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Sparse index tracking is a prominent passive portfolio management strategy that constructs a sparse portfolio to track a financial index. A sparse portfolio is preferable to a full portfolio in terms of reducing transaction costs and…

Portfolio Management · Quantitative Finance 2024-03-19 Eisuke Yamagata , Shunsuke Ono

Recently, $L_1$ regularization have been attracted extensive attention and successfully applied in mean-variance portfolio selection for promoting out-of-sample properties and decreasing transaction costs. However, $L_1$ regularization…

Optimization and Control · Mathematics 2015-06-22 Fengmin Xu , Zongben Xu , Honggang Xue

In this paper, we study asset selection methods to construct a sparse index tracking portfolio. For its advantage over full replication portfolio, the concept of sparse index tracking portfolio has significant attention in the field of…

Computational Engineering, Finance, and Science · Computer Science 2024-05-10 Yutaka Sakurai , Daiki Wakabayashi , Fumio Ishizaki

Index tracking, also known as passive investing, has gained significant traction in financial markets due to its cost-effective and efficient approach to replicating the performance of a specific market index. This review paper provides a…

Portfolio Management · Quantitative Finance 2026-01-08 Vrinda Dhingra , Amita Sharma , Anubha Goel

Partial (replication) index tracking is a popular passive investment strategy. It aims to replicate the performance of a given index by constructing a tracking portfolio which contains some constituents of the index. The tracking error…

Portfolio Management · Quantitative Finance 2019-11-15 Yu Zheng , Bowei Chen , Timothy M. Hospedales , Yongxin Yang

The passive management approach offers conservative investors a way to reduce risk concerning the market. This investment strategy aims at replicating a specific index, such as the NASDAQ Composite or the FTSE100 index. The problem is that…

Portfolio Management · Quantitative Finance 2023-06-06 Julio Cezar Soares Silva , Adiel Teixeira de Almeida Filho

We study the construction and rebalancing of sparse index-tracking portfolios from an operational research perspective, with explicit emphasis on uncertainty quantification and implementability. The decision variables are portfolio weights…

Computational Finance · Quantitative Finance 2025-12-29 Dimitrios Roxanas

An actively managed portfolio almost never beats the market in the long term. Thus, many investors often resort to passively managed portfolios whose aim is to follow a certain financial index. The task of building such passive portfolios…

In this research, we introduce a novel methodology for the index tracking problem with sparse portfolios by leveraging topological data analysis (TDA). Utilizing persistence homology to measure the riskiness of assets, we introduce a…

Computational Engineering, Finance, and Science · Computer Science 2023-10-17 Anubha Goel , Puneet Pasricha , Juho Kanniainen

Index tracking is a popular form of asset management. Typically, a quadratic function is used to define the tracking error of a portfolio and the look back approach is applied to solve the index tracking problem. We argue that a forward…

Portfolio Management · Quantitative Finance 2021-07-27 Spiridon Penev , Pavel Shevchenko , Wei Wu

Sparse representation has been widely studied in visual tracking, which has shown promising tracking performance. Despite a lot of progress, the visual tracking problem is still a challenging task due to appearance variations over time. In…

Computer Vision and Pattern Recognition · Computer Science 2016-05-03 Xue Yang , Fei Han , Hua Wang , Hao Zhang

Portfolio management problems are often divided into two types: active and passive, where the objective is to outperform and track a preselected benchmark, respectively. Here, we formulate and solve a dynamic asset allocation problem that…

Portfolio Management · Quantitative Finance 2018-07-31 Ali Al-Aradi , Sebastian Jaimungal

The Total Portfolio Approach and Strategic Asset Allocation are widely viewed as competing frameworks for institutional portfolio management. We argue they differ in a single governance parameter: the tracking error constraint. Using U.S.…

Portfolio Management · Quantitative Finance 2026-03-04 Ashwin Alankar , Allan Maymin , Philip Maymin , Myron Scholes , Sujiang Zhang

We develop and implement methods for determining whether relaxing sparsity constraints on portfolios improves the investment opportunity set for risk-averse investors. We formulate a new estimation procedure for sparse second-order…

Econometrics · Economics 2024-09-02 Stelios Arvanitis , Olivier Scaillet , Nikolas Topaloglou

We develop a methodology for index tracking and risk exposure control using financial derivatives. Under a continuous-time diffusion framework for price evolution, we present a pathwise approach to construct dynamic portfolios of…

Mathematical Finance · Quantitative Finance 2017-05-31 Tim Leung , Brian Ward

Index funds are substantially preferred by investors nowadays, and market sensitivities are instrumental in managing index funds. An index fund is a mutual fund aiming to track the returns of a predefined market index (e.g., the S&P 500). A…

Portfolio Management · Quantitative Finance 2022-12-20 Yoonsik Hong , Yanghoon Kim , Jeonghun Kim , Yongmin Choi

This paper studies a variation of the continuous-time mean-variance portfolio selection where a tracking-error penalization is added to the mean-variance criterion. The tracking error term penalizes the distance between the allocation…

Computational Finance · Quantitative Finance 2020-09-21 William Lefebvre , Gregoire Loeper , Huyên Pham

An index tracker is a passive investment reproducing the return and risk of a market index, an enhanced index tracker offers a return greater than the index. We consider the selection of a portfolio of given cardinality to track an index,…

Portfolio Management · Quantitative Finance 2025-03-25 N. Meade , C. A. Valle , J. E. Beasley

A new framework for portfolio diversification is introduced which goes beyond the classical mean-variance approach and portfolio allocation strategies such as risk parity. It is based on a novel concept called portfolio dimensionality that…

Portfolio Management · Quantitative Finance 2019-09-23 Mathias Barkhagen , Brian Fleming , Sergio Garcia Quiles , Jacek Gondzio , Joerg Kalcsics , Jens Kroeske , Sotirios Sabanis , Arne Staal

This paper considers sparsity in linear regression under the restriction that the regression weights sum to one. We propose an approach that combines $\ell_0$- and $\ell_1$-regularization. We compute its solution by adapting a recent…

Methodology · Statistics 2019-07-11 Nick Koning , Paul Bekker
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