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Interest Guarantees in Banking

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  • Ragnar Norberg

Abstract

Interest guarantees on loans and savings contracts are viewed as financial claims and priced by the no arbitrage principle in continuous time Markov interest models of diffusion type and of Markov chain type. Various forms of loan contracts and guarantees are considered, an important distinction being made between loans with fixed repayments and loans with fixed amortizations. Differential equations are obtained for the values of the guarantees, and some closed form expressions are obtained for standard contracts in certain well structured models.

Suggested Citation

  • Ragnar Norberg, 2005. "Interest Guarantees in Banking," Applied Mathematical Finance, Taylor & Francis Journals, vol. 12(4), pages 351-370.
    • Handle: RePEc:taf:apmtfi:v:12:y:2005:i:4:p:351-370
    DOI: 10.1080/13504860500117552
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    References listed on IDEAS

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    1. Norberg, Ragnar, 2003. "The Markov Chain Market," ASTIN Bulletin, Cambridge University Press, vol. 33(2), pages 265-287, November.
    2. Miltersen, Kristian R. & Persson, Svein-Arne, 1999. "Pricing rate of return guarantees in a Heath-Jarrow-Morton framework," Insurance: Mathematics and Economics, Elsevier, vol. 25(3), pages 307-325, December.
    3. 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.
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