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Marking-to-model credit and operational risks of loan commitments: A Basel-2 advanced internal ratings-based approach

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  • Chateau, John-Peter D.

Abstract

Within a marking-to-model framework, this research computes the bank's capital charge for credit and operational risks of loan commitments at Basel-2 fixed audit date. This is done in three steps. The first one prices commitment credit risk as a Gram-Charlier put value and determines the commitment forward-funding proportion. In the second one, put value and funding proportion are combined to compute Basel-2 'fair' capital charge for credit and operational risks. By producing a moderate total capital charge, marking-to-model offers substantial capital relief with respect to the corresponding charge computed with Basel-2 simplified approach. Both charges are however larger than the corresponding nil charge arrived at in Basel-1. In the third step, marking-to-model reveals its flexibility by showing how banks can determine the cost of their exposure to borrowers' credit-rating downgrades and how they can also hedge any exposure to commitment default risk.

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  • Chateau, John-Peter D., 2009. "Marking-to-model credit and operational risks of loan commitments: A Basel-2 advanced internal ratings-based approach," International Review of Financial Analysis, Elsevier, vol. 18(5), pages 260-270, December.
  • Handle: RePEc:eee:finana:v:18:y:2009:i:5:p:260-270
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    1. Jurczenko, Emmanuel & Maillet, Bertrand & Negrea, Bogdan, 2002. "Skewness and kurtosis implied by option prices: a second comment," LSE Research Online Documents on Economics 24938, London School of Economics and Political Science, LSE Library.
    2. Wilkens, Sascha & Roder, Klaus, 2006. "The informational content of option-implied distributions: Evidence from the Eurex index and interest rate futures options market," Global Finance Journal, Elsevier, vol. 17(1), pages 50-74, September.
    3. Charles J. Corrado & Tie Su, 1996. "Skewness And Kurtosis In S&P 500 Index Returns Implied By Option Prices," Journal of Financial Research, Southern Finance Association;Southwestern Finance Association, vol. 19(2), pages 175-192, June.
    4. Jarrow, Robert A. & Turnbull, Stuart M., 2000. "The intersection of market and credit risk," Journal of Banking & Finance, Elsevier, vol. 24(1-2), pages 271-299, January.
    5. Emmanuel Jurczenko & Bertrand Maillet & Bogdan Negrea, 2004. "A note on skewness and kurtosis adjusted option pricing models under the Martingale restriction," Quantitative Finance, Taylor & Francis Journals, vol. 4(5), pages 479-488.
    6. Elsas, Ralf & Krahnen, Jan Pieter, 1998. "Is relationship lending special? Evidence from credit-file data in Germany," Journal of Banking & Finance, Elsevier, vol. 22(10-11), pages 1283-1316, October.
    7. Frydman, Halina & Schuermann, Til, 2008. "Credit rating dynamics and Markov mixture models," Journal of Banking & Finance, Elsevier, vol. 32(6), pages 1062-1075, June.
    8. Feng, D. & Gourieroux, C. & Jasiak, J., 2008. "The ordered qualitative model for credit rating transitions," Journal of Empirical Finance, Elsevier, vol. 15(1), pages 111-130, January.
    9. Jurczenko, Emmanuel & Maillet, Bertrand & Negrea, Bogdan, 2002. "Revisited multi-moment approximate option pricing models: a general comparison (Part 1)," LSE Research Online Documents on Economics 24950, London School of Economics and Political Science, LSE Library.
    10. Longstaff, Francis A, 1995. "Option Pricing and the Martingale Restriction," Review of Financial Studies, Society for Financial Studies, vol. 8(4), pages 1091-1124.
    11. Thakor, Anjan V., 1982. "Toward a theory of bank loan commitments," Journal of Banking & Finance, Elsevier, vol. 6(1), pages 55-83, March.
    12. Bakshi, Gurdip & Cao, Charles & Chen, Zhiwu, 1997. "Empirical Performance of Alternative Option Pricing Models," Journal of Finance, American Finance Association, vol. 52(5), pages 2003-2049, December.
    13. Ham, John C & Melnik, Arie, 1987. "Loan Demand: An Empirical Analysis Using Micro Data," The Review of Economics and Statistics, MIT Press, vol. 69(4), pages 704-709, November.
    14. Heston, Steven L, 1993. "A Closed-Form Solution for Options with Stochastic Volatility with Applications to Bond and Currency Options," Review of Financial Studies, Society for Financial Studies, vol. 6(2), pages 327-343.
    15. Thakor, Anjan V. & Udell, Gregory F., 1987. "An economic rationale for the pricing structure of bank loan commitments," Journal of Banking & Finance, Elsevier, vol. 11(2), pages 271-289, June.
    16. Rosenberg, Joshua V. & Schuermann, Til, 2006. "A general approach to integrated risk management with skewed, fat-tailed risks," Journal of Financial Economics, Elsevier, vol. 79(3), pages 569-614, March.
    17. Robert A. Jarrow & Stuart M. Turnbull, 2008. "Pricing Derivatives on Financial Securities Subject to Credit Risk," World Scientific Book Chapters, in: Financial Derivatives Pricing Selected Works of Robert Jarrow, chapter 17, pages 377-409, World Scientific Publishing Co. Pte. Ltd..
    18. Livingston, Miles & Naranjo, Andy & Zhou, Lei, 2008. "Split bond ratings and rating migration," Journal of Banking & Finance, Elsevier, vol. 32(8), pages 1613-1624, August.
    19. Morgan, Donald P., 1993. "Financial contracts when costs and returns are private," Journal of Monetary Economics, Elsevier, vol. 31(1), pages 129-146, February.
    20. Christine A. Brown & David M. Robinson, 2002. "Skewness and Kurtosis Implied by Option Prices: A Correction," Journal of Financial Research, Southern Finance Association;Southwestern Finance Association, vol. 25(2), pages 279-282, June.
    21. Aron A. Gottesman & Gordon S. Roberts, 2004. "Maturity and Corporate Loan Pricing," The Financial Review, Eastern Finance Association, vol. 39(1), pages 55-77, February.
    22. Heston, Steven L & Nandi, Saikat, 2000. "A Closed-Form GARCH Option Valuation Model," Review of Financial Studies, Society for Financial Studies, vol. 13(3), pages 585-625.
    23. Charles J. Corrado & Tie Su, 1996. "Skewness And Kurtosis In S&P 500 Index Returns Implied By Option Prices," Journal of Financial Research, Southern Finance Association;Southwestern Finance Association, vol. 19(2), pages 175-192, June.
    24. Ms. Elena Loukoianova & Salih N. Neftci & Mr. Sunil Sharma, 2006. "Pricing and Hedging of Contingent Credit Lines," IMF Working Papers 2006/013, International Monetary Fund.
    25. Chateau, John-Peter D., 2007. "Beyond Basel-2 simplified standardized approach: Credit risk valuation of short-term loan commitments," International Review of Financial Analysis, Elsevier, vol. 16(5), pages 412-433.
    26. Lane P. Hughston & Stuart M. Turnbull, 2001. "Credit Risk: Constructing the Basic Building Blocks," Economic Notes, Banca Monte dei Paschi di Siena SpA, vol. 30(2), pages 281-292, July.
    27. Kiefer, Nicholas M. & Larson, C. Erik, 2007. "A simulation estimator for testing the time homogeneity of credit rating transitions," Journal of Empirical Finance, Elsevier, vol. 14(5), pages 818-835, December.
    28. David L. Olson & Desheng Dash Wu, 2007. "Credit Risk Analysis," World Scientific Book Chapters, in: Enterprise Risk Management, chapter 10, pages 161-185, World Scientific Publishing Co. Pte. Ltd..
    29. Ho, Thomas S. Y. & Saunders, Anthony, 1983. "Fixed Rate Loan Commitments, Take-Down Risk, and the Dynamics of Hedging with Futures," Journal of Financial and Quantitative Analysis, Cambridge University Press, vol. 18(4), pages 499-516, December.
    30. Angbazo, Lazarus A. & Mei, Jianping & Saunders, Anthony, 1998. "Credit spreads in the market for highly leveraged transaction loans," Journal of Banking & Finance, Elsevier, vol. 22(10-11), pages 1249-1282, October.
    31. Shockley, Richard L & Thakor, Anjan V, 1997. "Bank Loan Commitment Contracts: Data, Theory, and Tests," Journal of Money, Credit and Banking, Blackwell Publishing, vol. 29(4), pages 517-534, November.
    32. Boot, Arnoud W A & Greenbaum, Stuart I & Thakor, Anjan V, 1993. "Reputation and Discretion in Financial Contracting," American Economic Review, American Economic Association, vol. 83(5), pages 1165-1183, December.
    33. Black, Fischer, 1976. "The pricing of commodity contracts," Journal of Financial Economics, Elsevier, vol. 3(1-2), pages 167-179.
    34. Smith, Clifford Jr., 1976. "Option pricing : A review," Journal of Financial Economics, Elsevier, vol. 3(1-2), pages 3-51.
    35. Hawkins, Gregory D., 1982. "An analysis of revolving credit agreements," Journal of Financial Economics, Elsevier, vol. 10(1), pages 59-81, March.
    36. Stefanescu, Catalina & Tunaru, Radu & Turnbull, Stuart, 2009. "The credit rating process and estimation of transition probabilities: A Bayesian approach," Journal of Empirical Finance, Elsevier, vol. 16(2), pages 216-234, March.
    37. Chateau, J. -P. & Dufresne, D., 2002. "The stochastic-volatility American put option of banks' credit line commitments:: Valuation and policy implications," International Review of Financial Analysis, Elsevier, vol. 11(2), pages 159-181.
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