This presentation introduces the rough path-dependent volatility model (RPDVM). After defining the model and its different components, the presentation focuses on various specifications of the RPDVM that already exist in the literature. Finally, a Markovian approximation of the model is presented

The rough path-dependent volatility (RPDV) model (Parent 2022) effectively captures key empirical features that are characteristic of volatility dynamics, making it a suitable choice for volatility forecasting. However, its complex structure presents challenges when it comes to estimating the...

This article introduces the rough path-dependent volatility (RPDV) model, a model structurally adapted to jointly capture two major empirical features of volatility: its rough behavior and its path-dependence.After presenting it in its general form and its link with other existing models in the...

We introduce in this article the EWMA Heston model, a markovian stochastic volatility model able to capture a wide range of empirical features related to volatility dynamics while being more tractable for simulations than rough volatility models based on fractional processes. After having...

Standard portfolio construction models are based on the implicit assumption that all information relevant to making investment choices is probabilizable. However, both empirical behaviors of market participants and the increased success of approaches like risk parity underly an implicit...

French abstract: Le présent papier formalise un nouveau modèle de dynamique du système des prix du marché action, capable de saisir un large spectre de phénomènes renseignés par la littérature académique financière. Le modèle s’attache particulièrement à rendre compte de trois...