Conditional coverage and its role in determining and assessing long-term capital requirements

  1. Ferrer Pérez, Alejandro
  2. Casals Carro, José
  3. Sotoca López, Sonia
Revista:
Documentos de Trabajo (ICAE)

ISSN: 2341-2356

Año de publicación: 2014

Número: 12

Páginas: 1-12

Tipo: Documento de Trabajo

Otras publicaciones en: Documentos de Trabajo (ICAE)

Resumen

We define the vector of conditional coverage values generated over the business cycle by a constant capital figure. Using a convenient analytical framework, we explore its properties and propose two applications based on it. For the former, we state a result that links the concepts of conditional and unconditional solvency and offers an alternative interpretation of the unconditional capital. For the latter, we propose using the minimum of the conditional coverage vector in the determination of long-term capital requirements, as well as using its minimum and its standard deviation in the long-term assessment of a given capital figure. Both applications are illustrated empirically. The entire analysis can be understood as an attempt to recognize and incorporate capital cyclicality into the measurement and analysis of default risk.

Referencias bibliográficas

  • Ayuso, J., Pérez, D., Saurina, J., 2004. Are capital buffers procyclical? Evidence from spanish panel data. Journal of Financial Intermediation 13 (2), 249–264.
  • BCBS, 2006. Basel II: International convergence of capital measurement and capital standards - revised version. Bank for International Settlements.
  • BCBS, 2011. Basel III: A global regulatory framework for more resilient banks and banking systems - revised version. Bank for International Settlements.
  • BCBS, 2013. Basel III: International framework for liquidity risk measurement, standards and monitoring - revised version. Bank for International Settlements.
  • Carey, M., 2002. A guide to choosing absolute bank capital requirements. Journal of Banking & Finance 26 (5), 929–951.
  • Drumond, I., 2009. Bank capital requirements, business cycle fluctuations and the Basel accords: A synthesis. Journal of Economic Surveys 23 (5), 798–830.
  • Duffie, D., Saita, L., Wang, K., 2007. Multi-period corporate default prediction with stochastic covariates. Journal of Financial Economics 83 (3), 635–665.
  • Elizalde, A., Repullo, R., 2007. Economic and regulatory capital in banking: What is the difference? International Journal of Central Banking 3 (3), 87–117.
  • Estrella, A., 2004. The cyclical behavior of optimal bank capital. Journal of Banking & Finance 28 (6), 1469–1498.
  • Ferrer, A., Casals, J., Sotoca, S., 2014. A new approach to the unconditional measurement of default risk. ICAE Working Papers.
  • Festic, M., Kavkler, A., Repina, S., 2011. The macroeconomic sources of systemic risk in the banking sectors of five new E.U. member states. Journal of Banking & Finance 35 (2), 310–322.
  • Foglia, A., 2009. Stress testing credit risk: A survey of authorities’ approaches. International Journal of Central Banking 5 (3), 9–46.
  • Frey, R., McNeil, A., 2003. Dependent defaults in models of portfolio credit risk. The Journal of Risk 6, 59–92.
  • Glasserman, P., 2004. Tail approximations for portfolio credit risk. The Journal of Derivatives 12 (2), 24–42.
  • Glasserman, P., Kang, W., Shahabuddin, P., 2008. Fast simulation of multifactor portfolio credit risk. Operations Research 56 (5), 1200–1217.
  • Gordy, M., 2000. A comparative anatomy of credit risk models. Journal of Banking & Finance 24 (1-2), 119–149.
  • Gordy, M., 2003. A risk-factor model foundation for ratings-based bank capital rules. Journal of Financial Intermediation 12 (3), 199–232.
  • Gordy, M., Howells, B., 2006. Procyclicality in Basel II: Can we treat the disease without killing the patient? Journal of Financial Intermediation 15 (3), 395–417.
  • Heid, F., 2007. The cyclical effects of the Basel II capital requirements. Journal of Banking & Finance 31 (12), 3885–3900.
  • Jiménez, G., Mencía, J., 2009. Modelling the distribution of credit losses with observable and latent factors. Journal of Empirical Finance 16 (2), 235–253.
  • Jokipii, T., Milne, A., 2008. The cyclical behaviour of european bank capital buffers. Journal of Banking & Finance 32 (8), 1440–1451.
  • Kashyap, A. K., Stein, J. C., 2004. Cyclical implications of the Basel II capital standards. Economic Perspectives-Federal Reserve Bank Of Chicago 28 (1), 18–33.
  • Koopman, S., Lucas, A., Klaassen, P., 2005. Empirical credit cycles and capital buffer formation. Journal of Banking & Finance 29 (12), 3159–3179.
  • McLachlan, G., Peel, D., 2000. Finite mixture models. Wiley-Interscience.
  • Pesaran, M., Schuermann, T., Treutler, B., Weiner, S., 2006. Macroeconomic dynamics and credit risk: a global perspective. Journal of Money, Credit, and Banking 38 (5), 1211–1261.
  • Peura, S., Jokivuolle, E., 2004. Simulation based stress tests of banks’ regulatory capital adequacy. Journal of Banking & Finance 28 (8), 1801–1824.
  • Repullo, R., 2013. Cyclical adjustment of capital requirements: A simple framework. Journal of Financial Intermediation 22 (4), 608–626.
  • Repullo, R., Saurina, J., Trucharte, C., 2010. Mitigating the procyclicality of Basel II. Economic Policy 25 (64), 659–702.
  • Rösch, D., Scheule, H., 2010. Downturn credit portfolio risk, regulatory capital and prudential incentives. International Review of Finance 10 (2), 185–207.
  • S&P, March 2012. 2011 annual global corporate default study and rating transitions. Standard & Poor’s Global Fixed Income Research.
  • Sorge, M., Virolainen, K., 2006. A comparative analysis of macro stress-testing methodologies with application to Finland. Journal of Financial Stability 2 (2), 113–151.
  • Truck, S., Rachev, S. T., 2005. Credit portfolio risk and probability of default confidence sets through the business cycle. The Journal of Credit Risk 1 (4), 61–88.
  • Varotto, S., 2012. Stress testing credit risk: The great depression scenario. Journal of Banking & Finance 36 (12), 3133–3149.
  • Vasicek, O., 2002. The distribution of loan portfolio value. Risk 15 (12), 160–162.
  • Zhu, H., 2008. Capital regulation and banks’ financial decisions. International Journal of Central Banking 4 (1), 165–212.