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Recursive utility using the stochastic maximum principle

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  • Aase, Knut K.

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

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.

Suggested Citation

  • Aase, Knut K., 2014. "Recursive utility using the stochastic maximum principle," Discussion Papers 2014/3, Norwegian School of Economics, Department of Business and Management Science, revised 25 Mar 2015.
  • Handle: RePEc:hhs:nhhfms:2014_003
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    File URL: http://hdl.handle.net/11250/281074
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    Cited by:

    1. Aase, Knut K., 2014. "Recursive utility and jump-diffusions," Discussion Papers 2014/9, Norwegian School of Economics, Department of Business and Management Science.
    2. Aase, Knut K., 2014. "The Life Cycle Model with Recursive Utility: New insights on optimal consumption," Discussion Papers 2014/19, Norwegian School of Economics, Department of Business and Management Science, revised 16 Oct 2015.
    3. Aase, Knut K., 2015. "The equity premium in a production economy; A new perspective involving recursive utility," Discussion Papers 2015/15, Norwegian School of Economics, Department of Business and Management Science.
    4. Aase, Knut K., 2014. "Heterogeneity and limited stock market Participation," Discussion Papers 2014/5, Norwegian School of Economics, Department of Business and Management Science, revised 25 Mar 2015.

    More about this item

    Keywords

    The equity premium puzzle; the risk-free rate puzzle; recursive utility; the stochastic maximum principle;

    JEL classification:

    • D51 - Microeconomics - - General Equilibrium and Disequilibrium - - - Exchange and Production Economies
    • D53 - Microeconomics - - General Equilibrium and Disequilibrium - - - Financial Markets
    • D90 - Microeconomics - - Micro-Based Behavioral Economics - - - General
    • E21 - Macroeconomics and Monetary Economics - - Consumption, Saving, Production, Employment, and Investment - - - Consumption; Saving; Wealth
    • G10 - Financial Economics - - General Financial Markets - - - General (includes Measurement and Data)
    • G12 - Financial Economics - - General Financial Markets - - - Asset Pricing; Trading Volume; Bond Interest Rates

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