This tutorial is an introduction to the theory of viscosity solutions of Hamilton-Jacobi-Bellman equations/inequalities in the realm of stochastic control problems. It is an easy to use reference for application-oriented users of this theory. The presentation is based mainly on the book Pham...

This paper introduces a general continuous-time mathematical framework for solution of dynamic mean-variance control problems. We obtain theoretical results for two classes of functionals: the first one depends on the whole trajectory of the controlled process and the second one is based on its...

We consider a general continuous mean-variance problem where the cost functional has an integral and a terminal-time component. We transform the problem into a superposition of a static and a dynamic optimization problem. The value function of the latter can be considered as the solution to a...

Accuracy and interpretability of a (non-life) insurance pricing model are essential qualities to ensure fair and transparent premiums for policy-holders, that reflect their risk. In recent years, the classification and regression trees (CARTs) and their ensembles have gained popularity in the...

This paper aims to open a new avenue for research in continuoustimenancial market models with endogenous prices and heterogenousinvestors. The main result is the derivation of the limit of a discretetimeevolutionary stock market model as the length of the time periodtends to zero.[...]

This paper studies the wealth dynamics of investors holding self-nancing portfolios in a continuous-time model of a nancial market.Asset prices are endogenously determined by market clearing. Wederive results on the asymptotic dynamics of the wealth distributionand asset prices for constant...

As decarbonisation progresses and conventional thermal generation gradually gives way to other technologies including intermittent renewables, there is an increasing requirement for system balancing from new and also fast-acting sources such as battery storage. In the deregulated context, this...

Investors tend to move funds when they are unhappy with their current portfolio managers' performance. We study the effect of the size of this flow of funds in an agent-based model of the financial market. The model combines the discrete choice approach from agent-based modelling, where all...

This paper studies a portfolio optimization problem in a discrete-time Markovian model of a financial market, in which asset price dynamics depend on an external process of economic factors. There are transaction costs with a structure that covers, in particular, the case of fixed plus...