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In this article we introduce a portfolio optimisation framework, in which the use of rough path signatures (Lyons, 1998) provides a novel method of incorporating path-dependencies in the joint signal-asset dynamics, naturally extending…

Portfolio Management · Quantitative Finance 2023-08-31 Owen Futter , Blanka Horvath , Magnus Wiese

Recently, the application of advanced machine learning methods for asset management has become one of the most intriguing topics. Unfortunately, the application of these methods, such as deep neural networks, is difficult due to the data…

Computational Finance · Quantitative Finance 2022-07-05 Jinho Lee , Sungwoo Park , Jungyu Ahn , Jonghun Kwak

Deep Reinforcement learning is a branch of unsupervised learning in which an agent learns to act based on environment state in order to maximize its total reward. Deep reinforcement learning provides good opportunity to model the complexity…

Statistical Finance · Quantitative Finance 2021-08-05 Zhaolu Dong , Shan Huang , Simiao Ma , Yining Qian

An algorithm was recently introduced by INTECH for the purposes of estimating the trading-profit contribution of systematic rebalancing to the relative return of rules-based investment strategies. We apply this methodology to analyze the…

Portfolio Management · Quantitative Finance 2016-01-29 Vassilios Papathanakos

We study a dynamic portfolio optimization problem related to convergence trading, which is an investment strategy that exploits temporary mispricing by simultaneously buying relatively underpriced assets and selling short relatively…

Portfolio Management · Quantitative Finance 2019-10-08 Sühan Altay , Katia Colaneri , Zehra Eksi

We address the problem of Lyapunov function construction for a class of continuous-time Markov chains with affine transition rates, typically encountered in stochastic chemical kinetics. Following an optimization approach, we take advantage…

Probability · Mathematics 2014-12-30 Andreas Milias-Argeitis , Mustafa Khammash

The potential of machine learning to automate and control nonlinear, complex systems is well established. These same techniques have always presented potential for use in the investment arena, specifically for the managing of equity…

Portfolio Management · Quantitative Finance 2011-10-18 Evan Hurwitz , Tshilidzi Marwala

Since decades, the data science community tries to propose prediction models of financial time series. Yet, driven by the rapid development of information technology and machine intelligence, the velocity of today's information leads to…

Computational Finance · Quantitative Finance 2019-09-25 Giovanni Mariani , Yada Zhu , Jianbo Li , Florian Scheidegger , Roxana Istrate , Costas Bekas , A. Cristiano I. Malossi

Whether you trade futures for yourself or a hedge fund, your strategy is counted. Long and short position limits make the number of unique strategies finite. Formulas of the numbers of strategies, transactions, do nothing actions are…

General Finance · Quantitative Finance 2017-12-22 Valerii Salov

We introduce a stochastic price model where, together with a random component, a moving average of logarithmic prices contributes to the price formation. Our model is tested against financial datasets, showing an extremely good agreement…

Disordered Systems and Neural Networks · Physics 2008-12-02 R. Baviera , M. Pasquini , J. Raboanary , M. Serva

Systematic trading strategies are algorithmic procedures that allocate assets aiming to optimize a certain performance criterion. To obtain an edge in a highly competitive environment, the analyst needs to proper fine-tune its strategy, or…

Machine Learning · Computer Science 2019-04-02 Adriano Koshiyama , Nick Firoozye , Philip Treleaven

This paper introduces a new functional optimization approach to portfolio optimization problems by treating the unknown weight vector as a function of past values instead of treating them as fixed unknown coefficients in the majority of…

Portfolio Management · Quantitative Finance 2020-12-10 Ka Wai Tsang , Zhaoyi He

We present an algorithm for the decomposition of periodic financial return data into orthogonal factors of expected return and "systemic", "productive", and "nonproductive" risk. Generally, when the number of funds does not exceed the…

Portfolio Management · Quantitative Finance 2014-11-19 Vic Norton

Financial time series (FTS) generation models are a core pillar to applications in finance. Risk management and portfolio optimization rely on realistic multivariate price generation models. Accordingly, there is a strong modelling…

Statistical Finance · Quantitative Finance 2024-12-10 Howard Caulfield , James P. Gleeson

We present a unified approach to get explicit formulas for utility maximising strategies in Exponential Levy models. This approach is related to $f$-divergence minimal martingale measures and based on a new concept of preservation of the…

Probability · Mathematics 2018-03-14 S. Cawston , L. Vostrikova

We demonstrate the application of an algorithmic trading strategy based upon the recently developed dynamic mode decomposition (DMD) on portfolios of financial data. The method is capable of characterizing complex dynamical systems, in this…

Computational Finance · Quantitative Finance 2015-08-20 Jordan Mann , J. Nathan Kutz

Rough stochastic volatility models have attracted a lot of attentions recently, in particular for the linear option pricing problem. In this paper, starting with power utilities, we propose to use a martingale distortion representation of…

Mathematical Finance · Quantitative Finance 2017-12-12 Jean-Pierre Fouque , Ruimeng Hu

This paper aims at developing a new method by which to build a data-driven portfolio featuring a target risk-return. We first present a comparative study of recurrent neural network models (RNNs), including a simple RNN, long short-term…

Portfolio Management · Quantitative Finance 2018-08-03 Sang Il Lee , Seong Joon Yoo

This paper studies a portfolio optimization problem in a discrete-time Markovian model of a financial market, in which asset price dynamics depend on an external process of economic factors. There are transaction costs with a structure that…

Portfolio Management · Quantitative Finance 2008-12-02 Jan Palczewski , Lukasz Stettner

We present a method for constructing Constant Function Market Makers (CFMMs) whose portfolio value functions match a desired payoff. More specifically, we show that the space of concave, nonnegative, nondecreasing, 1-homogeneous payoff…

Mathematical Finance · Quantitative Finance 2021-03-30 Guillermo Angeris , Alex Evans , Tarun Chitra
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