Return to search

Semilinear stochastic differential equations with applications to forward interest rate models.

In this thesis we use techniques from white noise analysis to study solutions of semilinear stochastic differential equations in a Hilbert space H: {dX[subscript]t = (AX[subscript]t + F(t,X[subscript]t)) dt + ơ(t,X[subscript]t) δB[subscript]t, t∈ (0,T], X[subscript]0 = ξ, where A is a generator of either a C[subscript]0-semigroup or an n-times integrated semigroup, and B is a cylindrical Wiener process. We then consider applications to forward interest rate models, such as in the Heath-Jarrow-Morton framework. We also reformulate a phenomenological model of the forward rate. / Thesis (Ph.D.) -- University of Adelaide, School of Mathematical Science, 2009

Identiferoai:union.ndltd.org:ADTP/288725
Date January 2009
CreatorsMark, Kevin
Source SetsAustraliasian Digital Theses Program
Detected LanguageEnglish

Page generated in 0.0015 seconds