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Journal of Computational Finance

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Convexity adjustments à la Malliavin

David García-Lorite and Raúl Merino

  • A novel method based on Malliavin calculus is developed to approximate convexity adjustments in a general interest rate model.
  • Convexity adjustments are calculated for commonly traded interest rate products, including Futures, OIS Futures, FRAs, and CMSs.
  • Numerical experiments verify the accuracy of the analytical results obtained.

In this paper, we develop a new method based on the Malliavin calculus to approximate the convexity adjustment for various classical interest rate products. Malliavin calculus provides a simple way to get a template for the convexity adjustment. We find the approximation for futures, overnight index swap futures, forward rate agreements and constant maturity swaps within a general family of one-factor Cheyette models. In addition, we show the high accuracy of the numerical results obtained from the formulas.

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