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Options on Bonds: Implied Volatilities from Affine Short-Rate Dynamics

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  • Matthew Lorig
  • Natchanon Suaysom

Abstract

We derive an explicit asymptotic approximation for the implied volatilities of Call options written on bonds assuming the short-rate is described by an affine short-rate model. For specific affine short-rate models, we perform numerical experiments in order to gauge the accuracy of our approximation.

Suggested Citation

  • Matthew Lorig & Natchanon Suaysom, 2021. "Options on Bonds: Implied Volatilities from Affine Short-Rate Dynamics," Papers 2106.04518, arXiv.org.
    • Handle: RePEc:arx:papers:2106.04518
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    1. Vasicek, Oldrich, 1977. "An equilibrium characterization of the term structure," Journal of Financial Economics, Elsevier, vol. 5(2), pages 177-188, November.
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    4. Stefano Pagliarani & Andrea Pascucci, 2017. "The exact Taylor formula of the implied volatility," Finance and Stochastics, Springer, vol. 21(3), pages 661-718, July.
    5. Matthew Lorig & Stefano Pagliarani & Andrea Pascucci, 2017. "Explicit Implied Volatilities For Multifactor Local-Stochastic Volatility Models," Mathematical Finance, Wiley Blackwell, vol. 27(3), pages 926-960, July.
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