Interacting default intensity with a hidden Markov process

References

• Black, F. and Scholes, M., The pricing of options and corporate liabilities. J. Polit. Econ., 1973, 81(3), 637–654.
   Web of Science ®Google Scholar
• Brigo, D., Pallavicini, A. and Torresetti, R., Calibration of CDO tranches with the dynamical generalized-Poisson loss model. Working Paper, Banca IMI, 2006. Available online at: http://papers.ssrn.com/sol3/papers.cfm?abstract\_id=900549
   Google Scholar
• Cont, R. and Minca, A., Recovering portfolio default intensities implied by CDO quotes. Math. Finance., 2013, 23(1), 94–121, doi:10.1111/j.1467-9965.2011.00491.x.
   Web of Science ®Google Scholar
• Davis, M. and Lo, V., Modeling default correlation in bond portfolios. In Mastering Risk Volume 2: Applications, edited by C. Alexander, pp. 141–151, 2001 (Prentice Hall: Upper Saddle River, NJ).
   Google Scholar
• Duffie, D. and Garleanu, N., Risk and valuation of collateralized debt obligations. Financ. Anal. J., 2001, 57(1), 41–59.
   Web of Science ®Google Scholar
• Duffie, D., Saita, L. and Wang, K., Multi-period corporate default prediction with stochastic covariates. J. Financ. Econ., 2006, 83(3), 635–665.
   Web of Science ®Google Scholar
• Elliott, R.J., Aggoun, L. and Moore, J.B., Hidden Markov Models: Estimation and Control, Vol. 29, 2008 (Springer-Verlag New York: New York).
   Google Scholar
• Elliott, R.J., Jeanblanc, M. and Yor, M., On models of default risk. Math. Finance, 2000, 10(2), 179–195.
   Web of Science ®Google Scholar
• Elliott, R.J. and Shen, J., Credit risk and contagion via self-exciting default intensity. Ann. Finance, 2015a, 11(3), 319–344.
   Web of Science ®Google Scholar
• Elliott, R.J. and Shen, J., Dynamic optimal capital structure with regime switching. Ann. Finance, 2015b, 11(2), 199–220.
   Web of Science ®Google Scholar
• Elliott, R.J. and Shen, J., Credit risk with latent contagion and frailty: Default probabilities, pricing, and hedging. Rev. Derivatives Res. 2016, forthcoming.
   Google Scholar
• Elliott, R.J., Siu, T.K. and Fung, E.S., A double HMM approach to altman Z-scores and credit ratings. Expert Syst. Appl., 2014, 41(4–2), 1553–1560.
   Web of Science ®Google Scholar
• Elliott, R.J. and Siu, T.K., An HMM intensity-based credit risk model and Filtering. In State-Space Models: Applications Economics and Finance, edited by Y. Zeng and S. Wu, Vol. 1, pp. 169–184, 2013 (Springer New York: New York).
   Google Scholar
• Frey, R. and Runggaldier, W., Pricing credit derivatives under incomplete information: A nonlinear-filtering approach. Finance Stoch., 2010, 14(4), 495–526.
   Web of Science ®Google Scholar
• Frey, R. and Runggaldier, W., Nonlinear filtering in models for interest rate and credit risk, Chapter 32. In Handbook of Nonlinear Filtering, edited by D. Crisan and B. Rozovski, 2011 (Oxford University Press: Oxford).
   Google Scholar
• Frey, R. and Schmidt, T., Filtering and incomplete information in credit risk, Chapter 7. In Credit Risk Frontiers: Subprime Crisis, Pricing and Hedging, CVA, MBS, Ratings, and Liquidity, edited by D. Brigo, T. Bielecki and F. Patras, 2011 (Wiley: Hoboken, NJ).
   Google Scholar
• Giesecke, K., Portfolio credit risk: Top-down vs. bottom-up approaches. In Frontiers in Quantitative Finance: Credit Risk and Volatility Modeling, edited by R. Cont, 2008 (Wiley: Hoboken, NJ).
   Google Scholar
• Giesecke, K. and Goldberg, L., Sequential defaults and incomplete information. J. Risk, 2004, 7(1), 1–26.
   Google Scholar
• Giesecke, K., Goldberg, L. and Ding, X., A top down approach to multi-name credit. Oper. Res., 2011, 59(2), 283–300.
   Web of Science ®Google Scholar
• Gu, J., Ching, W., Siu, T. and Zheng, H., On pricing basket credit default swaps. Quant. Finance, 2013, 13(12), 1845–1854.
   Web of Science ®Google Scholar
• Gu J., Ching W. and Zheng H., A hidden Markov reduced-form risk model, 2014 IEEE Conference Computational Intelligence for Financial Engineering & Economics, London, pp. 190–196, 2014.
   Google Scholar
• Jarrow, R. and Turnbull, S., Pricing derivatives on financial securities subject to credit risk. J. Finance, 1995, 50, 53–86.
   Web of Science ®Google Scholar
• Jarrow, R. and Yu, F., Counterparty risk and the pricing of defaultable securities. J. Finance, 2001, 56(5), 555–576.
   Web of Science ®Google Scholar
• Lando, D., On Cox processes and credit risky securities. Rev. Deriv. Res., 1998, 2, 99–120.
   Google Scholar
• Longstaff, F. and Rajan, A., An empirical analysis of collateralized debt obligations. J. Finance, 2008, 63(2), 529–563.
   Web of Science ®Google Scholar
• Madan, D. and Unal, H., Pricing the risks of default. Rev. Deriv. Res., 1998, 2(2–3), 121–160.
   Google Scholar
• Merton, R., On the pricing of corporate debt: The risk structure of interest rates. J. Finance, 1974, 29(2), 449–470.
   Web of Science ®Google Scholar
• Norros, I., A compensator representation of multivariate life length distributions, with applications. Scand. J. Stat., 1986, 13, 99–112.
   Web of Science ®Google Scholar
• Schönbucher, P. and Schubert, D., Copula-dependent default risk in intensity models. Working Paper, Universität Bonn, 2001.
   Google Scholar
• Shaked, M. and Shanthikumar, G., The multivariate hazard construction. Stoch. Proc. Appl., 1987, 24, 241–258.
   Web of Science ®Google Scholar
• Yu, F., Correlated defaults in intensity-based models. Math. Finance, 2007, 17(2), 155–173.
   Web of Science ®Google Scholar
• Zheng, H. and Jiang, L., Basket CDS pricing with interacting intensities. Finance Stoch., 2009, 13, 445–469.
   Web of Science ®Google Scholar