Recursive Utility Using the Stochastic Maximum Principle

36 Pages Posted: 22 Feb 2014 Last revised: 9 Apr 2015

See all articles by Knut K. Aase

Knut K. Aase

Norwegian School of Economics (NHH) - Department of Business and Management Science

Date Written: March 25, 2015

Abstract

Motivated by the problems of the conventional model in rationalizing market data, we derive the equilibrium interest rate and risk premiums using recursive utility in a continuous time model. We consider the version of recursive utility which gives the most unambiguous separation of risk preference from time substitution, and use the stochastic maximum principle to analyze the model. This method uses forward/backward stochastic differential equations. With existence granted, the market portfolio is determined in terms of future utility and aggregate consumption in equilibrium. The equilibrium real interest rate is also derived, and the the model is shown to be consistent with reasonable values of the parameters of the utility function when calibrated to market data, under various assumptions.

Keywords: The equity premium puzzle, the risk-free rate puzzle, recursive utility, the stochastic maximum principle

JEL Classification: D51, D53, D90, E21, G10, G12

Suggested Citation

Aase, Knut K., Recursive Utility Using the Stochastic Maximum Principle (March 25, 2015). NHH Dept. of Business and Management Science Discussion Paper No. 2014/3. Available at SSRN: https://ssrn.com/abstract=2399361 or http://dx.doi.org/10.2139/ssrn.2399361

Knut K. Aase (Contact Author)

Norwegian School of Economics (NHH) - Department of Business and Management Science ( email )

Helleveien 30
Bergen, NO-5045
Norway

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