We consider reinforcement learning (RL) in continuous time and study the problem of achieving the best trade-off between exploration of a black box environment and exploitation of current knowledge. We propose an entropy-regularized reward function involving the differential entropy of the...

How do financial markets switch from states of optimism to pessimism and vice versa? Given that a financial market is currently stable, what is the probability that it will become unstable and crash? We answer those questions in the context of a natural experiment with risk sources of...

The asset allocation decision often relies upon correlation estimates arising from short-run data. Short-run correlation estimates may, however, be distorted by frictions. In this paper, we introduce a long-run wavelet-based correlation estimator, distinguishing between long-run common behavior...

The integration of artificial intelligence (AI) in financial analysis is transforming the industry, enabling advanced data analysis, risk assessment, portfolio management, and predictive modelling. This essay discusses the key themes of this incredible transformation by highlighting the benefits...

Systematic trading is a method that is currently extremely popular in the investment world. The testing of systematic trading rules is usually done through backtesting and is at high risk of spurious accuracy as a result of the data-mining bias (DMB) present from testing multiple rules...

We generalize the Kelly criterion and the growth-optimal portfolio (GOP) concept beyond log-wealth maximization. We show that models of speculative price dynamics with time change require different compounding algebras leading to GOPs that do not coincide with log-wealth maximization. In...

Spanish Abstract: La relación existente entre el riego y la rentabilidad de un activo financiero es una preocupación constante del inversionista a la hora de conformar su portafolio de inversión. La principal meta en la construcción del portafolio consiste en distribuir óptimamente la...

Many sophisticated investors rely on scenario analysis to select a portfolio. These investors define prospective economic scenarios, assign probabilities to them, translate the scenarios into expected asset class returns, and select the portfolio with the highest expected return or expected...

The investment industry lacks an unified framework for handling derivative instruments in general portfolio management. With the increased use of derivatives, there is a need for a framework that aligns fundamental terminology and concepts. The main challenges with the current practices are...

Investors typically measure an asset’s potential to diversify a portfolio by its correlations with the portfolio’s other assets, but correlation is useful only if it provides a good estimate of how an asset’s returns co-occur cumulatively with the other asset returns over the investor’s...