A New Default Intensity Model with Fuzziness and Hesitation
- DOI
- 10.1080/18756891.2016.1161345How to use a DOI?
- Keywords
- Intensity model; Fuzziness and Hesitation; Triangular intuitionistic fuzzy numbers; CDS pricing
- Abstract
With the increased financial market volatility, corporate defaults will suffer from the double impact of the external shocks and internal contagion effects. In the existing stochastic default intensity models, the valuation of sensitivity parameters requires a lot of historical data, however, the limited market data does not guarantee the accuracy of parameter estimation, meanwhile, due to the people have a lot of fuzziness and hesitation judgements on the default process, it is necessary for us to let the corresponding random parameter of the default intensity to be a triangular intuitionistic fuzzy interval value. In this paper, we propose a new default intensity model based on the external shocks and internal contagion effects, and introduce the triangular intuitionistic fuzzy numbers into the credit default swaps (CDS) pricing modeling to describe the fuzziness and hesitation of the default process. In the end, we get a new fuzzy form pricing formula for CDS, and by the simulation analysis, we obtain that, all kinds of fuzziness and hesitation of the market have significant impact on credit spreads, and a model result with a consideration of the fair price of CDS in a fuzzy random environment including a pure random environment result. Compared with the existing stochastic model, these proper interval results can offer the investors more flexible options and can more reflect the impact of market environment on credit spreads.
- Copyright
- © 2016. the authors. Co-published by Atlantis Press and Taylor & Francis
- Open Access
- This is an open access article under the CC BY-NC license (http://creativecommons.org/licences/by-nc/4.0/).
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TY - JOUR AU - Liang Wu AU - Ya-ming Zhuang AU - Wen Li PY - 2016 DA - 2016/04/01 TI - A New Default Intensity Model with Fuzziness and Hesitation JO - International Journal of Computational Intelligence Systems SP - 340 EP - 350 VL - 9 IS - 2 SN - 1875-6883 UR - https://doi.org/10.1080/18756891.2016.1161345 DO - 10.1080/18756891.2016.1161345 ID - Wu2016 ER -