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An improved approach to evaluate default probabilities and default correlations with consistency. (English) Zbl 1396.91790
MSC:
91G40 Credit risk
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[1] N. Akkaya, A. Kurth & A. Wagner (2004) Incorporating default correlations and severity variations. In: CreditRisk+ in the Banking Industry, M. Gundlach & F. Lehrbass eds., Springer Finance, ISSN:1616-0533, Springer-Verlag, Berlin, Heidelberg, pp. 129-152. genRefLink(16, ’S0219024916500369BIB001’, ’10.1007%252F978-3-662-06427-6_9’); · Zbl 1095.91025
[2] F. Black & J. C. Cox (1976) Valuing corporate securities: Some effects of bond indenture provisions, Journal of Finance31, 351-367. genRefLink(16, ’S0219024916500369BIB002’, ’10.2307%252F2326607’); genRefLink(128, ’S0219024916500369BIB002’, ’A1976CA49300009’);
[3] T. R. Bielecki & M. Rutkowski (2002) Credit Risk: Modeling, Valuation and Hedging. Berlin Heidelberg, New York: Springer-Verlag. · Zbl 0979.91050
[4] M. Crouhy, D. Galai & R. Mark (2000) A comparative analysis of current credit risk models, Journal of Banking and Finance24, 59-117. genRefLink(16, ’S0219024916500369BIB004’, ’10.1016%252FS0378-4266%252899%252900053-9’); genRefLink(128, ’S0219024916500369BIB004’, ’000084541500004’);
[5] S. R. Das, G. Fong & G. Geng (2001) Impact of correlated default risk on credit portfolios, Journal of Fixed Income11, 9-19. genRefLink(16, ’S0219024916500369BIB005’, ’10.3905%252Fjfi.2001.319301’);
[6] U. Erlenmaier & H. Gersbach (2014) Default correlations in the Merton model, Review of Finance18 (5), 1775-1809. genRefLink(16, ’S0219024916500369BIB006’, ’10.1093%252Frof%252Frft030’); genRefLink(128, ’S0219024916500369BIB006’, ’000340044500005’);
[7] K. Giesecke (2004) Correlated default with incomplete information, Journal of Banking and Finance28, 1521-1545. genRefLink(16, ’S0219024916500369BIB007’, ’10.1016%252FS0378-4266%252803%252900129-8’); genRefLink(128, ’S0219024916500369BIB007’, ’000222046300002’);
[8] M. Gundlach & F. Lehrbass (eds.) (2004) CreditRisk+ in the Banking Industry. Springer. genRefLink(16, ’S0219024916500369BIB008’, ’10.1007%252F978-3-662-06427-6’); · Zbl 1046.91001
[9] P. Jorion (2009) Risk management lessons from the credit crisis, European Financial Management15, 923-933. genRefLink(16, ’S0219024916500369BIB009’, ’10.1111%252Fj.1468-036X.2009.00507.x’); genRefLink(128, ’S0219024916500369BIB009’, ’000271002000002’);
[10] H. Leland (1994) Corporate debt value, bond covnants, and optimal capital structure, Journal of Finance49, 1213-1252. genRefLink(16, ’S0219024916500369BIB010’, ’10.2307%252F2329184’); genRefLink(128, ’S0219024916500369BIB010’, ’A1994PG76000003’);
[11] H. Leland & K. Toft (1996) Optimal capital structure, endogenous bankruptcy, and the term structure of credit spreads, Journal of Finance51, 987-1019. genRefLink(16, ’S0219024916500369BIB011’, ’10.2307%252F2329229’); genRefLink(128, ’S0219024916500369BIB011’, ’A1996UU14500008’);
[12] D. J. Lucas (1995) Default correlation and credit analysis, Journal of Fixed Income 76-87. genRefLink(16, ’S0219024916500369BIB012’, ’10.3905%252Fjfi.1995.408124’);
[13] R. C. Merton (1974) On the pricing of corporate debt: The risk structure of interest rates, Journal of Finance29, 449-470. genRefLink(16, ’S0219024916500369BIB013’, ’10.2307%252F2978814’); genRefLink(128, ’S0219024916500369BIB013’, ’A1974T356000010’);
[14] A. Metzler (2010) On the first passage problem for correlated Brownian motion, Statistics & Probability Letters80 (5-6), 277-284. genRefLink(16, ’S0219024916500369BIB014’, ’10.1016%252Fj.spl.2009.11.001’); genRefLink(128, ’S0219024916500369BIB014’, ’000274946100003’);
[15] T. N. Nielsen, J. Sa√°-Requejo & P. Santa-Clara (1993) Default Risk and Interest Rate Risk: The Term Structure of Default Spreads, INSEAD, 60 pp.
[16] J. A. Rebholz (1994) Planar Diffusions with Applications to Mathematical Finance, Ph. D. thesis dissertation, University of California, Berkeley.
[17] L. Sacerdote, M. Tamborrino & C. Zucca (2016) First passage times of two-dimensional correlated diffusion processes: Analytical results for the Wiener process and a numerical method for diffusion processes, Journal of Computational and Applied Mathematics296, 275-292. genRefLink(16, ’S0219024916500369BIB017’, ’10.1016%252Fj.cam.2015.09.033’); genRefLink(128, ’S0219024916500369BIB017’, ’000367107200020’); · Zbl 1333.60176
[18] M. Valu\"zis (2008) On the probabilities of correlated defaults: A first passage time approach, Nonlinear Analysis: Modeling and Control13 (1) 117-133. genRefLink(128, ’S0219024916500369BIB018’, ’000207800900009’);
[19] D. Zhang & R. V. N. Melnik (2009) First passage time for multivariate jump-diffusion processes in finance and other areas of applications, Applied Stochastic Models in Business and Industry25 (5), 565-582. genRefLink(16, ’S0219024916500369BIB019’, ’10.1002%252Fasmb.745’); genRefLink(128, ’S0219024916500369BIB019’, ’000271394300007’); · Zbl 1224.91176
[20] C. Zhou (2001) An analysis of default correlations and multiple defaults, The Review of Financial Studies14, 555-576. genRefLink(16, ’S0219024916500369BIB020’, ’10.1093%252Frfs%252F14.2.555’); genRefLink(128, ’S0219024916500369BIB020’, ’000167933000009’);
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