Euler Equation Estimation on Micro Data
First 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.
|Date of creation:||Aug 2012|
|Date of revision:|
|Contact details of provider:|| Postal: Rumelifeneri Yolu, Sarıyer, 34450 İstanbul|
Web page: http://erf.ku.edu.tr
More information through EDIRC
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.:
- 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, 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.
- 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.
- 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.
- 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.
- 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.
- Shapiro, Matthew D., 1984. "The permanent income hypothesis and the real interest rate : Some evidence from panel data," Economics Letters, Elsevier, vol. 14(1), pages 93-100.
- M. Fatih Guvenen, 2002.
"Reconciling Conflicting Evidence on the Elasticity of Intertemporal Substitution: A Macroeconomic Perspective,"
RCER Working Papers
491, University of Rochester - Center for Economic Research (RCER), revised Mar 2003.
- Guvenen, Fatih, 2006. "Reconciling conflicting evidence on the elasticity of intertemporal substitution: A macroeconomic perspective," Journal of Monetary Economics, Elsevier, vol. 53(7), pages 1451-1472, October.
- Fatih Guvenen, 2005. "Reconciling Conflicting Evidence on the Elasticity of Intertemporal Substitution: A Macroeconomic Perspective," Macroeconomics 0507005, EconWPA.
- 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.
- Thomas F. Crossley & Hamish Low & Matthew Wakefield, 2009.
"The Economics of a Temporary VAT Cut,"
Institute for Fiscal Studies, vol. 30(1), pages 3-16, 03.
- Moulton, Brent R., 1986. "Random group effects and the precision of regression estimates," Journal of Econometrics, Elsevier, vol. 32(3), pages 385-397, August.
- 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.
- Deaton, Angus, 1985. "Panel data from time series of cross-sections," Journal of Econometrics, Elsevier, vol. 30(1-2), pages 109-126.
When requesting a correction, please mention this item's handle: RePEc:koc:wpaper:1221. See general information about how to correct material in RePEc.
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.