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The fundamental principle in Modern Portfolio Theory (MPT) is based on the quantification of the portfolio's risk related to performance. Although MPT has made huge impacts on the investment world and prompted the success and prevalence of…

投资组合管理 · 定量金融 2021-02-15 Shi Yu , Haoran Wang , Chaosheng Dong

In an incomplete market, including liquidly-traded European options in an investment portfolio could potentially improve the expected terminal utility for a risk-averse investor. However, unlike the Sharpe ratio, which provides a concise…

数理金融 · 定量金融 2019-08-15 Ankush Agarwal , Matthew Lorig

We consider a reference security, understood to be an attractive investment, with the caveat that an investor is not willing to directly invest in the security, for presence of constraints, either investor specific or pertaining to the…

投资组合管理 · 定量金融 2022-11-03 Sidharth Mallik

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…

投资组合管理 · 定量金融 2024-02-26 Nick James , Max Menzies

Consider an investor trading dynamically to maximize expected utility from terminal wealth. Our aim is to study the dependence between her risk aversion and the distribution of the optimal terminal payoff. Economic intuition suggests that…

综合金融 · 定量金融 2011-09-15 Mathias Beiglboeck , Johannes Muhle-Karbe , Johannes Temme

Portfolio underdiversification is one of the most costly losses accumulated over a household's life cycle. We provide new evidence on the impact of financial inclusion services on households' portfolio choice and investment efficiency using…

综合经济学 · 经济学 2023-11-03 Yong Bian , Xiqian Wang , Qin Zhang

The Sharpe ratio is a way to compare the excess returns (over the risk free asset) of portfolios for each unit of volatility that is generated by a portfolio. In this paper we introduce a robust Sharpe ratio portfolio under the assumption…

投资组合管理 · 定量金融 2020-05-28 Juan F. Monge , Mercedes Landete , José L. Ruiz

This paper investigates a novel behavioral feature of recursive preferences: aversion to risks that persist over time, or simply \textit{correlation aversion}. Greater persistence provides information about future consumption but reduces…

理论经济学 · 经济学 2026-03-24 Lorenzo Maria Stanca

Given two random realized returns on an investment, which is to be preferred? This is a fundamental problem in finance that has no definitive solution except in the case one investment always returns more than the other. In 1952 Markowitz…

投资组合管理 · 定量金融 2020-09-24 Keith A. Lewis

Under mean-variance-utility framework, we propose a new portfolio selection model, which allows wealth and time both have influences on risk aversion in the process of investment. We solved the model under a game theoretic framework and…

投资组合管理 · 定量金融 2020-08-11 Ben-Zhang Yang , Xin-Jiang He , Song-Ping Zhu

In financial asset management, choosing a portfolio requires balancing returns, risk, exposure, liquidity, volatility and other factors. These concerns are difficult to compare explicitly, with many asset managers using an intuitive or…

计算工程、金融与科学 · 计算机科学 2017-08-28 Kevin Tee , Michael McCourt , Ruben Martinez-Cantin , Ian Dewancker , Frank Liu

In this article we solve the problem of maximizing the expected utility of future consumption and terminal wealth to determine the optimal pension or life-cycle fund strategy for a cohort of pension fund investors. The setup is strongly…

数理金融 · 定量金融 2020-08-03 Andreas Lichtenstern , Pavel V. Shevchenko , Rudi Zagst

The standard approach for constructing a Mean-Variance portfolio involves estimating parameters for the model using collected samples. However, since the distribution of future data may not resemble that of the training set, the…

数理金融 · 定量金融 2025-03-12 Duy Khanh Lam

This paper introduces a novel stochastic control framework to enhance the capabilities of automated investment managers, or robo-advisors, by accurately inferring clients' investment preferences from past activities. Our approach leverages…

最优化与控制 · 数学 2024-06-05 Haoyang Cao , Zhengqi Wu , Renyuan Xu

In this paper we take a look at a simple portfolio insurance strategy using a protective put and computationally derive the investor's governing utility structures underlying such a strategy under alternative market scenarios. Investor…

综合数学 · 数学 2007-05-23 M. Khoshnevisan , Florentin Smarandache , Sukanto Bhattacharya

We revisit the problem of portfolio selection, where an investor maximizes utility subject to a risk constraint. Our framework is very general and accommodates a wide range of utility and risk functionals, including non-concave utilities…

数理金融 · 定量金融 2025-09-15 Leonardo Baggiani , Martin Herdegen , Nazem Khan

Portfolio diversification is a cornerstone of modern finance, while risk aversion is central to decision theory; both concepts are long-standing and foundational. We investigate their connections by studying how different forms of…

理论经济学 · 经济学 2026-03-26 Xiangxin He , Fangda Liu , Ruodu Wang

In behavioral finance, aversion affects investors' judgment of future uncertainty when profit and loss occur. Considering investors' aversion to loss and risk, and the ambiguous uncertainty characterizing asset returns, we construct a…

最优化与控制 · 数学 2022-05-06 Xin Zhang

This study develops an inverse portfolio optimization framework for recovering latent investor preferences including risk aversion, transaction cost sensitivity, and ESG orientation from observed portfolio allocations. Using controlled…

综合金融 · 定量金融 2025-10-14 Jinho Cha , Long Pham , Thi Le Hoa Vo , Jaeyoung Cho , Jaejin Lee

Sharpe et al. proposed the idea of having an expected utility maximizer choose a probability distribution for future wealth as an input to her investment problem instead of a utility function. They developed a computer program, called The…

投资组合管理 · 定量金融 2013-01-08 Phillip Monin
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