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A pitfall in models of external habit formation

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  • Knu Anton Mork

    (Department of Economics, Norwegian University of Science and Technology)

Abstract

This paper points out a flaw in the solution method for dyanmic optimization with external habit formation, such as in Campbell and Cochrane (1999). Their method, which is common in the literature, is to impose the equality between the agent’s and peers’ decisions in the agent’s optimization problem upon deriving the first-order condi- tions. This paper demonstrates the fallacy of this shortcut. Based on the dual function approach, I show that the results are likely to be different qualitatively as well as quan- titatively if the above equality instead is imposed after optimization as the solution to a fixed-point problem in market equilibrium.

Suggested Citation

  • Knu Anton Mork, "undated". "A pitfall in models of external habit formation," Working Paper Series 20325, Department of Economics, Norwegian University of Science and Technology.
    • Handle: RePEc:nst:samfok:20325
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    File URL: http://www.svt.ntnu.no/iso/WP/2025/3_25.pdf
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    References listed on IDEAS

    as
    1. John Y. Campbell & John Cochrane, 1999. "Force of Habit: A Consumption-Based Explanation of Aggregate Stock Market Behavior," Journal of Political Economy, University of Chicago Press, vol. 107(2), pages 205-251, April.
    2. Snorre Lindset & Knut Anton Mork, 2019. "Risk Taking and Fiscal Smoothing with Sovereign Wealth Funds in Advanced Economies," IJFS, MDPI, vol. 7(1), pages 1-24, January.
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    Keywords

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    JEL classification:

    • C61 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling - - - Optimization Techniques; Programming Models; Dynamic Analysis
    • G11 - Financial Economics - - General Financial Markets - - - Portfolio Choice; Investment Decisions
    • G12 - Financial Economics - - General Financial Markets - - - Asset Pricing; Trading Volume; Bond Interest Rates

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