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Is network theory the best hope for regulating systemic risk?  Kimmo Soramaki www.financialnetworkanalysis.com  www.soramaki.net ECB workshop on  "Recent advances in modelling systemic risk  using network analysis“ ECB, 5 October 2009
“ The current economic crisis illustrates a critical need for new and fundamental understanding of the structure and dynamics of economic networks.” (Science, July 2009) “ Meltdown modeling -Could agent-based computer models prevent another financial crisis?” (Nature, August 2009) “ Is network theory the best hope for regulating systemic risk?” (CFA Magazine, July 2009)
Agenda ,[object Object],[object Object],[object Object],[object Object]
Network theory Network theory Sociology   ( social network analysis , authority, communities, citation networks) Biology & Epidemiology ( biological network analysis , food webs, spread of viruses) Computer science (internet, network traffic) Mathematics   ( graph theory  &  matrix theory , route problems, coloring, enumeration) Banking & Finance ( financial network analysis ) Physics   ( network science , large-scale networks, statistical mechanics) Economics (≠  network economics,  network games) Network theory bottom line: Links affect attributes, structure affects performance
… and visualization Soramaki, K, M.L. Bech, J. Arnold, R.J. Glass and W.E. Beyeler (2007), “The topology of interbank payment flows”, Physica A, Vol. 379, pp 317-333, 2007. Fedwire Federal funds Bech, M.L. and Atalay, E. (2008), “The Topology of the Federal Funds Market”. ECB Working Paper No. 986.   Iori G, G de Masi, O Precup, G Gabbi and G Caldarelli (2008): “A network analysis of the Italian overnight money market”, Journal of Economic Dynamics and Control, vol. 32(1), pages 259-278  Italian money market Wetherilt, A. P. Zimmerman, and K. Soramäki (2008), “The sterling unsecured loan market during 2006–2008: insights from network topology“, in Leinonen (ed),  BoF Scientific monographs, E  42 Unsecured sterling money market
General findings I ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],Degree (log) Probability (log) Fedwire degree distribution
General findings II ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],BoF payment system simulator seminar ‘06
I. Systemic importance ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]
Networks have a process Borgatti, S. (2005), ”Centrality and Network Flow”,  Social Networks 27, pp. 55–71. Contagion Payment flows Paths – never the same vertex Trails – never the same edge/arc Walks – no constraint
... and processes have a relevant centrality measure Markov chains, random walk betweenness Degree : number of links incident upon a node Closeness : short geodesic distances to other vertices Betweenness : vertices that occur on many shortest paths between other vertices  Eigenvector : centrality increases by connections to central nodes
Vertices have behavior ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]
Centrality vs. simulation - a little experiment ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]
Process & behavior ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]
Centrality vs. liquidity needs more queuing more risk management  =0.97  =0.95  =0.84  =0.75 centrality centrality centrality centrality additional funds additional funds additional funds additional funds Traditional centrality measures may not capture complex behavior
II: Optimal topology ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]
CCP’s expected exposures high  tiering   low low  concentration   high
CCP’s maximum exposure tiering Tiering lowers expected maximum exposures but makes them more variable and high exposures are more likely than with a star network low tiering high tiering
CCP’s maximum exposure concentration low concentration high  concentration Concentration decreases expected maximum exposures and high exposures are less likely than with a even distribution
III. Early warning indicators from payment data? ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]
Thank you
www.financialnetworkanalysis.com

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Is network theory the best hope for regulating systemic risk?

  • 1. Is network theory the best hope for regulating systemic risk? Kimmo Soramaki www.financialnetworkanalysis.com www.soramaki.net ECB workshop on "Recent advances in modelling systemic risk using network analysis“ ECB, 5 October 2009
  • 2. “ The current economic crisis illustrates a critical need for new and fundamental understanding of the structure and dynamics of economic networks.” (Science, July 2009) “ Meltdown modeling -Could agent-based computer models prevent another financial crisis?” (Nature, August 2009) “ Is network theory the best hope for regulating systemic risk?” (CFA Magazine, July 2009)
  • 3.
  • 4. Network theory Network theory Sociology ( social network analysis , authority, communities, citation networks) Biology & Epidemiology ( biological network analysis , food webs, spread of viruses) Computer science (internet, network traffic) Mathematics ( graph theory & matrix theory , route problems, coloring, enumeration) Banking & Finance ( financial network analysis ) Physics ( network science , large-scale networks, statistical mechanics) Economics (≠ network economics, network games) Network theory bottom line: Links affect attributes, structure affects performance
  • 5. … and visualization Soramaki, K, M.L. Bech, J. Arnold, R.J. Glass and W.E. Beyeler (2007), “The topology of interbank payment flows”, Physica A, Vol. 379, pp 317-333, 2007. Fedwire Federal funds Bech, M.L. and Atalay, E. (2008), “The Topology of the Federal Funds Market”. ECB Working Paper No. 986.  Iori G, G de Masi, O Precup, G Gabbi and G Caldarelli (2008): “A network analysis of the Italian overnight money market”, Journal of Economic Dynamics and Control, vol. 32(1), pages 259-278 Italian money market Wetherilt, A. P. Zimmerman, and K. Soramäki (2008), “The sterling unsecured loan market during 2006–2008: insights from network topology“, in Leinonen (ed), BoF Scientific monographs, E 42 Unsecured sterling money market
  • 6.
  • 7.
  • 8.
  • 9. Networks have a process Borgatti, S. (2005), ”Centrality and Network Flow”, Social Networks 27, pp. 55–71. Contagion Payment flows Paths – never the same vertex Trails – never the same edge/arc Walks – no constraint
  • 10. ... and processes have a relevant centrality measure Markov chains, random walk betweenness Degree : number of links incident upon a node Closeness : short geodesic distances to other vertices Betweenness : vertices that occur on many shortest paths between other vertices Eigenvector : centrality increases by connections to central nodes
  • 11.
  • 12.
  • 13.
  • 14. Centrality vs. liquidity needs more queuing more risk management  =0.97  =0.95  =0.84  =0.75 centrality centrality centrality centrality additional funds additional funds additional funds additional funds Traditional centrality measures may not capture complex behavior
  • 15.
  • 16. CCP’s expected exposures high tiering low low concentration high
  • 17. CCP’s maximum exposure tiering Tiering lowers expected maximum exposures but makes them more variable and high exposures are more likely than with a star network low tiering high tiering
  • 18. CCP’s maximum exposure concentration low concentration high concentration Concentration decreases expected maximum exposures and high exposures are less likely than with a even distribution
  • 19.

Notas do Editor

  1. Sociology: Jacob Moreno 1932, Hudson School for Girls in upstate New York. 14 Girls had run away. “Had less to do with individual characteristics than with the positions of the runaways in an underlying social network” Graph coloring/labeling: the convention of using colors originates from coloring the countries of a map, where each face is literally colored.
  2. http://en.wikipedia.org/wiki/Homophily http://blogs.zdnet.com/emergingtech/?p=863 (Six degrees of messenging)