Network models of financial systemic risk: a review
Tóm tắt
The global financial system can be represented as a large complex network in which banks, hedge funds and other financial institutions are interconnected to each other through visible and invisible financial linkages. Recently, a lot of attention has been paid to the understanding of the mechanisms that can lead to a breakdown of this network. This can happen when the existing financial links turn from being a means of risk diversification to channels for the propagation of risk across financial institutions. In this review article, we summarize recent developments in the modeling of financial systemic risk. We focus, in particular, on network approaches, such as models of default cascades due to bilateral exposures or to overlapping portfolios, and we also report on recent findings on the empirical structure of interbank networks. The current review provides a landscape of the newly arising interdisciplinary field lying at the intersection of several disciplines, such as network science, physics, engineering, economics, and ecology.
Tài liệu tham khảo
May, R. M., Levin, S. A., & Sugihara, G. (2008). Complex systems: Ecology for bankers. Nature, 451(7181), 893–895.
Schweitzer, F., Fagiolo, G., Sornette, D., Vega-Redondo, F., Vespignani, A., & White, D. R. (2009). Economic networks: The new challenges. Science, 325(5939), 422–425.
Battiston, S., Farmer, J. D., Flache, A., Garlaschelli, D., Haldane, A. G., Heesterbeek, H., et al. (2016). Complexity theory and financial regulation. Science, 351(6275), 818–819.
Haldane, A. G., & May, R. M. (2011). Systemic risk in banking ecosystems. Nature, 469(7330), 351–355.
Fouque, J. P., & Langsam, J. A. (2013). Handbook on Systemic Risk. Cambridge: Cambridge University Press.
Eisenberg, L., & Noe, T. H. (2001). Systemic risk in financial systems. Management Science, 47(2), 236–249.
Gai, P., & Kapadia, S. (2010). Contagion in financial networks. Proceedings of the Royal Society A, 466(2120), 2401–2423.
Watts, D. J. (2002). A simple model of global cascades on random networks. Proceedings of the National Academy of Sciences USA, 99(9), 5766–5771.
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.
Battiston, S., Caldarelli, G., May, R. M., Roukny, T., & Stiglitz, J. E. (2016). The price of complexity in financial networks. Proceedings of the National Academy of Sciences USA, 113(36), 10031–10036.
Tarski, A. (1955). A lattice-theoretical fixpoint theorem and its applications. Pacific Journal of Mathematics, 5(2), 285–309.
Rogers, L. C., & Veraart, L. A. (2013). Failure and rescue in an interbank network. Management Science, 59(4), 882–898.
Visentin, G., Battiston, S., D’Errico, M. (2016). Rethinking financial contagion. arXiv:1608.07831.
Elsinger, H., Lehar, A., & Summer, M. (2006). Risk assessment for banking systems. Management Science, 52(9), 1301–1314.
Barucca, P., Bardoscia, M., Caccioli, F., D’Errico, M., Visentin, G., Battiston, S., Caldarelli, G. (2016). Network valuation in financial systems. arXiv:1606.05164.
Gleeson, J. P., & Cahalane, D. J. (2007). Seed size strongly affects cascades on random networks. Physical Review E, 75(5), 056103.
Lee, K.-M., Brummitt, C. D., & Goh, K.-I. (2014). Threshold cascades with response heterogeneity in multiplex networks. Physical Review E, 90(6), 062816.
Kobayashi, T. (2015). Trend-driven information cascades on random networks. Physical Review E, 92(6), 062823.
Newman, M. E. J. (2010). Networks: An Introduction. Oxford: Oxford University Press.
Callaway, D. S., Newman, M. E., Strogatz, S. H., & Watts, D. J. (2000). Network robustness and fragility: Percolation on random graphs. Physical Review Letters, 85(25), 5468.
Kobayashi, T., Takaguchi, T. (2017). Social dynamics of financial networks. arXiv:1703.10832.
Boguñá, M., & Serrano, M. A. (2005). Generalized percolation in random directed networks. Physical Review E, 72(1), 016106.
Payne, J., Harris, K., & Dodds, P. (2011). Exact solutions for social and biological contagion models on mixed directed and undirected, degree-correlated random networks. Physical Review E, 84(1), 016110.
Hurd, T. R., & Gleeson, J. P. (2013). On Watts’ cascade model with random link weights. Journal of Complex Networks, 1(1), 25–43.
Hurd, T. R. (2016). Contagion!: Systemic Risk in Financial Networks. New York: Springer.
Unicomb, S., Iñiguez, G., Karsai, M. (2017). Threshold driven contagion on weighted networks. arXiv:1707.02185.
Gleeson, J. P. (2011). High-accuracy approximation of binary-state dynamics on networks. Physical Review Letters, 107(6), 068701.
Gleeson, J. P. (2013). Binary-state dynamics on complex networks: Pair approximation and beyond. Physical Review X, 3(2), 021004.
Erdős, P., & Rényi, A. (1959). On random graphs I. Publicationes Mathematicae, 6, 290–297.
Boss, M., Elsinger, H., Summer, M., & Thurner, S. (2004). Network topology of the interbank market. Quantitative Finance, 4(6), 677–684.
Iori, G., De Masi, G., Precup, O. V., Gabbi, G., & Caldarelli, G. (2008). A network analysis of the Italian overnight money market. Journal of Economic Dynamics and Control, 32(1), 259–278.
Cont, R., Moussa, A., & Santos, E. B. (2013). Network structure and systemic risk in banking systems. In J.-P. Fouque & J. A. Langsam (Eds.), Handbook on Systemic Risk. New York: Cambridge University Press.
Melnik, S., Hackett, A., Porter, M. A., Mucha, P. J., & Gleeson, J. P. (2011). The unreasonable effectiveness of tree-based theory for networks with clustering. Physical Review E, 83(3), 036112.
Radicchi, F., & Castellano, C. (2016). Beyond the locally treelike approximation for percolation on real networks. Physical Review E, 93(3), 030302.
Ikeda, Y., Hasegawa, T., & Nemoto, K. (2010). Cascade dynamics on clustered network. Journal of Physics: Conference Series, 221(1), 012005.
Soramäki, K., Bech, M. L., Arnold, J., Glass, R. J., & Beyeler, W. E. (2007). The topology of interbank payment flows. Physica A, 379(1), 317–333.
Bech, M. L., & Atalay, E. (2010). The topology of the federal funds market. Physica A, 389(22), 5223–5246.
Dodds, P. S., & Payne, J. L. (2009). Analysis of a threshold model of social contagion on degree-correlated networks. Physical Review E, 79(6), 066115.
Payne, J., Dodds, P., & Eppstein, M. (2009). Information cascades on degree-correlated random networks. Physical Review E, 80(2), 026125.
Hurd, T. R., Gleeson, J. P., & Melnik, S. (2017). A framework for analyzing contagion in assortative banking networks. PLoS One, 12(2), 1–20.
Kivelä, M., Arenas, A., Barthelemy, M., Gleeson, J. P., Moreno, Y., & Porter, M. A. (2014). Multilayer networks. Journal of Complex Networks, 2(3), 203–271.
Brummitt, C. D., & Kobayashi, T. (2015). Cascades in multiplex financial networks with debts of different seniority. Physical Review E, 91(6), 062813.
Bargigli, L., Di Iasio, G., Infante, L., Lillo, F., & Pierobon, F. (2015). The multiplex structure of interbank networks. Quantitative Finance, 15(4), 673–691.
Poledna, S., Molina-Borboa, J. L., Martínez-Jaramillo, S., van der Leij, M., & Thurner, S. (2015). The multi-layer network nature of systemic risk and its implications for the costs of financial crises. Journal of Financial Stability, 20, 70–81.
Beale, N., Rand, D. G., Battey, H., Croxson, K., May, R. M., & Nowak, M. A. (2011). Individual versus systemic risk and the regulator’s dilemma. Proceedings of the National Academy of Sciences USA, 108(31), 12647–12652.
Huang, X., Vodenska, I., Havlin, S., & Stanley, H. E. (2013). Cascading failures in bi-partite graphs: Model for systemic risk propagation. Scientific Reports, 3, 1219.
Caccioli, F., Shrestha, M., Moore, C., & Farmer, J. D. (2014). Stability analysis of financial contagion due to overlapping portfolios. Journal of Banking & Finance, 46, 233–245.
Caccioli, F., Farmer, J. D., Foti, N., & Rockmore, D. (2015). Overlapping portfolios, contagion, and financial stability. Journal of Economic Dynamics and Control, 51, 50–63.
Kobayashi, T. (2013). Network versus portfolio structure in financial systems. European Physical Journal B, 86(10), 434.
Kobayashi, T. (2014). A model of financial contagion with variable asset returns may be replaced with a simple threshold model of cascades. Economics Letters, 124, 113–116.
Glasserman, P., & Young, H. P. (2015). How likely is contagion in financial networks? Journal of Banking & Finance, 50, 383–399.
Battiston, S., D’Errico, M., Visentin, G. (2016). Rethinking financial contagion. arXiv:1608.07831.
Upper, C. (2011). Simulation methods to assess the danger of contagion in interbank markets. Journal of Financial Stability, 7(3), 111–125.
Glasserman, P., & Young, H. P. (2015). Financial networks. Department of Economics Discussion Paper 753. Oxford: University of Oxford.
Battiston, S., Caldarelli, G., D’Errico, M., & Gurciullo, S. (2016). Leveraging the network: A stress-test framework based on DebtRank. Statistics & Risk Modeling, 33(3–4), 117–138.
Bardoscia, M., Battiston, S., Caccioli, F., & Caldarelli, G. (2015). DebtRank: A microscopic foundation for shock propagation. PLoS One, 10(6), e0130406.
Bardoscia, M., Caccioli, F., Perotti, J. I., Vivaldo, G., & Caldarelli, G. (2016). Distress propagation in complex networks: The case of non-linear DebtRank. PLoS One, 11(10), e0163825.
Bardoscia, M., Battiston, S., Caccioli, F., & Caldarelli, G. (2017). Pathways towards instability in financial networks. Nature Communications, 8, 14416.
Thurner, S., & Poledna, S. (2013). Debtrank-transparency: Controlling systemic risk in financial networks. Scientific Reports, 3, 1888.
Poledna, S., & Thurner, S. (2016). Elimination of systemic risk in financial networks by means of a systemic risk transaction tax. Quantitative Finance, 16(10), 1599–1613.
Cifuentes, R., Ferrucci, G., & Shin, H. S. (2005). Liquidity risk and contagion. Journal of the European Economic Association, 3(2–3), 556–566.
Nier, E., Yang, J., Yorulmazer, T., & Alentorn, A. (2007). Network models and financial stability. Journal of Economic Dynamics and Control, 31(6), 2033–2060.
May, R. M., & Arinaminpathy, N. (2010). Systemic risk: The dynamics of model banking systems. Journal of the Royal Society Interface, 7(46), 823–838.
Banwo, O., Caccioli, F., Harrald, P., & Medda, F. (2016). The effect of heterogeneity on financial contagion due to overlapping portfolios. Advances in Complex Systems, 19(08), 1650016.
Greenwood, R., Landier, A., & Thesmar, D. (2015). Vulnerable banks. Journal of Financial Economics, 115(3), 471–485.
Duarte, F., & Eisenbach, T. M. (2015). Fire-sale spillovers and systemic risk. Staff Report no. 645. New York: Federal Reserve Bank of New York.
Cont, R., Schaanning, E.F. (2017). Fire sales, indirect contagion and systemic stress testing. Working Paper 2/2017. Norges Bank, Oslo
Corsi, F., Marmi, S., & Lillo, F. (2016). When micro prudence increases macro risk: The destabilizing effects of financial innovation, leverage, and diversification. Operations Research, 64(5), 1073–1088.
Shin, H. S. (2010). Risk and Liquidity. Oxford: Oxford University Press.
Upper, C., & Worms, A. (2004). Estimating bilateral exposures in the German interbank market: Is there a danger of contagion? European Economic Review, 48(4), 827–849.
Degryse, H., Nguyen, G., et al. (2007). Interbank exposures: An empirical examination of contagion risk in the Belgian banking system. International Journal of Central Banking, 3(2), 123–171.
van Lelyveld, I., & Liedorp, F. (2006). Interbank contagion in the Dutch banking sector: A sensitivity analysis. International Journal of Central Banking, 2(2), 99–133.
Wells, S. (2004). Financial interlinkages in the United Kingdom’s interbank market and the risk of contagion. Bank of England Quarterly Bulletin, 44(3), 331.
Langfield, S., Liu, Z., & Ota, T. (2014). Mapping the UK interbank system. Journal of Banking & Finance, 45, 288–303.
Furfine, C. (2003). Interbank exposures: Quantifying the risk of contagion. Journal of Money, Credit, and Banking, 35(1), 111–128.
Martínez-Jaramillo, S., Alexandrova-Kabadjova, B., Bravo-Benitez, B., & Solórzano-Margain, J. P. (2014). An empirical study of the Mexican banking systems network and its implications for systemic risk. Journal of Economic Dynamics and Control, 40, 242–265.
Imakubo, K., Soejima, Y., et al. (2010). The transaction network in Japan’s interbank money markets. Monetary and Economic Studies, 28, 107–150.
Mistrulli, P. E. (2011). Assessing financial contagion in the interbank market: Maximum entropy versus observed interbank lending patterns. Journal of Banking & Finance, 35(5), 1114–1127.
Mastrandrea, R., Squartini, T., Fagiolo, G., & Garlaschelli, D. (2014). Enhanced reconstruction of weighted networks from strengths and degrees. New Journal of Physics, 16(4), 043022.
Anand, K., van Lelyveld, I., Banai, Á, Friedrich, S., Garratt, R., Halaj, G., Fique, J., Hansen, I., Martínez-Jaramillo, S., Lee, H., Molina-Borboa, J.L., Nobili, S., Rajan, S., Salakhova, D., Silva, T.C., Silvestri,, L., de Souza, S.R.S. (2017). The missing links: A global study on uncovering financial network structures from partial data. Journal of Financial Stability (in press).
Demiralp, S., Preslopsky, B., & Whitesell, W. (2006). Overnight interbank loan markets. Journal of Economics and Business, 58(1), 67–83.
Borgatti, S. P., & Everett, M. G. (2000). Models of core/periphery structures. Social Networks, 21(4), 375–395.
Craig, B., & von Peter, G. (2014). Interbank tiering and money center banks. Journal of Financial Intermediation, 23(3), 322–347.
Fricke, D., & Lux, T. (2015). Core-periphery structure in the overnight money market: evidence from the e-MID trading platform. Computational Economics, 45(3), 359–395.
Barucca, P., & Lillo, F. (2016). Disentangling bipartite and core-periphery structure in financial networks. Chaos, Solitons & Fractals, 88, 244–253.
Barucca, P., & Lillo, F. (2017). The organization of the interbank network and how ECB unconventional measures affected the e-MID overnight market. Computational Management Science. https://doi.org/10.1007/s10287-017-0293-6.
Peixoto T.P. (2017). Bayesian stochastic blockmodeling. arXiv:1705.10225.
Rombach, M. P., Porter, M. A., Fowler, J. H., & Mucha, P. J. (2014). Core-periphery structure in networks. SIAM Journal on Applied mathematics, 74(1), 167–190.
Kojaku, S., Masuda, N. (2017a). Finding multiple core-periphery pairs in networks. arXiv:1702.06903.
Kojaku, S., Masuda, N. (2017b). Core-periphery structure requires something else in the network. arXiv:1710.07076.
Kamada, T., & Kawai, S. (1989). An algorithm for drawing general undirected graphs. Information Processing Letters, 31(1), 7–15.
in ’t Veld, D., & van Lelyveld, I. (2014). Finding the core: Network structure in interbank markets. Journal of Banking & Finance, 49(Supplement C), 27–40. https://doi.org/10.1016/j.jbankfin.2014.08.006.
Finger, K., Fricke, D., & Lux, T. (2013). Network analysis of the e-MID overnight money market: The informational value of different aggregation levels for intrinsic dynamic processes. Computational Management Science, 10(2–3), 187–211.
Musmeci, N., Battiston, S., Caldarelli, G., Puliga, M., & Gabrielli, A. (2013). Bootstrapping topological properties and systemic risk of complex networks using the fitness model. Journal of Statistical Physics, 151(3–4), 720–734.
Estrada, E., & Rodríguez-Velázquez, J. A. (2005). Spectral measures of bipartivity in complex networks. Physical Review E, 72(4), 046105.
Cattuto, C., Van den Broeck, W., Barrat, A., Colizza, V., Pinton, J.-F., & Vespignani, A. (2010). Dynamics of person-to-person interactions from distributed RFID sensor networks. PLoS One, 5(7), 1–9.
Starnini, M., Baronchelli, A., & Pastor-Satorras, R. (2013). Modeling human dynamics of face-to-face interaction networks. Physical Review Letters, 110(16), 168701.
Schläpfer, M., Bettencourt, L. M., Grauwin, S., Raschke, M., Claxton, R., Smoreda, Z., et al. (2014). The scaling of human interactions with city size. Journal of the Royal Society Interface, 11(98), 20130789.