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The influence of a stochastic interest rate on the n-fold compound option

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  • THOMASSEN, Liesbeth
  • VAN WOUWE, Martine

Abstract

We reintroduced the idea of an n-fold compound option as a generalization of Geske’s (2- fold) compound option in the same framework of constant interest rates. For the valuation of long-term financial agreements (life insurance products) this assumption is not always realistic. So that the stochastic modelling of the interest rates might be a better approach. According to Miltersen et al., we will use the requirement of simple interest rates over a fixed finite period to be log-normal distributed, instead of the continuously compounded interest rates. With these assumptions, closed-form solutions are determined for the n-fold compound call options written on zero-coupon bonds.

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  • THOMASSEN, Liesbeth & VAN WOUWE, Martine, "undated". "The influence of a stochastic interest rate on the n-fold compound option," Working Papers 2003010, University of Antwerp, Faculty of Business and Economics.
    • Handle: RePEc:ant:wpaper:2003010
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    File URL: https://repository.uantwerpen.be/docman/irua/cbbe22/ab64735b.pdf
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    References listed on IDEAS

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    1. Geske, Robert, 1979. "The valuation of compound options," Journal of Financial Economics, Elsevier, vol. 7(1), pages 63-81, March.
    2. Miltersen, Kristian R & Sandmann, Klaus & Sondermann, Dieter, 1997. "Closed Form Solutions for Term Structure Derivatives with Log-Normal Interest Rates," Journal of Finance, American Finance Association, vol. 52(1), pages 409-430, March.
    3. Klaus Sandmann & Dieter Sondermann, 1997. "A Note on the Stability of Lognormal Interest Rate Models and the Pricing of Eurodollar Futures," Mathematical Finance, Wiley Blackwell, vol. 7(2), pages 119-125, April.
    4. 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.
    5. THOMASSEN, Liesbeth & VAN WOUWE, Martine, "undated". "The n-fold compound option," Working Papers 2001041, University of Antwerp, Faculty of Business and Economics.
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    Cited by:

    1. Cassimon, D. & Engelen, P.J. & Thomassen, L. & Van Wouwe, M., 2007. "Closed-form valuation of American call options on stocks paying multiple dividends," Finance Research Letters, Elsevier, vol. 4(1), pages 33-48, March.

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    Keywords

    Financial; N-fold compound options; Log-normal interest rates;
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