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Stability analysis of financial contagion due to overlapping portfolios

Author

Listed:
  • Fabio Caccioli
  • Munik Shrestha
  • Cristopher Moore
  • J. Doyne Farmer

Abstract

Common asset holdings are widely believed to have been the primary vector of contagion in the recent financial crisis. We develop a network approach to the amplification of financial contagion due to the combination of overlapping portfolios and leverage, and we show how it can be understood in terms of a generalized branching process. By studying a stylized model we estimate the circumstances under which systemic instabilities are likely to occur as a function of parameters such as leverage, market crowding, diversification, and market impact. Although diversification may be good for individual institutions, it can create dangerous systemic effects, and as a result financial contagion gets worse with too much diversification. Under our model there is a critical threshold for leverage; below it financial networks are always stable, and above it the unstable region grows as leverage increases. The financial system exhibits "robust yet fragile" behavior, with regions of the parameter space where contagion is rare but catastrophic whenever it occurs. Our model and methods of analysis can be calibrated to real data and provide simple yet powerful tools for macroprudential stress testing.

Suggested Citation

  • Fabio Caccioli & Munik Shrestha & Cristopher Moore & J. Doyne Farmer, 2012. "Stability analysis of financial contagion due to overlapping portfolios," Papers 1210.5987, arXiv.org.
  • Handle: RePEc:arx:papers:1210.5987
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    File URL: http://arxiv.org/pdf/1210.5987
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    References listed on IDEAS

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    1. Arinaminpathy, Nimalan & Kapadia, Sujit & May, Robert, 2012. "Size and complexity in model financial systems," Bank of England working papers 465, Bank of England.
    2. Gai, Prasanna & Kapadia, Sujit, 2010. "Contagion in financial networks," Bank of England working papers 383, Bank of England.
    3. Co-Pierre Georg, 2010. "The effect of the interbank network structure on contagion and financial stability," Global Financial Markets Working Paper Series 12-2010, Friedrich-Schiller-University Jena.
    4. Allen, Franklin & Babus, Ana & Carletti, Elena, 2012. "Asset commonality, debt maturity and systemic risk," Journal of Financial Economics, Elsevier, vol. 104(3), pages 519-534.
    5. Nier, Erlend & Yang, Jing & Yorulmazer, Tanju & Alentorn, Amadeo, 2007. "Network models and financial stability," Journal of Economic Dynamics and Control, Elsevier, vol. 31(6), pages 2033-2060, June.
    6. Hens, Thorsten & Schenk-Hoppe, Klaus Reiner (ed.), 2009. "Handbook of Financial Markets: Dynamics and Evolution," Elsevier Monographs, Elsevier, edition 1, number 9780123742582.
    7. Gai, Prasanna & Haldane, Andrew & Kapadia, Sujit, 2011. "Complexity, concentration and contagion," Journal of Monetary Economics, Elsevier, vol. 58(5), pages 453-470.
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    Citations

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    Cited by:

    1. Schmitt, Noemi & Westerhoff, Frank, 2014. "Speculative behavior and the dynamics of interacting stock markets," Journal of Economic Dynamics and Control, Elsevier, vol. 45(C), pages 262-288.
    2. Oliver Kley & Claudia Kluppelberg, 2015. "Bounds for randomly shared risk of heavy-tailed loss factors," Papers 1503.03726, arXiv.org, revised Apr 2016.
    3. Teruyoshi Kobayashi & Kohei Hasui, 2013. "Efficient immunization strategies to prevent financial contagion," Papers 1308.0652, arXiv.org, revised Dec 2013.
    4. Charles D. Brummitt & Rajiv Sethi & Duncan J. Watts, 2014. "Inside Money, Procyclical Leverage, and Banking Catastrophes," Papers 1403.1637, arXiv.org.
    5. Glasserman, Paul & Young, H. Peyton, 2015. "How likely is contagion in financial networks?," Journal of Banking & Finance, Elsevier, vol. 50(C), pages 383-399.
    6. Levy-Carciente, Sary & Kenett, Dror Y. & Avakian, Adam & Stanley, H. Eugene & Havlin, Shlomo, 2015. "Dynamical macroprudential stress testing using network theory," Journal of Banking & Finance, Elsevier, vol. 59(C), pages 164-181.
    7. Pierre Paga & Reimer Kuhn, 2014. "Contagion in an interacting economy," Papers 1409.2625, arXiv.org, revised Mar 2015.
    8. Raffestin, Louis, 2014. "Diversification and systemic risk," Journal of Banking & Finance, Elsevier, vol. 46(C), pages 85-106.
    9. Oliver Kley & Claudia Kluppelberg & Gesine Reinert, 2014. "Risk in a large claims insurance market with bipartite graph structure," Papers 1410.8671, arXiv.org, revised Nov 2015.
    10. Henry, Jérôme & Kok, Christoffer & Amzallag, Adrien & Baudino, Patrizia & Cabral, Inês & Grodzicki, Maciej & Gross, Marco & Halaj, Grzegorz & Kolb, Markus & Leber, Miha & Pancaro, Cosimo & Sydow, Matt, 2013. "A macro stress testing framework for assessing systemic risks in the banking sector," Occasional Paper Series 152, European Central Bank.

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