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Financial Network
Systemic Risk
Contributions
SYstemic Risk TOmography:
Signals, Measurements, Transmission Channels, and
Policy Interventions
Nikolaus Hautsch - University of Vienna
Julia Schaumburg - VU University Amsterdam, Tinbergen Institute
Melanie Schienle - Leibniz Universität Hannover
!
CFE - 7th International Conference on Computational and Financial Econometrics
London, December 14-16, 2013
Financial Network Systemic Risk Contributions
Nikolaus Hautsch
University of Vienna
Julia Schaumburg
VU University Amsterdam, Tinbergen Institute
Melanie Schienle
Leibniz Universit¨at Hannover
Introduction 2
Systemic Risk
Systemic risk: Breakdown risk of the financial system induced by
the interdependence of its constituents.
In crisis times, banks face
liquidity shortage, undercapitalisation;
leading to
fire-sales, hoarding;
⇒ further enhanced by pro-cyclicality of capital
requirements.
Consequences of interdependence:
Spillovers of risks
Co-movements of losses
=⇒ Systemic risk network
Financial Network Systemic Risk Contributions
Introduction 3
Network-based systemic risk assessment
Before the financial crisis 2007–2009, systemic risk was neglected by
regulation authorities.
Hellwig (2009), p. 134:
“Regulatory reform must [...] address the risks generated by [...]
interdependence and by the lack of transparency about systemic
risk exposure.”
Need for a transparent measure for systemic risk that takes
interdependence (risk spillovers) into account.
Financial Network Systemic Risk Contributions
Introduction 4
Here: VaR-Based Systemic Risk Contributions
Objective: Individual banks’ contributions to system tail risk: ”stress
test”-type analysis given publicly available data
Time-varying Value at Risk (VaR) conditional on observations of V
Pr(Xt ≤ qp,t(Xt)) = Pr(−Xt ≥ VaRp,t) = p,
where qp,t(Xt) = qp(Xt|V = Vt) is the pth cond. return quantile.
Estimation of a time-varying reduced form relation in quantiles
VaRs
q,t = gt(VaRi
p,t) = g(VaRi
p,t, Bt)
given control variables Bt and VaRi
p,t = VaRi
p(Wt).
Time-varying systemic risk contribution
∂VaRs
q,t
∂VaRi
p,t
=
∂gt(.)
∂VaRi
p,t
=: β
s|i
t
Financial Network Systemic Risk Contributions
Introduction 5
Our approach
Step 0 Selection of relevant tail risk drivers for each firm i:
LASSO for quantiles
other companies’ tail risk
macro environment
individual characteristics
Step 1 Estimation of VaRi : post-LASSO quantile regression
Step 2 Measuring each i’s time-varying contribution to
system risk: VaRs as function of VaRi
control variables: selected companies’ VaRj s
(from Step 0), macro environment
test of significance of VaRi for VaRs
Financial Network Systemic Risk Contributions
Introduction 6
Contribution
Identification of tail risk cross-linkages between financial
companies (Systemic risk network)
Estimation of and inference for two-stage quantile regression
model
Identification of systemically relevant companies and
quantification of systemic risk contributions
Time-varying systemic risk rankings
Financial Network Systemic Risk Contributions
Network 7
U.S. network of risk spillovers
Financial Network Systemic Risk Contributions
Systemic risk betas 8
Systemic risk ranking during the crisis (June 08)
Rank Name β
s|i
2008 · 102
β
s|i
2008 VaR
i
2008
1 BANK OF AMERICA 2.86∗
0.186 0.154
2 AMERICAN EXPRESS 2.78∗
0.278 0.100
3 WELLS FARGO & CO 2.51∗
0.186 0.135
4 MARSHALL & ILSLEY 2.31∗
0.516 0.045
5 JP MORGAN CHASE & CO. 2.22 0.265 0.084
6 PROGRESSIVE OHIO 1.97∗
0.380 0.052
7 LEGG MASON 1.96∗
0.137 0.143
8 REGIONS FINANCIAL 1.86∗
0.107 0.173
9 MARSH & MCLENNAN 1.76∗
0.471 0.037
10 STATE STREET 1.44∗
0.171 0.084
11 NY.CMTY.BANC. 1.12 0.090 0.125
12 PNC FINANCIAL SVS. GP 1.09∗
0.153 0.071
13 CHUBB 1.07∗
0.176 0.061
14 TORCHMARK 1.00∗
0.177 0.057
15 CHARLES SCHWAB 0.91∗
0.149 0.060
16 CITIGROUP 0.90∗
0.072 0.124
17 MORGAN STANLEY 0.61∗
0.074 0.083
18 ZIONS BANCORP. 0.58∗
0.058 0.100
19 UNUM GROUP 0.34∗
0.033 0.104
20 UNION PACIFIC 0.27∗
0.047 0.056
21 HARTFORD FINL.SVS.GP. 0.24∗
0.012 0.201
22 FRANKLIN RESOURCES 0.17∗
0.026 0.064
23 T ROWE PRICE GP. 0.01∗
0.001 0.102
Financial Network Systemic Risk Contributions
Case study 9
Pre-crisis case study
Excluding the financial crisis time period, can we infer companies’
developments from our method?
Repeat entire estimation and testing procedure using only
data until June 2007
Focus on companies that were affected by the crisis: AIG,
Freddie Mac, Lehman Brothers, Merrill Lynch
⇒ Results are reasonable with respect to systemic riskiness and
tail risk dependencies.
Financial Network Systemic Risk Contributions
Conclusion 10
Conclusions
Transparent risk measure accounting for tail risk dependencies.
Approach provides complementing qualitative (tail risk
network) and quantitative (systemic risk ranking) information
on the U.S. financial sector.
Although direct backtesting is not possible, plausibility checks
suggest that the method works.
Measure may be extended in several ways.
Financial Network Systemic Risk Contributions
This project is funded by
the European Union under the
7th Framework Programme (FP7-SSH/2007-2013)
Grant Agreement n°320270
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www.syrtoproject.eu
This document reflects only the author’s views. The European Union is not liable for any use that may be made of the information contained therein.

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Financial Network Systemic Risk Contributions - Hautsch, Schaumburg, Schienle - 14-16 December 2013

  • 1. Financial Network Systemic Risk Contributions SYstemic Risk TOmography: Signals, Measurements, Transmission Channels, and Policy Interventions Nikolaus Hautsch - University of Vienna Julia Schaumburg - VU University Amsterdam, Tinbergen Institute Melanie Schienle - Leibniz Universität Hannover ! CFE - 7th International Conference on Computational and Financial Econometrics London, December 14-16, 2013
  • 2. Financial Network Systemic Risk Contributions Nikolaus Hautsch University of Vienna Julia Schaumburg VU University Amsterdam, Tinbergen Institute Melanie Schienle Leibniz Universit¨at Hannover
  • 3. Introduction 2 Systemic Risk Systemic risk: Breakdown risk of the financial system induced by the interdependence of its constituents. In crisis times, banks face liquidity shortage, undercapitalisation; leading to fire-sales, hoarding; ⇒ further enhanced by pro-cyclicality of capital requirements. Consequences of interdependence: Spillovers of risks Co-movements of losses =⇒ Systemic risk network Financial Network Systemic Risk Contributions
  • 4. Introduction 3 Network-based systemic risk assessment Before the financial crisis 2007–2009, systemic risk was neglected by regulation authorities. Hellwig (2009), p. 134: “Regulatory reform must [...] address the risks generated by [...] interdependence and by the lack of transparency about systemic risk exposure.” Need for a transparent measure for systemic risk that takes interdependence (risk spillovers) into account. Financial Network Systemic Risk Contributions
  • 5. Introduction 4 Here: VaR-Based Systemic Risk Contributions Objective: Individual banks’ contributions to system tail risk: ”stress test”-type analysis given publicly available data Time-varying Value at Risk (VaR) conditional on observations of V Pr(Xt ≤ qp,t(Xt)) = Pr(−Xt ≥ VaRp,t) = p, where qp,t(Xt) = qp(Xt|V = Vt) is the pth cond. return quantile. Estimation of a time-varying reduced form relation in quantiles VaRs q,t = gt(VaRi p,t) = g(VaRi p,t, Bt) given control variables Bt and VaRi p,t = VaRi p(Wt). Time-varying systemic risk contribution ∂VaRs q,t ∂VaRi p,t = ∂gt(.) ∂VaRi p,t =: β s|i t Financial Network Systemic Risk Contributions
  • 6. Introduction 5 Our approach Step 0 Selection of relevant tail risk drivers for each firm i: LASSO for quantiles other companies’ tail risk macro environment individual characteristics Step 1 Estimation of VaRi : post-LASSO quantile regression Step 2 Measuring each i’s time-varying contribution to system risk: VaRs as function of VaRi control variables: selected companies’ VaRj s (from Step 0), macro environment test of significance of VaRi for VaRs Financial Network Systemic Risk Contributions
  • 7. Introduction 6 Contribution Identification of tail risk cross-linkages between financial companies (Systemic risk network) Estimation of and inference for two-stage quantile regression model Identification of systemically relevant companies and quantification of systemic risk contributions Time-varying systemic risk rankings Financial Network Systemic Risk Contributions
  • 8. Network 7 U.S. network of risk spillovers Financial Network Systemic Risk Contributions
  • 9. Systemic risk betas 8 Systemic risk ranking during the crisis (June 08) Rank Name β s|i 2008 · 102 β s|i 2008 VaR i 2008 1 BANK OF AMERICA 2.86∗ 0.186 0.154 2 AMERICAN EXPRESS 2.78∗ 0.278 0.100 3 WELLS FARGO & CO 2.51∗ 0.186 0.135 4 MARSHALL & ILSLEY 2.31∗ 0.516 0.045 5 JP MORGAN CHASE & CO. 2.22 0.265 0.084 6 PROGRESSIVE OHIO 1.97∗ 0.380 0.052 7 LEGG MASON 1.96∗ 0.137 0.143 8 REGIONS FINANCIAL 1.86∗ 0.107 0.173 9 MARSH & MCLENNAN 1.76∗ 0.471 0.037 10 STATE STREET 1.44∗ 0.171 0.084 11 NY.CMTY.BANC. 1.12 0.090 0.125 12 PNC FINANCIAL SVS. GP 1.09∗ 0.153 0.071 13 CHUBB 1.07∗ 0.176 0.061 14 TORCHMARK 1.00∗ 0.177 0.057 15 CHARLES SCHWAB 0.91∗ 0.149 0.060 16 CITIGROUP 0.90∗ 0.072 0.124 17 MORGAN STANLEY 0.61∗ 0.074 0.083 18 ZIONS BANCORP. 0.58∗ 0.058 0.100 19 UNUM GROUP 0.34∗ 0.033 0.104 20 UNION PACIFIC 0.27∗ 0.047 0.056 21 HARTFORD FINL.SVS.GP. 0.24∗ 0.012 0.201 22 FRANKLIN RESOURCES 0.17∗ 0.026 0.064 23 T ROWE PRICE GP. 0.01∗ 0.001 0.102 Financial Network Systemic Risk Contributions
  • 10. Case study 9 Pre-crisis case study Excluding the financial crisis time period, can we infer companies’ developments from our method? Repeat entire estimation and testing procedure using only data until June 2007 Focus on companies that were affected by the crisis: AIG, Freddie Mac, Lehman Brothers, Merrill Lynch ⇒ Results are reasonable with respect to systemic riskiness and tail risk dependencies. Financial Network Systemic Risk Contributions
  • 11. Conclusion 10 Conclusions Transparent risk measure accounting for tail risk dependencies. Approach provides complementing qualitative (tail risk network) and quantitative (systemic risk ranking) information on the U.S. financial sector. Although direct backtesting is not possible, plausibility checks suggest that the method works. Measure may be extended in several ways. Financial Network Systemic Risk Contributions
  • 12. This project is funded by the European Union under the 7th Framework Programme (FP7-SSH/2007-2013) Grant Agreement n°320270 ! ! ! ! ! ! ! www.syrtoproject.eu This document reflects only the author’s views. The European Union is not liable for any use that may be made of the information contained therein.