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Default risk and derivative products

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  • Ian Cooper
  • Marcel Martin

Abstract

The modelling of default risk in debt securities involves making assumptions about the stochastic process driv- ing default, the process generating the write-down in default, and risk-free interest rates. Three generic approaches have been used. The first relies on modelling the value of the assets on which the debt is written. The second involves modelling default as an arrival process. The third involves directly modelling the interest rate spreads to which default gives rise. Each of these approaches may be applied to the impact of default risk on derivative products such as swaps and options. One application is to the valuation of derivative products that may default. The other is to the new class of 'credit derivatives' that represent derivative products written on credit risk.

Suggested Citation

  • Ian Cooper & Marcel Martin, 1996. "Default risk and derivative products," Applied Mathematical Finance, Taylor & Francis Journals, vol. 3(1), pages 53-70.
    • Handle: RePEc:taf:apmtfi:v:3:y:1996:i:1:p:53-70
    DOI: 10.1080/13504869600000003
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    References listed on IDEAS

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    1. Spassimir H. Paskov & Joseph F. Traub, 1995. "Faster Valuation of Financial Derivatives," Working Papers 95-03-034, Santa Fe Institute.
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    Cited by:

    1. Kiani-Rad , Minoo & Tehrani , Reza & Komijani , Akbar & Iravani , Mohammad Javad, 2017. "Investigating the Effect of Monetary Treaty on Trade between Iran and Major Trading Partners," Journal of Money and Economy, Monetary and Banking Research Institute, Central Bank of the Islamic Republic of Iran, vol. 12(2), pages 145-173, April.
    2. Casey, Christopher, 2001. "Corporate valuation, capital structure and risk management: A stochastic DCF approach," European Journal of Operational Research, Elsevier, vol. 135(2), pages 311-325, December.
    3. Wagner, Stephan M. & Bode, Christoph & Koziol, Philipp, 2011. "Negative default dependence in supplier networks," International Journal of Production Economics, Elsevier, vol. 134(2), pages 398-406, December.
    4. Jos'e A. Salmer'on & Giulia Di Nunno & Bernardo D'Auria, 2022. "Before and after default: information and optimal portfolio via anticipating calculus," Papers 2208.07163, arXiv.org, revised May 2023.
    5. Zaevski, Tsvetelin S. & Kounchev, Ognyan & Savov, Mladen, 2019. "Two frameworks for pricing defaultable derivatives," Chaos, Solitons & Fractals, Elsevier, vol. 123(C), pages 309-319.
    6. Maria Stepanova & Lyn Thomas, 2002. "Survival Analysis Methods for Personal Loan Data," Operations Research, INFORMS, vol. 50(2), pages 277-289, April.
    7. Groh, Alexander P., 2004. "Risikoadjustierte Performance von Private Equity-Investitionen," Publications of Darmstadt Technical University, Institute for Business Studies (BWL) 21382, Darmstadt Technical University, Department of Business Administration, Economics and Law, Institute for Business Studies (BWL).
    8. Mari, Carlo & Reno, Roberto, 2005. "Credit risk analysis of mortgage loans: An application to the Italian market," European Journal of Operational Research, Elsevier, vol. 163(1), pages 83-93, May.
    9. Duffie, Darrell, 2005. "Credit risk modeling with affine processes," Journal of Banking & Finance, Elsevier, vol. 29(11), pages 2751-2802, November.
    10. Onorato, Mario & Altman, Edward I., 2005. "An integrated pricing model for defaultable loans and bonds," European Journal of Operational Research, Elsevier, vol. 163(1), pages 65-82, May.
    11. Fruhwirth, Manfred, 2001. "A pricing model for secondary market yield based floating rate notes subject to default risk," European Journal of Operational Research, Elsevier, vol. 135(2), pages 233-248, December.
    12. Salmerón Garrido, José Antonio & Nunno, Giulia Di & D'Auria, Bernardo, 2022. "Before and after default: information and optimal portfolio via anticipating calculus," DES - Working Papers. Statistics and Econometrics. WS 35411, Universidad Carlos III de Madrid. Departamento de Estadística.

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