Soft Computing

, Volume 22, Issue 17, pp 5625–5630 | Cite as

Credit spread index of fixed income securities in China

  • Huishan Wu
  • Yuanying Jiang
  • Yunqian Ma
  • Bo ZhangEmail author


Credit risk of fixed income securities is widely concerned during bond trading and risk monitoring, which can be measured by an important economic indicator credit spreads. This paper establishes a credit spread index by GZ model based on yield-to-maturity data of corporate bonds and government bonds from inter-bank bond market in China. In order to analyze the dynamic characteristics of credit spread index, we use GARCH model with Markov-switching process to fit the volatility of credit spread index data and estimate the unknown parameters by MCMC algorithm. The results show that the credit spread index can well reflect the trends and volatilities of the corporate bond credit spreads.


Fixed income securities Credit spread index Credit risk Markov-switching 



This research was partially supported by NSFC (71471173, 71271210), the Fundamental Research Funds for the Central Universities, the Research Funds of RUC (10XNL007) and the MOE Project of Key Research Institute of Humanities and Social Sciences at Universities (14JJD910002).  The Huishan Wu’s research was partially supported by the Scientific Research Level Improvement Quota Project of Capital University of Economics and Business, the Scientific Research Project of Guangxi Colleges and Universities (KY2015ZD054), the Guangxi Provincial Natural Science Foundation of China (2014GXNSFAA118015).

Compliance with ethical standards

Conflict of interest

The authors declare that they have no conflict of interest.

Ethical approval

This article does not contain any studies with human participants or animals performed by any of the authors.


  1. Artzner P, Delbaen F (1995) Default risk insurance and incomplete market. Math Financ 5:187–195CrossRefzbMATHGoogle Scholar
  2. Bevan A, Garzarelli F (2000) Corporate bond spreads and the business cycle: introducing GS-SPREAD. J Fixed Income 3:8–18CrossRefGoogle Scholar
  3. Black F, Cox JC (1976) Valuing corporate securities: some effects of bond indenture provisions. J Financ 31:351–367CrossRefGoogle Scholar
  4. Briys E, de Varenne F (1997) Valuing risky fixed rate debt: an extension. J Financ Quant Anal 31:239–248CrossRefGoogle Scholar
  5. Campbell JY, Taksler GB (2003) Equity volatility and corporate bond yields. J Financ 58:2321–2350CrossRefGoogle Scholar
  6. Collin-Dufresne P, Goldstein RS (2001) Do credit spreads reflect stationary leverage ratios? J Financ 56:1929–1957CrossRefGoogle Scholar
  7. Cremers KJM, Driessen J, Maenhout PJ (2008) Explaining the level of credit spreads: option-implied jump risk premia in a firm value model. Rev Financ Stud 21:2209–2242CrossRefGoogle Scholar
  8. Duffie D, Singleton K (1999) Modeling term structures of defaultable bonds. Rev Financ Stud 12:687–720CrossRefGoogle Scholar
  9. Duffie D, Lando D (2001) Term structure of credit spread with incomplete accounting information. Econometric 69:633–664MathSciNetCrossRefzbMATHGoogle Scholar
  10. Elliott R, Jeanblanc M, Yor M (2000) On models of default risk. Math Financ 10:179–195MathSciNetCrossRefzbMATHGoogle Scholar
  11. Feng ZX, Guo JW, Sun K (2009) Credit spreads of corporate bond and dynamic research. J Financ Res 3:54–71Google Scholar
  12. Geske RL, Gordon D (2001) The components of corporate credit spreads: default, recovery, taxes, jumps, liquidity, and market factors. Working Paper Series, Anderson Graduate School of Management, UCLAGoogle Scholar
  13. Gilchrist S, Yankov V, Zakrajsek E (2009) Credit market shocks and economic fluctuations: evidence from corporate bond and stock markets. J Monet Econ 56(4):471–493CrossRefGoogle Scholar
  14. Hamilton JD (1989) A new approach to the economic analysis of nonstationary time series and the business cycle. Econometrica 57:357–384MathSciNetCrossRefzbMATHGoogle Scholar
  15. Hamilton JD, Susmel R (1994) Autoregressive conditional heteroskedasticity and changes in regime. J Econom 64:307–333CrossRefzbMATHGoogle Scholar
  16. Jarrow RA, Turnbull SM (1992) Credit risk: drawing the analogy. Risk Mag 5:63–70Google Scholar
  17. Jarrow RA, Turnbull SM (1995) Pricing derivatives on financial securities subject to credit risk. J Financ 50:53–85CrossRefGoogle Scholar
  18. Jarrow R, Protter P (2004) Structural versus reduced form models: a new information based perspective. J Invest Manag 2:1–10Google Scholar
  19. Jarrow RA, Lando D, Turnbull SM (1997) A Markov model for the term structure of credit risk spreads. Rev Financ Stud 10:481–523CrossRefGoogle Scholar
  20. Jeanblanc M, Rutkowski M (2002) Default risk and hazard processes. Math Financ Bachelier Conf 2000:281–312zbMATHGoogle Scholar
  21. Klaassen F (2002) Improving GARCH volatility forecasting with regime-switching GARCH. Empir Econ 27:363–394CrossRefGoogle Scholar
  22. Lee HY, Chen SL (2006) Why use Markov-switching models in exchange rate predition? Econ Modell 23:662–668CrossRefGoogle Scholar
  23. Leland HE (1998) Presendential address, agency costs, risk management, and capital structure. J Financ 53:1213–1243CrossRefGoogle Scholar
  24. Liu SC, Niu WN, Zhou RX (2014) Research on the dynamic process of credit spreads of China’s bonds based on SV model. J Manag Sci China 3:37–48Google Scholar
  25. Longstaff FA, Schwartz ES (1995) A simple approach to valuing risky fixed and floating rate debt. J Financ 50:789–821CrossRefGoogle Scholar
  26. Madan DB, Unal H (1998) Pricing the risk of default. Rev Deriv Res 2:120–160zbMATHGoogle Scholar
  27. Merton RC (1974) On the pricing of corporate debt, the risk structure of interest rates. J Financ 29:449–470Google Scholar
  28. Pynnonen S, Hogan WP, Batten JA (2006) Dynamic equilibrium correction modeling of yen eurobond credit spread. IIIS Discussion Paper, Series 127Google Scholar
  29. Smith DR (2002) Markov–Switching and stochastic volatility diffusion models of short-term interest rates. J Bus Econ Stat 20:183–197MathSciNetCrossRefGoogle Scholar
  30. Van Landschoot A (2008) Determinants of yield spread dynamics, Euro versus US dollar corporate bonds. J Bank Financ 32:2597–2605CrossRefGoogle Scholar
  31. Xie C, Chen H (2004) Description and analysis on behavior of the interest rates of the R091 in the Shanghai security exchange. Chin J Manag 7:53–57Google Scholar
  32. Xue YF (2012) Credit spread and Chinese macro economy fluctuation: an empirical study based on a new constructed credit spread index. J Lanzhou Commercial College 28:70–74Google Scholar
  33. Yu C, Zhang JX (2011) Bayesian approach to markov switching stochastic volatility model with jumps. Commun Stat Simul Comput 40:1613–1626MathSciNetCrossRefzbMATHGoogle Scholar
  34. Zhou C (2001a) An analysis of default correlations and multiple defaults. Rev Financ Stud 14:555–576CrossRefGoogle Scholar
  35. Zhou C (2001b) The term structure of credit spreads with jump risk. J Bank Financ 25:2015–2040CrossRefGoogle Scholar
  36. Zhu S, Ying W (2000) A positive research on issuing scale of national debt. J Financ Res 11:49–57Google Scholar

Copyright information

© Springer-Verlag Berlin Heidelberg 2017

Authors and Affiliations

  1. 1.School of StatisticsCapital University of Economics and BusinessBeijingChina
  2. 2.College of ScienceGuilin University of TechnologyGuangxiChina
  3. 3.Institute of Food and Nutrition DevelopmentMinistry of AgricultureBeijingChina
  4. 4.Center for Applied Statistics, School of StatisticsRenmin University of ChinaBeijingChina

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