Desogus, Marco and Casu, Elisa (2020): What Are the Impacts of Credit Crunch on the Bank-Enterprise System? An Analysis Through Dynamic Modeling and an Italian Dataset. Published in: Applied Mathematical Sciences , Vol. 14, No. 14 (2020): pp. 679-703.
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Abstract
There is an intrinsic and mutualistic dependence between the bio-economic performance of banks and that of enterprises. This supposition is supported by correlations identified in a comprehensive analysis of the Italian banking sector, which reveal particularly strong relations between financial intermediaries and smaller enterprises. Concentrating on developments within the bank-enterprise system (and by extension, in households), we discuss the positive effects, including on macroeconomics, generated when the banking sector supplies funding to productive infrastructure to understand how the industry remains healthy and efficient. The negative effects produced by the disappearance of such a cycle are also considered. This paper thus presents a mathematical argument through dynamic modelling to evaluate the structural trends in bank and company populations that result from more and less expansive credit strategies assumed by banks. Empirical observations of this data also reflect the critical stress factor of the (micro)enterprise population that allows it to generate positive economic variations as financial leverage decreases. The ensuing assessment of stable and unstable points of equilibrium as well as bifurcations and their irreversibility (hysteresis) reveals that banks have stagnating profits and increasing numbers of non-performing loans. Finally, we investigate the possibility of an optimal minimum level of credit leverage and how to improve the stabilizing measures that are conferred to the system itself, especially given the uncertainty caused by the COVID-19 pandemic.
Item Type: | MPRA Paper |
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Original Title: | What Are the Impacts of Credit Crunch on the Bank-Enterprise System? An Analysis Through Dynamic Modeling and an Italian Dataset |
Language: | English |
Keywords: | credit crunch; dynamic modelling; simulation; credit big data; economic systems; financial stability; non-linear analysis |
Subjects: | C - Mathematical and Quantitative Methods > C6 - Mathematical Methods ; Programming Models ; Mathematical and Simulation Modeling > C61 - Optimization Techniques ; Programming Models ; Dynamic Analysis C - Mathematical and Quantitative Methods > C6 - Mathematical Methods ; Programming Models ; Mathematical and Simulation Modeling > C62 - Existence and Stability Conditions of Equilibrium E - Macroeconomics and Monetary Economics > E3 - Prices, Business Fluctuations, and Cycles > E32 - Business Fluctuations ; Cycles E - Macroeconomics and Monetary Economics > E4 - Money and Interest Rates > E44 - Financial Markets and the Macroeconomy G - Financial Economics > G2 - Financial Institutions and Services > G21 - Banks ; Depository Institutions ; Micro Finance Institutions ; Mortgages |
Item ID: | 114349 |
Depositing User: | Dr. Marco Desogus |
Date Deposited: | 09 Sep 2022 08:15 |
Last Modified: | 09 Sep 2022 08:15 |
References: | Abi-Cerved, Outlook ABI-Cerved su sofferenze imprese (2018 and 2019). Retrieved from https://www.abi.it/Pagine/Mercati/Analisi/Scenario-e-previsioni/Outlook-ABI-Cerved-su-sofferenze-imprese.aspx B.S. Bernanke, M. Gertler and S. Gilchrist, The financial accelerator and the flight to quality, The Review of Economics and Statistics, 78(1) (1996), 1-15. G.I. Bischi, F. Lamantia and L. Sbragia, Modelli matematici e politiche per la gestione della pesca. In G. Antonelli, G.I. Bischi and E Viganò, La sostenibilità nel settore della pesca. Modelli, politiche, esperienze in un’area del litorale romagnolo-marchigiano (33-63), FrancoAngeli, Milano, 2005. F.J. Buera, R.N. Fattal-Jaef and Y. Shin, Anatomy of a credit crunch: from capital to labor markets, Review of Economic Dynamics, 18(1) (2015), 101-117. G. Conti, Matematica e rischio di credito (2016). Retrieved from http://www.mathisintheair.org/wp S. Costanzini, Analisi dei sistemi dinamici e della loro stabilità nelle applicazioni economiche. [Unpublished manuscript]. Department of Mathematics, University of Bologna (2009). Retrieved from https://www.dm.unibo.it/~fioresi/tesi/TesiCostanzini.pdf R.B. Cross, On the foundations of hysteresis in economic systems, Economics and Philosophy, 9(1) (1993), 53-74. M. Desogus and E. Casu, A contribution on relationship banking. Economic, anthropological and mathematical reasoning, empirical evidence from Italy, International Research Journal of Finance and Economics, 178 (2020), 25-49. M. Desogus and B. Venturi, Bank crashes and micro enterprise loans, International Journal of Business and Social Science, 10(12) (2019), 35-53. K. Düllmann and T. Kick, Stress testing German banks against a global credit crunch, Financial Markets and Portfolio Management, 28, 337-361. J. Elster, A note on hysteresis in the social sciences, Synthese, 33 (1976), 371–391. European Central Bank. Guidance to banks on non-performing loans, (2017) Retrieved from: https://www.bankingsupervision.europa.eu/ecb/pub/pdf/guidance_on_npl.en.pdf H.G. Fong and O.A. Vasicek, A risk minimizing strategy for portfolio immunization, The Journal of Finance, 39 (1984), 1541-6. R.M. Goodwin, The nonlinear accelerator and the persistence of business cycles, Econometrica, 19 (1951), 1–17. S.J. Guastello, Chaos, catastrophe, and human affairs: Applications of nonlinear dynamics to work, organizations, and social evolution, Lawrence Erlbaum Associates, Mahwah, NJ, 1995. B. Hernàndez-Bermejo and V. Fairén, Lotka-Volterra representation of general nonlinear systems, Mathematical Biosciences, 140 (1997), 1–32. C.S. Holling, Resilience and stability of ecological systems, Annual Review of Ecology and Systematics, 4 (1973), 1–24. R. Iyer, J.L. Peydró, S. Da-Rocha-Lopes. and A. Schoar, Interbank liquidity crunch and the firm credit crunch: Evidence from the 2007–2009 crisis, The Review of Financial Studies, 27(1) (2014), 347-372. Y.A. Kuznetsov, S. Muratori and S. Rinaldi, Bifurcations and chaos in a periodic predator-prey model, International Journal of Bifurcation and Chaos, 2 (1992), 117–128. P. Orton, J. Ansell and G. Andreeva, Exploring the performance of small- and medium-sized enterprises through the credit crunch, The Journal of the Operational Research Society, 66(4) (2014), 657-663. L. Perko, Differential Equations and Dynamical Systems (3rd ed.). Springer-Verlag, New York, 2001. N. Petrosky-Nadeau, TFP during a credit crunch, Journal of Economic Theory, 148 (2013), 1150-1178. T. Puu, Attractors, bifurcations, and chaos. Springer-Verlag Berlin, Heidelberg, 2000. S. Rinaldi, S. Muratori and Y.A. Kuznetsov, Multiple attractors, catastrophes and chaos in seasonally perturbed predator-prey communities, Bulletin of Mathematical Biology, 55 (1993), 15-35. J.B. Rosser, From catastrophe to chaos: A general theory of economic discontinuities (2nd ed., vol. 1). Springer Netherlands, Dordrecht, 2000. E. Saez and G. Zucman, Keeping business alive: the government as buyer of last resort, Mimeo, 2020. B. Venturi, G. Casula, M. Desogus and A. Pili, Mathematical tools in economic and financial models. Aracne, Rome, 2020. G. Wehinger, SMEs and the credit crunch: Current financing difficulties, policy measures and a review of literature, OECD Journal: Financial Market Trends, 2013(2) (2014), 115-148. |
URI: | https://mpra.ub.uni-muenchen.de/id/eprint/114349 |