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Analytical Pricing Formulas

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Interest Rate Derivatives

Part of the book series: Lecture Notes in Economics and Mathematical Systems ((LNE,volume 666))

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Abstract

We derive analytical pricing formulas in a multifactor Cheyette model for bonds and caplets/floorlets. Further, we specify these formulas in particular one- and multifactor models. Finally, we quote semi-explicit pricing formulas for European swaptions in one-factor models.

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References

  • Björk, T., Kabanov, Y., & Runggaldier, W. (1997). Bond market structure in the presence of marked point processes. Mathematical Finance, 7, 211–239.

    Article  MathSciNet  MATH  Google Scholar 

  • Cheyette, O. (1994). Markov representation of the Heath-Jarrow-Morton model (working paper). Berkeley: BARRA Inc.

    Google Scholar 

  • Geman, H. (1989). The importance of the forward neutral probability in a stochastic approach of interest rates (Technical report). ESSEC Business School.

    Google Scholar 

  • Geman, H., Karoui, N. E., & Rochet, J. (1995). Changes of numéraire, changes of probability measures and pricing of options. Journal of Applied Probability, 32, 443–458.

    Article  MathSciNet  MATH  Google Scholar 

  • Henrard, M. (2003). Explicit bond option and swaption formula in Heath-Jarrow-Morton one factor model. International Journal of Theoretical and Applied Finance, 6, 57–72.

    Article  MathSciNet  MATH  Google Scholar 

  • Hull, J. C. (2005). Options, futures, and other derivatives (5th ed.). New Jersey: Financial Times.

    Google Scholar 

  • Jamshidian, F. (1989). An exact bond option pricing formula. Journal of Finance, 44, 205–209.

    Article  Google Scholar 

  • Musiela, M., & Rutkowski, M. (2005), Martingale methods in financial modelling (2nd ed.). New York/Berlin: Springer.

    MATH  Google Scholar 

  • Pelsser, A. (2010). Efficient methods for valuing interest rate derivatives (1st ed.). London/ New York: Springer.

    Google Scholar 

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Beyna, I. (2013). Analytical Pricing Formulas. In: Interest Rate Derivatives. Lecture Notes in Economics and Mathematical Systems, vol 666. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-34925-6_3

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