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Recursive utility using the stochastic maximum principle

  • Aase, Knut K.

    ()

    (Dept. of Business and Management Science, Norwegian School of Economics)

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.

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File URL: http://hdl.handle.net/11250/281074
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Paper provided by Department of Business and Management Science, Norwegian School of Economics in its series Discussion Papers with number 2014/3.

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Length: 35 pages
Date of creation: 20 Feb 2014
Date of revision: 25 Mar 2015
Handle: RePEc:hhs:nhhfms:2014_003
Contact details of provider: Postal:
NHH, Department of Business and Management Science, Helleveien 30, N-5045 Bergen, Norway

Phone: +47 55 95 92 93
Fax: +47 55 95 96 50
Web page: http://www.nhh.no/en/research-faculty/department-of-business-and-management-science.aspx
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