Stochastic processes provide a probabilistic framework to model the time-evolving uncertainty intrinsic to financial markets. By characterising random movements such as asset prices, interest rates ...

Backward Stochastic Differential Equations (BSDEs) constitute a powerful framework where the solution is determined by a terminal condition and then propagated backwards in time. This innovative ...

Stochastic processes are at the center of probability theory, both from a theoretical and an applied viewpoint. Stochastic processes have applications in many disciplines such as physics, computer ...

The Annals of Applied Probability, Vol. 28, No. 1 (February 2018), pp. 1-34 (34 pages) In this paper, we aim to develop the stochastic control theory of branching diffusion processes where both the ...

This course is compulsory on the MSc in Financial Mathematics and MSc in Quantitative Methods for Risk Management. This course is available on the MSc in Applicable Mathematics, MSc in Econometrics ...

As global financial markets become increasingly interconnected, accurately modelling correlations between assets is essential. Traditional models often assume static correlations, which fail to ...