A non-parametric valuation framework (ANN-MRS) using artificial neural networks for pricing financial derivatives has been developed whilst the volatility of underlying asset return dynamics are modelled by Markov regime switching model. Its immediate application is on pricing of the Chinese...

It is known that Heston's stochastic volatility model exhibits moment explosion, and that the critical moment s+ can be obtained by solving (numerically) a simple equation. This yields a leading-order expansion for the implied volatility at large strikes: σBS(k, T)2T ∼ Ψ(s+ - 1) × k (Roger...

Given multivariate time series, we study the problem of forming portfolios with maximum mean reversion while constraining the number of assets in these portfolios. We show that it can be formulated as a sparse canonical correlation analysis and study various algorithms to solve the corresponding...

In this paper we present a Markov-Functional hybrid interest rate/foreign exchange model that allows calibration to given market volatility surfaces in both dimensions simultaneously. This is achieved by extending the approach introduced by Fries and Rott by a functional for the foreign exchange...

In a Markovian setting, we introduce a class of pricing measures and forward measures. Using multiplicative perturbation theory of Markovian semigroups, we study the relationship between the pricing semigroup and the forward semigroup, and obtain the forward semigroup pricing method....