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This study examines how institutional differences and external crises shape volatility dynamics in emerging Asian stock markets. Using daily stock index returns for Indonesia, Malaysia, and the Philippines from 2010 to 2024, we estimate…

Statistical Finance · Quantitative Finance 2025-10-21 Junlin Yang

In this paper, we revisit the relationship between investors' utility functions and portfolio allocation rules. We derive portfolio allocation rules for asymmetric Laplace distributed $ALD(\mu,\sigma,\kappa)$ returns and compare them with…

Portfolio Management · Quantitative Finance 2023-11-14 Maxime Markov , Vladimir Markov

We extend the classical mean-variance (MV) framework and propose a robust and sparse portfolio selection model incorporating an ellipsoidal uncertainty set to reduce the impact of estimation errors and fixed transaction costs to penalize…

Portfolio Management · Quantitative Finance 2024-12-30 J. Chen , S. D. Ahipaşaoğlu , N. Zhang , Y. Yang

The portfolio optimization problem is a critical issue in asset management and has long been studied. Markowitz's mean-variance model has fundamental limitations, such as the assumption of a normal distribution for returns and sensitivity…

Statistical Mechanics · Physics 2025-10-28 Keita Takahashi , Tetsuro Abe , Yasuhito Nakamura , Ryo Hidaka , Shuta Kikuchi , Shu Tanaka

Portfolio optimization approaches inevitably rely on multivariate modeling of markets and the economy. In this paper, we address three sources of error related to the modeling of these complex systems: 1. oversimplifying hypothesis; 2.…

Statistical Finance · Quantitative Finance 2021-03-30 Pier Francesco Procacci , Tomaso Aste

Portfolio optimization is one of the most attentive fields that have been researched with machine learning approaches. Many researchers attempted to solve this problem using deep reinforcement learning due to its efficient inherence that…

Portfolio Management · Quantitative Finance 2021-01-11 Tae Wan Kim , Matloob Khushi

This paper considers mean-variance optimization under uncertainty, specifically when one desires a sparsified set of optimal portfolio weights. From the standpoint of a Bayesian investor, our approach produces a small portfolio from many…

Statistical Finance · Quantitative Finance 2016-10-05 David Puelz , P. Richard Hahn , Carlos M. Carvalho

We propose a distributionally robust formulation of the traditional risk parity portfolio optimization problem. Distributional robustness is introduced by targeting the discrete probabilities attached to each observation used during…

Optimization and Control · Mathematics 2021-10-14 Giorgio Costa , Roy H. Kwon

In this work, we consider the optimal portfolio selection problem under hard constraints on trading volume amounts when the dynamics of the risky asset returns are governed by a discrete-time approximation of the Markov-modulated geometric…

Portfolio Management · Quantitative Finance 2014-10-07 Vladimir Dombrovskii , Tatyana Obyedko

We apply numerical dynamic programming techniques to solve discrete-time multi-asset dynamic portfolio optimization problems with proportional transaction costs and shorting/borrowing constraints. Examples include problems with multiple…

Portfolio Management · Quantitative Finance 2020-03-05 Yongyang Cai , Kenneth Judd , Rong Xu

There are five different forms of intervention presently realised by the Indonesian government in an effort to end the COVID-19 pandemic: vaccinations, social restrictions, tracings, testings, and treatments. In this paper, we construct an…

Dynamical Systems · Mathematics 2022-03-31 Benny Yong , Jonathan Hoseana , Livia Owen

Risk management is very important for individual investors or companies. There are many ways to measure the risk of investment. Prices of risky assets vary rapidly and randomly due to the complexity of finance market. Random interval is a…

Portfolio Management · Quantitative Finance 2022-07-26 Jinping Zhang , Keming Zhang

This paper studies the robust portfolio selection problem under a state-dependent confidence set. The investor invests in a financial market with a risk-free asset and a risky asset. The ambiguity-averse investor faces uncertainty over the…

Optimization and Control · Mathematics 2024-10-01 Guohui Guan , Yuting Jia , Zongxia Liang

With the rise of emerging risks, model uncertainty poses a fundamental challenge in the insurance industry, making robust pricing a first-order question. This paper investigates how insurers' robustness preferences shape competitive…

Risk Management · Quantitative Finance 2025-10-20 Shunzhi Pang

The problem of data uncertainty has motivated the incorporation of robust optimization in various arenas, beyond the Markowitz portfolio optimization. This work presents the extension of the robust optimization framework for the…

Portfolio Management · Quantitative Finance 2019-08-15 Mohammed Bilal Girach , Shashank Oberoi , Siddhartha P. Chakrabarty

Artificial intelligence is transforming financial investment decision-making frameworks, with deep reinforcement learning demonstrating substantial potential in robo-advisory applications. This paper addresses the limitations of traditional…

Portfolio Management · Quantitative Finance 2025-02-24 Gang Huang , Xiaohua Zhou , Qingyang Song

The entropic risk measure is widely used in high-stakes decision-making across economics, management science, finance, and safety-critical control systems because it captures tail risks associated with uncertain losses. However, when data…

Optimization and Control · Mathematics 2026-01-05 Utsav Sadana , Erick Delage , Angelos Georghiou

Recent studies stressed the fact that covariance matrices computed from empirical financial time series appear to contain a high amount of noise. This makes the classical Markowitz Mean-Variance Optimization model unable to correctly…

Optimization and Control · Mathematics 2021-03-03 Justo Puerto , Federica Ricca , Moisés Rodríguez-Madrena , Andrea Scozzari

Portfolio optimization is an important process in finance that consists in finding the optimal asset allocation that maximizes expected returns while minimizing risk. When assets are allocated in discrete units, this is a combinatorial…

Statistical Mechanics · Physics 2022-10-04 Álvaro Rubio-García , Juan José García-Ripoll , Diego Porras

Inventory management is a fundamental challenge in supply chain management. The challenge is compounded when the associated products have unpredictable demands. This study proposes an innovative optimization approach combining…

Optimization and Control · Mathematics 2024-02-20 Sarit Maitra