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Repeated Transition Method and the Nonlinear Business Cycle with the Corporate Saving Glut

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  • Lee, Hanbaek

Abstract

This paper develops a novel methodology to globally solve nonlinear dynamic stochastic general equilibrium models with high accuracy. The algorithm is based on the ergodic theorem: if a simulated path of the aggregate shock is long enough, all the possible equilibrium allocations are realized, enabling a complete characterization of the rationally expected future outcomes at each point on the path. The algorithm is applied to a heterogeneous-firm business cycle model where firms hoard cash as a buffer stock. Using the model, I analyze the state-dependent shock sensitivity of consumption over corporate cash stocks and provide empirical evidence.

Suggested Citation

  • Lee, Hanbaek, 2022. "Repeated Transition Method and the Nonlinear Business Cycle with the Corporate Saving Glut," MPRA Paper 115887, University Library of Munich, Germany.
  • Handle: RePEc:pra:mprapa:115887
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    File URL: https://mpra.ub.uni-muenchen.de/119931/1/MPRA_paper_116023.pdf
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    References listed on IDEAS

    as
    1. Leigh A. Riddick & Toni M. Whited, 2009. "The Corporate Propensity to Save," Journal of Finance, American Finance Association, vol. 64(4), pages 1729-1766, August.
    2. Adrien Auclert & Bence Bardóczy & Matthew Rognlie & Ludwig Straub, 2021. "Using the Sequence‐Space Jacobian to Solve and Estimate Heterogeneous‐Agent Models," Econometrica, Econometric Society, vol. 89(5), pages 2375-2408, September.
    3. Boppart, Timo & Krusell, Per & Mitman, Kurt, 2018. "Exploiting MIT shocks in heterogeneous-agent economies: the impulse response as a numerical derivative," Journal of Economic Dynamics and Control, Elsevier, vol. 89(C), pages 68-92.
    4. S. Rao Aiyagari, 1994. "Uninsured Idiosyncratic Risk and Aggregate Saving," The Quarterly Journal of Economics, Oxford University Press, vol. 109(3), pages 659-684.
    5. SeHyoun Ahn & Greg Kaplan & Benjamin Moll & Thomas Winberry & Christian Wolf, 2018. "When Inequality Matters for Macro and Macro Matters for Inequality," NBER Macroeconomics Annual, University of Chicago Press, vol. 32(1), pages 1-75.
    6. Krusell, Per & Smith, Anthony A., 1997. "Income And Wealth Heterogeneity, Portfolio Choice, And Equilibrium Asset Returns," Macroeconomic Dynamics, Cambridge University Press, vol. 1(2), pages 387-422, June.
    7. Den Haan, Wouter J., 2010. "Assessing the accuracy of the aggregate law of motion in models with heterogeneous agents," Journal of Economic Dynamics and Control, Elsevier, vol. 34(1), pages 79-99, January.
    8. Young, Eric R., 2010. "Solving the incomplete markets model with aggregate uncertainty using the Krusell-Smith algorithm and non-stochastic simulations," Journal of Economic Dynamics and Control, Elsevier, vol. 34(1), pages 36-41, January.
    9. Reiter, Michael, 2009. "Solving heterogeneous-agent models by projection and perturbation," Journal of Economic Dynamics and Control, Elsevier, vol. 33(3), pages 649-665, March.
    10. Thomas Winberry, 2018. "A method for solving and estimating heterogeneous agent macro models," Quantitative Economics, Econometric Society, vol. 9(3), pages 1123-1151, November.
    11. Christopher D. Carroll, 1997. "Buffer-Stock Saving and the Life Cycle/Permanent Income Hypothesis," The Quarterly Journal of Economics, Oxford University Press, vol. 112(1), pages 1-55.
    12. Mark T. Leary & Roni Michaely, 2011. "Determinants of Dividend Smoothing: Empirical Evidence," Review of Financial Studies, Society for Financial Studies, vol. 24(10), pages 3197-3249.
    13. Bliss, Barbara A. & Cheng, Yingmei & Denis, David J., 2015. "Corporate payout, cash retention, and the supply of credit: Evidence from the 2008–2009 credit crisis," Journal of Financial Economics, Elsevier, vol. 115(3), pages 521-540.
    14. Lee, Hanbaek, 2022. "Striking While the Iron Is Cold: Fragility after a Surge of Lumpy Investments," MPRA Paper 115872, University Library of Munich, Germany.
    Full references (including those not matched with items on IDEAS)

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    More about this item

    Keywords

    Nonlinear business cycle; heterogeneous agents; stochastic dynamic programming; monotone function; state dependence.;
    All these keywords.

    JEL classification:

    • C63 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling - - - Computational Techniques
    • D21 - Microeconomics - - Production and Organizations - - - Firm Behavior: Theory
    • E32 - Macroeconomics and Monetary Economics - - Prices, Business Fluctuations, and Cycles - - - Business Fluctuations; Cycles

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