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Systemic Greeks: Measuring risk in financial networks

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  • Nils Bertschinger
  • Julian Stobbe

Abstract

Since the latest financial crisis, the idea of systemic risk has received considerable interest. In particular, contagion effects arising from cross-holdings between interconnected financial firms have been studied extensively. Drawing inspiration from the field of complex networks, these attempts are largely unaware of models and theories for credit risk of individual firms. Here, we note that recent network valuation models extend the seminal structural risk model of Merton (1974). Furthermore, we formally compute sensitivities to various risk factors -- commonly known as Greeks -- in a network context. In particular, we propose the network $\Delta$ as a quantitative measure of systemic risk and illustrate our findings on some numerical examples.

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  • Nils Bertschinger & Julian Stobbe, 2018. "Systemic Greeks: Measuring risk in financial networks," Papers 1810.11849, arXiv.org.
    • Handle: RePEc:arx:papers:1810.11849
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    References listed on IDEAS

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    1. Gabrielle Demange, 2018. "Contagion in Financial Networks: A Threat Index," Management Science, INFORMS, vol. 64(2), pages 955-970, February.
    2. Zhiguo He & Wei Xiong, 2012. "Rollover Risk and Credit Risk," Journal of Finance, American Finance Association, vol. 67(2), pages 391-430, April.
    3. Viral V. Acharya & Lasse H. Pedersen & Thomas Philippon & Matthew Richardson, 2017. "Measuring Systemic Risk," The Review of Financial Studies, Society for Financial Studies, vol. 30(1), pages 2-47.
    4. Gai, Prasanna & Kapadia, Sujit, 2010. "Contagion in financial networks," Bank of England working papers 383, Bank of England.
    5. Leland, Hayne E, 1994. "Corporate Debt Value, Bond Covenants, and Optimal Capital Structure," Journal of Finance, American Finance Association, vol. 49(4), pages 1213-1252, September.
    6. Paolo Barucca & Marco Bardoscia & Fabio Caccioli & Marco D'Errico & Gabriele Visentin & Guido Caldarelli & Stefano Battiston, 2016. "Network Valuation in Financial Systems," Papers 1606.05164, arXiv.org, revised Jun 2020.
    7. Merton, Robert C, 1974. "On the Pricing of Corporate Debt: The Risk Structure of Interest Rates," Journal of Finance, American Finance Association, vol. 29(2), pages 449-470, May.
    8. Helmut Elsinger, 2009. "Financial Networks, Cross Holdings, and Limited Liability," Working Papers 156, Oesterreichische Nationalbank (Austrian Central Bank).
    9. HALKIN, Hubert, 1974. "Implicit functions and optimization problems without continuous differentiability of the data," LIDAM Reprints CORE 184, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
    10. repec:onb:oenbwp:y::i:156:b:1 is not listed on IDEAS
    11. Upper, Christian, 2011. "Simulation methods to assess the danger of contagion in interbank markets," Journal of Financial Stability, Elsevier, vol. 7(3), pages 111-125, August.
    12. Tom Fischer, 2014. "No-Arbitrage Pricing Under Systemic Risk: Accounting For Cross-Ownership," Mathematical Finance, Wiley Blackwell, vol. 24(1), pages 97-124, January.
    13. Zachary Feinstein & Weijie Pang & Birgit Rudloff & Eric Schaanning & Stephan Sturm & Mackenzie Wildman, 2017. "Sensitivity of the Eisenberg-Noe clearing vector to individual interbank liabilities," Working Paper 2017/13, Norges Bank.
    14. Johannes Hain & Tom Fischer, 2015. "Valuation Algorithms for Structural Models of Financial Interconnectedness," Papers 1501.07402, arXiv.org.
    15. Larry Eisenberg & Thomas H. Noe, 2001. "Systemic Risk in Financial Systems," Management Science, INFORMS, vol. 47(2), pages 236-249, February.
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    Cited by:

    1. V. Sasidevan & Nils Bertschinger, 2019. "Systemic Risk: Fire-Walling Financial Systems Using Network-Based Approaches," Papers 1912.05273, arXiv.org.

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