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On the Valuation and Analysis of Risky Debt: A Practical Approach Using Raging Migrations

Author

Listed:
  • Edwin O. Fischer

    (Institute of Finance, Karl-Franzens-University Graz)

  • Lisa-Maria Kampl

    (Institute of Finance, University of Graz)

  • Ines Wöckl

    (Institute of Finance, University of Graz)

Abstract

This paper is concerned with the valuation and analysis of risky debt instruments with arbitrary interest and principal payments subject to default risk. For the valuation, we use a risk-neutral present value model with expected payments for risk-neutral investors and risk-free spot rates. The required risk-neutral default probabilities are derived from historically observable risk-averse migration matrices. Based on this debt valuation, we calculate various key figures for the analysis of risky debt from the point of view of risk-averse investors (e.g., promised and expected yields, yield spreads, Z-spreads, risk premia, risk-averse default probabilities, and risk-averse expected payments). Our approach is well-suited for practical applications, since the parameters required are easily available from observable data.

Suggested Citation

  • Edwin O. Fischer & Lisa-Maria Kampl & Ines Wöckl, 2020. "On the Valuation and Analysis of Risky Debt: A Practical Approach Using Raging Migrations," Working Paper Series, Social and Economic Sciences 2020-01, Faculty of Social and Economic Sciences, Karl-Franzens-University Graz.
  • Handle: RePEc:grz:wpsses:2020-01
    as

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    References listed on IDEAS

    as
    1. Briys, Eric & de Varenne, François, 1997. "Valuing Risky Fixed Rate Debt: An Extension," Journal of Financial and Quantitative Analysis, Cambridge University Press, vol. 32(2), pages 239-248, June.
    2. Edward Altman & Andrea Resti & Andrea Sironi, 2004. "Default Recovery Rates in Credit Risk Modelling: A Review of the Literature and Empirical Evidence," Economic Notes, Banca Monte dei Paschi di Siena SpA, vol. 33(2), pages 183-208, July.
    3. Frydman, Halina & Schuermann, Til, 2008. "Credit rating dynamics and Markov mixture models," Journal of Banking & Finance, Elsevier, vol. 32(6), pages 1062-1075, June.
    4. 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.
    5. Edwin O. Fischer & Lisa-Maria Kampl & Ines Wöckl, 2019. "On the Valuation and Analysis of Risky Debt: A Theoretical Approach Using a Multivariate Extension of the Merton Model," Working Paper Series, Social and Economic Sciences 2019-02, Faculty of Social and Economic Sciences, Karl-Franzens-University Graz.
    6. Nickell, Pamela & Perraudin, William & Varotto, Simone, 2000. "Stability of rating transitions," Journal of Banking & Finance, Elsevier, vol. 24(1-2), pages 203-227, January.
    7. Das, Sanjiv R. & Hanouna, Paul & Sarin, Atulya, 2009. "Accounting-based versus market-based cross-sectional models of CDS spreads," Journal of Banking & Finance, Elsevier, vol. 33(4), pages 719-730, April.
    8. Kadam, Ashay & Lenk, Peter, 2008. "Bayesian inference for issuer heterogeneity in credit ratings migration," Journal of Banking & Finance, Elsevier, vol. 32(10), pages 2267-2274, October.
    9. Robert A. Jarrow & David Lando & Stuart M. Turnbull, 2008. "A Markov Model for the Term Structure of Credit Risk Spreads," World Scientific Book Chapters, in: Financial Derivatives Pricing Selected Works of Robert Jarrow, chapter 18, pages 411-453, World Scientific Publishing Co. Pte. Ltd..
    10. 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..
    11. Merton, Robert C, 1974. "On the Pricing of Corporate Debt: The Risk Structure of Interest Rates," Journal of Finance, American Finance Association, vol. 29(2), pages 449-470, May.
    12. Longstaff, Francis A & Schwartz, Eduardo S, 1995. "A Simple Approach to Valuing Risky Fixed and Floating Rate Debt," Journal of Finance, American Finance Association, vol. 50(3), pages 789-819, July.
    13. William F. Sharpe, 1964. "Capital Asset Prices: A Theory Of Market Equilibrium Under Conditions Of Risk," Journal of Finance, American Finance Association, vol. 19(3), pages 425-442, September.
    14. Livio Marangio & Massimo Massimo & Alessandro Ramponi, 2002. "A Review Of Techniques For The Estimation Of The Term Structure," International Journal of Theoretical and Applied Finance (IJTAF), World Scientific Publishing Co. Pte. Ltd., vol. 5(02), pages 189-221.
    15. Schläfer, Timo & Uhrig-Homburg, Marliese, 2014. "Is recovery risk priced?," Journal of Banking & Finance, Elsevier, vol. 40(C), pages 257-270.
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