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Insurance risk analysis of financial networks vulnerable to a shock

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  • Tang, Qihe
  • Tong, Zhiwei
  • Xun, Li

Abstract

We conduct a risk analysis of non-core insurance business of selling protection to financial firms against investment losses due to a shock. A static structural model is constructed, composed of a network of firms who cross-hold each other, a financial market consisting of multiple primitive assets that are vulnerable to a shock, and an insurer who resides external to the network and assesses the opportunity to sell protection to the financial firms. Assume that each firm in the network is rational and able to decide how much protection to purchase to optimize its portfolio according to the mean-variance principle. As a result, the shock may impact on the insurer but indirectly through the network. In view of the robust-yet-fragile nature of financial networks that has been discovered, both empirically and theoretically, by various recent works, one expects that the network integration and the shock play an intertwined role in the insurance risk. Our study forms a theoretical confirmation of this surmise: Depending on the shock size, there are three mutually exclusive scenarios in which an increase in the network integration can either reduce or amplify the impact of the shock on the insurance risk.

Suggested Citation

  • Tang, Qihe & Tong, Zhiwei & Xun, Li, 2022. "Insurance risk analysis of financial networks vulnerable to a shock," European Journal of Operational Research, Elsevier, vol. 301(2), pages 756-771.
    • Handle: RePEc:eee:ejores:v:301:y:2022:i:2:p:756-771
    DOI: 10.1016/j.ejor.2021.11.017
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    as
    1. Kley, Oliver & Klüppelberg, Claudia & Paterlini, Sandra, 2020. "Modelling extremal dependence for operational risk by a bipartite graph," Journal of Banking & Finance, Elsevier, vol. 117(C).
    2. Gai, Prasanna & Kapadia, Sujit, 2010. "Contagion in financial networks," Bank of England working papers 383, Bank of England.
    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. Billio, Monica & Getmansky, Mila & Lo, Andrew W. & Pelizzon, Loriana, 2012. "Econometric measures of connectedness and systemic risk in the finance and insurance sectors," Journal of Financial Economics, Elsevier, vol. 104(3), pages 535-559.
    5. Franklin Allen & Douglas Gale, 2000. "Financial Contagion," Journal of Political Economy, University of Chicago Press, vol. 108(1), pages 1-33, February.
    6. Matthew Elliott & Benjamin Golub & Matthew O. Jackson, 2014. "Financial Networks and Contagion," American Economic Review, American Economic Association, vol. 104(10), pages 3115-3153, October.
    7. Battiston, Stefano & Delli Gatti, Domenico & Gallegati, Mauro & Greenwald, Bruce & Stiglitz, Joseph E., 2012. "Liaisons dangereuses: Increasing connectivity, risk sharing, and systemic risk," Journal of Economic Dynamics and Control, Elsevier, vol. 36(8), pages 1121-1141.
    8. J. David Cummins & Mary A. Weiss, 2014. "Systemic Risk and The U.S. Insurance Sector," Journal of Risk & Insurance, The American Risk and Insurance Association, vol. 81(3), pages 489-528, September.
    9. Nina Boyarchenko & Anna M. Costello & Or Shachar, 2020. "The Long and Short of It: The Post-Crisis Corporate CDS Market," Economic Policy Review, Federal Reserve Bank of New York, vol. 26(3), pages 1-49, June.
    10. Bernal, Oscar & Gnabo, Jean-Yves & Guilmin, Grégory, 2014. "Assessing the contribution of banks, insurance and other financial services to systemic risk," Journal of Banking & Finance, Elsevier, vol. 47(C), pages 270-287.
    11. Paul Glasserman & Peyton Young, 2015. "Contagion in Financial Networks," Economics Series Working Papers 764, University of Oxford, Department of Economics.
    12. Dan Ladley, 2010. "Contagion and risk-sharing on the inter-bank market," Discussion Papers in Economics 11/10, Division of Economics, School of Business, University of Leicester, revised Jan 2013.
    13. Harry Markowitz, 1952. "Portfolio Selection," Journal of Finance, American Finance Association, vol. 7(1), pages 77-91, March.
    14. Scott E. Harrington, 2009. "The Financial Crisis, Systemic Risk, and the Future of Insurance Regulation," Journal of Risk & Insurance, The American Risk and Insurance Association, vol. 76(4), pages 785-819, December.
    15. 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.
    16. Glasserman, Paul & Young, H. Peyton, 2016. "Contagion in financial networks," LSE Research Online Documents on Economics 68681, London School of Economics and Political Science, LSE Library.
    17. Markowitz, Harry, 2014. "Mean–variance approximations to expected utility," European Journal of Operational Research, Elsevier, vol. 234(2), pages 346-355.
    18. Sojung Carol Park & Xiaoying Xie, 2014. "Reinsurance and Systemic Risk: The Impact of Reinsurer Downgrading on Property–Casualty Insurers," Journal of Risk & Insurance, The American Risk and Insurance Association, vol. 81(3), pages 587-622, September.
    19. Ladley, Daniel, 2013. "Contagion and risk-sharing on the inter-bank market," Journal of Economic Dynamics and Control, Elsevier, vol. 37(7), pages 1384-1400.
    20. Simaan, Majeed & Gupta, Aparna & Kar, Koushik, 2020. "Filtering for risk assessment of interbank network," European Journal of Operational Research, Elsevier, vol. 280(1), pages 279-294.
    21. Bonaccolto, Giovanni & Caporin, Massimiliano & Maillet, Bertrand B., 2022. "Dynamic large financial networks via conditional expected shortfalls," European Journal of Operational Research, Elsevier, vol. 298(1), pages 322-336.
    22. Hua Chen & J. David Cummins & Tao Sun & Mary A. Weiss, 2020. "The Reinsurance Network Among U.S. Property–Casualty Insurers: Microstructure, Insolvency Risk, and Contagion," Journal of Risk & Insurance, The American Risk and Insurance Association, vol. 87(2), pages 253-284, June.
    23. Agostino Capponi & Peng-Chu Chen & David D. Yao, 2016. "Liability Concentration and Systemic Losses in Financial Networks," Operations Research, INFORMS, vol. 64(5), pages 1121-1134, October.
    24. Gupta, Aparna & Wang, Runzu & Lu, Yueliang, 2021. "Addressing systemic risk using contingent convertible debt – A network analysis," European Journal of Operational Research, Elsevier, vol. 290(1), pages 263-277.
    25. Christoph Kaserer & Christian Klein, 2019. "Systemic Risk in Financial Markets: How Systemically Important Are Insurers?," Journal of Risk & Insurance, The American Risk and Insurance Association, vol. 86(3), pages 729-759, September.
    26. Glasserman, Paul & Young, H. Peyton, 2015. "How likely is contagion in financial networks?," Journal of Banking & Finance, Elsevier, vol. 50(C), pages 383-399.
    27. Larry Eisenberg & Thomas H. Noe, 2001. "Systemic Risk in Financial Systems," Management Science, INFORMS, vol. 47(2), pages 236-249, February.
    28. Gai, Prasanna & Haldane, Andrew & Kapadia, Sujit, 2011. "Complexity, concentration and contagion," Journal of Monetary Economics, Elsevier, vol. 58(5), pages 453-470.
    29. Hamed Amini & Damir Filipović & Andreea Minca, 2016. "To Fully Net or Not to Net: Adverse Effects of Partial Multilateral Netting," Operations Research, INFORMS, vol. 64(5), pages 1135-1142, October.
    30. Oliver Kley & Claudia Klüppelberg & Gesine Reinert, 2016. "Risk in a Large Claims Insurance Market with Bipartite Graph Structure," Operations Research, INFORMS, vol. 64(5), pages 1159-1176, October.
    31. Tang, Qihe & Tang, Zhaofeng & Yang, Yang, 2019. "Sharp asymptotics for large portfolio losses under extreme risks," European Journal of Operational Research, Elsevier, vol. 276(2), pages 710-722.
    32. 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.
    33. Yijia Lin & Jifeng Yu & Manferd O. Peterson, 2015. "Reinsurance Networks and Their Impact on Reinsurance Decisions: Theory and Empirical Evidence," Journal of Risk & Insurance, The American Risk and Insurance Association, vol. 82(3), pages 531-569, September.
    34. Paul Glasserman & H. Peyton Young, 2016. "Contagion in Financial Networks," Journal of Economic Literature, American Economic Association, vol. 54(3), pages 779-831, September.
    35. Ariah Klages-Mundt & Andreea Minca, 2020. "Cascading Losses in Reinsurance Networks," Management Science, INFORMS, vol. 66(9), pages 4246-4268, September.
    36. Achal Bassamboo & Sandeep Juneja & Assaf Zeevi, 2008. "Portfolio Credit Risk with Extremal Dependence: Asymptotic Analysis and Efficient Simulation," Operations Research, INFORMS, vol. 56(3), pages 593-606, June.
    37. Jeffery D Amato & Jacob Gyntelberg, 2005. "CDS index tranches and the pricing of credit risk correlations," BIS Quarterly Review, Bank for International Settlements, March.
    38. Ariah Klages-Mundt & Andreea Minca, 2018. "Cascading Losses in Reinsurance Networks," Papers 1805.12222, arXiv.org, revised Mar 2020.
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