Title
The LIBOR model dynamics: Approximations, calibration and diagnostics
Abstract
In this paper we consider several parametric assumptions for the instantaneous covariance structure of the LIBOR market model, whose role in the modern interest-rate derivatives theory is becoming more and more central. 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.
Year
DOI
Venue
2005
10.1016/j.ejor.2003.12.004
European Journal of Operational Research
Keywords
Field
DocType
Finance,Pricing,Stochastic processes,Interest rate modeling,LIBOR market model
Econometrics,Parametrization,LIBOR market model,Stochastic process,Libor,Smoothing,Parametric statistics,Swaption,Mathematics,Covariance
Journal
Volume
Issue
ISSN
163
1
0377-2217
Citations 
PageRank 
References 
1
0.38
0
Authors
3
Name
Order
Citations
PageRank
Damiano Brigo1178.42
Fabio Mercurio2113.77
Massimo Morini310.38