The growing significance of climate change and carbon financing means it is becoming increasingly important to generically model energy-based assets in a more theoretically consistent and realistic approach. A fundamental feature is supply-demand imbalances and this is modelled by deterministic...

This paper reformulates the valuation of interest rate swaps, swap leg payments and swap risk measures, all under stochastic interest rates, as a problem of solving a system of linear equations with random perturbations. A sequence of uniform approximations which solves this system is developed...

The literature on volatility modelling and option pricing is a large and diverse area due to its importance and applications. This paper provides a review of the most significant volatility models and option pricing methods, beginning with constant volatility models up to stochastic volatility....

The severity and occurrence of rare events in financial markets has had a fundamental impact on the pricing and risk management of financial derivatives, such as volatility smile curves. However rare event modelling poses a problem in efficient and accurate simulation due to fundamental issues...

The inefficient pricing of the CDS (credit default swap) market has been considered as one of the main causes of the Global Financial Crisis. As price discovery is theoretically related to liquidity, this has been considered a source of mispricing in this over-the-counter market. However the CDS...