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This paper proposes a portfolio construction framework designed to remain robust under estimation error, non-stationarity, and realistic trading constraints. The methodology combines dynamic asset eligibility, deterministic rebalancing, and…

Optimization and Control · Mathematics 2026-01-12 Roberto Garrone

This study is a detailed analysis of Speculation Game, a minimal agent-based model of financial markets, in which the round-trip trading and the dynamic wealth evolution with variable trading volumes are implemented. Instead of herding…

Statistical Finance · Quantitative Finance 2019-09-10 Kei Katahira , Yu Chen

This paper presents several models addressing optimal portfolio choice, optimal portfolio liquidation, and optimal portfolio transition issues, in which the expected returns of risky assets are unknown. Our approach is based on a coupling…

Portfolio Management · Quantitative Finance 2019-03-21 Alexis Bismuth , Olivier Guéant , Jiang Pu

How do you bring your assets as close as possible to your target allocation by only investing a fixed amount of additional funds, and not selling any assets? We look at two versions of this problem which have simple, closed form solutions…

Optimization and Control · Mathematics 2023-05-23 Jay Bartroff

The main contribution of the paper is to employ the financial market network as a useful tool to improve the portfolio selection process, where nodes indicate securities and edges capture the dependence structure of the system. Three…

Portfolio Management · Quantitative Finance 2019-01-15 Gian Paolo Clemente , Rosanna Grassi , Asmerilda Hitaj

In this paper, we consider the portfolio optimization problem in a financial market under a general utility function. Empirical results suggest that if a significant market fluctuation occurs, invested wealth tends to have a notable change…

Portfolio Management · Quantitative Finance 2022-01-26 Minglian Lin , Indranil SenGupta

This paper studies a robust portfolio optimization problem under the multi-factor volatility model introduced by Christoffersen et al. (2009). The optimal strategy is derived analytically under the worst-case scenario with or without…

Mathematical Finance · Quantitative Finance 2020-06-16 Ben-Zhang Yang , Xiaoping Lu , Guiyuan Ma , Song-Ping Zhu

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

We investigate the variety of a portfolio of stocks in normal and extreme days of market activity. We show that the variety carries information about the market activity which is not present in the single-index model and we observe that the…

Statistical Mechanics · Physics 2009-10-31 Fabrizio Lillo , Rosario N. Mantegna

This study seeks to advance the understanding and prediction of stock market return uncertainty through the application of advanced deep learning techniques. We introduce a novel deep learning model that utilizes a Gaussian mixture…

Risk Management · Quantitative Finance 2025-03-11 Yanlong Wang , Jian Xu , Shao-Lun Huang , Danny Dongning Sun , Xiao-Ping Zhang

We analyze a negative-parameter variant of the diversity-weighted portfolio studied by Fernholz, Karatzas, and Kardaras (Finance Stoch 9(1):1-27, 2005), which invests in each company a fraction of wealth inversely proportional to the…

Mathematical Finance · Quantitative Finance 2016-05-10 Alexander Vervuurt , Ioannis Karatzas

Asset prices contain information about the probability distribution of future states and the stochastic discounting of those states as used by investors. To better understand the challenge in distinguishing investors' beliefs from…

Mathematical Finance · Quantitative Finance 2015-10-06 Jaroslav Borovička , Lars Peter Hansen , José A. Scheinkman

Market timing is an investment technique that tries to continuously switch investment into assets forecast to have better returns. What is the likelihood of having a successful market timing strategy? With an emphasis on modeling…

Portfolio Management · Quantitative Finance 2018-07-20 Guy Metcalfe

This paper considers the mean-reverting portfolio design problem arising from statistical arbitrage in the financial markets. We first propose a general problem formulation aimed at finding a portfolio of underlying component assets by…

Portfolio Management · Quantitative Finance 2018-05-09 Ziping Zhao , Daniel P. Palomar

Portfolio optimization (PO) is a core tool in financial and operational decision-making, typically balancing expected profit and risk. In real-world applications, particularly in the energy sector, decision variables can be expressed as…

Optimization and Control · Mathematics 2026-01-14 Isabel Barros Garcia , Jérémie Messud

I demonstrate that with the market return determined by the equilibrium returns of the CAPM, expected returns of an asset are affected by the risks of all assets jointly. Another implication is that the range of feasible market returns will…

General Finance · Quantitative Finance 2021-05-24 Andreas Krause

We describe how the market-based average and volatility of the "actual" return, which the investors gain within their market sales, depend on the statistical moments, volatilities, and correlations of the current and past market trade…

General Economics · Economics 2024-02-22 Victor Olkhov

This paper studies the income fluctuation problem with capital income risk (i.e., dispersion in the rate of return to wealth). Wealth returns and labor earnings are allowed to be serially correlated and mutually dependent. Rewards can be…

Theoretical Economics · Economics 2018-12-05 Qingyin Ma , John Stachurski , Alexis Akira Toda

Wealth inequality is an important matter for economic theory and policy. Ongoing debates have been discussing recent rise in wealth inequality in connection with recent development of active financial markets around the world. Existing…

General Finance · Quantitative Finance 2021-09-27 Yuri Biondi , Stefano Olla

We demonstrate by mathematical analysis and systematic computer simulations that redistribution can lead to sustainable growth in a society. The human capital dynamics of each agent is described by a stochastic multiplicative process which,…

General Finance · Quantitative Finance 2015-06-11 Jan Lorenz , Fabian Paetzel , Frank Schweitzer
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