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Rating, Credit Spread, and Pricing Risky Debt: Empirical Study on Taiwan's Security Market

Author

Listed:
  • Ken Hung

    (Department of Finance, National Dong Hwa University)

  • Chang-Wen Duan

    (Department of Finance, Tamkang University)

  • Chin W. Yang

    (Department of Economics, Clarion University)

Abstract

This paper focuses on evaluating the credit risk of corporate bond in the fixed income market of Taiwan. We apply Vasicek (1977) model into Merton's (1974) option framework and obtain a closed-form solution of the options model. The solution algorithm employs the Newton-Raphson method in combination with the inverse quadratic interpolation and bisection technique of Dekker (1967) to find out the roots and calculate the credit spread. The result shows that the average credit spread is 1.346%, and the credit spread of TSE (Taiwan Stock Exchange) listed firm is higher than that of OTC firms, while the one with bank guarantee is higher than the one without. We find negative correlation between VaR rating, TEJ (Taiwan Economic Journal) rating and credit spread, implying that the higher the market risk is, the lower the required premium is by the bondholders, and credit spread is expected to be lower. Testing the hypothesis of Duffee (1998), we find a negative correlation between the Taiwan Stock weighted index and credit spread. It implies that the term structure of interest rate is an upward type. As firm's equity value rises, the index return follows suit. While the bond default probability decreases, and the credit spread is expected to decrease.

Suggested Citation

  • Ken Hung & Chang-Wen Duan & Chin W. Yang, 2006. "Rating, Credit Spread, and Pricing Risky Debt: Empirical Study on Taiwan's Security Market," Annals of Economics and Finance, Society for AEF, vol. 7(2), pages 405-424, November.
    • Handle: RePEc:cuf:journl:y:2006:v:7:i:2:p:405-424
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    References listed on IDEAS

    as
    1. Vasicek, Oldrich, 1977. "An equilibrium characterization of the term structure," Journal of Financial Economics, Elsevier, vol. 5(2), pages 177-188, November.
    2. Pindyck, Robert S., 1993. "Investments of uncertain cost," Journal of Financial Economics, Elsevier, vol. 34(1), pages 53-76, August.
    3. Vasicek, Oldrich Alfonso, 1977. "Abstract: An Equilibrium Characterization of the Term Structure," Journal of Financial and Quantitative Analysis, Cambridge University Press, vol. 12(4), pages 627-627, November.
    4. 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.
    5. John C. Cox & Jonathan E. Ingersoll Jr. & Stephen A. Ross, 2005. "A Theory Of The Term Structure Of Interest Rates," World Scientific Book Chapters, in: Sudipto Bhattacharya & George M Constantinides (ed.), Theory Of Valuation, chapter 5, pages 129-164, World Scientific Publishing Co. Pte. Ltd..
    6. Robert C. Merton, 2005. "Theory of rational option pricing," World Scientific Book Chapters, in: Sudipto Bhattacharya & George M Constantinides (ed.), Theory Of Valuation, chapter 8, pages 229-288, World Scientific Publishing Co. Pte. Ltd..
    7. Black, Fischer & Scholes, Myron S, 1973. "The Pricing of Options and Corporate Liabilities," Journal of Political Economy, University of Chicago Press, vol. 81(3), pages 637-654, May-June.
    8. Gregory R. Duffee, 1998. "The Relation Between Treasury Yields and Corporate Bond Yield Spreads," Journal of Finance, American Finance Association, vol. 53(6), pages 2225-2241, December.
    9. Rabinovitch, Ramon, 1989. "Pricing Stock and Bond Options when the Default-Free Rate is Stochastic," Journal of Financial and Quantitative Analysis, Cambridge University Press, vol. 24(4), pages 447-457, December.
    10. Raymond King, 1986. "Convertible Bond Valuation: An Empirical Test," Journal of Financial Research, Southern Finance Association;Southwestern Finance Association, vol. 9(1), pages 53-69, March.
    11. 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.
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    Cited by:

    1. Su-Lien Lu & Kuo-Jung Lee, 2021. "Investigating the Determinants of Credit Spread Using a Markov Regime-Switching Model: Evidence from Banks in Taiwan," Sustainability, MDPI, vol. 13(17), pages 1-25, August.

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    More about this item

    Keywords

    Credit spread; Default risk; Interest rate risk; Market price of risk; Put-call parity; VaR (Value at Risk);
    All these keywords.

    JEL classification:

    • C61 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling - - - Optimization Techniques; Programming Models; Dynamic Analysis
    • C63 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling - - - Computational Techniques
    • G12 - Financial Economics - - General Financial Markets - - - Asset Pricing; Trading Volume; Bond Interest Rates
    • G13 - Financial Economics - - General Financial Markets - - - Contingent Pricing; Futures Pricing

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