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Network valuation in financial systems

Author

Listed:
  • Paolo Barucca
  • Marco Bardoscia
  • Fabio Caccioli
  • Marco D'Errico
  • Gabriele Visentin
  • Guido Caldarelli
  • Stefano Battiston

Abstract

We introduce a general model for the balance‐sheet consistent valuation of interbank claims within an interconnected financial system. Our model represents an extension of clearing models of interdependent liabilities to account for the presence of uncertainty on banks' external assets. At the same time, it also provides a natural extension of classic structural credit risk models to the case of an interconnected system. We characterize the existence and uniqueness of a valuation that maximizes individual and total equity values for all banks. We apply our model to the assessment of systemic risk and in particular for the case of stress testing. Further, we provide a fixed‐point algorithm to carry out the network valuation and the conditions for its convergence.

Suggested Citation

  • Paolo Barucca & Marco Bardoscia & Fabio Caccioli & Marco D'Errico & Gabriele Visentin & Guido Caldarelli & Stefano Battiston, 2020. "Network valuation in financial systems," Mathematical Finance, Wiley Blackwell, vol. 30(4), pages 1181-1204, October.
    • Handle: RePEc:bla:mathfi:v:30:y:2020:i:4:p:1181-1204
    DOI: 10.1111/mafi.12272
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    5. Spiros Bougheas & Adam Hal Spencer, 2022. "Fire Sales and Ex Ante Valuation of Systemic Risk: A Financial Equilibrium Networks Approach," CESifo Working Paper Series 10111, CESifo.
    6. Alessandro Ferracci & Giulio Cimini, 2021. "Systemic risk in interbank networks: disentangling balance sheets and network effects," Papers 2109.14360, arXiv.org, revised Sep 2022.
    7. Feinstein, Zachary & Hałaj, Grzegorz, 2023. "Interbank asset-liability networks with fire sale management," Journal of Economic Dynamics and Control, Elsevier, vol. 155(C).
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    13. Jean-Baptiste Hasse, 2022. "Systemic risk: a network approach," Empirical Economics, Springer, vol. 63(1), pages 313-344, July.
    14. Marco Bardoscia & Paolo Barucca & Stefano Battiston & Fabio Caccioli & Giulio Cimini & Diego Garlaschelli & Fabio Saracco & Tiziano Squartini & Guido Caldarelli, 2021. "The Physics of Financial Networks," Papers 2103.05623, arXiv.org.
    15. Roncoroni, Alan & Battiston, Stefano & Escobar-Farfán, Luis O.L. & Martinez-Jaramillo, Serafin, 2021. "Climate risk and financial stability in the network of banks and investment funds," Journal of Financial Stability, Elsevier, vol. 54(C).
    16. Gourdel, Régis & Sydow, Matthias, 2022. "Non-banks contagion and the uneven mitigation of climate risk," Working Paper Series 2757, European Central Bank.
    17. 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.
    18. Yan, Guan & Liu, Zhidong, 2023. "Interconnectedness of financial institutions based on pledged shares in China," Finance Research Letters, Elsevier, vol. 57(C).
    19. Zachary Feinstein & Andreas Sojmark, 2020. "Dynamic Default Contagion in Heterogeneous Interbank Systems," Papers 2010.15254, arXiv.org, revised Jul 2021.
    20. Lee, David, 2023. "Default Forecasting and Credit Valuation Adjustment," MPRA Paper 118578, University Library of Munich, Germany.
    21. Aldasoro, Iñaki & Hüser, Anne-Caroline & Kok, Christoffer, 2022. "Contagion accounting in stress-testing," Journal of Economic Dynamics and Control, Elsevier, vol. 137(C).
    22. Donia Aloui & Brahim Gaies & Rafla Hchaichi, 2023. "Exploring environmental degradation spillovers in Sub-Saharan Africa: the energy–financial instability nexus," Economic Change and Restructuring, Springer, vol. 56(3), pages 1699-1724, June.
    23. Zornitsa Todorova, 2020. "Network Risk in the European Sovereign CDS Market," The Review of Finance and Banking, Academia de Studii Economice din Bucuresti, Romania / Facultatea de Finante, Asigurari, Banci si Burse de Valori / Catedra de Finante, vol. 12(2), pages 137-154, December.
    24. Fukker, Gábor & Kok, Christoffer, 2021. "On the optimal control of interbank contagion in the euro area banking system," Working Paper Series 2554, European Central Bank.
    25. Bardoscia, Marco & Ka-Kay Pang, Raymond, 2023. "Ring-fencing in financial networks," Bank of England working papers 1046, Bank of England.

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