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Modeling and Mathematical Analysis of Liquidity Risk Contagion in the Banking System

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Listed:
  • Hamza Mourad
  • Said Fahim
  • Adriana Burlea-Schiopoiu
  • Mohamed Lahby
  • Abdelbaki Attioui

Abstract

In recent times, all world banks have been threatened by the liquidity risk problem. This phenomenon represents a devastating financial threat to banks and may lead to irrecoverable consequences in case of negligence or underestimation. In this article, we study a mathematical model that describes the contagion of liquidity risk in the banking system based on the SIR epidemic model simulation. The model consists of three ordinary differential equations illustrating the interaction between banks susceptible or affected by liquidity risk and tending towards bankruptcy. We have demonstrated the bornness and positivity of the solutions, and we have mathematically analyzed this system to demonstrate how to control the banking system’s stability. Numerical simulations have been illustrated by using real data to support the analytical results and prove the effects of different system parameters studied on the contagion of liquidity risk.

Suggested Citation

  • Hamza Mourad & Said Fahim & Adriana Burlea-Schiopoiu & Mohamed Lahby & Abdelbaki Attioui, 2022. "Modeling and Mathematical Analysis of Liquidity Risk Contagion in the Banking System," Journal of Applied Mathematics, John Wiley & Sons, vol. 2022(1).
    • Handle: RePEc:wly:jnljam:v:2022:y:2022:i:1:n:5382153
    DOI: 10.1155/2022/5382153
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    References listed on IDEAS

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    1. Valentina Macchiati & Giuseppe Brandi & Tiziana Di Matteo & Daniela Paolotti & Guido Caldarelli & Giulio Cimini, 2022. "Systemic liquidity contagion in the European interbank market," Journal of Economic Interaction and Coordination, Springer;Society for Economic Science with Heterogeneous Interacting Agents, vol. 17(2), pages 443-474, April.
    2. Hong, Han & Huang, Jing-Zhi & Wu, Deming, 2014. "The information content of Basel III liquidity risk measures," Journal of Financial Stability, Elsevier, vol. 15(C), pages 91-111.
    3. King, Michael R., 2013. "The Basel III Net Stable Funding Ratio and bank net interest margins," Journal of Banking & Finance, Elsevier, vol. 37(11), pages 4144-4156.
    4. Akgül, Esra Karatas & Akgül, Ali & Yavuz, Mehmet, 2021. "New Illustrative Applications of Integral Transforms to Financial Models with Different Fractional Derivatives," Chaos, Solitons & Fractals, Elsevier, vol. 146(C).
    5. Zhang, Xingmin & Fu, Qiang & Lu, Liping & Wang, Qingyu & Zhang, Shuai, 2021. "Bank liquidity creation, network contagion and systemic risk: Evidence from Chinese listed banks," Journal of Financial Stability, Elsevier, vol. 53(C).
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