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Model for Systemic Risk Propagation in Financial Networks Irena - - PowerPoint PPT Presentation

Model for Systemic Risk Propagation in Financial Networks Irena Vodenska Boston University Collaborators: Xuqing Huang Boston Univ., U.S.A. Di Zhou Boston Univ., U.S.A. Shlomo Havlin Bar Ilan Univ., Israel H. Eugene Stanley Boston Univ.,


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Model for Systemic Risk Propagation in Financial Networks

Irena Vodenska Boston University

Collaborators: Xuqing Huang Boston Univ., U.S.A. Di Zhou Boston Univ., U.S.A. Shlomo Havlin Bar‐Ilan Univ., Israel

  • H. Eugene Stanley

Boston Univ., U.S.A. Latsis Symposium 2012, Economics on the Move Trends and Challenges from the Natural Sciences ETH Zurich, Switzerland, September 11 – 14, 2012

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Outline

  • Introduction
  • Bubbles and cascading financial crisis
  • Systemic risk implications
  • Financial networks as complex systems
  • Summary
  • Discussion
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SLIDE 3

Introduction

  • Economic systems are globally interconnected
  • Exogenous or endogenous shocks can provoke

cascading failures

  • Financial systems are susceptible to to sharp

transitions from seemingly stable to irreversibly unstable states

  • Sound policies are necessary to halt cascading

failures or soften their impact

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SLIDE 4

10/9/2012 Data Source: World Bank Global Economic Indicators 4

Market Capitalization of exchange‐listed companies – EU candidates

50 100 150 200 250 1999 2000 2001 2002 2003 2004 2005 2006 2007 2008 2009 2010 2011 Market cap. of listed Co's (% of GDP) Euro Zone Croatia Iceland Macedonia Montenegro Serbia Turkey

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SLIDE 5

What happened to Iceland?

  • In 2001 banks were deregulated
  • By 2007, three major banks in Iceland held foreign debt of over €

50 billion compared to Iceland’s GDP of € 8.5 billion

  • The crisis contributed to the collapse of all three of the country's

major banks following difficulties in debt refinancing and a run

  • n foreign deposits
  • In 2007, The Economist ranked the Icelandic krona as the most
  • vervalued currency in the world
  • The 2008–2012 financial crisis is characterized as a major

economic and political crisis in Iceland

  • Relative to the size of its economy, Iceland’s banking collapse is

the largest suffered by any country in economic history

Sources: Central Bank of Iceland: External Debt, Oct. 21, 2008, The Economist: Cracks in the crust, Dec. 11, 2008, The Financial Times: The big chill, Nov. 15, 2008

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SLIDE 6

Systemic Risk

  • Global financial crisis of 2007‐2012
  • Considered to be the worst crisis since the

Great Depression of the 1930s

  • Propagated value deterioration of most

financial markets around the world

  • Contributed to potential complete collapse of

major financial institutions

  • Involved national governments in bailing out

too‐big‐to‐fail banks

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SLIDE 7

Systemic Risk

  • Adversely affected the housing market and

real estate prices globally

  • Contributed to increased unemployment rates

and prolonged workforce unemployment

  • Significantly reduced consumer wealth and

quenched appetite for spending

  • Contributed to the European sovereign‐debt

crisis

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SLIDE 8
  • In light of the sovereign debt challenges faced

by the Eurozone countries:

– In December 2011, the European Central Bank committed to provide €1 trillion of funds for the European banks for up to three years in attempt to stem the effects of the most recent financial crisis – This injection of liquidity intends to give the European governments three years to make necessary fiscal adjustments – Only time could tell whether this added liquidity into the European banking system will end the European sovereign debt crisis

10/9/2012 8

Systemic Risk

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SLIDE 9
  • Selected Eurozone countries considerably

increased their borrowing to unsustainable central government debt to GDP ratios:

– The Greek and the Irish debt crisis only a wake‐up call for the EU

  • Greek GDP ‐ $300 billion
  • Irish GDP ‐ $200 billion
  • Combined, smaller that the GDP of Pennsylvania.

– Italy and Spain – much larger economies ‐> bigger problems

  • Italy has close to €2 trillion debt outstanding with 50

percent financed externally

  • Spain has over €700 billion of public debt outstanding and

unemployment rate of 22 percent (Federal Reserve Bank of St. Loius, 2011).

10/9/2012 9

Sovereign Debt Crisis

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SLIDE 10

20 40 60 80 100 120 140 160

1990 1995 2000 2005 2010 Government Debt (as % of GDP)

Government Debt for the PIIGS countries, Germany, France and the United States

Greece Italy Portugal United States France Germany Ireland Spain

Data Source: IMF Historical Public Debt Database. Web link: http://www.imf.org/external/pubs/ft/wp/2010/data/wp10245.zip

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SLIDE 11

Financial Institution Network

  • Two channels of bank risk contagion

– Direct interbank liability linkages (focus is on credit risk and loss propagation via the complex network of direct counterpart exposures) – Contagion via reduction in bank asset value (focus is on financial shocks to specific bank assets that contribute to asset value deterioration which adversely affect other banks with similar asset structures)

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SLIDE 12

Definitions, parameters and data

  • Initial shock to the banking system by reducing

(1‐p) of the value for specific asset

  • Magnitude (α) of overall market value damage for

specific asset that spreads throughout the banking network

  • Distress barrier (total assets/total liabilities)
  • Randomness factor (r) – uniformly distributed

random number in range [0, η] used to adjust the distress barrier (assets/liabilities < 1‐r)

  • US CB‐BS database from 1976 to 2008
  • US FBL‐FDIC database from 2008 to 2011
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Bipartite network model for systemic risk propagation

  • Analyze the properties of the defaulted vs.

survived banks during the 2007‐12 financial crisis

  • Study cascading failure of banks to show that the

complex network method captures important features of the financial system

  • Examine banks’ balance sheets to assess current

stability of the financial system and attempt to forecast future network behavior

  • Test the model using 2007 data from the FDIC

failed bank list

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SLIDE 14

Bank‐Asset Bipartite Network

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SLIDE 15

Distributions of typical bank assets

0.2 0.4 0.6 0.8

Weight of Loans for construction and land development

2 4 6 8 Probability Density Function (PDF) all banks failed banks 0.2 0.4 0.6 0.8 1 Weight of Loans Secured by 1-4 family resid. properties 1 2 3 4 5 6 Probability Density Funciton (PDF) all banks failed banks 0.2 0.4 0.6 0.8

Weight of Loans Secured by nonfarm nonresidential properties

1 2 3 4 5 Probability Density Function (PDF) all banks failed banks 0.1 0.2 0.3 0.4 0.5

Weight of Agricultural Loans

5 10 15 20 Probability Density Function (PDF) all banks failed banks

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Distribution of leverage (equity/assets) ratios

0.2 0.4 (value of equity)/ (value of total assets) 5 10 15 20 Probability Density Function (PDF) all banks failed banks

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SLIDE 17

Fraction of survived banks after cascading failures

0.2 0.4 0.6 0.8 1 p 0.2 0.4 0.6 0.8 1 fraction of survived banks 0.2 0.4 0.6 0.8 1 p 0.2 0.4 0.6 0.8 1 fraction of survived banks 0.2 0.4 0.6 0.8 1 p 0.2 0.4 0.6 0.8 1 fraction of survived banks 0.2 0.4 0.6 0.8 1 p 0.2 0.4 0.6 0.8 1 fraction of survived banks Banks on the FDIC Failed bank list All banks

Loans for construction and land development Loans secured by 1‐4 fam. resid. properties Loans secured by nonfarm nonresid. properties Agricultural loans

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ROC curves of bank failure prediction

0.2 0.4 0.6 0.8 1 0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.8 0.9 1

False Positive True Positive 2007, asset:0;allsteps

50 100 150 200

0.2 0.4 0.6 0.8 1 0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.8 0.9 1

False Positive True Positive 2007, asset:0;firststeps

50 100 150 200

0.2 0.4 0.6 0.8 1 0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.8 0.9 1

False Positive True Positive 2007, asset:0;othersteps

50 100 150 200

(0.14, 0.26, 0.6) (0.38, 0.02, 0.65) (0.24, 0.02, 0.55) (0.2, 0.06, 0.45)

(α, η, p) 50 100 150 200 250 number of banks identified through the first step number of failed banks identified through other steps

totally 287 banks fail since 2007

Loans for construction and land development

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SLIDE 19

ROC curves of bank failure prediction

0.2 0.4 0.6 0.8 1 0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.8 0.9 1

False Positive True Positive 2007, asset:4;allsteps

50 100 150 200 250

0.2 0.4 0.6 0.8 1 0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.8 0.9 1

False Positive True Positive 2007, asset:4;firststeps

50 100 150 200 250

0.2 0.4 0.6 0.8 1 0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.8 0.9 1

False Positive True Positive 2007, asset:4;othersteps

50 100 150 200 250

(0.65, 0, 0.8) (0.25, 0.25, 0.7) (0.15, 0.2, 0.65) (0.05, 0, 0.6) 50 100 150 num of failed banks indentified through the first step num of failed banks identified throught the other steps

Loans secured by nonfarm nonresid. properties

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ROC curves of bank failure prediction for assets that do not have major contribution in bank failures

0.2 0.4 0.6 0.8 1 0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.8 0.9 1

False Positive True Positive 2007, asset:2;allsteps

50 100 150 200 250

0.2 0.4 0.6 0.8 1 0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.8 0.9 1

False Positive True Positive 2007, asset:5;allsteps

50 100 150 200 250

Loans secured by 1‐4 fam. resid. properties Agricultural loans

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Survival rate of banks when specific asset is initially shocked as function of one parameter

0.2 0.4 0.6 0.8 1 α 0.2 0.4 0.6 0.8 1 fraction of survived banks η=0.2, p=0.6 0.1 0.2 0.3 0.4 0.5 η 0.2 0.4 0.6 0.8 fraction of survived banks α=0.35, p=0.6 0.2 0.4 0.6 0.8 1 p 0.2 0.4 0.6 0.8 1 fraction of survived banks α=0.35, η=0.2

Test asset ‐ Loans for construction and land development

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Summary

  • Financial and economic systems are highly

interdependent and fragile

  • Bank network (banks own sovereign debt)
  • Sovereign debt levels (value affects bank worth)
  • Financial markets (banks and national debt are

traded on securities markets)

  • Currency dynamics (responds to economic

dynamics by appreciating or depreciating)

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Discussion

  • We study systemic risk propagation through

interdependent financial networks

  • Focus on the challenges of financial and

economic system dynamics as strongly related networks

  • How to transform global economic networks into

more resilient systems to shocks?

  • Do crisis have common ingredients?
  • Can we apply proposed methods and models

universally?

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Thank You!

10/9/2012 24

Questions?