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Computing the probability of a financial market failure: a new measure of systemic risk

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  • Robert Jarrow

    (Cornell University)

  • Philip Protter

    (Columbia University)

  • Alejandra Quintos

    (University of Wisconsin-Madison)

Abstract

This paper characterizes the probability of a market failure defined as the default of two or more globally systemically important banks (G-SIBs) in a small interval of time. The default probabilities of the G-SIBs are correlated through the possible existence of a market-wide stress event. The characterization employs a multivariate Cox process across the G-SIBs, which allows us to relate our work to the existing literature on intensity-based models. Various theorems related to market failure probabilities are derived, including the probability of a market failure due to two banks defaulting over the next infinitesimal interval, the probability of a catastrophic market failure, the impact of increasing the number of G-SIBs in an economy, and the impact of changing the initial conditions of the economy’s state variables. We also show that if there are too many G-SIBs, a market failure is inevitable, i.e., the probability of a market failure tends to 1.

Suggested Citation

  • Robert Jarrow & Philip Protter & Alejandra Quintos, 2024. "Computing the probability of a financial market failure: a new measure of systemic risk," Annals of Operations Research, Springer, vol. 336(1), pages 481-503, May.
    • Handle: RePEc:spr:annopr:v:336:y:2024:i:1:d:10.1007_s10479-022-05146-9
    DOI: 10.1007/s10479-022-05146-9
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    References listed on IDEAS

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    1. John Y. Campbell & Jens Hilscher & Jan Szilagyi, 2008. "In Search of Distress Risk," Journal of Finance, American Finance Association, vol. 63(6), pages 2899-2939, December.
    2. Daron Acemoglu & Asuman Ozdaglar & Alireza Tahbaz-Salehi, 2015. "Systemic Risk and Stability in Financial Networks," American Economic Review, American Economic Association, vol. 105(2), pages 564-608, February.
    3. Franklin Allen & Elena Carletti, 2013. "What Is Systemic Risk?," Journal of Money, Credit and Banking, Blackwell Publishing, vol. 45(s1), pages 121-127, August.
    4. Sudheer Chava & Robert A. Jarrow, 2008. "Bankruptcy Prediction with Industry Effects," World Scientific Book Chapters, in: Financial Derivatives Pricing Selected Works of Robert Jarrow, chapter 21, pages 517-549, World Scientific Publishing Co. Pte. Ltd..
    5. Dimitrios Bisias & Mark Flood & Andrew W. Lo & Stavros Valavanis, 2012. "A Survey of Systemic Risk Analytics," Annual Review of Financial Economics, Annual Reviews, vol. 4(1), pages 255-296, October.
    6. Franklin Allen & Elena Carletti, 2013. "What Is Systemic Risk?," Journal of Money, Credit and Banking, Blackwell Publishing, vol. 45, pages 121-127, August.
    7. Philip Protter & Alejandra Quintos, 2021. "Stopping Times Occurring Simultaneously," Papers 2111.09458, arXiv.org, revised Nov 2022.
    8. Robert Engle, 2018. "Systemic Risk 10 Years Later," Annual Review of Financial Economics, Annual Reviews, vol. 10(1), pages 125-152, November.
    9. Sebastian Schich & Oana Toader, 2017. "To Be or Not to Be a G-SIB: Does It Matter?," Journal of Financial Management, Markets and Institutions, Società editrice il Mulino, issue 2, pages 169-192.
    10. Shumway, Tyler, 2001. "Forecasting Bankruptcy More Accurately: A Simple Hazard Model," The Journal of Business, University of Chicago Press, vol. 74(1), pages 101-124, January.
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    Cited by:

    1. Philip Protter & Alejandra Quintos, 2021. "Stopping Times Occurring Simultaneously," Papers 2111.09458, arXiv.org, revised Nov 2022.

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