Papers, ranked by score

Ordered by a blend of empirical rigor (60%) and math complexity (40%).

The Subtle Interplay between Square-root Impact, Order Imbalance & Volatility: A Unifying Framework

In this work, we aim to reconcile several apparently contradictory observations in market microstructure: is the famous “square-root law” of metaorder impact, which decays with time, compatible with the random-walk nature of prices and the linear impact of order imbalances? Can one entirely explain

Holy Grail Math 8 Rigor 8.5 ·  June 9, 2025

The Subtle Interplay between Square-root Impact, Order Imbalance & Volatility II: An Artificial Market Generator

This work extends and complements our previous theoretical paper on the subtle interplay between impact, order flow and volatility. In the present paper, we generate synthetic market data following the specification of that paper and show that the approximations made there are actually justified, wh

Holy Grail Math 9.5 Rigor 7.2 ·  September 5, 2025

Multivariate Quadratic Hawkes Processes -- Part II: Non-Parametric Empirical Calibration

This is the second part of our work on Multivariate Quadratic Hawkes (MQHawkes) Processes, devoted to the calibration of the model defined and studied analytically in Aubrun, C., Benzaquen, M., & Bouchaud, J. P., Quantitative Finance, 23(5), 741-758 (2023). We propose a non-parametric calibration me

Holy Grail Math 9 Rigor 7.5 ·  September 25, 2025

Revisiting the Excess Volatility Puzzle Through the Lens of the Chiarella Model

We amend and extend the Chiarella model of financial markets to deal with arbitrary long-term value drifts in a consistent way. This allows us to improve upon existing calibration schemes, opening the possibility of calibrating individual monthly time series instead of classes of time series. The te

Holy Grail Math 8.5 Rigor 7 ·  May 12, 2025

Why is the volatility of single stocks so much rougher than that of the S&P500?

The Nested factor model was introduced by Chicheportiche et al. to represent non-linear correlations between stocks. Stock returns are explained by a standard factor model, but the (log)-volatilities of factors and residuals are themselves decomposed into factor modes, with a common dominant volatil

Holy Grail Math 8 Rigor 6.5 ·  May 5, 2025

Eigenvector overlaps of sample covariance matrices with intersecting time periods

We compute exactly the overlap between the eigenvectors of two large empirical covariance matrices computed over intersecting time intervals, generalizing the results obtained previously for non-intersecting intervals. Our method relies on a particular form of Girko linearisation and extended local

Holy Grail Math 8.5 Rigor 5 ·  September 29, 2025

Stationary Distributions of the Mode-switching Chiarella Model

We derive the stationary distribution in various regimes of the extended Chiarella model of financial markets. This model is a stochastic nonlinear dynamical system that encompasses dynamical competition between a (saturating) trending and a mean-reverting component. We find the so-called mispricing

Lab Rats Math 8.5 Rigor 3 ·  November 17, 2025

Holdout cross-validation for large non-Gaussian covariance matrix estimation using Weingarten calculus

Cross-validation is one of the most widely used methods for model selection and evaluation; its efficiency for large covariance matrix estimation appears robust in practice, but little is known about the theoretical behavior of its error. In this paper, we derive the expected Frobenius error of the

Lab Rats Math 8.5 Rigor 3 ·  September 17, 2025

The Self-Organized Criticality Paradigm in Economics & Finance

``Self-Organised Criticality’’ (SOC) is the mechanism by which complex systems spontaneously settle close to a critical point, at the edge between stability and chaos, and characterized by fat-tailed fluctuations and long-memory correlations. Such a scenario may explain why insignificant perturbat

Philosophers Math 4.5 Rigor 3 ·  July 14, 2024

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