Geurdes, Han / J. F. (2011): On the mathematical form of CVA in Basel III.
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Abstract
Credit valuation adjustment in Basel III is studied from the perspective of the mathematics involved. A bank covers mark-to-market losses for expected counterparty risk with a CVA capital charge. The CVA is known as credit valuation adjustments. In this paper it will be argued that CVA and conditioned value at risk (CVaR) have a common mathematical ancestor. The question is raised why the Basel committee, from the perspective of CVaR, has selected a specific parameterization. It is argued that a fine-tuned supervision, on the longer run, will be beneficial for counterparties with a better control over their spread.
Item Type: | MPRA Paper |
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Commentary on: | Eprints 0 not found. |
Original Title: | On the mathematical form of CVA in Basel III. |
Language: | English |
Keywords: | CVA, CVaR, statistical methodology. |
Subjects: | C - Mathematical and Quantitative Methods > C0 - General > C02 - Mathematical Methods A - General Economics and Teaching > A1 - General Economics > A14 - Sociology of Economics C - Mathematical and Quantitative Methods > C0 - General > C01 - Econometrics |
Item ID: | 30955 |
Depositing User: | Han / J. F. Geurdes |
Date Deposited: | 18 May 2011 12:59 |
Last Modified: | 26 Sep 2019 13:26 |
References: | [1] Basel III: A global regulatory framework for more resilient banks and banking systems, Basel Committee on Banking Supervision, december 2010. [2] Messages from the academic literature on risk measurement for the trading book, Basel Committee on Banking Supervision, januari 2011. [3] Position paper on a countercyclical capital buffer,www.cebs.org/getdoc/715bc0f9-7af9-47d9-98a8-778a4d20a880/CEBS-positionpaper-on-a-countercyclical-capital-b.aspx. [4] Basel II: International Convergence of Capital Measurement and Capital Standards, Basel Committee on Banking Supervision, june 2006, Annex 4. [5] R.T. Rockafellar and S. Uryasev, Optimization of conditional value at risk, Preprint: University of Florida, Dept. of Industrial and Systems Engineering, PO Box 116595, 303 Weil Hall, Gainesville, FL 32611-6595, E-mail: uryasev@ise.ufl.edu, URL: http://www.ise.ufl.edu/uryasev [6] A. Kolmogorov, Grundbegriffe der Wahrscheinlichkeitsrechnung, Julius Springer, Berlin, (1933). [7] A. Shapiro and Y.Wardi, Nondifferentiability of the Steady-StateFunction in Discrete Event Dynamic Systems, IEEE Trans. on Aut. Contr 39. 1701-1711 (1994). |
URI: | https://mpra.ub.uni-muenchen.de/id/eprint/30955 |