Euler Equation Estimation on Micro Data
AbstractFirst order conditions from the dynamic optimization problems of consumers and firms are important tools in empirical macroeconomics. When estimated on micro-data these equations are typically linearized so standard IV or GMM methods can be employed to deal with the measurement error that is endemic to survey data. However, it has recently been argued that the approximation bias induced by linearization may be worse than the problems that linearization is intended to solve. This paper explores this issue in the context of consumption Euler equations. These equations form the basis of estimates of key macroeconomic parameters: the elasticity of inter-temporal substitution (EIS) and relative prudence. We numerically solve and simulate 6 different life-cycle models, and then use the simulated data as the basis for a series of Monte Carlo experiments in which we consider the validity and relevance of conventional instruments, the consequences of different data sampling schemes, and the effectiveness of alternative estimation strategies. The first-order Euler equation leads to biased estimates of the EIS, but that bias is perhaps not too large when there is a sufficient time dimension to the data, and sufficient variation in interest rates. A sufficient time dimension can only realistically be achieved with a synthetic cohort. Estimates are unlikely to be very precise. Bias will be worse the more impatient agents are. The second order Euler equation suffers from a weak instrument problem and offers no advantage over the first-order approximation.
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 Koc University-TUSIAD Economic Research Forum in its series Koç University-TUSIAD Economic Research Forum Working Papers with number 1221.
Length: 45 pages
Date of creation: Aug 2012
Date of revision:
Euler Equations; Measurement Error; Instrumental Variables; GMM.;
Find related papers by JEL classification:
- E21 - Macroeconomics and Monetary Economics - - Macroeconomics: Consumption, Saving, Production, Employment, and Investment - - - Consumption; Saving; Wealth
- C20 - Mathematical and Quantitative Methods - - Single Equation Models; Single Variables - - - General
This paper has been announced in the following NEP Reports:
- NEP-ALL-2012-08-23 (All new papers)
- NEP-ECM-2012-08-23 (Econometrics)
- NEP-MAC-2012-08-23 (Macroeconomics)
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.:
- Moulton, Brent R., 1986. "Random group effects and the precision of regression estimates," Journal of Econometrics, Elsevier, vol. 32(3), pages 385-397, August.
- Martin Browning & Sule Alan, 2006.
"Estimating Euler Equations with Noisy Data: Two Exact GMM Estimators,"
Economics Series Working Papers
283, University of Oxford, Department of Economics.
- 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.
- 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.
- Deaton, Angus, 1985. "Panel data from time series of cross-sections," Journal of Econometrics, Elsevier, vol. 30(1-2), pages 109-126.
- Attanasio, Orazio P & Weber, Guglielmo, 1995.
"Is Consumption Growth Consistent with Intertemporal Optimization? Evidence from the Consumer Expenditure Survey,"
Journal of Political Economy,
University of Chicago Press, vol. 103(6), pages 1121-57, December.
- Attanasio, O. & Weber, G., 1994. "Is consumption growth consistent with intertemporal optimization? evidence from the consumer expenditure survey," Open Access publications from University College London http://discovery.ucl.ac.u, University College London.
- Orazio P. Attanasio & Guglielmo Weber, 1994. "Is Consumption Growth Consistent with Intertemporal Optimization? Evidence from the Consumer Expenditure Survey," NBER Working Papers 4795, National Bureau of Economic Research, Inc.
- Attanasio, O. & Weber, G., 1995. "Is consumption growth consistent with intertemporal optimization? evidence from the consumer expenditure survey," Open Access publications from University College London http://discovery.ucl.ac.u, University College London.
- Amemiya, Yasuo, 1985. "Instrumental variable estimator for the nonlinear errors-in-variables model," Journal of Econometrics, Elsevier, vol. 28(3), pages 273-289, June.
- Sumru Altug & Robert A. Miller, 1987.
"Household choices in equilibrium,"
341, Federal Reserve Bank of Minneapolis.
- Sumru Altug & Robert Miller, . "Household Choices in Equilibrium," University of Chicago - Population Research Center 87-8, Chicago - Population Research Center.
- repec:bla:restud:v:77:y:2010:i:4:p:1231-1261 is not listed on IDEAS
- Michael P. Murray, 2006. "Avoiding Invalid Instruments and Coping with Weak Instruments," Journal of Economic Perspectives, American Economic Association, vol. 20(4), pages 111-132, Fall.
- Jinyong Hahn & Jerry Hausman & Guido Kuersteiner, 2004. "Estimation with weak instruments: Accuracy of higher-order bias and MSE approximations," Econometrics Journal, Royal Economic Society, vol. 7(1), pages 272-306, 06.
- Thomas Crossley & Hamish Low & Matthew Wakefield, 2009.
"The economics of a temporary VAT cut,"
IFS Working Papers
W09/02, Institute for Fiscal Studies.
For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: (Sumru Oz).
If references are entirely missing, you can add them using this form.