With the recent rise of Machine Learning (ML) as a candidate to partially replace classic Financial Mathematics (FM) methodologies, we investigate the performances of both in solving the problem of dynamic portfolio optimization in continuous-time, finite-horizon setting for a portfolio of two...

The aim of this technical document is threefold with the bigger picture being to contribute, within the challenging regulatory environment, to bring closer together traditional conflicting practices such as trading vs risk as well as risk responsiveness vs stability. In order to achieve this...

In this paper we propose a new approach to studying the financial markets. Instead of the traditional top- down approach where a Brownian Motion is assumed as the main driving force behind the market movement (and where dynamic strategies are built as a result), we rather take the opposite point...

The change subsequent to the sub-prime crisis pushed pressure on decreased financial products complexity, going from exotics to vanilla options but increase in pricing efficiency. We introduce in this paper a more efficient methodology for vanilla option pricing using a scenario based particle...

In this paper, a shorter and more publication focused version of our recent article “A Bottom-Up Approach to the financial Markets” is presented. More specifically we propose a new approach to studying the financial markets using the Bottom-Up approach instead of the traditional Top-Down. We...

In this paper we propose a new approach to studying electronic trading & systemic risk by re-introducing the High Frequency Trading Ecosystem (HFTE) model [71]. We specify an approach in which agents interact through a topological structure designed to address the complexity demands of most...

Estimating spot covariance is an important issue to study, especially with the increasing availability of high-frequency nancial data. We study the estimation of spot covariance using a kernel method for high-frequency data. In particular, we consider rst the kernel weighted version of realized...

Within the framework of the financial industry, when representing relationships between assets, correlation is typically used. However, academics have long since questioned this method due to the plethora of issues that plague it. Indeed, it is thought that cointegration is a natural replacement...