Nonparametric Euler Equation Identification and Estimation Articles uri icon

publication date

  • September 2020

start page

  • 851

end page

  • 891


  • 1


  • 37

International Standard Serial Number (ISSN)

  • 0266-4666

Electronic International Standard Serial Number (EISSN)

  • 1469-4360


  • 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 experiment shows a satisfactory finite sample performance for our estimators.


  • Economics


  • euler equations; marginal utility; pricing kernel; fredholm equations; integral equations; nonparametric identification; asset pricing