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Nonparametric Euler Equation Identi?cation and Estimation

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  • Escanciano, J C.
  • Hoderlein, S.
  • Lewbel, A.
  • Linton, O.
  • Srisuma, S.

Abstract

We consider nonparametric identification and estimation of pricing kernels, or equivalently of marginal utility functions up to scale, in consumption based asset pricing Euler equations. Ours is the first paper to prove nonparametric identification of Euler equations under low level conditions (without imposing functional restrictions or just assuming completeness). We also propose a novel nonparametric estimator based on our identification analysis, which combines standard kernel estimation with the computation of a matrix eigenvector problem. Our estimator avoids the ill-posed inverse issues associated with nonparametric instrumental variables estimators. We derive limiting distributions for our estimator and for relevant associated functionals. A Monte Carlo shows a satisfactory finite sample performance for our estimators.

Suggested Citation

  • Escanciano, J C. & Hoderlein, S. & Lewbel, A. & Linton, O. & Srisuma, S., 2020. "Nonparametric Euler Equation Identi?cation and Estimation," Cambridge Working Papers in Economics 2064, Faculty of Economics, University of Cambridge.
  • Handle: RePEc:cam:camdae:2064
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    Cited by:

    1. Cui, Liyuan & Hong, Yongmiao & Li, Yingxing, 2021. "Solving Euler equations via two-stage nonparametric penalized splines," Journal of Econometrics, Elsevier, vol. 222(2), pages 1024-1056.
    2. Timothy M. Christensen, 2014. "Nonparametric identification of positive eigenfunctions," CeMMAP working papers CWP37/14, Centre for Microdata Methods and Practice, Institute for Fiscal Studies.
    3. Bruneel-Zupanc, Christophe Alain, 2021. "Discrete-Continuous Dynamic Choice Models: Identification and Conditional Choice Probability Estimation," TSE Working Papers 21-1185, Toulouse School of Economics (TSE).
    4. Andreas Tryphonides, 2023. "Identifying Preferences when Households are Financially Constrained," Review of Economic Dynamics, Elsevier for the Society for Economic Dynamics, vol. 51, pages 521-546, December.
    5. Xiaohong Chen & Victor Chernozhukov & Sokbae Lee & Whitney K. Newey, 2014. "Local Identification of Nonparametric and Semiparametric Models," Econometrica, Econometric Society, vol. 82(2), pages 785-809, March.
    6. Sadegh Eshaghnia & James J. Heckman & Rasmus Landersø & Rafeh Qureshi, 2022. "Intergenerational Transmission of Family Influence," NBER Working Papers 30412, National Bureau of Economic Research, Inc.
    7. Dalderop, Jeroen, 2023. "Semiparametric estimation of latent variable asset pricing models," Journal of Econometrics, Elsevier, vol. 236(1).
    8. Marcel Fafchamps & Aditya Shrinivas, 2022. "Risk Pooling and Precautionary Saving in Village Economies," NBER Working Papers 30128, National Bureau of Economic Research, Inc.
    9. Brant Abbott & Giovanni Gallipoli, 2022. "Permanent‐income inequality," Quantitative Economics, Econometric Society, vol. 13(3), pages 1023-1060, July.
    10. Victor H Aguiar & Nail Kashaev, 2021. "Stochastic Revealed Preferences with Measurement Error [Consistency between Household-level Consumption Data from Registers and Surveys]," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 88(4), pages 2042-2093.
    11. Andrew Bennett & Nathan Kallus & Xiaojie Mao & Whitney Newey & Vasilis Syrgkanis & Masatoshi Uehara, 2023. "Minimax Instrumental Variable Regression and $L_2$ Convergence Guarantees without Identification or Closedness," Papers 2302.05404, arXiv.org.
    12. Kalouptsidi, Myrto & Scott, Paul T. & Souza-Rodrigues, Eduardo, 2018. "Linear IV Regression Estimators for Structural Dynamic Discrete Choice Models," CEPR Discussion Papers 13240, C.E.P.R. Discussion Papers.
    13. Myrto Kalouptsidi & Paul T. Scott & Eduardo Souza-Rodrigues, 2018. "Linear IV Regression Estimators for Structural Dynamic Discrete Choice Models," NBER Working Papers 25134, National Bureau of Economic Research, Inc.
    14. Striani, Fabrizio, 2023. "Life-cycle consumption and life insurance: Empirical evidence from Italian Survey," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 619(C).
    15. Andreas Tryphonides, 2023. "Identifying Preferences when Households are Financially Constrained," Review of Economic Dynamics, Elsevier for the Society for Economic Dynamics, vol. 51, pages 521-546, December.

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    More about this item

    Keywords

    uler equations; marginal utility; pricing kernel; Fredholm equations; integral equations; nonparametric identification; asset pricing;
    All these keywords.

    JEL classification:

    • C14 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods and Methodology: General - - - Semiparametric and Nonparametric Methods: General
    • D91 - Microeconomics - - Micro-Based Behavioral Economics - - - Role and Effects of Psychological, Emotional, Social, and Cognitive Factors on Decision Making
    • E21 - Macroeconomics and Monetary Economics - - Consumption, Saving, Production, Employment, and Investment - - - Consumption; Saving; Wealth
    • G12 - Financial Economics - - General Financial Markets - - - Asset Pricing; Trading Volume; Bond Interest Rates

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