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A jump-diffusion model for pricing corporate debt securities in a complex capital structure

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  • M. Kijima
  • T. Suzuki

Abstract

This paper proposes a jump-diffusion model, in closed form, to price corporate debt securities, senior and junior, with the same maturity and violation of the absolute priority rule. We take the structural approach that the firm's asset value follows a jump-diffusion process in a stochastic interest rate economy. Default occurs only if the firm value at the maturity of the corporate debts is less than the sum of the prespecified face values. Unlike previous models in the structural approach, our model is consistent with the current term structures of credit spreads for both senior and junior debts. In particular, it captures realistic short maturity credit spreads observed in the market. The key idea is to allow the jump intensity to be a time-dependent function. As an application, valuation of credit spread options is presented.

Suggested Citation

  • M. Kijima & T. Suzuki, 2001. "A jump-diffusion model for pricing corporate debt securities in a complex capital structure," Quantitative Finance, Taylor & Francis Journals, vol. 1(6), pages 611-620.
    • Handle: RePEc:taf:quantf:v:1:y:2001:i:6:p:611-620
    DOI: 10.1088/1469-7688/1/6/303
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    Cited by:

    1. Nystrom, Kaj & Skoglund, Jimmy, 2006. "A credit risk model for large dimensional portfolios with application to economic capital," Journal of Banking & Finance, Elsevier, vol. 30(8), pages 2163-2197, August.
    2. Nan Chen & S. G. Kou, 2009. "Credit Spreads, Optimal Capital Structure, And Implied Volatility With Endogenous Default And Jump Risk," Mathematical Finance, Wiley Blackwell, vol. 19(3), pages 343-378, July.
    3. Olivier Courtois & Xiaoshan Su, 2020. "Structural Pricing of CoCos and Deposit Insurance with Regime Switching and Jumps," Asia-Pacific Financial Markets, Springer;Japanese Association of Financial Economics and Engineering, vol. 27(4), pages 477-520, December.
    4. Masaaki Kijima & Teruyoshi Suzuki & Keiichi Tanaka, 2009. "A latent process model for the pricing of corporate securities," Mathematical Methods of Operations Research, Springer;Gesellschaft für Operations Research (GOR);Nederlands Genootschap voor Besliskunde (NGB), vol. 69(3), pages 439-455, July.
    5. Nyström, Kaj, 2008. "On deposit volumes and the valuation of non-maturing liabilities," Journal of Economic Dynamics and Control, Elsevier, vol. 32(3), pages 709-756, March.
    6. Consigli, Giorgio, 2002. "Tail estimation and mean-VaR portfolio selection in markets subject to financial instability," Journal of Banking & Finance, Elsevier, vol. 26(7), pages 1355-1382, July.
    7. John Lau & Tak Siu, 2008. "Pricing Risky Debts Under a Markov-modudated Merton Model with Completely Random Measures," Computational Economics, Springer;Society for Computational Economics, vol. 31(3), pages 255-288, April.
    8. Albrecht, Peter, 2005. "Kreditrisiken - Modellierung und Management: Ein Überblick," German Risk and Insurance Review (GRIR), University of Cologne, Department of Risk Management and Insurance, vol. 1(2), pages 22-152.
    9. Moraux, Franck, 2004. "Modeling the business risk of financially weakened firms: A new approach for corporate bond pricing," International Review of Financial Analysis, Elsevier, vol. 13(1), pages 47-61.
    10. Michael Tortorella, 2013. "On cumulative jump random variables," Annals of Operations Research, Springer, vol. 206(1), pages 485-500, July.

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