IDEAS home Printed from https://ideas.repec.org/p/arx/papers/1810.11849.html
   My bibliography  Save this paper

Systemic Greeks: Measuring risk in financial networks

Author

Listed:
  • 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.

Suggested Citation

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

    Download full text from publisher

    File URL: http://arxiv.org/pdf/1810.11849
    File Function: Latest version
    Download Restriction: no
    ---><---

    References listed on IDEAS

    as
    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.
    Full references (including those not matched with items on IDEAS)

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    Cited by:

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

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Nils Bertschinger & Axel A. Araneda, 2021. "Cross-ownership as a structural explanation for rising correlations in crisis times," Papers 2112.04824, arXiv.org.
    2. V. Sasidevan & Nils Bertschinger, 2019. "Systemic Risk: Fire-Walling Financial Systems Using Network-Based Approaches," Papers 1912.05273, arXiv.org.
    3. Bardoscia, Marco & Barucca, Paolo & Codd, Adam Brinley & Hill, John, 2019. "Forward-looking solvency contagion," Journal of Economic Dynamics and Control, Elsevier, vol. 108(C).
    4. Christoph Siebenbrunner, 2017. "Clearing algorithms and network centrality," Papers 1706.00284, arXiv.org.
    5. Tathagata Banerjee & Zachary Feinstein, 2018. "Impact of Contingent Payments on Systemic Risk in Financial Networks," Papers 1805.08544, arXiv.org, revised Dec 2018.
    6. Covi, Giovanni & Gorpe, Mehmet Ziya & Kok, Christoffer, 2021. "CoMap: Mapping Contagion in the Euro Area Banking Sector," Journal of Financial Stability, Elsevier, vol. 53(C).
    7. Bardoscia, Marco & Ka-Kay Pang, Raymond, 2023. "Ring-fencing in financial networks," Bank of England working papers 1046, Bank of England.
    8. 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.
    9. Jose Fique, 2017. "Retrieving Implied Financial Networks from Bank Balance-Sheet and Market Data," Staff Working Papers 17-30, Bank of Canada.
    10. Christoph Siebenbrunner, 2021. "Quantifying the importance of different contagion channels as sources of systemic risk," Journal of Economic Interaction and Coordination, Springer;Society for Economic Science with Heterogeneous Interacting Agents, vol. 16(1), pages 103-131, January.
    11. Gabriele Visentin & Stefano Battiston & Marco D'Errico, 2016. "Rethinking Financial Contagion," Papers 1608.07831, arXiv.org.
    12. Tathagata Banerjee & Zachary Feinstein, 2018. "Pricing of debt and equity in a financial network with comonotonic endowments," Papers 1810.01372, arXiv.org, revised Sep 2021.
    13. Zachary Feinstein & Andreas Sojmark, 2019. "A Dynamic Default Contagion Model: From Eisenberg-Noe to the Mean Field," Papers 1912.08695, arXiv.org.
    14. Glasserman, Paul & Young, H. Peyton, 2015. "How likely is contagion in financial networks?," Journal of Banking & Finance, Elsevier, vol. 50(C), pages 383-399.
    15. Alessandro Ferracci & Giulio Cimini, 2021. "Systemic risk in interbank networks: disentangling balance sheets and network effects," Papers 2109.14360, arXiv.org, revised Sep 2022.
    16. Gabrielle Demange, 2018. "Contagion in Financial Networks: A Threat Index," Management Science, INFORMS, vol. 64(2), pages 955-970, February.
    17. Aldasoro, Iñaki & Hüser, Anne-Caroline & Kok, Christoffer, 2022. "Contagion accounting in stress-testing," Journal of Economic Dynamics and Control, Elsevier, vol. 137(C).
    18. Fabio Caccioli & Paolo Barucca & Teruyoshi Kobayashi, 2018. "Network models of financial systemic risk: a review," Journal of Computational Social Science, Springer, vol. 1(1), pages 81-114, January.
    19. Spiros Bougheas & Adam Hal Spencer, 2022. "Fire sales and ex ante valuation of systemic risk: A financial equilibrium networks approach," Discussion Papers 2022/04, University of Nottingham, Centre for Finance, Credit and Macroeconomics (CFCM).
    20. Kreis, Yvonne & Leisen, Dietmar P.J., 2018. "Systemic risk in a structural model of bank default linkages," Journal of Financial Stability, Elsevier, vol. 39(C), pages 221-236.

    More about this item

    NEP fields

    This paper has been announced in the following NEP Reports:

    Statistics

    Access and download statistics

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:arx:papers:1810.11849. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: arXiv administrators (email available below). General contact details of provider: http://arxiv.org/ .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.