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Cycles and Crises in a Model of Debt-financed Investment-led Growth

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  • Datta, Soumya

Abstract

The paper demonstrates possibilities of both convergence to the steady state and emergence of stable growth cycles around it in a simple macrodynamic model of debt-financed investment-led growth. The growth cycles are robust and are generated endogenously, either due to the existence of a supercritical Andronov-Hopf bifurcation, or due to the global stability condition through an application of the Poincaré-Bendixson theorem. The emergence of multiple limit cycles is also observed under certain conditions. The possibility of a deterioration of financial variables during a boom, with the resulting financial crisis providing an endogenous ceiling to a business cycle is examined in this context.

Suggested Citation

  • Datta, Soumya, 2012. "Cycles and Crises in a Model of Debt-financed Investment-led Growth," MPRA Paper 50200, University Library of Munich, Germany, revised 12 Dec 2012.
    • Handle: RePEc:pra:mprapa:50200
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    Cited by:

    1. Datta, Soumya, 2013. "Robustness and Stability of Limit Cycles in a Class of Planar Dynamical Systems," MPRA Paper 50814, University Library of Munich, Germany.
    2. Greg Hannsgen & Tai Young-Taft, 2015. "Inside Money in a Kaldor-Kalecki-Steindl Fiscal Policy Model: The Unit of Account, Inflation, Leverage, and Financial Fragility," Economics Working Paper Archive wp_839, Levy Economics Institute.
    3. Datta, Soumya, 2013. "Convergence, cycles and complex dynamics of financing investment," MPRA Paper 52111, University Library of Munich, Germany, revised 10 Dec 2013.

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    More about this item

    Keywords

    Growth cycles; Financial crisis; Fisher; Minsky; Andronov-Hopf bifurcation; Limit cycles.;
    All these keywords.

    JEL classification:

    • C62 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling - - - Existence and Stability Conditions of Equilibrium
    • C69 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling - - - Other
    • E12 - Macroeconomics and Monetary Economics - - General Aggregative Models - - - Keynes; Keynesian; Post-Keynesian; Modern Monetary Theory
    • E32 - Macroeconomics and Monetary Economics - - Prices, Business Fluctuations, and Cycles - - - Business Fluctuations; Cycles
    • E44 - Macroeconomics and Monetary Economics - - Money and Interest Rates - - - Financial Markets and the Macroeconomy
    • G01 - Financial Economics - - General - - - Financial Crises

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