Abstract
In Chap. 13, we presented an approach to the modeling of defaultable term structure based on the Heath-Jarrow-Morton modeling methodology. As the underlying building blocks that served to produce a model of default-free and defaultable term structures, we have used there the dynamics of instantaneous, continuously compounded, forward interest rates.
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A Guide to References
Mathematical background
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Term structure modeling
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Credit risk
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Structural approach
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Structural approach with strategic behavior
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Reduced-form approach
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Schönbucher, P.J. (1998b) Pricing credit risk derivatives. Working paper, University of Bonn.
Duffle, D., Singleton, K.J. (1994) Econometric modeling of term structures of defaultable bonds. Working paper, Stanford University.
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Duffle, D., Singleton, K.J. (1999) Modeling term structures of defaultable bonds. Rev. Finan. Stud. 12, 687–720.
Lando, D. (1997) Modelling bonds and derivatives with credit risk. In: Mathematics of Derivative Securities, M. Dempster, S. Pliska, eds., Cambridge University Press, Cambridge, pp. 369–393.
Monkkonen, H. (1997) Modeling Default Risk: Theory and Empirical Evidence. Ph.D. dissertation, Queen’s University.
Lando, D. (1998) On Cox processes and credit-risky securities. Rev. Derivatives Res. 2, 99–120.
Lotz, C. (1998) Locally minimizing the credit risk. Working paper, University of Bonn.
Lotz, C. (1999) Optimal shortfall hedging of credit risk. Working paper, University of Bonn.
Schlögl, L. (1998) An exposition of intensity-based models of securities and derivatives with default risk. Working paper, University of Bonn.
Wong, D. (1998) A unifying credit model. Working paper, Research Advisory Services, Capital Markes Group, Scotia Capital Markets.
Collin-Dufresne, P., Hugonnier, J.-N. (1999) On the pricing and hedging of contingent claims in the presence of extraneous risks. Working paper, Carnegie Mellon University.
Kusuoka, S. (1999) A remark on default risk models. Adv. Math. Econom. 1, 69–82.
Maksymiuk, R., Gytarek, D. (1999) Applying HJM to credit risk. Risk 12 (5), 67–68.
Pugachevsky, D. (1999) Generalizing with HJM. Risk 12 (8), 103–105.
Blanchet-Scalliet, C., Jeanblanc, M. (2000) Hazard rate for credit risk and hedging defaultable contingent claims. Forthcoming.
Elliott, R.J., Jeanblanc, M., Yor, M. (2000) On models of default risk. Math. Finance 10, 179–195.
Greenfield, Y. (2000) Hedging of Credit Risk Embedded in Derivative Transactions. Ph.D. dissertation, Carnegie Mellon University.
Jarrow, R.A., Turnbull, S.M. (2000b) The intersection of market and credit risk. J. Bank. Finance 24, 271–299.
Jeanblanc, M., Rutkowski, M. (2000a) Modelling of default risk: An overview. In: Mathematical Finance: Theory and Practice, Higher Education Press, Beijing, pp. 171–269.
Jeanblanc, M., Rutkowski, M. (2000b) Modelling of default risk: Mathematical tools. Working paper, Université d’Évry and Warsaw University of Technology.
Kijima, M. (2000) Valuation of a credit swap of the basket type. Rev. Derivatives Res. 4, 81–97.
Kijima, M., Muromachi, Y. (2000) Credit events and the valuation credit derivatives of basket type. Rev. Derivatives Res. 4, 55–79.
Laurent, J.-P. (2000) Default swap and credit spread options. Working paper, BNP Paribas, London.
Lotz, C., Schlögl, L. (2000) Default risk in a market model. J. Bank. Finance 24, 301–327.
Bélanger, A., Shreve, S.E., Wong, D. (2001) A unified model for credit derivatives. Forthcoming in Math. Finance.
Collin-Dufresne, P., Goldstein, R.S. (2001) Do credit spread reflect stationary leverage ratios? J. Finance 56, 1929–1957.
Duffle, D., Gârleanu, N. (2001) Risk and the valuation of collateralized debt obligations. Finan. Analysts J. 57 (1), 41–59.
Hübner, G. (2001) The analytic pricing of asymmetric defaultable swaps. J. Bank. Finance 25, 295–316.
Jarrow, R.A., Yu, F. (2001) Counterparty risk and the pricing of defaultable secu-rities. J. Finance 56, 1765–1799.
Ratings-based approach
Das, S.R., Tufano, P. (1996) Pricing credit-sensitive debt when interest rates, credit ratings, and credit spreads are stochastic. J. Finan. Engrg 5 (2), 161–198.
Jarrow, R.A., Lando, D., Turnbull, S.M. (1997) A Markov model for the term structure of credit risk spreads. Rev. Finan. Stud. 10, 481–523.
Nakazato, D. (1997) Gaussian term structure model with credit rating classes. Working paper, Industrial Bank of Japan.
Duffle, D. (1998a) First-to-default valuation. Working paper, Stanford University.
Arvanitis, A., Gregory, J., Laurent, J.-P. (1998) Building models for credit spreads. J. Derivatives 6 (3), 27–43.
Kijima, M., Komoribayashi, K. (1998) A Markov chain model for valuing credit risk derivatives. J. Derivatives 6, Fall, 97–108.
Thomas, L.C., Allen, D.E., Morkel-Kingsbury, N. (1998) A hidden Markov chain model for the term structure of bond credit risk spreads. Working paper.
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Bielecki, T.R., Rutkowski, M. (2000b) Multiple ratings model of defaultable term structure. Math. Finance 10, 125–139.
Lando, D. (2000a) Some elements of rating-based credit risk modeling. In: Advanced Fixed-Income Valuation Tools, N. Jegadeesh, B. Tuckman, eds., J. Wiley, Chichester, pp. 193–215.
Schönbucher, P.J. (2000a) Credit Risk Modelling and Credit Derivatives. Ph.D. dissertation, University of Bonn.
Wei, J.Z. (2000) A multi-factor, Markov chain model for credit migrations and credit spreads. Working paper, University of Toronto.
Crouhy, M., Galai, D., Mark, R. (2001) Prototype risk rating system. J. Bank. Finance 25, 47–95.
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Hybrid approach
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Bielecki, T.R., Rutkowski, M. (2004). Modeling of Market Rates. In: Credit Risk: Modeling, Valuation and Hedging. Springer Finance. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-662-04821-4_15
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