A Useful Result on the Covariance Between Ito Integrals
Tristan Guillaume *
Universite de Cergy-Pontoise, Laboratoire Thema, 33 boulevard du port, F-95011 Cergy-Pontoise Cedex, France.
*Author to whom correspondence should be addressed.
Abstract
This article introduces a general result on the covariance between two Ito integrals driven by two different Brownian motions, which slightly generalizes the isometry property. This result finds applications in mathematical finance, e.g. it enables to determine the probability distribution of the integrated interest rate process in exponential-affine models of the yield curve.
Keywords: Ito integral, multidimensional Brownian motion, interest rate process, yield curve model.