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Risk Management for Bonds with Embedded Options

Author

Listed:
  • Antonio Díaz

    (Department of Economics and Finance, University of Castilla-La Mancha, 02071 Albacete, Spain)

  • Marta Tolentino

    (Department of Economics and Finance, University of Castilla-La Mancha, 13003 Ciudad Real, Spain)

Abstract

This paper examines the behavior of the interest rate risk management measures for bonds with embedded options and studies factors it depends on. The contingent option exercise implies that both the pricing and the risk management of bonds requires modelling future interest rates. We use the Ho and Lee (HL) and Black, Derman, and Toy (BDT) consistent interest rate models. In addition, specific interest rate measures that consider the contingent cash-flow structure of these coupon-bearing bonds must be computed. In our empirical analysis, we obtained evidence that effective duration and effective convexity depend primarily on the level of the forward interest rate and volatility. In addition, the higher the interest rate change and the lower the volatility, the greater the differences in pricing of these bonds when using the HL or BDT models.

Suggested Citation

  • Antonio Díaz & Marta Tolentino, 2020. "Risk Management for Bonds with Embedded Options," Mathematics, MDPI, vol. 8(5), pages 1-12, May.
    • Handle: RePEc:gam:jmathe:v:8:y:2020:i:5:p:790-:d:357708
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    References listed on IDEAS

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    1. 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..
    2. 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.
    3. Annaert, Jan & Claes, Anouk G.P. & De Ceuster, Marc J.K. & Zhang, Hairui, 2015. "Estimating the long rate and its volatility," Economics Letters, Elsevier, vol. 129(C), pages 100-102.
    4. Nelson, Charles R & Siegel, Andrew F, 1987. "Parsimonious Modeling of Yield Curves," The Journal of Business, University of Chicago Press, vol. 60(4), pages 473-489, October.
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    Cited by:

    1. Paoyu Huang & Chih-Te Yang & Yuhsin Chen & Yensen Ni, 2023. "A New Look on the Profitability of Fixed and Indexed Mortgage Products," Mathematics, MDPI, vol. 11(17), pages 1-16, August.

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