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A nonlinear dynamic model for credit risk contagion

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  • Fanelli, Viviana
  • Maddalena, Lucia

Abstract

We consider the credit risk transfer market, where several financial agents interact with each other and generate complex nonlinear relations. All these market participants are defaultable and when one of them defaults, the credit risk contagion can be described by a nonlinear dynamic problem. We propose a particular time delay Susceptible–Infected–Recovered model to investigate and describe the credit risk contagion in the market. The time delay represents the temporary immunity time lag before a bank becomes defaultable. We analytically study the model and find the steady states according to different values of time delay and different bank support policies.

Suggested Citation

  • Fanelli, Viviana & Maddalena, Lucia, 2020. "A nonlinear dynamic model for credit risk contagion," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 174(C), pages 45-58.
  • Handle: RePEc:eee:matcom:v:174:y:2020:i:c:p:45-58
    DOI: 10.1016/j.matcom.2020.02.010
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    1. Rama Cont & Andreea Minca, 2016. "Credit default swaps and systemic risk," Annals of Operations Research, Springer, vol. 247(2), pages 523-547, December.
    2. Takada, Hideyuki & Sumita, Ushio, 2011. "Credit risk model with contagious default dependencies affected by macro-economic condition," European Journal of Operational Research, Elsevier, vol. 214(2), pages 365-379, October.
    3. Yuhong Wang & Shulin Yang & Wuyong Qian & Xiaozhong Li, 2013. "Forecasting New Product Diffusion Using Grey Time-Delayed Verhulst Model," Journal of Applied Mathematics, Hindawi, vol. 2013, pages 1-6, December.
    4. Tingqiang Chen & Xindan Li & Jining Wang, 2015. "Spatial Interaction Model of Credit Risk Contagion in the CRT Market," Computational Economics, Springer;Society for Computational Economics, vol. 46(4), pages 519-537, December.
    5. Chiesa, Gabriella, 2008. "Optimal credit risk transfer, monitored finance, and banks," Journal of Financial Intermediation, Elsevier, vol. 17(4), pages 464-477, October.
    6. Barro, Diana & Basso, Antonella, 2010. "Credit contagion in a network of firms with spatial interaction," European Journal of Operational Research, Elsevier, vol. 205(2), pages 459-468, September.
    7. Cerqueti, Roy & Costantini, Mauro, 2011. "Testing for rational bubbles in the presence of structural breaks: Evidence from nonstationary panels," Journal of Banking & Finance, Elsevier, vol. 35(10), pages 2598-2605, October.
    8. Bedendo, Mascia & Bruno, Brunella, 2012. "Credit risk transfer in U.S. commercial banks: What changed during the 2007–2009 crisis?," Journal of Banking & Finance, Elsevier, vol. 36(12), pages 3260-3273.
    9. Cerqueti, Roy & Fenga, Livio & Ventura, Marco, 2018. "Does the U.S. exercise contagion on Italy? A theoretical model and empirical evidence," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 499(C), pages 436-442.
    10. Didier Cossin & Henry Schellhorn, 2007. "Credit Risk in a Network Economy," Management Science, INFORMS, vol. 53(10), pages 1604-1617, October.
    11. Allen, Franklin & Carletti, Elena, 2006. "Credit risk transfer and contagion," Journal of Monetary Economics, Elsevier, vol. 53(1), pages 89-111, January.
    12. Martínez-Jaramillo, Serafín & Pérez, Omar Pérez & Embriz, Fernando Avila & Dey, Fabrizio López Gallo, 2010. "Systemic risk, financial contagion and financial fragility," Journal of Economic Dynamics and Control, Elsevier, vol. 34(11), pages 2358-2374, November.
    13. repec:acb:camaaa:2007-28 is not listed on IDEAS
    14. Miao, Jianjun & Wang, Pengfei, 2015. "Banking bubbles and financial crises," Journal of Economic Theory, Elsevier, vol. 157(C), pages 763-792.
    15. Tingqiang Chen & Ying Chen & Xindan Li & Jining Wang, 2015. "An Entropy Model of Credit Risk Contagion in the CRT Market," Discrete Dynamics in Nature and Society, Hindawi, vol. 2015, pages 1-8, April.
    16. Colapinto, Cinzia & Sartori, Elena & Tolotti, Marco, 2014. "Awareness, persuasion, and adoption: Enriching the Bass model," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 395(C), pages 1-10.
    17. Boschi, Melisso & Goenka, Aditya, 2012. "Relative risk aversion and the transmission of financial crises," Journal of Economic Dynamics and Control, Elsevier, vol. 36(1), pages 85-99.
    18. Tingqiang Chen & Jianmin He & Qunyao Yin, 2013. "Dynamics Evolution of Credit Risk Contagion in the CRT Market," Discrete Dynamics in Nature and Society, Hindawi, vol. 2013, pages 1-9, February.
    19. Bernard Herskovic, 2018. "Networks in Production: Asset Pricing Implications," Journal of Finance, American Finance Association, vol. 73(4), pages 1785-1818, August.
    20. Jayech, Selma, 2016. "The contagion channels of July–August-2011 stock market crash: A DAG-copula based approach," European Journal of Operational Research, Elsevier, vol. 249(2), pages 631-646.
    21. Roy Cerqueti & Gian Paolo Clemente & Rosanna Grassi, 2018. "Systemic risk assessment through high order clustering coefficient," Papers 1810.13250, arXiv.org, revised Jul 2020.
    22. Ting-Qiang Chen & Jian-Min He, 2012. "A Network Model of Credit Risk Contagion," Discrete Dynamics in Nature and Society, Hindawi, vol. 2012, pages 1-13, December.
    23. repec:zbw:bofrdp:2013_019 is not listed on IDEAS
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    7. Kaslik, Eva & Neamţu, Mihaela & Vesa, Loredana Flavia, 2021. "Global stability analysis of an unemployment model with distributed delay," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 185(C), pages 535-546.

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