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The Pricing of Options on Debt Securities

Author

Listed:
  • Rendleman, Richard J.
  • Bartter, Brit J.

Abstract

In this paper we present a method for valuing American and European put and call options on debt securities. Although no exhange-traded options of this type currently exist in the United States, the Chicago Board Options Exchange plans to introduce option contracts on several government bonds, and the Chicago Board of Trade petitioned the Commodities Futures Trading Commission to allow the trading of options on the Ginny Mae futures contract. In addition to pricing put and call options, the model developed here can be applied to the valuation of other securities such as callable bonds and bank loan commitments.

Suggested Citation

  • Rendleman, Richard J. & Bartter, Brit J., 1980. "The Pricing of Options on Debt Securities," Journal of Financial and Quantitative Analysis, Cambridge University Press, vol. 15(1), pages 11-24, March.
    • Handle: RePEc:cup:jfinqa:v:15:y:1980:i:01:p:11-24_00
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    Citations

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    Cited by:

    1. Yedidya Rabinovitz, 2017. "A new S.D.E. and instantaneous mean reversion rate formula (presented via a numerical empirical model comparison)," International Journal of Financial Engineering (IJFE), World Scientific Publishing Co. Pte. Ltd., vol. 4(02n03), pages 1-22, June.
    2. Dankenbring, Henning, 1998. "Volatility estimates of the short term interest rate with an application to German data," SFB 373 Discussion Papers 1998,96, Humboldt University of Berlin, Interdisciplinary Research Project 373: Quantification and Simulation of Economic Processes.
    3. Zhiqiang Li & Jie Xiong, 2015. "Stability of the filter with Poisson observations," Statistical Inference for Stochastic Processes, Springer, vol. 18(3), pages 293-313, October.
    4. Fergusson, Kevin, 2020. "Less-Expensive Valuation And Reserving Of Long-Dated Variable Annuities When Interest Rates And Mortality Rates Are Stochastic," ASTIN Bulletin, Cambridge University Press, vol. 50(2), pages 381-417, May.
    5. Miloš Kopa & Vittorio Moriggia & Sebastiano Vitali, 2018. "Individual optimal pension allocation under stochastic dominance constraints," Annals of Operations Research, Springer, vol. 260(1), pages 255-291, January.
    6. Andrew H. Chen & David C. Ling, 1989. "Optimal Mortgage Refinancing with Stochastic Interest Rates," Real Estate Economics, American Real Estate and Urban Economics Association, vol. 17(3), pages 278-299, September.
    7. Yatin N. Bhagwat & Michael C. Ehrhardt & David W. Johnson, 1991. "The Two-State Interest Rate Model For Pricing Bonds: An Empirical Analysis," Journal of Financial Research, Southern Finance Association;Southwestern Finance Association, vol. 14(2), pages 105-115, June.
    8. Mondher Bellalah, 2009. "Derivatives, Risk Management & Value," World Scientific Books, World Scientific Publishing Co. Pte. Ltd., number 7175, January.
    9. Alain François-Heude & Ouidad Yousfi, 2014. "On the liquidity of CAC 40 index options market," Post-Print hal-02050806, HAL.
    10. Prakash Chakraborty & Kiseop Lee, 2022. "Bond Prices Under Information Asymmetry and a Short Rate with Instantaneous Feedback," Methodology and Computing in Applied Probability, Springer, vol. 24(2), pages 613-634, June.
    11. Lesseig, Vance P. & Stock, Duane, 2000. "Impact of Correlation of Asset Value and Interest Rates upon Duration and Convexity of Risky Debt," Journal of Business Research, Elsevier, vol. 49(3), pages 289-301, September.
    12. Josheski Dushko & Apostolov Mico, 2020. "A Review of the Binomial and Trinomial Models for Option Pricing and their Convergence to the Black-Scholes Model Determined Option Prices," Econometrics. Advances in Applied Data Analysis, Sciendo, vol. 24(2), pages 53-85, June.
    13. Bahram Pesaran & Gary Robinson, 1993. "The Statistical Distribution of Short-Term Libor Rates Under Two Monetary Regimes," Bank of England working papers 16, Bank of England.
    14. Kevin John Fergusson, 2018. "Less-Expensive Pricing and Hedging of Extreme-Maturity Interest Rate Derivatives and Equity Index Options Under the Real-World Measure," PhD Thesis, Finance Discipline Group, UTS Business School, University of Technology, Sydney, number 3-2018.
    15. repec:uts:finphd:40 is not listed on IDEAS
    16. Zura Kakushadze, 2015. "Coping with Negative Short-Rates," Papers 1502.06074, arXiv.org, revised Aug 2015.
    17. François-Heude, Alain & Yousfi, Ouidad, 2013. "On the liquidity of CAC 40 index options Market," MPRA Paper 47921, University Library of Munich, Germany, revised 01 Jul 2013.
    18. Bali, Turan G., 2003. "Modeling the stochastic behavior of short-term interest rates: Pricing implications for discount bonds," Journal of Banking & Finance, Elsevier, vol. 27(2), pages 201-228, February.
    19. Francisco Venegas Martínez, 2001. "Opciones, cobertura y procesos de difusión con saltos: Una aplicación a los títulos de Gcarso," Estudios Económicos, El Colegio de México, Centro de Estudios Económicos, vol. 16(2), pages 203-226.
    20. Michael J. Tomas & Jun Yu, 2021. "An Asymptotic Solution for Call Options on Zero-Coupon Bonds," Mathematics, MDPI, vol. 9(16), pages 1-23, August.
    21. Gibson, Rajna & Lhabitant, Francois-Serge & Talay, Denis, 2010. "Modeling the Term Structure of Interest Rates: A Review of the Literature," Foundations and Trends(R) in Finance, now publishers, vol. 5(1–2), pages 1-156, December.
    22. Sercu, P., 1991. "Bond options and bond portfolio insurance," Insurance: Mathematics and Economics, Elsevier, vol. 10(3), pages 203-230, December.

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