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Network datasets typically exhibit certain types of statistical dependencies, such as within-dyad correlation, row and column heterogeneity, and third-order dependence patterns such as transitivity and clustering. The first two of these can…

统计方法学 · 统计学 2018-07-24 Peter D. Hoff

With the recent advancements in machine learning (ML), artificial neural networks (ANN) are starting to play an increasingly important role in quantitative finance. Dynamic portfolio optimization is among many problems that have…

投资组合管理 · 定量金融 2024-11-18 Yaacov Kopeliovich , Michael Pokojovy

Correlation matrices inferred from stock return time series contain information on the behaviour of the market, especially on clusters of highly correlating stocks. Here we study a subset of New York Stock Exchange (NYSE) traded stocks and…

物理与社会 · 物理学 2009-11-13 Tapio Heimo , Jari Saramaki , Jukka-Pekka Onnela , Kimmo Kaski

The dynamics of a stock market with heterogeneous agents is discussed in the framework of a recently proposed spin model for the emergence of bubbles and crashes. We relate the log returns of stock prices to magnetization in the model and…

统计力学 · 物理学 2009-11-07 Taisei Kaizoji , Stefan Bornholdt , Yoshi Fujiwara

Existence of stochastic financial equilibria giving rise to semimartingale asset prices is established under a general class of assumptions. These equilibria are expressed in real terms and span complete markets or markets with withdrawal…

证券定价 · 定量金融 2008-12-02 Gordan Zitkovic

We discuss a family of models expressed by nonlinear differential equation systems describing closed market societies in the presence of taxation and redistribution. We focus in particular on three example models obtained in correspondence…

综合金融 · 定量金融 2014-03-19 Maria Letizia Bertotti , Giovanni Modanese

This work introduces a new framework for modeling financial markets through an interpretable probabilistic state machine. By clustering historical returns based on momentum and risk features across multiple time horizons, we identify…

计算工程、金融与科学 · 计算机科学 2025-10-02 Christian Oliva , Silviu Gabriel Tinjala

We introduce a fairly general, recombining trinomial tree model in the natural world. Market-completeness is ensured by considering a market consisting of two risky assets, a riskless asset, and a European option. The two risky assets…

数理金融 · 定量金融 2024-10-10 Jagdish Gnawali , W. Brent Lindquist , Svetlozar T. Rachev

This paper introduces a novel robust trading paradigm, called \textit{multi-double linear policies}, situated within a \textit{generalized} lattice market. Distinctively, our framework departs from most existing robust trading strategies,…

投资组合管理 · 定量金融 2025-04-18 Chung-Han Hsieh , Xin-Yu Wang

The time proximity of trades across stocks reveals interesting topological structures of the equity market in the United States. In this article, we investigate how such concurrent cross-stock trading behaviors, which we denote as…

交易与市场微观结构 · 定量金融 2024-05-14 Yutong Lu , Gesine Reinert , Mihai Cucuringu

Drifts of asset returns are notoriously difficult to model accurately and, yet, trading strategies obtained from portfolio optimization are very sensitive to them. To mitigate this well-known phenomenon we study robust growth-optimization…

数理金融 · 定量金融 2026-01-01 Balint Binkert , David Itkin , Paul Mangers Bastian , Josef Teichmann

International trade fluxes evolve as countries revise their portfolios of trade products towards economic development. Accordingly products' shares in international trade vary with time, reflecting the transfer of capital between distinct…

交易与市场微观结构 · 定量金融 2018-01-16 Matthieu Barbier , D. -S. Lee

We consider a stochastic volatility model where the dynamics of the volatility are given by a possibly infinite linear combination of the elements of the time extended signature of a Brownian motion. First, we show that the model is…

证券定价 · 定量金融 2025-06-03 Eduardo Abi Jaber , Louis-Amand Gérard

We extend the classical Cox-Ross-Rubinstein binomial model in two ways. We first develop a binomial model with time-dependent parameters that equate all moments of the pricing tree increments with the corresponding moments of the increments…

数理金融 · 定量金融 2017-12-12 Yong Shin Kim , Stoyan Stoyanov , Svetlozar Rachev , Frank J. Fabozzi

A prototype model of stock market is introduced and studied numerically. In this self-organized system, we consider only the interaction among traders without external influences. Agents trade according to their own strategy, to accumulate…

统计力学 · 物理学 2009-10-30 G. Caldarelli , M. Marsili , Y. -C. Zhang

We introduce a price impact model which accounts for finite market depth, tightness and resilience. Its coupled bid- and ask-price dynamics induce convex liquidity costs. We provide existence of an optimal solution to the classical problem…

数理金融 · 定量金融 2018-04-23 Peter Bank , Moritz Voß

We treat a fairly broad class of financial models which includes markets with proportional transaction costs. We consider an investor with cumulative prospect theory preferences and a non-negativity constraint on portfolio wealth. The…

投资组合管理 · 定量金融 2019-03-21 Huy N. Chau , Miklos Rasonyi

We study a new class of matrix models, formulated on a lattice. On each site are $N$ states with random energies governed by a Gaussian random matrix Hamiltonian. The states on different sites are coupled randomly. We calculate the density…

凝聚态物理 · 物理学 2009-10-22 E. Brézin , A. Zee

We introduce a trade strategy representation theorem for performance measurement and portable alpha in high frequency trading, by embedding a robust trading algorithm that describe portfolio manager market timing behavior, in a canonical…

风险管理 · 定量金融 2012-06-21 Godfrey Charles-Cadogan

This paper examines the role of algorithmic trading in modern financial markets. Additionally, order types, characteristics, and special features of algorithmic trading are described under the lens provided by the large development of high…

交易与市场微观结构 · 定量金融 2012-06-26 Riccardo Cesari , Massimiliano Marzo , Paolo Zagaglia