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Systemic risk contributions: a credit portfolio approach

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  • Düllmann, Klaus
  • Puzanova, Natalia

Abstract

We put forward a Merton-type multi-factor portfolio model for assessing banks' contributions to systemic risk. This model accounts for the major drivers of banks' systemic relevance: size, default risk and correlation of banks' assets as a proxy for interconnectedness. We measure systemic risk in terms of the portfolio expected shortfall (ES). Banks' (marginal) risk contributions are calculated based on partial derivatives of the ES in order to ensure a full risk allocation among institutions. We compare the performance of an importance sampling algorithm with a fast analytical approximation of the ES and the marginal risk contributions. Furthermore, we show empirically for a portfolio of large international banks how our approach could be implemented to compute bank-specific capital surcharges for systemic risk or stabilisation fees. We find that size alone is not a reliable proxy for the systemic importance of a bank in this framework. In order to smooth cyclical fluctuations of the risk measure, we explore a time-varying confidence level of the ES.

Suggested Citation

  • Düllmann, Klaus & Puzanova, Natalia, 2011. "Systemic risk contributions: a credit portfolio approach," Discussion Paper Series 2: Banking and Financial Studies 2011,08, Deutsche Bundesbank.
  • Handle: RePEc:zbw:bubdp2:201108
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    References listed on IDEAS

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    1. Puzanova, Natalia & Düllmann, Klaus, 2013. "Systemic risk contributions: A credit portfolio approach," Journal of Banking & Finance, Elsevier, vol. 37(4), pages 1243-1257.
    2. Claudio Borio, 2011. "Implementing the Macroprudential Approach to Financial Regulation and Supervision," Chapters, in: Christopher J. Green & Eric J. Pentecost & Tom Weyman-Jones (ed.), The Financial Crisis and the Regulation of Finance, chapter 7, Edward Elgar Publishing.
    3. Michael Boss & Gerald Krenn & Claus Puhr & Martin Summer, 2006. "Systemic Risk Monitor: A Model for Systemic Risk Analysis and Stress Testing of Banking Systems," Financial Stability Report, Oesterreichische Nationalbank (Austrian Central Bank), issue 11, pages 83-95.
    4. Viral V. Acharya & Lasse H. Pedersen & Thomas Philippon & Matthew Richardson, 2017. "Measuring Systemic Risk," Review of Financial Studies, Society for Financial Studies, vol. 30(1), pages 2-47.
    5. De Bandt, Olivier & Hartmann, Philipp, 2000. "Systemic risk: A survey," Working Paper Series 35, European Central Bank.
    6. Upper, Christian & Worms, Andreas, 2004. "Estimating bilateral exposures in the German interbank market: Is there a danger of contagion?," European Economic Review, Elsevier, vol. 48(4), pages 827-849, August.
    7. Huang, Xin & Zhou, Hao & Zhu, Haibin, 2009. "A framework for assessing the systemic risk of major financial institutions," Journal of Banking & Finance, Elsevier, vol. 33(11), pages 2036-2049, November.
    8. Charles Goodhart & Miguel Segoviano, 2009. "Banking Stability Measures," FMG Discussion Papers dp627, Financial Markets Group.
    9. Gauthier, Céline & Lehar, Alfred & Souissi, Moez, 2012. "Macroprudential capital requirements and systemic risk," Journal of Financial Intermediation, Elsevier, vol. 21(4), pages 594-618.
    10. Michael Kalkbrener, 2005. "An Axiomatic Approach To Capital Allocation," Mathematical Finance, Wiley Blackwell, vol. 15(3), pages 425-437, July.
    11. Merton, Robert C, 1974. "On the Pricing of Corporate Debt: The Risk Structure of Interest Rates," Journal of Finance, American Finance Association, vol. 29(2), pages 449-470, May.
    12. Helmut Elsinger & Alfred Lehar & Martin Summer, 2006. "Risk Assessment for Banking Systems," Management Science, INFORMS, vol. 52(9), pages 1301-1314, September.
    13. Gordy, Michael B., 2003. "A risk-factor model foundation for ratings-based bank capital rules," Journal of Financial Intermediation, Elsevier, vol. 12(3), pages 199-232, July.
    14. Mistrulli, Paolo Emilio, 2011. "Assessing financial contagion in the interbank market: Maximum entropy versus observed interbank lending patterns," Journal of Banking & Finance, Elsevier, vol. 35(5), pages 1114-1127, May.
    15. Helmut Elsinger & Alfred Lehar & Martin Summer, 2006. "Using Market Information for Banking System Risk Assessment," International Journal of Central Banking, International Journal of Central Banking, vol. 2(1), March.
    16. James, Christopher, 1991. "The Losses Realized in Bank Failures," Journal of Finance, American Finance Association, vol. 46(4), pages 1223-1242, September.
    17. Lehar, Alfred, 2005. "Measuring systemic risk: A risk management approach," Journal of Banking & Finance, Elsevier, vol. 29(10), pages 2577-2603, October.
    18. Hans Degryse & Grégory Nguyen, 2007. "Interbank Exposures: An Empirical Examination of Contagion Risk in the Belgian Banking System," International Journal of Central Banking, International Journal of Central Banking, vol. 3(2), pages 123-171, June.
    19. Acerbi, Carlo & Tasche, Dirk, 2002. "On the coherence of expected shortfall," Journal of Banking & Finance, Elsevier, vol. 26(7), pages 1487-1503, July.
    20. Nikola Tarashev & Claudio Borio & Kostas Tsatsaronis, 2010. "Attributing systemic risk to individual institutions," BIS Working Papers 308, Bank for International Settlements.
    21. Gianni De Nicolo & Myron L. Kwast, 2002. "Systemic Risk and Financial Consolidation; Are they Related?," IMF Working Papers 02/55, International Monetary Fund.
    22. Paul Glasserman & Jingyi Li, 2005. "Importance Sampling for Portfolio Credit Risk," Management Science, INFORMS, vol. 51(11), pages 1643-1656, November.
    23. Nier, Erlend & Yang, Jing & Yorulmazer, Tanju & Alentorn, Amadeo, 2007. "Network models and financial stability," Journal of Economic Dynamics and Control, Elsevier, vol. 31(6), pages 2033-2060, June.
    24. Segoviano, Miguel A. & Goodhart, Charles, 2009. "Banking stability measures," LSE Research Online Documents on Economics 24416, London School of Economics and Political Science, LSE Library.
    25. Bartram, Sohnke M. & Brown, Gregory W. & Hund, John E., 2007. "Estimating systemic risk in the international financial system," Journal of Financial Economics, Elsevier, vol. 86(3), pages 835-869, December.
    26. Susanne Emmer & Dirk Tasche, 2003. "Calculating credit risk capital charges with the one-factor model," Papers cond-mat/0302402, arXiv.org, revised Jan 2005.
    27. De Nicolo, Gianni & Kwast, Myron L., 2002. "Systemic risk and financial consolidation: Are they related?," Journal of Banking & Finance, Elsevier, vol. 26(5), pages 861-880, May.
    28. Dirk Tasche, 2007. "Capital Allocation to Business Units and Sub-Portfolios: the Euler Principle," Papers 0708.2542, arXiv.org, revised Jun 2008.
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    More about this item

    Keywords

    systemic risk contributions; systemic capital charge; expected shortfall; importance sampling; granularity adjustment;
    All these keywords.

    JEL classification:

    • C15 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods and Methodology: General - - - Statistical Simulation Methods: General
    • C63 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling - - - Computational Techniques
    • E58 - Macroeconomics and Monetary Economics - - Monetary Policy, Central Banking, and the Supply of Money and Credit - - - Central Banks and Their Policies
    • G01 - Financial Economics - - General - - - Financial Crises
    • G21 - Financial Economics - - Financial Institutions and Services - - - Banks; Other Depository Institutions; Micro Finance Institutions; Mortgages

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