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Concurrent Session 1B:
Mapping Financial Landscapes

              Speaker
          Kimmo Soramäki
“When the crisis came, the serious limitations of existing economic
and financial models immediately became apparent.
[...]
As a policy-maker during the crisis, I found the available models of
limited help. In fact, I would go further: in the face of the crisis, we
felt abandoned by conventional tools.”


                            in a Speech by Jean-Claude Trichet, President of the
                            European Central Bank, Frankfurt, 18 November 2010




                                                                                   2
We did not have maps …




                         3
Eratosthenes' map of the known world4
c. 194 BC
Fedwire payment network
                                            • Total of ~8000 banks
                                            • 66 banks comprise 75% of
                                              value
                                            • 25 banks completely connected


                                            • Scale-free degree distribution
                                            • Similar to other socio-
                                              technological networks




Soramäki, Bech, Beyeler, Glass and Arnold
                                                                           5
(2007), Physica A, Vol. 379, pp 317-333.
Financial and geographic maps

Similarities
• Are visualizations of multivariate data
• Have global and local views
• Alter and aid decision making

Differences - Financial Maps:
• Relationships are not spatial
• Change faster than tectonic plates

                                            6
Agenda



Mapping Systemic Risk
Mapping Market Data
Network Theory




                        7
Mapping systemic risk




                        8
Systemic risk                 ≠ systematic risk




                                 News articles mentioning “systemic risk”, Source: trends.google.com

• The risk of disruption to a financial entity with spillovers to the real
  economy
• Risk of a crisis that stresses key intermediation markets and leads to their
  breakdown, which impacts the broader economy and requires
  government intervention
• Risk that critical nodes of a financial network cease to function as
  designed, disrupting linkages

-> some chain of events that starts or gets magnified in the finance sector and
makes us all worse off
                                                                                                       9
Background
• Regulatory response to recent financial crisis was to
  strengthen macro-prudential supervision with mandates for
  more regulatory data.

• The challenge now is to
  understand and utilize the data

• Analytics based policy and regulation,
  i.e. the application of computer
  technology, operations research,
  and statistics to support decision       Katsushika Hokusai. The great wave off
  making                                   Kanagawa ~1830




                                                                               10
Research
•   A growing body of empirical research on financial networks from a
    systemic risk perspective


•   Interbank payment flows
     – Soramäki et al (2006), Becher et al. (2008), Boss et al. (2008), Pröpper et al. (2009),
       Embree and Roberts (2009), Akram and Christophersen (2010) …
•   Overnight loans networks
     – Atalay and Bech (2008), Bech and Bonde (2009), Wetherilt et al. (2009), Iori et al.
       (2008) and Heijmans et al. (2010), Craig & von Peter (2010) …
•   Flow of funds, Credit registry, Stock trading…
     – Castren and Kavonius (2009), Bastos e Santos and Cont (2010), Garrett et al. 2011,
       Minoiu and Reyes (2011), Adamic et al. (2009), Jiang and Zhou (2011) …


•   More at www.fna.fi/library

                                                                                             11
Visualizing Financial Networks
                               Bech, M.L. and Atalay, E. (2008), “The Topology of
                               the Federal Funds Market”. ECB Working Paper No. 986.         Italian money market
                                                                                             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




Federal funds                                                                                          Unsecured Sterling
                                                                                                       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




                                                   Minoiu, Camelia and Reyes, Javier A. (2010). A network analysis of global
                Cross-border bank lending          banking:1978-2009. IMF Working Paper WP/11/74.
                                                                                                                                      12
The New York Times, 1 May 2010
Europe's Web of Debt




                                 13
BBC, 18 November 2011
Eurozone debt web: Who owes what to whom?




                                                                     14
                             http://www.bbc.co.uk/news/business-15748696
Example 1:
BIS consolidated banking statistics
• The Bank for International Settlements (BIS) consolidated banking
  sector statistics (item
  9D), http://www.bis.org/statistics/consstats.htm
• Data on banks' on-balance sheet financial claims by country
• Provide a measure of the risk exposures of lenders' national banking
  systems.
• Only countries reporting both exposures from and to are included

   net_id    from_id     to_id     value
   2005-1Q   Australia   Austria            499
   2005-1Q   Australia   Belgium           1135
   2005-1Q   Australia   Canada            1884
   2005-1Q   Australia   Finland            553
   2005-1Q   Australia   France            5028
   …




                                                                    15
• ‘Chord diagram’

• Using D3
  library based
  on work on
  Circos

• Implemented in
  FNA

• Link to
  interactive
  version

                  16
Centrality

• Degree: number of links



• Closeness: distance to other
  nodes via shortest paths



• Betweenness: number of shortest
  paths going through the node



• Eigenvector: nodes that are linked by/to
  other important nodes are more central
                                             17
• Network layout

• Node size
  scales with
  PageRank

• Link width
  scales with
  value of
  exposure




                18
Mapping financial markets




                            19
Correlation matrix

• Pairwise correlations of 141 assets, 9927 data points




                                                          20
• Heatmap

• Deep blue ->
  strong negative
  correlation

• Deep red ->
  strong positive
  correlation

• Link to
  interactive
  version

                21
• We consider
  only the
  Maximum
  Spanning Tree
  of absolute
  correlations

• 140 unique
  data points
  -> links




                  22
•   Network visualization
    of correlation tree

•   Clear clustering of
    asset classes

•   Size of nodes scales
    with their degree
    centrality

•   Joint work with
    Jochen
    Papenbrock, Firamis
    UG (Germany)

•   Link to interactive
    version            23
• Link lengths
  scale with
  correlation

• Mapping
  change and
  time-series

• Link to
  interactive
  version


           24
Intelligence Amplification
•   A solution is to augment human
    intelligence
•   Intelligence Amplification vs Artificial
    Intelligence

    William Ross Ashby (1956) in ‘Introduction to
    Cybernetics’


•   Technology, products and practices
    change constantly, market knowledge             Game of Go (from China).
    is essential
                                                    Computer programs only get to
                                                    human amateur level due to good
•   Algorithms don’t fare well in periods of        pattern recognition capabilities
    abrupt change, algorithms do not think          needed in the game.
    outside the box

•   Data reduction                                                                     25
Network Theory is to Financial Maps what
   Cartography is to Geographic Maps




                                           26
Network theory and related fields



                          Financial
                          Network
                          Analysis
         Social Network                Network
           Analysis                    Science
                          NETWORK
                           THEORY
         Graph & Matrix                Computer
            Theory                      Science
                          Biological
                          Network
                          Analysis


                                                  27
Main premise of network theory:
Structure of links between nodes matters
• The properties and behavior of a node cannot be analyzed on the
  basis its own properties and behavior alone.
• To understand the behavior of one node, one must analyze the
  behavior of nodes that may be several links apart in the network.

• Financial contexts
   – Trading networks, payment networks, exposure networks
   – Networks of interconnected balance sheets
   – Networks of asset dependencies


• Topics: Centrality, Communities, Layouts, Spreading and generation
  processes, Path finding, etc.


                                                                      28
FNA.fi - Open platform for
Financial Network Analysis




www.fna.fi – Open platform for
Financial Network Analysis

Contact: kimmo@soramaki.net

Twitter: soramaki

Thank you!
                                 29

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Mapping Financial Landscapes @ PRMIA

  • 1. Concurrent Session 1B: Mapping Financial Landscapes Speaker Kimmo Soramäki
  • 2. “When the crisis came, the serious limitations of existing economic and financial models immediately became apparent. [...] As a policy-maker during the crisis, I found the available models of limited help. In fact, I would go further: in the face of the crisis, we felt abandoned by conventional tools.” in a Speech by Jean-Claude Trichet, President of the European Central Bank, Frankfurt, 18 November 2010 2
  • 3. We did not have maps … 3
  • 4. Eratosthenes' map of the known world4 c. 194 BC
  • 5. Fedwire payment network • Total of ~8000 banks • 66 banks comprise 75% of value • 25 banks completely connected • Scale-free degree distribution • Similar to other socio- technological networks Soramäki, Bech, Beyeler, Glass and Arnold 5 (2007), Physica A, Vol. 379, pp 317-333.
  • 6. Financial and geographic maps Similarities • Are visualizations of multivariate data • Have global and local views • Alter and aid decision making Differences - Financial Maps: • Relationships are not spatial • Change faster than tectonic plates 6
  • 7. Agenda Mapping Systemic Risk Mapping Market Data Network Theory 7
  • 9. Systemic risk ≠ systematic risk News articles mentioning “systemic risk”, Source: trends.google.com • The risk of disruption to a financial entity with spillovers to the real economy • Risk of a crisis that stresses key intermediation markets and leads to their breakdown, which impacts the broader economy and requires government intervention • Risk that critical nodes of a financial network cease to function as designed, disrupting linkages -> some chain of events that starts or gets magnified in the finance sector and makes us all worse off 9
  • 10. Background • Regulatory response to recent financial crisis was to strengthen macro-prudential supervision with mandates for more regulatory data. • The challenge now is to understand and utilize the data • Analytics based policy and regulation, i.e. the application of computer technology, operations research, and statistics to support decision Katsushika Hokusai. The great wave off making Kanagawa ~1830 10
  • 11. Research • A growing body of empirical research on financial networks from a systemic risk perspective • Interbank payment flows – Soramäki et al (2006), Becher et al. (2008), Boss et al. (2008), Pröpper et al. (2009), Embree and Roberts (2009), Akram and Christophersen (2010) … • Overnight loans networks – Atalay and Bech (2008), Bech and Bonde (2009), Wetherilt et al. (2009), Iori et al. (2008) and Heijmans et al. (2010), Craig & von Peter (2010) … • Flow of funds, Credit registry, Stock trading… – Castren and Kavonius (2009), Bastos e Santos and Cont (2010), Garrett et al. 2011, Minoiu and Reyes (2011), Adamic et al. (2009), Jiang and Zhou (2011) … • More at www.fna.fi/library 11
  • 12. Visualizing Financial Networks Bech, M.L. and Atalay, E. (2008), “The Topology of the Federal Funds Market”. ECB Working Paper No. 986. Italian money market 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 Federal funds Unsecured Sterling 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 Minoiu, Camelia and Reyes, Javier A. (2010). A network analysis of global Cross-border bank lending banking:1978-2009. IMF Working Paper WP/11/74. 12
  • 13. The New York Times, 1 May 2010 Europe's Web of Debt 13
  • 14. BBC, 18 November 2011 Eurozone debt web: Who owes what to whom? 14 http://www.bbc.co.uk/news/business-15748696
  • 15. Example 1: BIS consolidated banking statistics • The Bank for International Settlements (BIS) consolidated banking sector statistics (item 9D), http://www.bis.org/statistics/consstats.htm • Data on banks' on-balance sheet financial claims by country • Provide a measure of the risk exposures of lenders' national banking systems. • Only countries reporting both exposures from and to are included net_id from_id to_id value 2005-1Q Australia Austria 499 2005-1Q Australia Belgium 1135 2005-1Q Australia Canada 1884 2005-1Q Australia Finland 553 2005-1Q Australia France 5028 … 15
  • 16. • ‘Chord diagram’ • Using D3 library based on work on Circos • Implemented in FNA • Link to interactive version 16
  • 17. Centrality • Degree: number of links • Closeness: distance to other nodes via shortest paths • Betweenness: number of shortest paths going through the node • Eigenvector: nodes that are linked by/to other important nodes are more central 17
  • 18. • Network layout • Node size scales with PageRank • Link width scales with value of exposure 18
  • 20. Correlation matrix • Pairwise correlations of 141 assets, 9927 data points 20
  • 21. • Heatmap • Deep blue -> strong negative correlation • Deep red -> strong positive correlation • Link to interactive version 21
  • 22. • We consider only the Maximum Spanning Tree of absolute correlations • 140 unique data points -> links 22
  • 23. Network visualization of correlation tree • Clear clustering of asset classes • Size of nodes scales with their degree centrality • Joint work with Jochen Papenbrock, Firamis UG (Germany) • Link to interactive version 23
  • 24. • Link lengths scale with correlation • Mapping change and time-series • Link to interactive version 24
  • 25. Intelligence Amplification • A solution is to augment human intelligence • Intelligence Amplification vs Artificial Intelligence William Ross Ashby (1956) in ‘Introduction to Cybernetics’ • Technology, products and practices change constantly, market knowledge Game of Go (from China). is essential Computer programs only get to human amateur level due to good • Algorithms don’t fare well in periods of pattern recognition capabilities abrupt change, algorithms do not think needed in the game. outside the box • Data reduction 25
  • 26. Network Theory is to Financial Maps what Cartography is to Geographic Maps 26
  • 27. Network theory and related fields Financial Network Analysis Social Network Network Analysis Science NETWORK THEORY Graph & Matrix Computer Theory Science Biological Network Analysis 27
  • 28. Main premise of network theory: Structure of links between nodes matters • The properties and behavior of a node cannot be analyzed on the basis its own properties and behavior alone. • To understand the behavior of one node, one must analyze the behavior of nodes that may be several links apart in the network. • Financial contexts – Trading networks, payment networks, exposure networks – Networks of interconnected balance sheets – Networks of asset dependencies • Topics: Centrality, Communities, Layouts, Spreading and generation processes, Path finding, etc. 28
  • 29. FNA.fi - Open platform for Financial Network Analysis www.fna.fi – Open platform for Financial Network Analysis Contact: kimmo@soramaki.net Twitter: soramaki Thank you! 29