Nonparametric Euler Equation Identification and Estimation
We consider nonparametric identification and estimation of consumption based asset pricing Euler equations. This entails estimation of pricing kernels or equivalently marginal utility functions up to scale. The standard way of writing these Euler pricing equations yields Fredholm integral equations of the first kind, resulting in the ill posed inverse problem. We show that these equations can be written in a form that equals, (or with habits, resembles) Fredholm integral equations of the second kind, having well posed rather than ill posed inverses. We allow durables, habits, or both to affect utility. We show how to extend the usual method of solving Fredholm integral equations of the second kind to allow for the presence of habits. Using these results, we show with few low level assumptions that marginal utility functions and pricing kernels are locally nonparametrically identified, and we give conditions for finite set and point identification of these functions. Unlike the case of ill posed inverse problems, the limiting distribution theory for our nonparametric estimators should be relatively standard.
|Date of creation:||01 Jun 2010|
|Date of revision:||23 Feb 2011|
|Contact details of provider:|| Postal: Boston College, 140 Commonwealth Avenue, Chestnut Hill MA 02467 USA|
Web page: http://fmwww.bc.edu/EC/
More information through EDIRC
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.:
- Chapman, D.A., 1996.
"Approximating the Asset Pricing Kernel,"
96-02, Rochester, Business - Financial Research and Policy Studies.
- Elie Tamer, 2010. "Partial Identification in Econometrics," Annual Review of Economics, Annual Reviews, vol. 2(1), pages 167-195, 09.
- Andrews, Donald W.K., 1995. "Nonparametric Kernel Estimation for Semiparametric Models," Econometric Theory, Cambridge University Press, vol. 11(03), pages 560-586, June.
- Yonghong An & Yingyao Hu, 2009.
"Well-posedness of measurement error models for self-reported data,"
CeMMAP working papers
CWP35/09, Centre for Microdata Methods and Practice, Institute for Fiscal Studies.
- An, Yonghong & Hu, Yingyao, 2012. "Well-posedness of measurement error models for self-reported data," Journal of Econometrics, Elsevier, vol. 168(2), pages 259-269.
- Yonghong An & Yingyao Hu, 2009. "Well-Posedness of Measurement Error Models for Self-Reported Data," Economics Working Paper Archive 556, The Johns Hopkins University,Department of Economics.
- Gallant, A.R. & Tauchen, G., 1988.
"Seminonparametric Estimation Of Conditionally Constrained Heterogeneous Processes: Asset Pricing Applications,"
88-59, Chicago - Graduate School of Business.
- Gallant, Ronald & Tauchen, George, 1989. "Seminonparametric Estimation of Conditionally Constrained Heterogeneous Processes: Asset Pricing Applications," Econometrica, Econometric Society, vol. 57(5), pages 1091-1120, September.
- Dunn, Kenneth B. & Singleton, Kenneth J., 1986. "Modeling the term structure of interest rates under non-separable utility and durability of goods," Journal of Financial Economics, Elsevier, vol. 17(1), pages 27-55, September.
- Rothenberg, Thomas J, 1971. "Identification in Parametric Models," Econometrica, Econometric Society, vol. 39(3), pages 577-591, May.
- Felix Kubler & Karl Schmedders, 2010.
"Non-parametric counterfactual analysis in dynamic general equilibrium,"
Springer;Society for the Advancement of Economic Theory (SAET), vol. 45(1), pages 181-200, October.
- Felix KUBLER & Karl SCHMEDDERS, "undated". "Non-parametric counterfactual analysis in dynamic general equilibrium," Swiss Finance Institute Research Paper Series 09-05, Swiss Finance Institute.
- Felix Kubler & Karl Schmedders, 2007. "Non-parametric counterfactual analysis in dynamic general equilibrium," PIER Working Paper Archive 07-027, Penn Institute for Economic Research, Department of Economics, University of Pennsylvania.
- Erich Battistin & Richard Blundell & Arthur Lewbel, 2009.
"Why Is Consumption More Log Normal than Income? Gibrat's Law Revisited,"
Journal of Political Economy,
University of Chicago Press, vol. 117(6), pages 1140-1154, December.
- Erich Battistin & Richard Blundell & Arthur Lewbel, 2007. "Why is Consumption More Log Normal Than Income? Gibrat's Law Revisited," Boston College Working Papers in Economics 671, Boston College Department of Economics.
- Erich Battistin & Richard Blundell & Arthur Lewbel, 2007. "Why is consumption more log normal than income? Gibrat's law revisited," IFS Working Papers W07/08, Institute for Fiscal Studies.
- Carrasco, Marine & Florens, Jean-Pierre & Renault, Eric, 2007. "Linear Inverse Problems in Structural Econometrics Estimation Based on Spectral Decomposition and Regularization," Handbook of Econometrics, in: J.J. Heckman & E.E. Leamer (ed.), Handbook of Econometrics, edition 1, volume 6, chapter 77 Elsevier.
- Lucas, Robert E, Jr, 1978. "Asset Prices in an Exchange Economy," Econometrica, Econometric Society, vol. 46(6), pages 1429-1445, November.
- Hansen, Lars Peter, 1982. "Large Sample Properties of Generalized Method of Moments Estimators," Econometrica, Econometric Society, vol. 50(4), pages 1029-1054, July.
- Cai, Zongwu & Ren, Yu & Sun, Linman, 2015. "Pricing Kernel Estimation: A Local Estimating Equation Approach," Econometric Theory, Cambridge University Press, vol. 31(03), pages 560-580, June.
- Lawrance, Emily C, 1991. "Poverty and the Rate of Time Preference: Evidence from Panel Data," Journal of Political Economy, University of Chicago Press, vol. 99(1), pages 54-77, February.
- Steve Ross, 2015. "The Recovery Theorem," Journal of Finance, American Finance Association, vol. 70(2), pages 615-648, 04.
- Timothy Christensen, 2014. "Nonparametric Stochastic Discount Factor Decomposition," Papers 1412.4428, arXiv.org, revised Aug 2016.
- Serge Darolles & Jean-Pierre Florens & Christian Gourieroux, 2004.
"Kernel-based nonlinear canonical analysis and time reversibility,"
- Darolles, Serge & Florens, Jean-Pierre & Gourieroux, Christian, 2004. "Kernel-based nonlinear canonical analysis and time reversibility," Journal of Econometrics, Elsevier, vol. 119(2), pages 323-353, April.
- Serge Darolles & Jean-Pierre Florens & Christian Gourieroux, 2000. "Kernel Based Nonlinear Canonical Analysis and Time Reversibility," Working Papers 2000-18, Centre de Recherche en Economie et Statistique.
- Mankiw, N. Gregory, 1982. "Hall's consumption hypothesis and durable goods," Journal of Monetary Economics, Elsevier, vol. 10(3), pages 417-425.
- Hall, Robert E, 1978. "Stochastic Implications of the Life Cycle-Permanent Income Hypothesis: Theory and Evidence," Journal of Political Economy, University of Chicago Press, vol. 86(6), pages 971-987, December.
- Sargan, J D, 1983. "Identification and Lack of Identification," Econometrica, Econometric Society, vol. 51(6), pages 1605-1633, November.
- Escanciano, Juan Carlos & Jacho-Chávez, David T. & Lewbel, Arthur, 2014.
"Uniform convergence of weighted sums of non and semiparametric residuals for estimation and testing,"
Journal of Econometrics,
Elsevier, vol. 178(P3), pages 426-443.
- Juan Carlos Escanciano & David Jacho-Chavez & Arthur Lewbel, 2010. "Uniform Convergence of Weighted Sums of Non- and Semi-parametric Residuals for Estimation and Testing," Boston College Working Papers in Economics 756, Boston College Department of Economics, revised 31 Jan 2012.
- Stefan Hoderlein & Lars Nesheim & Anna Simoni, 2012.
"Semiparametric estimation of random coefficients in structural economic models,"
CeMMAP working papers
CWP09/12, Centre for Microdata Methods and Practice, Institute for Fiscal Studies.
- Stefan Hoderlein & Lars Nesheim & Anna Simoni, 2015. "Semiparametric Estimation of Random Coefficients in Structural Economic Models," Boston College Working Papers in Economics 895, Boston College Department of Economics, revised 01 Feb 2016.
- Xiaohong Chen & Lars Peter Hansen & Jose Scheinkman, 2009. "Principal Components and Long Run Implications of Multivariate Diffusions," Cowles Foundation Discussion Papers 1694, Cowles Foundation for Research in Economics, Yale University.
When requesting a correction, please mention this item's handle: RePEc:boc:bocoec:757. 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: (Christopher F Baum)
If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.
If references are entirely missing, you can add them using this form.
If the full references list an item that is present in RePEc, but the system did not link to it, you can help with this form.
If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your profile, as there may be some citations waiting for confirmation.
Please note that corrections may take a couple of weeks to filter through the various RePEc services.