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The cumulant analysis plays an important role in non Gaussian distributed data analysis. The shares' prices returns are good example of such data. The purpose of this research is to develop the cumulant based algorithm and use it to…

投资组合管理 · 定量金融 2016-11-23 Krzysztof Domino

Value-at-risk (VaR) has been playing the role of a standard risk measure since its introduction. In practice, the delta-normal approach is usually adopted to approximate the VaR of portfolios with option positions. Its effectiveness,…

统计方法学 · 统计学 2019-04-22 Junyao Chen , Tony Sit , Hoi Ying Wong

Diversification of an investment into independently fluctuating assets reduces its risk. In reality, movement of assets are are mutually correlated and therefore knowledge of cross--correlations among asset price movements are of great…

统计力学 · 物理学 2009-11-07 B. Rosenow , V. Plerou , P. Gopikrishnan , H. E. Stanley

Asset allocation (or portfolio management) is the task of determining how to optimally allocate funds of a finite budget into a range of financial instruments/assets such as stocks. This study investigated the performance of reinforcement…

投资组合管理 · 定量金融 2022-09-22 Adebayo Oshingbesan , Eniola Ajiboye , Peruth Kamashazi , Timothy Mbaka

Online portfolio selection is an integral componentof wealth management. The fundamental undertaking is tomaximise returns while minimising risk given investor con-straints. We aim to examine and improve modern strategiesto generate higher…

计算工程、金融与科学 · 计算机科学 2021-09-29 Matthew Kruger , Terence L. van Zyl , Andrew Paskaramoorthy

The downside risk of a portfolio of (equity)assets is generally substantially higher than the downside risk of its components. In particular in times of crises when assets tend to have high correlation, the understanding of this difference…

风险管理 · 定量金融 2015-03-17 Alex Langnau , Daniel Cangemi

In this article, inspired by Shi, et al. we investigate the optimal portfolio selection with one risk-free asset and one risky asset in a multiple period setting under cumulative prospect theory (CPT). Compared with their study, our novelty…

投资组合管理 · 定量金融 2019-03-26 Liurui Deng , Traian A. Pirvu

Portfolio management issues have been extensively studied in the field of artificial intelligence in recent years, but existing deep learning-based quantitative trading methods have some areas where they could be improved. First of all, the…

计算金融 · 定量金融 2024-02-27 Qishuo Cheng , Le Yang , Jiajian Zheng , Miao Tian , Duan Xin

Traditional portfolio management methods can incorporate specific investor preferences but rely on accurate forecasts of asset returns and covariances. Reinforcement learning (RL) methods do not rely on these explicit forecasts and are…

投资组合管理 · 定量金融 2022-03-23 Ruan Pretorius , Terence van Zyl

Deep reinforcement learning (DRL) has been widely studied in the portfolio management task. However, it is challenging to understand a DRL-based trading strategy because of the black-box nature of deep neural networks. In this paper, we…

投资组合管理 · 定量金融 2021-12-21 Mao Guan , Xiao-Yang Liu

According to recent findings [1,2], empirical covariance matrices deduced from financial return series contain such a high amount of noise that, apart from a few large eigenvalues and the corresponding eigenvectors, their structure can…

统计力学 · 物理学 2009-11-07 Szilard Pafka , Imre Kondor

We introduce a covariance matrix estimator that both takes into account the heteroskedasticity of financial returns (by using an exponentially weighted moving average) and reduces the effective dimensionality of the estimation (and hence…

统计力学 · 物理学 2008-12-02 Szilard Pafka , Marc Potters , Imre Kondor

Based on a rough path foundation, we develop a model-free approach to stochastic portfolio theory (SPT). Our approach allows to handle significantly more general portfolios compared to previous model-free approaches based on F{\"o}llmer…

概率论 · 数学 2023-06-19 Andrew L. Allan , Christa Cuchiero , Chong Liu , David J. Prömel

We derive a closed-form expression capturing the degree of Relative Risk Aversion (RRA) of investors for non-"fair" lotteries. We argue that our formula is superior to earlier methods that have been proposed, as it is a function of only…

综合经济学 · 经济学 2022-11-10 George Samartzis , Nikitas Pittis

When it comes to stock returns, any form of predictability can bolster risk-adjusted profitability. We develop a collaborative machine learning algorithm that optimizes portfolio weights so that the resulting synthetic security is maximally…

计量经济学 · 经济学 2024-04-08 Philippe Goulet Coulombe , Maximilian Goebel

The development of reinforced learning methods has extended application to many areas including algorithmic trading. In this paper trading on the stock exchange is interpreted into a game with a Markov property consisting of states,…

交易与市场微观结构 · 定量金融 2020-02-28 Evgeny Ponomarev , Ivan Oseledets , Andrzej Cichocki

Item Response Theory (IRT) has been proposed within the field of Educational Psychometrics to assess student ability as well as test question difficulty and discrimination power. More recently, IRT has been applied to evaluate machine…

机器学习 · 统计学 2023-08-01 Sevvandi Kandanaarachchi , Kate Smith-Miles

In the practical business of asset management by investment trusts and the like, the general practice is to manage over the medium to long term owing to the burden of operations and increase in transaction costs with the increase in…

计算金融 · 定量金融 2023-01-31 Kazuki Amagai , Tomoya Suzuki

We consider an investor, whose portfolio consists of a single risky asset and a risk free asset, who wants to maximize his expected utility of the portfolio subject to the Value at Risk assuming a heavy tail distribution of the stock prices…

投资组合管理 · 定量金融 2020-12-02 Subhojit Biswas , Diganta Mukherjee

In this paper, we obtain a property of the expectation of the inverse of compound Wishart matrices which results from their orthogonal invariance. Using this property as well as results from random matrix theory (RMT), we derive the…

风险管理 · 定量金融 2013-06-25 Benoît Collins , David McDonald , Nadia Saad