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Markowitz' celebrated optimal portfolio theory generally fails to deliver out-of-sample diversification. In this note, we propose a new portfolio construction strategy based on symmetry arguments only, leading to "Eigenrisk Parity"…

Portfolio Management · Quantitative Finance 2016-10-28 Raphael Benichou , Yves Lempérière , Emmanuel Sérié , Julien Kockelkoren , Philip Seager , Jean-Philippe Bouchaud , Marc Potters

We address the problem of strategic asset allocation (SAA) with portfolios that include illiquid alternative asset classes. The main challenge in portfolio construction with illiquid asset classes is that we do not have direct control over…

We relook at the classic equity fund selection and portfolio construction problems from a new perspective and propose an easy-to-implement framework to tackle the problem in practical investment. Rather than the conventional way by…

Portfolio Management · Quantitative Finance 2020-04-24 Yi Cao

Providing a measure of market risk is an important issue for investors and financial institutions. However, the existing models for this purpose are per definition symmetric. The current paper introduces an asymmetric capital asset pricing…

Pricing of Securities · Quantitative Finance 2024-05-07 Abdulnasser Hatemi-J

We consider the problem of constructing a portfolio that combines traditional financial assets with crypto assets. We show that despite the documented attributes of crypto assets, such as high volatility, heavy tails, excess kurtosis, and…

Econometrics · Economics 2024-12-04 Kasper Johansson , Stephen Boyd

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

The existing approaches to sparse wealth allocations (1) are limited to low-dimensional setup when the number of assets is less than the sample size; (2) lack theoretical analysis of sparse wealth allocations and their impact on portfolio…

Econometrics · Economics 2021-04-27 Ekaterina Seregina

We consider the problem of maximizing the asymptotic growth rate of an investor under drift uncertainty in the setting of stochastic portfolio theory (SPT). As in the work of Kardaras and Robertson we take as inputs (i) a Markovian…

Mathematical Finance · Quantitative Finance 2021-08-12 David Itkin , Martin Larsson

When the planning horizon is long, and the safe asset grows indefinitely, isoelastic portfolios are nearly optimal for investors who are close to isoelastic for high wealth, and not too risk averse for low wealth. We prove this result in a…

Portfolio Management · Quantitative Finance 2014-08-19 Paolo Guasoni , Johannes Muhle-Karbe , Hao Xing

We propose a portfolio allocation method based on risk factor budgeting using convex Nonnegative Matrix Factorization (NMF). Unlike classical factor analysis, PCA, or ICA, NMF ensures positive factor loadings to obtain interpretable…

Portfolio Management · Quantitative Finance 2023-06-13 Bruno Spilak , Wolfgang Karl Härdle

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…

Computational Engineering, Finance, and Science · Computer Science 2021-09-29 Matthew Kruger , Terence L. van Zyl , Andrew Paskaramoorthy

Mean-reverting assets are one of the holy grails of financial markets: if such assets existed, they would provide trivially profitable investment strategies for any investor able to trade them, thanks to the knowledge that such assets…

Statistical Finance · Quantitative Finance 2015-09-22 Marco Cuturi , Alexandre d'Aspremont

Portfolio management is an essential component of investment strategy that aims to maximize returns while minimizing risk. This paper explores several portfolio management strategies, including asset allocation, diversification, active…

Portfolio Management · Quantitative Finance 2023-04-13 Soumyadip Sarkar

Growth-optimal portfolios are guaranteed to accumulate higher wealth than any other investment strategy in the long run. However, they tend to be risky in the short term. For serially uncorrelated markets, similar portfolios with more…

Portfolio Management · Quantitative Finance 2016-09-20 Byung-Geun Choi , Napat Rujeerapaiboon , Ruiwei Jiang

Strategic asset allocation requires an investor to select stocks from a given basket of assets. The perspective of our investor is to maximize risk-adjusted alpha returns relative to a benchmark index. Historical returns are used to provide…

Applications · Statistics 2019-12-03 Vadim Sokolov , Michael Polson

Algorithmic trading or Financial robots have been conquering the stock markets with their ability to fathom complex statistical trading strategies. But with the recent development of deep learning technologies, these strategies are becoming…

Portfolio Management · Quantitative Finance 2024-05-06 Ashish Anil Pawar , Vishnureddy Prashant Muskawar , Ritesh Tiku

Simultaneously utilizing several complementary solvers is a simple yet effective strategy for solving computationally hard problems. However, manually building such solver portfolios typically requires considerable domain knowledge and…

Artificial Intelligence · Computer Science 2018-04-18 Shengcai Liu , Ke Tang , Xin Yao

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

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

This paper introduces a methodology for constructing a market index composed of a liquid risky asset and a liquid risk-free asset that achieves a fixed target volatility. Existing volatility-targeting strategies typically scale portfolio…

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