This paper proposes new bounds on the prices of European-style swaptions for affine and quadratic interest rate models. These bounds are computable whenever the joint characteristic function of the state variables is known. In particular, our lower bound involves the computation of a one...

This work analyses the common industry practice used to evaluate financial options written on with-profit policies issued by European insurance companies.In the last years regulators introduced, with the Solvency II directive, a market consistent valuation framework for determining the fair...

We show how spectral filtering techniques can improve the convergence of numerical schemes which use discrete Hilbert transforms based on a sinc function expansion, and thus ultimately on the fast Fourier transform. This is relevant, for example, for the computation of fluctuation identities,...

This article presents lower and upper bounds on the prices of basket options for a general class of continuous-time financial models. The techniques we propose are applicable whenever the joint characteristic function of the vector of log-returns is known in closed-form. Moreover, the basket...

The idea of this document is to provide the reader with an intuitive, yet rigorous and comprehensive introduction to the main tools in stochastic analysis required in Finance to understand the modern modelling, pricing and hedging techniques. The most important models (Brownian motion,...

We develop a novel, workable switching option model approach to component redesign and replacement projects that are divisible into sequential phases. The component manufacturer has the option to retain the current product position and abandon the project, or switch to a redesigned product...