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Mathematical Problems in Engineering
Volume 2015, Article ID 879185, 6 pages
http://dx.doi.org/10.1155/2015/879185
Research Article

Credit Derivatives Pricing Model for Fuzzy Financial Market

1School of Economics and Management, Southeast University, Nanjing, Jiangsu 211189, China
2Department of Mathematics, Henan Institute of Science and Technology, Xinxiang, Henan 453003, China

Received 25 April 2015; Accepted 29 September 2015

Academic Editor: Salvatore Alfonzetti

Copyright © 2015 Liang Wu et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Linked References

  1. L. A. Zadeh, “Fuzzy sets,” Information and Control, vol. 8, no. 3, pp. 338–353, 1965. View at Publisher · View at Google Scholar · View at Zentralblatt MATH · View at Scopus
  2. B. Liu and Y.-K. Liu, “Expected value of fuzzy variable and fuzzy expected value models,” IEEE Transactions on Fuzzy Systems, vol. 10, no. 4, pp. 445–450, 2002. View at Publisher · View at Google Scholar · View at Scopus
  3. B. Liu, “Fuzzy process, hybrid process and uncertain process,” Journal of Uncertain Systems, vol. 2, no. 1, pp. 3–16, 2008. View at Google Scholar
  4. C. You, “Multi-dimensional Liu process, differential and integral,” in Proceedings of the 1st Intelligent Computing Conference, pp. 153–158, Lushan, China, October 2007.
  5. J. Peng, “Credibilistic stopping problems for fuzzy stock market,” 2007, http://orsc.edu.cn/process/071125.pdf.
  6. Z. F. Qin and X. Li, “Option pricing formula for fuzzy financial market,” Journal of Uncertain Systems, vol. 2, no. 1, pp. 17–21, 2008. View at Google Scholar
  7. J. Peng, “A general stock model for fuzzy markets,” Journal of Uncertain Systems, vol. 2, no. 4, pp. 248–254, 2008. View at Google Scholar
  8. Z. F. Qin and X. Gao, “Fractional Liu process with application to finance,” Mathematical and Computer Modelling, vol. 50, no. 9-10, pp. 1538–1543, 2009. View at Publisher · View at Google Scholar · View at Scopus
  9. D. Jiao and K. Yao, “An interest rate model in uncertain environment,” Soft Computing, vol. 19, no. 3, pp. 775–780, 2014. View at Publisher · View at Google Scholar · View at Scopus
  10. X. Ji and J. Zhou, “Option pricing for an uncertain stock model with jumps,” Soft Computing, vol. 19, no. 11, pp. 3323–3329, 2015. View at Publisher · View at Google Scholar
  11. Y. Liu, X. Chen, and D. A. Ralescu, “Uncertain currency model and currency option pricing,” International Journal of Intelligent Systems, vol. 30, no. 1, pp. 40–51, 2014. View at Publisher · View at Google Scholar · View at Scopus
  12. L. Wu and Y. M. Zhuang, “A reduced-form intensity-based model under fuzzy environments,” Communications in Nonlinear Science and Numerical Simulation, vol. 22, no. 1–3, pp. 1169–1177, 2015. View at Publisher · View at Google Scholar · View at Scopus
  13. X. Li and Z. Qin, “Expected value and variance of geometric Liu process,” Far East Journal of Experimental and Theoretical Artificial Intelligence, vol. 1, no. 2, pp. 127–135, 2008. View at Google Scholar
  14. B. Liu, Theory and Practice of Uncertain Programming, vol. 239 of Studies in Fuzziness and Soft Computing, Springer, Berlin, Germany, 2009.
  15. B. Liu, “Some research problems in uncertainty theory,” Journal of Uncertain Systems, vol. 3, no. 1, pp. 3–10, 2009. View at Google Scholar
  16. R. C. Merton, “On the pricing of corporate debt: the risk structure of interest rates,” The Journal of Finance, vol. 29, no. 2, pp. 449–470, 1974. View at Publisher · View at Google Scholar
  17. D. X. Li, “On default correlation: a copula approach,” Journal of Banking and Finance, vol. 9, no. 4, pp. 43–54, 2000. View at Google Scholar