Soft Computing

, Volume 22, Issue 17, pp 5835–5841 | Cite as

Two-factor term structure model with uncertain volatility risk

  • Xiaowei Chen
  • Jinwu GaoEmail author


This paper aims to study two-factor uncertain term structure model where the volatility of the uncertain interest rate is driven by another uncertain differential equation. In order to solve this model, the nested uncertain differential equation method is employed. This paper is also devoted to the study of the numerical solutions for the proposed nested uncertain differential equation using the \(\alpha \)-path methods. We also use the built two-factor term structure model to value the bond price with the help of proposed numerical method. Finally, we give a numerical example where the price of a zero-coupon bond is calculated based on the \(\alpha \)-path methods.


Two-factor term structure Uncertain short interest rate Volatility risk Bond pricing Uncertain differential equation 



The author gratefully acknowledges the financial support provided by National Natural Science Foundation of China (Grant Nos. 61673225, 61304182 and 61374082), Distinguished Young Scholar Project of Renmin University of China and China Scholarship Council under Grant 201606365008.

Compliance with ethical standards

Conflict of interest

The authors declare that there is no conflict of interest regarding the publication of this paper.

Ethical approval

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


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Copyright information

© Springer-Verlag GmbH Germany 2017

Authors and Affiliations

  1. 1.School of FinanceNankai UniversityTianjinChina
  2. 2.Collaborative Innovation Center for China EconomyNankai UniversityTianjinChina
  3. 3.Uncertain Systems Lab, School of InformationRenmin University of ChinaBeijingChina
  4. 4.Edward P. Fitts Department of Industrial and Systems EngineeringNorth Carolina State UniversityRaleighUSA

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