GMM estimation in panel data models with measurement error," Journal of Econometrics, Elsevier, vol. 104(2), pages 259-268, September.
- Hall, Robert E & Mishkin, Frederic S, 1982.
"The Sensitivity of Consumption to Transitory Income: Estimates from Panel Data on Households,"
Econometric Society, vol. 50(2), pages 461-81, March.
- Robert E. Hall & Frederic S. Mishkin, 1980. "The Sensitivity of Consumption to Transitory Income: Estimates from Panel Data on Households," NBER Working Papers 0505, National Bureau of Economic Research, Inc.
- Browning, Martin & Deaton, Angus & Irish, Margaret, 1985. "A Profitable Approach to Labor Supply and Commodity Demands over the Life-Cycle," Econometrica, Econometric Society, vol. 53(3), pages 503-43, May.
- Hausman, Jerry A. & Newey, Whitney K. & Ichimura, Hidehiko & Powell, James L., 1991. "Identification and estimation of polynomial errors-in-variables models," Journal of Econometrics, Elsevier, vol. 50(3), pages 273-295, December.
- Hansen, Lars Peter & Singleton, Kenneth J, 1982. "Generalized Instrumental Variables Estimation of Nonlinear Rational Expectations Models," Econometrica, Econometric Society, vol. 50(5), pages 1269-86, September.
- Martin Browning & Annamaria Lusardi, 1995.
"Household Saving: Micro Theories and Micro Facts,"
Department of Economics Working Papers
1995-02, McMaster University.
- Attanasio, O.P. & Browning, M., 1993.
"Consumption Over the Life Cycle and Over the Business Cycle,"
9314, Tilburg - Center for Economic Research.
- Attanasio, Orazio P & Browning, Martin, 1995. "Consumption over the Life Cycle and over the Business Cycle," American Economic Review, American Economic Association, vol. 85(5), pages 1118-37, December.
- Orazio P. Attanasio & Martin Browning, 1993. "Consumption over the Life Cycle and over the Business Cycle," NBER Working Papers 4453, National Bureau of Economic Research, Inc.
- Attanasio, O.P. & Browning, M.J., 1993. "Consumption over the life cycle and over the business cycle," Discussion Paper 1993-14, Tilburg University, Center for Economic Research.
- Karen E. Dynan, 2000. "Habit Formation in Consumer Preferences: Evidence from Panel Data," American Economic Review, American Economic Association, vol. 90(3), pages 391-406, June.
- Joseph G. Altonji & Aloysius Siow, 1986.
"Testing the Response of Consumption to Income Changes with (Noisy) PanelData,"
NBER Working Papers
2012, National Bureau of Economic Research, Inc.
- Altonji, Joseph G & Siow, Aloysius, 1987. "Testing the Response of Consumption to Income Changes with (Noisy) Panel Data," The Quarterly Journal of Economics, MIT Press, vol. 102(2), pages 293-328, May.
- Runkle, David E., 1991. "Liquidity constraints and the permanent-income hypothesis : Evidence from panel data," Journal of Monetary Economics, Elsevier, vol. 27(1), pages 73-98, February.
- Jerry Hausman, 2001. "Mismeasured Variables in Econometric Analysis: Problems from the Right and Problems from the Left," Journal of Economic Perspectives, American Economic Association, vol. 15(4), pages 57-67, Fall.
- Orazio P. Attanasio & Hamish Low, 2000.
"Estimating Euler Equations,"
NBER Technical Working Papers
0253, National Bureau of Economic Research, Inc.
- James H. Stock & Jonathan Wright, 2000. "GMM with Weak Identification," Econometrica, Econometric Society, vol. 68(5), pages 1055-1096, September.
- Deaton, Angus, 1985. "Panel data from time series of cross-sections," Journal of Econometrics, Elsevier, vol. 30(1-2), pages 109-126.
- Stock, James H & Wright, Jonathan H & Yogo, Motohiro, 2002. "A Survey of Weak Instruments and Weak Identification in Generalized Method of Moments," Journal of Business & Economic Statistics, American Statistical Association, vol. 20(4), pages 518-29, October.
- Hausman, J. A. & Newey, W. K. & Powell, J. L., 1995.
"Nonlinear errors in variables Estimation of some Engel curves,"
Journal of Econometrics,
Elsevier, vol. 65(1), pages 205-233, January.
- J. A. Hausman & W. K. Newey & J. L. Powel, 1988. "Nonlinear Errors in Variables: Estimation of Some Engel Curves," Working papers 504, Massachusetts Institute of Technology (MIT), Department of Economics.
- Amemiya, Yasuo, 1985. "Instrumental variable estimator for the nonlinear errors-in-variables model," Journal of Econometrics, Elsevier, vol. 28(3), pages 273-289, June.
- Sule Alan & Martin Browning, 2003. "Estimating Intertemporal Allocation Parameters using Simulated Residual Estimation," CAM Working Papers 2003-03, University of Copenhagen. Department of Economics. Centre for Applied Microeconometrics.
- Olga gorbachev, 2007.
"Did Household Consumption Become More Volatile?,"
ESE Discussion Papers
161, Edinburgh School of Economics, University of Edinburgh.
- Naeem Ahmed & Matthew Brzozowski & Thomas F. Crossley, 2005.
"Measurement Errors in Recall Food Expenditure Data,"
Social and Economic Dimensions of an Aging Population Research Papers
133, McMaster University.
- Naeem Ahmed & Matthew Brzozowski & Thomas F. Crossley, 2005. "Measurement Errors in Recall Food Expenditure Data," Quantitative Studies in Economics and Population Research Reports 396, McMaster University.
- Naeem Ahmed & Matthew Brzozowski & Thomas Crossley, 2006. "Measurement errors in recall food consumption data," IFS Working Papers W06/21, Institute for Fiscal Studies.
- Natalia, Khorunzhina & Wayne Roy, Gayle, 2011. "Heterogenous intertemporal elasticity of substitution and relative risk aversion: estimation of optimal consumption choice with habit formation and measurement errors," MPRA Paper 34329, University Library of Munich, Germany.
- Christian Chiglino & Nicole Tabasso, 2014. "Risk Aversion in a Model of Endogenous Growth," School of Economics Discussion Papers 0314, School of Economics, University of Surrey.
- Irina Khvostova & Alexander Larin & Anna Novak, 2014. "Euler equation with habits and measurement errors: estimates on Russian micro data," HSE Working papers WP BRP 52/EC/2014, National Research University Higher School of Economics.
- Sule Alan & Martin Browning, 2010. "Estimating Intertemporal Allocation Parameters using Synthetic Residual Estimation," Review of Economic Studies, Oxford University Press, vol. 77(4), pages 1231-1261.
- Larin, Alexander & Novak, Anna & Khvostova, Irina, 2013. "Consumption dynamics in Russia: Estimates on microdata," Applied Econometrics, Publishing House "SINERGIA PRESS", vol. 32(4), pages 29-44.
- Antoine Bozio & Guy Laroque & Cormac O'Dea, 2013. "Heterogeneity in time preference in older households," IFS Working Papers W13/02, Institute for Fiscal Studies.
- Sule Alan & Kadir Atalay & Thomas F. Crossley, 2012. "Euler Equation Estimation on Micro Data," KoÃ§ University-TUSIAD Economic Research Forum Working Papers 1221, Koc University-TUSIAD Economic Research Forum.
- Jørgensen, Thomas H., 2013. "Structural estimation of continuous choice models: Evaluating the EGM and MPEC," Economics Letters, Elsevier, vol. 119(3), pages 287-290.
For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: (Caroline Wise).
If references are entirely missing, you can add them using this form.