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Recursive utility using the stochastic maximum principle

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  • Knut K. Aase

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 use the stochastic maximum principle to analyze the model. This method uses forward/backward stochastic differential equations, and works when the economy is not Markovian, which can be the case with recursive utility. With existence granted, the wealth portfolio is characterized in equilibrium in terms of utility and aggregate consumption. The equilibrium real interest rate is derived, and the resulting 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

  • Knut K. Aase, 2016. "Recursive utility using the stochastic maximum principle," Quantitative Economics, Econometric Society, vol. 7(3), pages 859-887, November.
    • Handle: RePEc:wly:quante:v:7:y:2016:i:3:p:859-887
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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.
    5. Goncalo dos Reis & Vadim Platonov, 2020. "Forward utility and market adjustments in relative investment-consumption games of many players," Papers 2012.01235, arXiv.org, revised Mar 2022.

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    More about this item

    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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