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In this review, we provide practical guidance on some of the main machine learning tools used in portfolio weight formation. This is not an exhaustive list, but a fraction of the ones used and have some statistical analysis behind it. All…

Portfolio Management · Quantitative Finance 2025-10-01 Mehmet Caner Qingliang Fan

We extend and test empirically the multifractal model of asset returns based on a multiplicative cascade of volatilities from large to small time scales. The multifractal description of asset fluctuations is generalized into a multivariate…

Statistical Mechanics · Physics 2008-12-10 J. -F. Muzy , D. Sornette , J. Delour , A. Arneodo

In a capital adequacy framework, risk measures are used to determine the minimal amount of capital that a financial institution has to raise and invest in a portfolio of pre-specified eligible assets in order to pass a given capital…

Optimization and Control · Mathematics 2018-01-03 Michel Baes , Pablo Koch-Medina , Cosimo Munari

A parameterization that is a modified version of a previous work is proposed for the returns and correlation matrix of financial time series and its properties are studied. This parameterization allows easy introduction of non-stationarity…

Physics and Society · Physics 2008-12-02 Andre C. R. Martins

We consider a physical asset consisting of complex systems, where the systems may require upgrades during the lifetime of the asset. In practice, the asset owner and system supplier can make the upgrade decisions together, requiring a…

Optimization and Control · Mathematics 2023-02-08 Fiona Sloothaak , Alp Akçay , Matthieu van der Heijden , Geert-Jan van Houtum

This paper introduces a novel stochastic control framework to enhance the capabilities of automated investment managers, or robo-advisors, by accurately inferring clients' investment preferences from past activities. Our approach leverages…

Optimization and Control · Mathematics 2024-06-05 Haoyang Cao , Zhengqi Wu , Renyuan Xu

Recent developments in deep learning techniques have motivated intensive research in machine learning-aided stock trading strategies. However, since the financial market has a highly non-stationary nature hindering the application of…

Portfolio Management · Quantitative Finance 2020-12-15 Kentaro Imajo , Kentaro Minami , Katsuya Ito , Kei Nakagawa

In structural credit risk models, default events and the ensuing losses are both derived from the asset values at maturity. Hence it is of utmost importance to choose a distribution for these asset values which is in accordance with…

Risk Management · Quantitative Finance 2016-01-13 Thilo A. Schmitt , Rudi Schäfer , Thomas Guhr

Classical mean-variance portfolio theory tells us how to construct a portfolio of assets which has the greatest expected return for a given level of return volatility. Utility theory then allows an investor to choose the point along this…

Portfolio Management · Quantitative Finance 2009-09-21 Alex Dannenberg

In complete markets, there are risky assets and a riskless asset. It is assumed that the riskless asset and the risky asset are traded continuously in time and that the market is frictionless. In this paper, we propose a new method for…

Pricing of Securities · Quantitative Finance 2019-10-02 Abootaleb Shirvani , Stoyan V. Stoyanov , Svetlozar T. Rachev , Frank J. Fabozzi

We propose a modelling framework for the optimal selection of crypto assets. Crypto assets differ by two essential features: security (technological) and stability (governance). Investors make choices over crypto assets similarly to how…

Computers and Society · Computer Science 2019-07-23 Silvia Bartolucci , Andrei Kirilenko

Diversification is the typical investment strategy of risk-averse agents. However, non-diversified positions that allocate all resources to a single asset, state of the world or revenue stream are common too. We show that whenever finitely…

Theoretical Economics · Economics 2024-10-18 Christopher P. Chambers , Georgios Gerasimou

On a periodic basis, publicly traded companies report fundamentals, financial data including revenue, earnings, debt, among others. Quantitative finance research has identified several factors, functions of the reported data that…

Statistical Finance · Quantitative Finance 2020-07-16 Lakshay Chauhan , John Alberg , Zachary C. Lipton

Large language models are reshaping quantitative investing by turning unstructured financial information into evidence-grounded signals and executable decisions. This survey synthesizes research with a focus on equity return prediction and…

Portfolio Management · Quantitative Finance 2025-10-08 Weilong Fu

Recommendation for e-commerce with a mix of durable and nondurable goods has characteristics that distinguish it from the well-studied media recommendation problem. The demand for items is a combined effect of form utility and time utility,…

Machine Learning · Computer Science 2017-11-28 Jinfeng Yi , Cho-Jui Hsieh , Kush Varshney , Lijun Zhang , Yao Li

In mutual fund, an investment adviser gives advice to clients about investing in securities such as stocks, bonds, mutual funds, or exchange traded funds. Some investment advisers manage portfolios of securities. In this paper, we analyze…

General Finance · Quantitative Finance 2018-07-18 Gayatri Pradhan

Residual coherence is a graphical tool for selecting potential second-order interaction terms as functions of a single time series and its lags. This paper extends the notion of residual coherence to account for interaction terms of…

Applications · Statistics 2021-03-05 Xuze Zhang , Benjamin Kedem

Intangible capital as the result of digitalization and globalization has not been fully measured yet in the economy because of several challenges. The limitation of data sources and the methodological issue related to how to measure and…

Applications · Statistics 2022-12-07 Atika Nashirah Hasyyati , Adhi Kurniawan

We consider a general discrete-time financial market with proportional transaction costs as in [Kabanov, Stricker and R\'{a}sonyi Finance and Stochastics 7 (2003) 403--411] and [Schachermayer Math. Finance 14 (2004) 19--48]. In addition to…

Probability · Mathematics 2008-12-10 Bruno Bouchard , Huyên Pham

The risk of financial positions is measured by the minimum amount of capital to raise and invest in eligible portfolios of traded assets in order to meet a prescribed acceptability constraint. We investigate nondegeneracy, finiteness and…

Risk Management · Quantitative Finance 2014-03-05 Walter Farkas , Pablo Koch-Medina , Cosimo Munari