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We introduce new mathematical methods to study the optimal portfolio size of investment portfolios over time, considering investors with varying skill levels. First, we explore the benefit of portfolio diversification on an annual basis for…

Portfolio Management · Quantitative Finance 2024-02-26 Nick James , Max Menzies

This paper introduces a novel agent-based approach for enhancing existing portfolio strategies using Proximal Policy Optimization (PPO). Rather than focusing solely on traditional portfolio construction, our approach aims to improve an…

Portfolio Management · Quantitative Finance 2025-02-06 Daniil Karzanov , Rubén Garzón , Mikhail Terekhov , Caglar Gulcehre , Thomas Raffinot , Marcin Detyniecki

Ride-pooling systems, to succeed, must provide an attractive service, namely compensate perceived costs with an appealing price. However, because of a strong heterogeneity in a value-of-time, each traveller has his own acceptable price,…

Computer Science and Game Theory · Computer Science 2025-09-01 Michal Bujak , Rafal Kucharski

We propose a data-driven portfolio selection model that integrates side information, conditional estimation and robustness using the framework of distributionally robust optimization. Conditioning on the observed side information, the…

Portfolio Management · Quantitative Finance 2024-04-10 Viet Anh Nguyen , Fan Zhang , Shanshan Wang , Jose Blanchet , Erick Delage , Yinyu Ye

We consider an investor, whose portfolio consists of a single risky asset and a risk free asset, who wants to maximize his expected utility of the portfolio subject to managing the Value at Risk (VaR) assuming a heavy tailed distribution of…

Portfolio Management · Quantitative Finance 2020-12-02 Subhojit Biswas , Mrinal K. Ghosh , Diganta Mukherjee

Changes in market conditions present challenges for investors as they cause performance to deviate from the ranges predicted by long-term averages of means and covariances. The aim of conditional asset allocation strategies is to overcome…

General Finance · Quantitative Finance 2022-11-03 Reza Bradrania , Davood Pirayesh Neghab

We consider the life-cycle optimal portfolio choice problem faced by an agent receiving labor income and allocating her wealth to risky assets and a riskless bond subject to a borrowing constraint. In this paper, to reflect a realistic…

Optimization and Control · Mathematics 2020-09-10 Boualem Djehiche , Fausto Gozzi , Giovanni Zanco , Margherita Zanella

Robust planning in interactive scenarios requires predicting the uncertain future to make risk-aware decisions. Unfortunately, due to long-tail safety-critical events, the risk is often under-estimated by finite-sampling approximations of…

Machine Learning · Computer Science 2023-01-13 Haruki Nishimura , Jean Mercat , Blake Wulfe , Rowan McAllister , Adrien Gaidon

Portfolio optimization requires dynamic allocation of funds by balancing the risk and return tradeoff under dynamic market conditions. With the recent advancements in AI, Deep Reinforcement Learning (DRL) has gained prominence in providing…

Portfolio Management · Quantitative Finance 2025-05-08 Arishi Orra , Aryan Bhambu , Himanshu Choudhary , Manoj Thakur , Selvaraju Natarajan

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

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 recent years, the evaluation of the minimal investment risk of the quenched disordered system of a portfolio optimization problem and the investment concentration of the optimal portfolio has been actively investigated using the analysis…

Portfolio Management · Quantitative Finance 2019-08-22 Takashi Shinzato

Autonomous agents (robots) face tremendous challenges while interacting with heterogeneous human agents in close proximity. One of these challenges is that the autonomous agent does not have an accurate model tailored to the specific human…

Robotics · Computer Science 2023-04-25 Shuangge Wang , Yiwei Lyu , John M. Dolan

We present a quantum algorithm for portfolio optimization. We discuss the market data input, the processing of such data via quantum operations, and the output of financially relevant results. Given quantum access to the historical record…

Quantum Physics · Physics 2018-11-12 Patrick Rebentrost , Seth Lloyd

Portfolio optimisation is essential in quantitative investing, but its implementation faces several practical difficulties. One particular challenge is converting optimal portfolio weights into real-life trades in the presence of realistic…

Portfolio Management · Quantitative Finance 2024-10-01 Cristiano Arbex Valle

In the financial system, bailout strategies play a pivotal role in mitigating substantial losses resulting from systemic risk. However, the lack of a closed-form objective function to the optimal bailout problem poses significant challenges…

Risk Management · Quantitative Finance 2025-08-27 Shuhua Xiao , Jiali Ma , Li Xia , Shushang Zhu

We consider an investor who seeks to maximize her expected utility derived from her terminal wealth relative to the maximum performance achieved over a fixed time horizon, and under a portfolio drawdown constraint, in a market with local…

Portfolio Management · Quantitative Finance 2016-10-28 Ankush Agarwal , Ronnie Sircar

When faced with a new customer, many factors contribute to an insurance firm's decision of what offer to make to that customer. In addition to the expected cost of providing the insurance, the firm must consider the other offers likely to…

Machine Learning · Computer Science 2024-08-05 Edward James Young , Alistair Rogers , Elliott Tong , James Jordon

Portfolio optimization is essential for balancing risk and return in financial decision-making. Deep Reinforcement Learning (DRL) has stood out as a cutting-edge tool for portfolio optimization that learns dynamic asset allocation using…

Machine Learning · Computer Science 2025-09-16 Himanshu Choudhary , Arishi Orra , Manoj Thakur

Agentic AI shifts the investor's role from analytical execution to oversight. We present an agentic strategic asset allocation pipeline in which approximately 50 specialized agents produce capital market assumptions, construct portfolios…

Artificial Intelligence · Computer Science 2026-04-03 Andrew Ang , Nazym Azimbayev , Andrey Kim
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