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Analyzing Short-Rate Models for Efficient Bond Option Pricing: A Review

Author

Listed:
  • Indu Rani

    (Maulana Azad National Institute of Technology)

  • Chandan Kumar Verma

    (Maulana Azad National Institute of Technology)

Abstract

Short-rate models play an essential part in option pricing by accurately modeling interest rate movements and valuing interest rate derivatives. This review paper provides an in-depth analysis of zero-coupon bond option pricing, with a detailed exploration of the single-factor short-rate models. Starting with a thorough overview of the relevant literature, the study scrutinizes the intricacies of one-factor short-rate models, elucidating their theoretical underpinnings and practical implications within the current research landscape. Various methodological approaches utilized in previous years are examined, highlighting their strengths and limitations. The primary significance of this paper lies in its systematic review of seminal and recent scholarly articles focusing parametric approaches, offering a critical evaluation of methodologies, assumptions, and findings. Moreover, the paper identifies gaps in the current literature and proposes potential areas for future research in the domain.

Suggested Citation

  • Indu Rani & Chandan Kumar Verma, 2024. "Analyzing Short-Rate Models for Efficient Bond Option Pricing: A Review," SN Operations Research Forum, Springer, vol. 5(3), pages 1-26, September.
    • Handle: RePEc:spr:snopef:v:5:y:2024:i:3:d:10.1007_s43069-024-00351-7
    DOI: 10.1007/s43069-024-00351-7
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    References listed on IDEAS

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    1. Chao Guo & Ning Yao, 2023. "A Hamiltonian Approach to Barrier Option Pricing Under Vasicek Model," Papers 2307.07103, arXiv.org, revised Dec 2024.
    2. Vincenzo Russo & Gabriele Torri, 2019. "Calibration of one-factor and two-factor Hull–White models using swaptions," Computational Management Science, Springer, vol. 16(1), pages 275-295, February.
    3. Xinyue Wei & Cuilian You & Yujie Zhang, 2023. "European Option Pricing Under Fuzzy CEV Model," Journal of Optimization Theory and Applications, Springer, vol. 196(2), pages 415-432, February.
    4. Yongwoong Lee & Kisung Yang, 2020. "Finite Difference Method for the Hull–White Partial Differential Equations," Mathematics, MDPI, vol. 8(10), pages 1-11, October.
    5. Josheski Dushko & Apostolov Mico, 2021. "Equilibrium Short-Rate Models Vs No-Arbitrage Models: Literature Review and Computational Examples," Econometrics. Advances in Applied Data Analysis, Sciendo, vol. 25(3), pages 42-71, September.
    6. Qi Zhang & Qi Wang & Ping Zuo & Hongbo Du & Fangfang Wu, 2023. "Projection and Contraction Method for Pricing American Bond Options," Mathematics, MDPI, vol. 11(22), pages 1-13, November.
    7. Vasicek, Oldrich Alfonso, 1977. "Abstract: An Equilibrium Characterization of the Term Structure," Journal of Financial and Quantitative Analysis, Cambridge University Press, vol. 12(4), pages 627-627, November.
    8. Lewis, Vivien & Roth, Markus, 2018. "Interest rate rules under financial dominance," Journal of Economic Dynamics and Control, Elsevier, vol. 95(C), pages 70-88.
    9. Peter Ritchken & L. Sankarasubramanian, 1995. "Volatility Structures Of Forward Rates And The Dynamics Of The Term Structure1," Mathematical Finance, Wiley Blackwell, vol. 5(1), pages 55-72, January.
    10. Yuecai Han & Fengtong Zhang, 2024. "Pricing fixed income derivatives under a three-factor CIR model with unspanned stochastic volatility," Review of Derivatives Research, Springer, vol. 27(1), pages 37-53, April.
    11. Mercurio, F. & Moraleda, J. M., 2000. "An analytically tractable interest rate model with humped volatility," European Journal of Operational Research, Elsevier, vol. 120(1), pages 205-214, January.
    12. John C. Cox & Jonathan E. Ingersoll Jr. & Stephen A. Ross, 2005. "A Theory Of The Term Structure Of Interest Rates," World Scientific Book Chapters, in: Sudipto Bhattacharya & George M Constantinides (ed.), Theory Of Valuation, chapter 5, pages 129-164, World Scientific Publishing Co. Pte. Ltd..
    13. Black, Fischer & Scholes, Myron S, 1973. "The Pricing of Options and Corporate Liabilities," Journal of Political Economy, University of Chicago Press, vol. 81(3), pages 637-654, May-June.
    14. Lehrer, Ehud & Light, Bar, 2018. "The effect of interest rates on consumption in an income fluctuation problem," Journal of Economic Dynamics and Control, Elsevier, vol. 94(C), pages 63-71.
    15. Xiaoting Gan & Dengguo Xu, 2020. "On the Convergence of a Crank–Nicolson Fitted Finite Volume Method for Pricing American Bond Options," Mathematical Problems in Engineering, Hindawi, vol. 2020, pages 1-13, May.
    16. Kladívko, Kamil & Rusý, Tomáš, 2023. "Maximum likelihood estimation of the Hull–White model," Journal of Empirical Finance, Elsevier, vol. 70(C), pages 227-247.
    17. Chao Yue & Chuanhe Shen & M. M. Bhatti, 2024. "Lie Symmetry Analysis for the Fractal Bond-Pricing Model of Mathematical Finance," Journal of Mathematics, Hindawi, vol. 2024, pages 1-7, January.
    18. Ho, Thomas S Y & Lee, Sang-bin, 1986. "Term Structure Movements and Pricing Interest Rate Contingent Claims," Journal of Finance, American Finance Association, vol. 41(5), pages 1011-1029, December.
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