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Computing valuation adjustments for counterparty credit risk using a modified supervisory approach. (English) Zbl 1451.91209

Summary: Considering counterparty credit risk (CCR) for derivatives using valuation adjustments (CVA) is a fundamental and challenging task for entities involved in derivative trading activities. Particularly calculating the expected exposure is time consuming and complex. This paper suggests a fast and simple semi-analytical approach for exposure calculation, which is a modified version of the new regulatory standardized approach (SA-CCR). Hence, it conforms with supervisory rules and IFRS 13. We show that our approach is applicable to multiple asset classes and derivative products, and to single transactions as well as netting sets.

MSC:

91G40 Credit risk
91G20 Derivative securities (option pricing, hedging, etc.)

References:

[1] BCBS. (1996). Amendment to the capital accord to incorporate market risks. Basel Committee on Banking Supervision Updated version (November 2005).
[2] BCBS. (2005). The application of Basel II to trading activities and the treatment of double default effects. Basel Committee on Banking Supervision.
[3] BCBS. (2013). Consultative document—the non-internal model method for capitalising counterparty credit risk exposures. Basel Committee on Banking Supervision.
[4] BCBS. (2014a). Basel III leverage ratio framework and disclosure requirements. Basel Committee on Banking Supervision.
[5] BCBS. (2014b). Foundations of the standardised approach for measuring counterparty credit risk exposures. In Working paper no 26. Basel Committee on Banking Supervision.
[6] BCBS. (2014c). The standardised approach for measuring counterparty credit risk exposures. Basel Committee on Banking Supervision.
[7] BCBS. (2014d). Supervisory framework for measuring and controlling large exposures. Basel Committee on Banking Supervision https://www.bis.org/publ/bcbs283.pdf
[8] BCBS. (2017). Basel III: Finalising post-crisis reforms. Basel Committee on Banking Supervision https://www.bis.org/bcbs/publ/d424.pdf
[9] BCBS. (2019). Minimum capital requirements for market risk (rev. version). Basel Committee on Banking Supervision.
[10] BCBS, IOSCO. (2015). Margin requirements for non-centrally cleared derivatives. Basel Committee on Banking Supervision.
[11] Brigo, D., & Masetti, M. (2005). A formula for interest rate swaps valuation under counterparty risk in presence of netting agreements. http://www.damianobrigo.it
[12] Canabarro, E., & Duffie, D. (2003). Measuring and marking counterparty credit risk. Institutional Investor Books, chap, 9, pp. 122-134.
[13] Cherubini, U., Credit valuation adjustment and wrong way risk, Quantitative Finance Letters, 1, 1, 9-15 (2013) · doi:10.1080/21649502.2013.808029
[14] EBA. (2016). Response to the European commisssion’s CFA on standard approach for counterparty credit risk and own funds requirements for market risk. European Banking Authority.
[15] EBA. (2017). Discussion paper - implementation in the European union of the revised market risk and counterparty credit risk frameworks. European Banking Authority.
[16] ESAs. (2016). Final draft regulatory technical standards on risk-mitigation techniques for OTC-derivative contracts not cleared by a CCP under article 11(15) of regulation (eu) no. 648/2012. Risk-management procedures for non-centrally cleared OTC derivatives.
[17] Fleck, M., & Schmidt, A. (2005). Counterparty credit risk modelling: Risk management pricing and regulation. Risk Books, chap Analysis of Basel II treatment of counterparty risk, pp. 229-261.
[18] Gregory, J., Counterparty credit risk and credit value adjustments (2010), London: Wiley, London
[19] Gregory, J., The XVA challenge: Counterparty credit risk, funding, collateral and capital (2015), London: Wiley, London
[20] Heston, SL, A closed solution for options with stochastic volatility, with application to bond and currency options, Review of Financial Studies, 6, 2, 327-343 (1993) · Zbl 1384.35131 · doi:10.1093/rfs/6.2.327
[21] Hull, J.; White, A., CVA and wrong way risk, Financial Analysts Journal, 68, 5, 58-69 (2012) · doi:10.2469/faj.v68.n5.6
[22] ISDA, TBMA, LIBA. (2003). Counterparty risk treatment of OTC derivatives and securities financing transactions. ISDA https://www.sec.gov/rules/proposed/s72103/isda020404a.pdf.
[23] Kao, L. J. (2016). Credit valuation adjustment of cap and floor with counterparty risk: A structural pricing model for vulnerable European options. Review of Derivatives Research. 10.1007/s11147-015-9114-7. · Zbl 1345.91072
[24] Leung, SY; Kwok, YK, Credit default swap valuation with counterparty, The Kyoto Economic Review, 74, 1, 25-45 (2005)
[25] Lynch, D. (2014). Counterparty risk management: Measurement, pricing and regulation, risk books, chap the Basel III enhancements to counterparty risk capital charges, pp. 3-16.
[26] Marquart, M., Cva for pricing: Comparison of CEM, SA-CCR, and advanced approach, Wilmott, 2016, 86, 52-59 (2016) · doi:10.1002/wilm.10550
[27] Picoult, E., Economic capital for counterparty credit risk, The RMA Journal, 86, 6, 44-51 (2004)
[28] Pricso, B. D., Rosen, D. (2005). Counterparty credit risk modelling: Risk management, pricing and regulation. Risk Books, chap Modelling stochastic counterparty credit exposures for derivatives portfolios, pp. 3-48.
[29] Pykhtin, M. (2014) Counterparty risk management: Measurement, pricing and regulation, risk books, chap the non-internal model method for counterparty credit risk, pp. 33-57.
[30] Pykhtin, M., & Zhu, S. (2007). A guide to modeling counterparty credit risk. GARP Risk Review 37.
[31] Sorensen, EH; Bollier, TF, Pricing swap default risk, Financial Analysts Journal, 50, 3, 23-33 (1994) · doi:10.2469/faj.v50.n3.23
[32] Thompson, T., & Dahinden, V. (2013). Counterparty risk and CVA survey: Current market practice around counterparty risk regulation, CVA management and funding. Deloitte and Solum Financial Partners.
[33] Trolle, AB; Schwartz, ES, A general stochastic volatility model for the pricing of interest rate derivatives, The Review of Financial Studies, 22, 5, 2002-2057 (2009) · doi:10.1093/rfs/hhn040
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