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Utility indifference valuation of corporate bond with credit rating migration by structure approach

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  • Liang, Jin
  • Zhao, Yuejuan
  • Zhang, Xudan

Abstract

An indifference pricing model for corporate bond with rating migration risk is established in this article. Under the structural framework, the credit rating migration is modeled by the first attempt in an incomplete market, so far as we know. The model results in a HJB system. With the help of the dynamic programming theory, a closed form solution is derived by imposing a condition on the credit rating migration boundary. With the explicit migration boundary and closed form solution, the model is easy to be applied in practice. Based on the pricing formula, the impacts of the parameters on the indifference price are analyzed and relative financial explanations are discussed.

Suggested Citation

  • Liang, Jin & Zhao, Yuejuan & Zhang, Xudan, 2016. "Utility indifference valuation of corporate bond with credit rating migration by structure approach," Economic Modelling, Elsevier, vol. 54(C), pages 339-346.
  • Handle: RePEc:eee:ecmode:v:54:y:2016:i:c:p:339-346
    DOI: 10.1016/j.econmod.2015.12.002
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    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. Black, Fischer & Cox, John C, 1976. "Valuing Corporate Securities: Some Effects of Bond Indenture Provisions," Journal of Finance, American Finance Association, vol. 31(2), pages 351-367, May.
    3. Barsotti, Flavia & Viva, Luca Del, 2015. "Performance and determinants of the Merton structural model: Evidence from hedging coefficients," Journal of Banking & Finance, Elsevier, vol. 58(C), pages 95-111.
    4. Duffie, Darrell & Singleton, Kenneth J, 1999. "Modeling Term Structures of Defaultable Bonds," Review of Financial Studies, Society for Financial Studies, vol. 12(4), pages 687-720.
    5. 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..
    6. Leland, Hayne E, 1994. "Corporate Debt Value, Bond Covenants, and Optimal Capital Structure," Journal of Finance, American Finance Association, vol. 49(4), pages 1213-1252, September.
    7. Aivazian, Varouj A. & Callen, Jeffrey L. & Krinsky, Itzhak & Kwan, Clarence C. Y., 1983. "Mean-Variance Utility Functions and the Demand for Risky Assets: An Empirical Analysis Using Flexible Functional Forms," Journal of Financial and Quantitative Analysis, Cambridge University Press, vol. 18(4), pages 411-424, December.
    8. 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..
    9. Schaefer, Stephen M. & Strebulaev, Ilya A., 2008. "Structural models of credit risk are useful: Evidence from hedge ratios on corporate bonds," Journal of Financial Economics, Elsevier, vol. 90(1), pages 1-19, October.
    10. Westerlund, Joakim & Narayan, Paresh Kumar, 2012. "Does the choice of estimator matter when forecasting returns?," Journal of Banking & Finance, Elsevier, vol. 36(9), pages 2632-2640.
    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. Leland, Hayne E & Toft, Klaus Bjerre, 1996. "Optimal Capital Structure, Endogenous Bankruptcy, and the Term Structure of Credit Spreads," Journal of Finance, American Finance Association, vol. 51(3), pages 987-1019, July.
    13. 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.
    14. Phan, Dinh Hoang Bach & Sharma, Susan Sunila & Narayan, Paresh Kumar, 2015. "Stock return forecasting: Some new evidence," International Review of Financial Analysis, Elsevier, vol. 40(C), pages 38-51.
    15. Thomas, Lyn C. & Allen, David E. & Morkel-Kingsbury, Nigel, 2002. "A hidden Markov chain model for the term structure of bond credit risk spreads," International Review of Financial Analysis, Elsevier, vol. 11(3), pages 311-329.
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    2. Shaozhen Chen & Bangqian Zhang & Jinjin Deng, 2018. "Research on Risk Measurement in Financial Market Based on GARCH-VaR and FHS¡ª¡ªAn Example of Chinese Bond Market," Applied Economics and Finance, Redfame publishing, vol. 5(4), pages 102-116, July.

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