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Application of the Merton model to estimate the probability of breaching the capital requirements under Basel III rules

  • Vincenzo Russo
  • Valentina Lagasio
  • Marina BrogiEmail author
  • Frank J. Fabozzi
Research Article
  • 10 Downloads

Abstract

In this paper, we estimate the probability of a financial institution breaching the Common Equity Tier 1 capital under Basel III rules. We do so by applying the Merton model, where balance sheet data and market data are used to match the probability of default implied by the model with the probability of default implied by market quotations for credit default swaps. We provide an empirical analysis for several banks classified by the Financial Stability Board and the Basel Committee on Banking Supervision as Global Systemically Important Financial Institutions, evaluating how the probability of breaching the Common Equity Tier 1 Capital evolved from 2005 to 2015. We find that higher Common Equity Tier 1 Capital ratios do not necessarily imply lower probabilities of breaching capital requirements and vice versa. We also focus on the asset volatility calibrated according to our model and we find that it appears to be a good proxy for the risk-weighted asset density.

Keywords

Probability of breaching Basel III rules Merton model Credit default swap Global Systemically Important Financial Institutions 

JEL Classification

G21 G28 

Notes

References

  1. Acharya, V., Engle, R., Pierret, D.: Testing macroprudential stress tests: the risk of regulatory risk weights. J Monet Econ 65, 36–53 (2014)CrossRefGoogle Scholar
  2. Acharya, V., Steffen, S.: The “greatest” carry trade ever? Understanding Eurozone bank risks. J Financ Econ 115, 215–236 (2015)CrossRefGoogle Scholar
  3. Alexander, G.J., Alexandre, M.B., Shu, Y.: Bank regulation and international financial stability: a case against the 2006 Basel framework for controlling tail risk in trading books. J Int Money Finance 43, 107–130 (2014)CrossRefGoogle Scholar
  4. Barucci, E., Milani, C.: Do European banks manipulate risk weights? Int Rev Financ Anal 59, 47–57 (2018)CrossRefGoogle Scholar
  5. Basel Committee on Banking Supervision: Basel III: a global regulatory framework for more resilient banks and banking systems—revised version. https://www.bis.org/publ/bcbs189.pdf (2011). Accessed 18 Dec 2019
  6. Beltratti, A., Stultz, R.M.: The credit crisis around the globe: why did some banks perform better? J Financ Econ 105(1), 1–17 (2012)CrossRefGoogle Scholar
  7. Bevilacqua, M., Cannata, F., Cardarelli, S., Cristiano, R.A., Gallina, S., Petronzi, M.: The evolution of the Pillar 2 framework for banks: some thoughts after the financial crisis, Banca d’Italia, QEF n. 494 (2019)Google Scholar
  8. Black, F., Scholes, M.: The pricing of options and corporate liabilities. J Polit Econ 81, 637–654 (1973)CrossRefGoogle Scholar
  9. Brogi, M., Lagasio, V.: Sliced and diced: European banks’ business models and profitability. In: Bracchi, G., Filotto, U., Masciandaro, D. (eds.) The Italian banks: Which will be the New Normal Industrial, Institutional and Behavioural Economics, 2016 Report on the Italian Financial System, pp. 55–88. Milan: Fondazione Rosselli, Edibank (2016)Google Scholar
  10. Chiaramonte, L., Casu, B.: Capital and liquidity ratios and financial distress. Evidence from the European banking industry. Br Account Rev 49, 138–161 (2017)CrossRefGoogle Scholar
  11. Crosbie, P., Bohn J.: Modeling default risk. Working Paper KMV Corp. (2002)Google Scholar
  12. Demirgüç-Kunt, A., Detragiache, E., Merrouche, O.: Bank capital: lessons from the financial crisis. J Money Credit Bank 45, 1147–1164 (2013)CrossRefGoogle Scholar
  13. De Spiegeleer, J., Höcht, S., Marquet, I., Schoutens, W.: CoCo bonds and implied CET1 volatility. Quant Finance 17(6), 813–824 (2016)CrossRefGoogle Scholar
  14. Dermine, J.: Bank regulations after the global financial crisis: good intentions and unintended evil. Eur Financ Manag 19(4), 658–674 (2013)CrossRefGoogle Scholar
  15. European Central Bank: SSM SREP Methodology Booklet—2018 edition. https://www.bankingsupervision.europa.eu/banking/srep/srep_2018/html/index.en.html (2019). Accessed 18 December 2019
  16. European Parliament: Upgrading the Basel standards: from Basel III to Basel IV? http://www.europarl.europa.eu/thinktank/en/document.html?reference=IPOL_BRI(2016)587361 (2016). Accessed 18 December 2019
  17. Hong, H., Huang, J.-Z., Wu, D.: The information content of Basel III liquidity risk measures. J Financ Stab 15, 91–111 (2014)CrossRefGoogle Scholar
  18. Liberadzki, M., Liberadzki, K.: The Contingent convertibles pricing models: CoCos credit spread analysis. In: Liberadzki, M., Liberadzki, K. (eds.) Contingent Convertible Bonds, Corporate Hybrid Securities and Preferred Shares, pp. 123–148. Cham: Palgrave Macmillan (2019)CrossRefGoogle Scholar
  19. Lindquist, K.G.: Banks’ buffer capital: how important is risk. J Int Money Finance 23, 493–513 (2004)CrossRefGoogle Scholar
  20. Mayes, D.G., Stremmel, H.: The effectiveness of capital adequacy measures in predicting bank distress, Chapters in SUERF Studies, SUERF—The European Money and Finance Forum (2014)Google Scholar
  21. Merton, R.C.: On the pricing of corporate debt: the risk structure of interest rates. J Finance 29, 449–470 (1974)Google Scholar
  22. Morkoetter, S., Schaller, M., Westerfeld, S.: The liquidity dynamics of bank defaults. Eur Financ Manag 20, 291–320 (2014)CrossRefGoogle Scholar
  23. Vallascas, F., Hagendorff, J.: The risk sensitivity of capital requirements: evidence from an international sample of large banks. Rev Finance 17, 1947–1988 (2013)CrossRefGoogle Scholar
  24. Vazquez, F., Federico, P.: Bank funding structures and risk: evidence from the global financial crisis. J Bank Finance 61, 1–14 (2015)CrossRefGoogle Scholar

Copyright information

© Springer-Verlag GmbH Germany, part of Springer Nature 2020

Authors and Affiliations

  1. 1.Group Risk ManagementAssicurazioni Generali S.p.A.MilanItaly
  2. 2.Department of ManagementUniversity of Rome “La Sapienza”RomeItaly
  3. 3.EDHEC Business SchoolNiceFrance

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