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Valuing Interest Rate Swap Contracts in Uncertain Financial Market

Author

Listed:
  • Chen Xiao

    (Department of Electrical and Computer Engineering, Stevens Institute of Technology, Hoboken, NJ 07030, USA
    Current address: School of Finance, Nankai University, Tianjin 300071, China.)

  • Yi Zhang

    (School of Information, Renmin University, Beijing 100872, China)

  • Zongfei Fu

    (School of Information, Renmin University, Beijing 100872, China)

Abstract

Swap is a financial contract between two counterparties who agree to exchange one cash flow stream for another, according to some predetermined rules. When the cash flows are fixed rate interest and floating rate interest, the swap is called an interest rate swap. This paper investigates two valuation models of the interest rate swap contracts in the uncertain financial market. The new models are based on belief degrees, and require relatively less historical data compared to the traditional probability models. The first valuation model is designed for a mean-reversion term structure, while the second is designed for a term structure with hump effect. Explicit solutions are developed by using the Yao–Chen formula. Moreover, a numerical method is designed to calculate the value of the interest rate swap alternatively. Finally, two examples are given to show their applications and comparisons.

Suggested Citation

  • Chen Xiao & Yi Zhang & Zongfei Fu, 2016. "Valuing Interest Rate Swap Contracts in Uncertain Financial Market," Sustainability, MDPI, vol. 8(11), pages 1-10, November.
    • Handle: RePEc:gam:jsusta:v:8:y:2016:i:11:p:1186-:d:83219
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    References listed on IDEAS

    as
    1. Mitra, Sovan & Date, Paresh & Mamon, Rogemar & Wang, I-Chieh, 2013. "Pricing and risk management of interest rate swaps," European Journal of Operational Research, Elsevier, vol. 228(1), pages 102-111.
    2. Li, Haitao & Mao, Connie X., 2003. "Corporate use of interest rate swaps: Theory and evidence," Journal of Banking & Finance, Elsevier, vol. 27(8), pages 1511-1538, August.
    3. Balsam, Steven & Kim, Sungsoo, 2001. "Effects of interest rate swaps," Journal of Economics and Business, Elsevier, vol. 53(6), pages 547-562.
    4. Fanelli, Viviana, 2016. "A defaultable HJM modelling of the Libor rate for pricing Basis Swaps after the credit crunch," European Journal of Operational Research, Elsevier, vol. 249(1), pages 238-244.
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    Cited by:

    1. Xiangfeng Yang & Hua Ke, 2023. "Uncertain interest rate model for Shanghai interbank offered rate and pricing of American swaption," Fuzzy Optimization and Decision Making, Springer, vol. 22(3), pages 447-462, September.
    2. Yu, Yongjiu & Yang, Xiangfeng & Lei, Qing, 2022. "Pricing of equity swaps in uncertain financial market," Chaos, Solitons & Fractals, Elsevier, vol. 154(C).
    3. Jia, Lifen & Liu, Xueyong, 2021. "Optimal harvesting strategy based on uncertain logistic population model," Chaos, Solitons & Fractals, Elsevier, vol. 152(C).
    4. Zhang, Yi & Gao, Jinwu & Huang, Zhiyong, 2017. "Hamming method for solving uncertain differential equations," Applied Mathematics and Computation, Elsevier, vol. 313(C), pages 331-341.

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