On the joint calibration of the Libor market model to caps and swaptions market volatilities

نویسندگان

  • Damiano Brigo
  • Cristina Capitani
  • Fabio Mercurio
چکیده

In this paper we consider several parametric assumptions for the instantaneous covariance structure of the Libor market model. We examine the impact of each different parameterization on the evolution of the term structure of volatilities in time, on terminal correlations and on the joint calibration to the caps and swaptions markets. We present a number of cases of calibration in the Euro market. In particular, we consider calibration via a parameterization establishing a controllable one to one correspondence between instantaneous covariance parameters and swaptions volatilities, and assess the benefits of smoothing the input swaption matrix before calibrating.

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تاریخ انتشار 2001