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Complex Financial Networks and Systemic Risk: A Review

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Part of the book series: Dynamic Modeling and Econometrics in Economics and Finance ((DMEF,volume 19))

Abstract

In this paper we review recent advances in financial economics in relation to the measurement of systemic risk. We start by reviewing studies that apply traditional measures of risk to financial institutions. However, the main focus of the review is on studies that use network analysis paying special attention to those that apply complex analysis techniques. Applications of these techniques for the analysis and pricing of systemic risk has already provided significant benefits at least at the conceptual level but it also looks very promising from a practical point of view.

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Notes

  1. 1.

    See Brunnermeier and Oehmke (2012) for a review of this literature.

  2. 2.

    For an interesting exposition of the geographic distribution of bank failures during the recent global financial crisis see Aubuchon and Wheelock (2010).

  3. 3.

    For expositions of network theory and its applications to economics see Goyal (2009), Jackson (2008) and Vega-Redondo (2007).

  4. 4.

    See Allen and Babus (2009) for a review of various applications of network theory to the study of financial issues.

  5. 5.

    See, for example, Haldane and May (2011), May et al. (2008). For a similar perspective on the benefits of network analysis, see also Schweitzer et al. (2009).

  6. 6.

    There is an established literature, known as econophysics, that has used complex systems to analyze various economic systems including the behavior of asset prices (for a review see Varela et al. 2015, this volume).

  7. 7.

    For a review of systemic risk measures applied to general financial systems see Markellof et al. (2012). See also European Central Bank (2007) for some theoretical and empirical contributions related to the measurement of systemic risk in banking and non-banking financial systems.

  8. 8.

    A put option is a derivative that offers the right, but not the obligation, to the holder to sell the underlying asset at a pre-specified price within a given period.

  9. 9.

    For an example of CCA see Lehar (2005) who applies the methodology to a sample of international banks from 1988 until 2002.

  10. 10.

    A CDS is a financial swap agreement whereby the seller of the contract will compensate the buyer in the event of a loan default. The buyer of the CDS makes a series of payments to the seller but only receives a payoff if the loan defaults.

  11. 11.

    The second indicator, known as Tail-β, has been also applied to the European banking system by De Jonghe (2010).

  12. 12.

    Applications of this methodology include Wong and Fong (2010) who provide CoVaR estimates for the CDS of Asia-Pacific Banks and Gauthier et al. (2009) who give systemic risk estimates for the Canadian banking system.

  13. 13.

    For a more thorough exposition of network theory see Varela et al. (2015) in this volume.

  14. 14.

    Other researchers use complex analysis for understanding interfirm financial (trade-credit chains) networks; see Battiston et al. (2007), Cossin and Schellhorn (2007), Kiyotaki and Moore (2004) and Lagunoff and Schreft (2001).

  15. 15.

    The two-bank version of the Diamond and Dybvig (1983) is analyzed by Bhattacharya and Gale (1987), however, a minimum of three banks are needed for comparisons of network structures to become meaningful.

  16. 16.

    Random networks correspond to the classical random graphs structures introduced by Erdös and Rényi (1959).

  17. 17.

    For traditional finance models addressing these issues, see Acharya et al. (2011) and Diamond and Rajan (2011).

  18. 18.

    Extreme conditions within a financial network should be understood as a systemic event, like the recent global financial crisis.

  19. 19.

    See Castiliognesi and Navarro (2007) for a similar result.

  20. 20.

    For a detailed description of the methodology used to perform these simulations see Soramäki et al. (2007a,b). There are some similarities between some of these simulation exercises and the counterfactual methodology reviewed above.

  21. 21.

    For more on this distinction, see Saunders et al. (2009).

  22. 22.

    When cross-border risk exposures are significant, as, for example, during the recent global financial crisis, it is also important to ensure there is international coordination among financial regulators; see Acharya et al. (2009b).

  23. 23.

    Data limitations are a serious constraining factor both for researchers that aim to measure systemic risk and practioners who are interested in controlling it; see Cerutti et al. (2012).

References

  • Acemoglu, D., Ozdaglar, A., & Tahbaz-Salehi, A. (2013). Systemic risk and stability in financial networks. NBER Working Paper 18727.

    Google Scholar 

  • Acharya, V., Gale, D., & Yorulmazer, T. (2011). Rollover risk and market freezes. Journal of Finance, 66, 1175–1207.

    Google Scholar 

  • Acharya, V., Pedersen, L., Philippon, T., & Richardson, M. (2009a). Regulating systemic risk. In V. Acharya, & M. Richardson (Eds.), Restoring financial stability (pp. 283–303). New Jersey: Wiley.

    Chapter  Google Scholar 

  • Acharya, V., Pedersen, L., Philippon, T., & Richardson, M. (2010). Measuring systemic risk. Unpublished Paper, New York University.

    Google Scholar 

  • Acharya, V., Wachtel, P., & Walter, I. (2009b). International alignment of financial sector regulation. In V. Acharya & M. Richardson (Eds.), Restoring financial stability (pp. 365–376). New Jersey: Wiley.

    Chapter  Google Scholar 

  • Adams, M., Galbiati, M., & Giansante, S. (2010). Liquidity costs and tiering in large-value payment systems. Bank of England Working Paper 399

    Google Scholar 

  • Adrian, T., & Brunnermeier, M. (2011). CoVaR. NBER Working Paper 17454

    Google Scholar 

  • Allen, F., & Babus, A. (2009). Networks in finance. In P. Kleindorfer, Y. Wind, & R. Gunther (Eds.), The network challenge: Strategy, profit, and risk in an interconnected world (pp.367–382). New Jersey: Pearson Education.

    Google Scholar 

  • Allen, F., & Babus, A. (2010). Financial connections and systemic risk. NBER Working Paper 16177.

    Google Scholar 

  • Allen, F., & Gale, D. (1998). Optimal financial crises. Journal of Finance, 53, 1245–1284.

    Article  Google Scholar 

  • Allen, F., & Gale, D. (2000). Financial contagion. Journal of Political Economy, 108, 1–33.

    Article  Google Scholar 

  • Amundsen, E., & Arnt, H. (2005). Contagion risk in the Danish interbank market. Danmark Nationalbank Working Paper 2005-25

    Google Scholar 

  • Anand, K., Gai, P., & Marsili, M. (2012). Rollover risk, network structure and systemic financial crises. Journal of Economic Dynamics and Control, 36, 1088–1100.

    Article  Google Scholar 

  • Anand, K., Kirman, A., & Marsili, M. (2011). Epidemics of rules, information aggregation failure and market crashes. European Journal of Finance. doi:10.1080/1351847X.2011.601872.

    Google Scholar 

  • Angelini, P., Maresca, G., & Russo, D. (1996). Systemic risk in the netting system. Journal of Banking and Finance, 20, 853–868.

    Article  Google Scholar 

  • Aubuchon, C., & Wheelock, D. (2010). The geographic distribution and characteristics of U.S. bank failures, 2007–2010: Do bank failures still reflect local economic conditions? Federal Reserve Bank of St. Louis Review, 92, 395–415.

    Google Scholar 

  • Babus, A. (2007). The formation of financial networks. Tinbergen Institute Discussion Paper 06-093

    Google Scholar 

  • Battiston, S., Delli Gatti, D., Gallegati, M., Greenwald, B., & Stiglitz, J. (2007). Credit chains and bankruptcy propagation in production networks. Journal of Economic Dynamics and Control, 31, 2061–2084.

    Article  Google Scholar 

  • Battiston, S., Puliga, M., Kaushik, R., Tasca, P., & Caldarelli, G. (2012). DebtRank: Too central to fail? Financial networks, the FED and systemic risk. Scientific Reports, 2, 541. doi:10.1038/srep00541.

    Article  Google Scholar 

  • Bech, M., & Atalay, E. (2010). The topology of the federal funds market. Physica A, 389, 5223–5246.

    Article  Google Scholar 

  • Becher, C., Millard, S., & Somaräki, K. (2008). The network topology of CHAPS Sterling. Bank of England Working Paper 355

    Google Scholar 

  • Bhattacharya, S., & Gale, D. (1987). Preference shocks, liquidity and central bank policy. In W. Barnett, & K. Singleton (Eds.), New approaches to monetary economics (pp. 69–88). Cambridge: Cambridge University Press.

    Chapter  Google Scholar 

  • Billio, M., Getmansky, M., Lo, A., & Pelizzon, L. (2012). Econometric measures of connectedness and systemic risk in the finance and insurance sectors. Journal of Financial Economics, 104, 535–559.

    Article  Google Scholar 

  • Bitzer, D., & DeMarzo, P. (1992). Sequential banking. Journal of Political Economy, 100, 41–61.

    Article  Google Scholar 

  • Blavarg, M., & Nimander, P. (2002). Inter-bank exposures and systemic risk. Sveriges Riksbank Economic Review, 2, 19–45.

    Google Scholar 

  • Boss, M., Elsinger, H., Summer, M., & Thurner, S. (2004). The network topology of the interbank market. Quantitative Finance, 4, 677–684.

    Article  Google Scholar 

  • Brunnermeier, M., & Oehmke, M. (2012). Bubbles, financial crises, and systemic risk. Princeton University Research Paper 47-2012.

    Google Scholar 

  • Brunnermeier, M., & Pedersen, L. (2009). Market liquidity and funding liquidity. Review of Financial Studies, 22, 2201–2238.

    Article  Google Scholar 

  • Caballero, R., & Simsek, A. (2009). Complexity and financial panics. NBER Working Paper 14997.

    Google Scholar 

  • Castiliognesi, F., & Navarro, N. (2007). Optimal fragile financial networks. Tilburg University Discussion Paper 2007-100.

    Google Scholar 

  • Castrén, O., & Kavonius, I. (2009). Balance sheet interlinkages and macro-financial risk analysis of the euro area. ECB Working Paper 1124.

    Google Scholar 

  • Castrén, O., & Rancan, M. (2013). Macro-networks: An application to the euro area financial accounts. ECB Working Paper 1510.

    Google Scholar 

  • Cerutti, E., Claessens, S., & McGuire, P. (2012). Systemic risks in global banking: What available data can tell us and what more data are needed? NBER Working Paper 18531.

    Book  Google Scholar 

  • Cifuentes, R., Ferrucci, G., & Shin, H. (2005). Liquidity risk and contagion. Journal of the European Economic Association, 3, 556–566.

    Article  Google Scholar 

  • Čopič, J., Jackson, M., & Kirman, A. (2009). Identifying community structures from network data via maximum likelihood methods. B.E. Journal of Theoretical Economics (BEP), 9(1), Article 30.

    Google Scholar 

  • Cossin, D., & Schellhorn, H. (2007). Credit risk in a network economy. Management Science, 53, 1604–1617.

    Article  Google Scholar 

  • Da Cruz, J., & Lind, P. (2012). The dynamics of financial stability in complex networks. European Physical Journal B, 85, 256.

    Article  Google Scholar 

  • De Jonghe, O. (2010). Back to the basics in banking? A micro-analysis of banking system stability. Journal of Financial Intermediation, 19, 387–417.

    Article  Google Scholar 

  • Degryse, H., & Nguyen, G. (2007). Interbank exposures: An empirical examination of systemic risk in the Belgian banking system. Journal of International Central Banking, 3, 123–171.

    Google Scholar 

  • Degryse, H., Elahi, M., & Penas, M. (2009). Cross-border exposures and financial contagion. European Banking Center Discussion Paper 2009-02.

    Google Scholar 

  • Diamond, D., & Dybvig, P. (1983). Bank runs, deposit insurance and liquidity. Journal of Political Economy, 91, 401–419.

    Article  Google Scholar 

  • Diamond, D., & Rajan, R. (2011). Fear of fire sales, illiquidity seeking, and credit freezes. Quarterly Journal of Economics, 126, 557–591.

    Article  Google Scholar 

  • Eisenberg, L., & Noe, T. (2001). Systemic risk in financial systems. Management Science, 47, 236–249.

    Article  Google Scholar 

  • Elliott, M., Golub, B., & Jackson, M. (2013). Financial networks and contagion. Available at SSRN http://ssrn.com/abstract=2175056.

  • Elsinger, H., Lehar, A., & Summer, M. (2006). Risk assessments for banking systems. Management Science, 52, 1301–1314.

    Article  Google Scholar 

  • Embree, L., & Roberts, T. (2009). Network analysis and Canada’s large value transfer system. Bank of Canada Discussion Paper 2009-13.

    Google Scholar 

  • Erdös, P., & Rényi, A. (1959). On random graphs. Publicationes Mathematicae Debrecen, 6, 220–297.

    Google Scholar 

  • European Central Bank. (2007). In Conference Proceedings of the Fourth Joint Central Bank Research Conference, November 8–9, 2005, ECB, Frankfurt.

    Google Scholar 

  • Finger, K., Fricke, D., & Lux, T. (2012). Network analysis of the e-MID overnight money market: The informational value of different aggregation levels for intrinsic dynamic processes. Kiel Working Paper 1782.

    Google Scholar 

  • Furfine, C. (2003). Interbank exposures: Quantifying the risk of contagion. Journal of Money, Credit and Banking, 35, 111–128.

    Article  Google Scholar 

  • Gai, P., & Kapadia, S. (2010). Contagion in financial networks. Proceedings of the Royal Society A, 466, 2401–2423.

    Google Scholar 

  • Garleanu, N., & Pedersen, L. (2007). Liquidity and risk management. American Economic Review Papers and Proceedings, 97, 193–197.

    Google Scholar 

  • Garratt, R., Mahadeva, L., & Svirydzenka, S. (2011). Mapping systemic risk in the international banking network. Bank of England Working Paper 413.

    Google Scholar 

  • Gauthier, C., Lehar, A., & Souissi, M. (2009). Macroprudential capital requirements and systemic risk. Unpublished Paper, Bank of Canada.

    Google Scholar 

  • Giglio, S. (2011). Credit default swap spreads and systemic financial risk. Unpublished Paper, Harvard University.

    Google Scholar 

  • Goyal, S. (2009). Connections: An introduction to the economics of networks. Princeton: Princeton University Press.

    Google Scholar 

  • Gray, D., Merton, R., & Bodie, Z. (2008). New framework for measuring and managing macrofinancial risk and financial stability. Harvard Business School Working Paper 09-015.

    Google Scholar 

  • Haldane, A. (2009). Rethinking the financial network. Speech delivered at the Financial Student Association, Amsterdam.

    Google Scholar 

  • Haldane, A., & May, R. (2011). Systemic risk in banking ecosystems. Nature, 469, 351–355.

    Article  Google Scholar 

  • Hartmann, P., Straetmans, S., & de Vries, C. (2005). Banking system stability: A cross-Atlantic perspective. NBER Working Paper 11698.

    Google Scholar 

  • Hattori, M., & Suda, Y. (2007). Developments in a cross-border bank exposure “network”. Bank of Japan Working Paper 07-E-21.

    Google Scholar 

  • Huang, X., Zhou, H., & Zhu, H. (2012). Systemic risk contributions. Journal of Financial Services Research, 42, 55–83.

    Article  Google Scholar 

  • Inaoka, H., Ninomiya, T., Taniguchi, K., Shimizu, T., & Takayasu, H. (2004). Fractal Network derived from banking transactions: An analysis of network structures formed by financial institutions. Bank of Japan Working Paper 04-E-04.

    Google Scholar 

  • Iori, G., Jafarey, S., & Padilla, F. (2006). Systemic risk on the interbank market. Journal of Economic Behavior and Organization, 61, 525–542.

    Article  Google Scholar 

  • Jackson, M. (2008). Social and economic networks. Princeton: Princeton University Press.

    Google Scholar 

  • Kiyotaki, N., & Moore, J. (2004). Credit chains. University of Edinburgh ESE Discussion Paper 118.

    Google Scholar 

  • Lagunoff, R., & Schreft, L. (2001). A model of financial fragility. Journal of Economic Theory, 99, 220–264.

    Article  Google Scholar 

  • Lehar, A. (2005). Measuring systemic risk: A risk management approach. Journal of Banking and Finance, 29, 853–864

    Article  Google Scholar 

  • Leitner, Y. (2005). Financial networks: Contagion, commitment, and private sector bailouts. Journal of Finance, 60, 2925–2953.

    Article  Google Scholar 

  • Lenzu, S., & Tedeschi, G. (2012). Systemic risk on different interbank network topologies. Physica A, 391, 4331–4341.

    Article  Google Scholar 

  • León, C., Machado, C., Cepeda, F., & Sarmiento, M. (2012). Systemic risk in large value payment systems in Colombia: A network topology and payments simulation approach. In M. Hellqvist, & T. Laine (Eds.), Diagnostics for the financial markets: Computational studies of payment system (pp. 267–313). Helsinki: Edita Prima Oy.

    Google Scholar 

  • Lublóy, A. (2005). Domino effect in the Hungarian interbank market. Kozgazdasagi Szemle (Economic Review), 42, 377–401.

    Google Scholar 

  • Lublóy, A. (2006). Topology of the Hungarian large-value transfer system. Magyar Nemzeti Bank Occasional Paper 57.

    Google Scholar 

  • Markellof, R., Warner, G., & Wollin, E. (2012). Modeling systemic risk to the financial system. MITRE Corporation Technical Paper 12-1870.

    Google Scholar 

  • Markose, S., Giansante, S., Gatkowski, M., & Shaghaghi, A. (2010). Too interconnected to fail: Financial contagion and systemic risk in network model of CDS and other credit enhancement obligations of US banks. University of Essex Discussion Paper 683.

    Google Scholar 

  • May, R., & Arinaminpathy, N. (2010). Systemic risk: The dynamics of model banking systems. Interface: Journal of the Royal Society, 7, 823–838.

    Google Scholar 

  • May, R., Levin, S., & Sugihara, G. (2008). Ecology for bankers. Nature, 451, 893–895.

    Article  Google Scholar 

  • McGuire, P., & Tarashev, N. (2008). Global monitoring with the BIS international banking statistics. BIS Working Paper 244.

    Google Scholar 

  • Mistrulli, P. (2011). Assessing financial contagion in the interbank market: maximum entropy versus observed interbank lending patterns. Journal of Banking and Finance, 35, 1114–1127.

    Article  Google Scholar 

  • Montagna, M., & Lux, T. (2013). Hubs and resilience: Towards more realistic models of the interbank markets. Kiel Working Paper 1826.

    Google Scholar 

  • Nier, E., Yang, J., Yorulmazer, T., & Alentorn, A. (2007). Network models and financial stability. Journal of Economic Dynamics and Control, 31, 2033–2060.

    Article  Google Scholar 

  • Pröpper, M., van Lelyveld, I., & Heijmans, R. (2012). Network dynamics of TOP payments. In M. Hellqvist & T. Laine (Eds.), Diagnostics for the financial markets: Computational studies of payment system (pp. 235–266). Helsinki: Edita Prima Oy.

    Google Scholar 

  • Rørdam, K., & Bech, M. (2009). The topology of Danish interbank money flows. Banks and Bank Systems, 4, 48–65.

    Google Scholar 

  • Rochet, J-C., & Tirole, J. (1996). Interbank lending and systemic risk. Journal of Money, Credit, and Banking, 28, 733–762.

    Article  Google Scholar 

  • Saunders, A., Smith, R., & Walter, I. (2009). Enhanced regulation of large complex financial institutions. In V. Acharya & M. Richardson (Eds.), Restoring financial stability (pp. 139–156). New Jersey: Wiley.

    Google Scholar 

  • Schweitzer, F., Fagiolo, G., Sornette, D., Vega-Redondo, F., Vespignani, A., & White, D. (2009). Economic networks: The new challenges. Science, 325, 422–425.

    Google Scholar 

  • Segoviano, M., & Goodhart, C. (2009). Banking stability measures. IMF Discussion Paper 627.

    Google Scholar 

  • Sheldon, G., & Mauer, M. (1998). Interbank lending and systemic risk: An empirical analysis of Switzerland. Swiss Journal of Economics and Statistics, 134, 685–704.

    Google Scholar 

  • Sokolov, A., Webster, R., Melatos, A., & Kieu, T. (2012). Loan and nonloan flows in the Australian interbank network. Physica A, 391, 2867–2882.

    Article  Google Scholar 

  • Soramäki, K., Bech, M., Arnold, J., Glass, R., & Beylerer, W. (2007a). The topology of interbank payment flows. Physica A, 379, 317–333.

    Article  Google Scholar 

  • Soramäki, K., Beyeler, W., Bech, M., & Glass, R. (2007b). New approaches for payment system simulation research. In H. Leinonen (Ed.), Simulation studies of liquidity needs, risks and efficiency in payment networks (pp.15–39). Helsinki: Edita Prima Oy.

    Google Scholar 

  • Tarashev, N., Borio, C., & Tsatsaronis, K. (2010). Allocating systemic risk to individual institutions; methodology and policy applications. BIS Working Paper 308.

    Google Scholar 

  • Teteryatnikova, M. (2012). Systemic risk in banking networks: Advantages of “Tiered” banking systems. University of Vienna Working Paper 1203.

    Google Scholar 

  • Upper, C. (2007). Using counterfactual simulations to assess the danger of contagion in interbank markets. BIS Working Paper 234.

    Google Scholar 

  • Upper, C., & Worms, A. (2004). Estimating bilateral exposures in the German interbank market: Is there a danger of contagion? European Economic Review, 48, 827–849.

    Article  Google Scholar 

  • Van Lelyveld, I., & Liedorp, F. (2006). Interbank contagion in the Dutch banking sector: A sensitivity analysis. International Journal of Central Banking, 2, 99–134.

    Google Scholar 

  • Varela, L-M., Rotundo, G., Ausloos, M., & Carrete, J. (2015). Complex networks analysis in socioeconomic models. In P. Commendatore, S. Kayam, & I. Kubin (Eds.), Complexity and geographical economics: Topics and tools. Heidelberg: Springer (This volume).

    Google Scholar 

  • Vega-Redondo, F. (2007). Complex social networks. Cambridge: Cambridge University Press.

    Book  Google Scholar 

  • Von Peter, G. (2007). International banking centres: A network perspective. BIS Quarterly Review Working Paper, http://dx.doi.org/10.2139/ssrn.1075205.

  • Wells, S. (2004). Financial interlinkages in the United Kingdom’s interbank market and the risk of contagion. Bank of England Working Paper 230.

    Google Scholar 

  • Wong, A., & Fong, T. (2010). An analysis of the interconnectivity among the Asia-Pacific economies. Unpublished Paper, Hong Kong Monetary Authority.

    Google Scholar 

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Acknowledgements

We would like to acknowledge financial support from COST Action IS1104 “The EU in the new economic complex geography: models, tools and policy analysis”.

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Bougheas, S., Kirman, A. (2015). Complex Financial Networks and Systemic Risk: A Review. In: Commendatore, P., Kayam, S., Kubin, I. (eds) Complexity and Geographical Economics. Dynamic Modeling and Econometrics in Economics and Finance, vol 19. Springer, Cham. https://doi.org/10.1007/978-3-319-12805-4_6

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