Revisiting the model of credit cycles with Good and Bad projects

• 成果类型: Article
• 署名作者: Matsuyama, Kiminori; Sushko, Iryna; Gardini, Laura
• 署名单位: Northwestern University; National Academy of Sciences Ukraine; Institute of Mathematics of NASU; Kyiv School of Economics; University of Urbino
• 刊物名称: JOURNAL OF ECONOMIC THEORY
• ISSN/ISSBN: 0022-0531
• DOI: 10.1016/j.jet.2016.02.010
• 发表日期: 2016
• 页码: 525-556
• 关键词: Composition of credit flows; financial instability; Corridor stability; The skew-tent map; regime-switching; Piecewise smooth nonlinear dynamical system

摘要

We revisit the model of endogenous credit cycles by Matsuyama (2013, Sections 2-4). First, we show that the same dynamical system that generates the equilibrium trajectory is obtained under a much simpler setting. Such a streamlined presentation should help to highlight the mechanism through which financial frictions cause instability and recurrent fluctuations. Then, we discuss the nature of fluctuations in greater detail when the final goods production function is Cobb Douglas. For example, the unique steady state possesses corridor stability (locally stable but globally unstable) for empirically relevant parameter values. This also means that, when a parameter change causes the steady state to lose its local stability, its effects are catastrophic and irreversible so that even a small, temporary change in the financial friction could have large, permanent effects on volatility. Other features of the dynamics include an immediate transition from the stable steady state to a stable asymmetric cycle of period n >= 3, along which n - 1 >= 2 consecutive periods of gradual expansion are followed by one period of sharp downturn, as well as to a robust chaotic attractor. These results demonstrate the power of the skew-tent map as a tool for analyzing a regime-switching dynamic economic model. (C) 2016 Elsevier Inc. All rights reserved.