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This paper studies an optimal investment-consumption problem for competitive agents with exponential or power utilities and a common finite time horizon. Each agent regards the average of habit formation and wealth from all peers as…

Optimization and Control · Mathematics 2024-05-06 Zongxia Liang , Keyu Zhang

The mean and variance of portfolio returns are the standard quantities to measure the expected return and risk of a portfolio. Efficient portfolios that provide optimal trade-offs between mean and variance warrant consideration. To express…

Signal Processing · Electrical Eng. & Systems 2022-12-15 Shengjie Xiu , Xiwen Wang , Daniel P. Palomar

This paper studies a type of periodic utility maximization for portfolio management in an incomplete market model, where the underlying price diffusion process depends on some external stochastic factors. The portfolio performance is…

Portfolio Management · Quantitative Finance 2024-01-29 Wenyuan Wang , Kaixin Yan , Xiang Yu

The effectiveness of utility-maximization techniques for portfolio management relies on our ability to estimate correctly the parameters of the dynamics of the underlying financial assets. In the setting of complete or incomplete financial…

Portfolio Management · Quantitative Finance 2008-12-10 Kasper Larsen , Gordan Zitkovic

This paper studies the income fluctuation problem with capital income risk (i.e., dispersion in the rate of return to wealth). Wealth returns and labor earnings are allowed to be serially correlated and mutually dependent. Rewards can be…

Theoretical Economics · Economics 2018-12-05 Qingyin Ma , John Stachurski , Alexis Akira Toda

In this study we propose a unified model of optimal retirement, consumption and portfolio choice of an individual agent, which encompasses a large class of the models in the literature and provide a general methodology to solve the model.…

Optimization and Control · Mathematics 2021-11-02 Junkee Jeon , Hyeng Keun Koo

We perform a stability analysis for the utility maximization problem in a general semimartingale model where both liquid and illiquid assets (random endowments) are present. Small misspecifications of preferences (as modeled via expected…

Portfolio Management · Quantitative Finance 2010-03-17 Constantinos Kardaras , Gordan Zitkovic

We consider a semilinear equation linked to the finite horizon consumption - investment problem under the stochastic factor framework and we prove it admits a classical solution and provide all obligatory estimates to successfully apply a…

Optimization and Control · Mathematics 2021-04-28 Dariusz Zawisza

The optimization of large portfolios displays an inherent instability to estimation error. This poses a fundamental problem, because solutions that are not stable under sample fluctuations may look optimal for a given sample, but are, in…

Portfolio Management · Quantitative Finance 2015-05-14 Susanne Still , Imre Kondor

This paper discusses the sensitivity of the long-term expected utility of optimal portfolios for an investor with constant relative risk aversion. Under an incomplete market given by a factor model, we consider the utility maximization…

Mathematical Finance · Quantitative Finance 2019-06-11 Hyungbin Park , Stephan Sturm

Mean-variance portfolio optimization problems often involve separable nonconvex terms, including penalties on capital gains, integer share constraints, and minimum position and trade sizes. We propose a heuristic algorithm for such problems…

Optimization and Control · Mathematics 2022-07-04 Nicholas Moehle , Jack Gindi , Stephen Boyd , Mykel Kochenderfer

The subject of this paper is an optimal consumption/optimal portfolio problem with transaction costs and with multiple risky assets. In our model the transaction costs take a special form in that transaction costs on purchases of one of the…

Mathematical Finance · Quantitative Finance 2014-09-30 David Hobson , Yeqi Zhu

We revisit the optimal dividend problem of de Finetti by adding a variance term to the usual criterion of maximizing the expected discounted dividends paid until ruin, in a singular control framework. Investors do not like variability in…

Optimization and Control · Mathematics 2025-11-12 Jingyi Cao , Dongchen Li , Virginia R. Young , Bin Zou

Value-at-Risk is one of the most popular risk management tools in the financial industry. Over the past 20 years several attempts to include VaR in the portfolio selection process have been proposed. However, using VaR as a risk measure in…

Portfolio Management · Quantitative Finance 2021-11-19 Francesco Cesarone , Manuel L Martino , Fabio Tardella

We extend and test empirically the multifractal model of asset returns based on a multiplicative cascade of volatilities from large to small time scales. The multifractal description of asset fluctuations is generalized into a multivariate…

Statistical Mechanics · Physics 2008-12-10 J. -F. Muzy , D. Sornette , J. Delour , A. Arneodo

This paper is concerned with portfolio optimization models for creating high-quality lists of recommended items to balance the accuracy and diversity of recommendations. However, the statistics (i.e., expectation and covariance of ratings)…

Information Retrieval · Computer Science 2024-10-01 Tomoya Yanagi , Shunnosuke Ikeda , Yuichi Takano

We study an optimization-based approach to con- struct a mean-reverting portfolio of assets. Our objectives are threefold: (1) design a portfolio that is well-represented by an Ornstein-Uhlenbeck process with parameters estimated by maximum…

Portfolio Management · Quantitative Finance 2018-03-20 Jize Zhang , Tim Leung , Aleksandr Y. Aravkin

In this paper, we study optimal liquidation problems in a randomly-terminated horizon. We consider the liquidation of a large single-asset portfolio with the aim of minimizing a combination of volatility risk and transaction costs arising…

Trading and Market Microstructure · Quantitative Finance 2017-09-19 Qing-Qing Yang , Wai-Ki Ching , Jia-Wen Gu , Tak Kwong Wong

The monotone mean-variance (MMV) preference proposed by Maccheroni, et al. (Math. Finance 19(3): 487-521, 2009) fails to differentiate strictly dominant payoffs, which may cause inconsistency in portfolio decision-making. This paper…

Mathematical Finance · Quantitative Finance 2026-04-03 Yike Wang , Yusha Chen , Jingzhen Liu , Zhenyu Cui

This paper investigates portfolio selection within a continuous-time financial market with regime-switching and beliefs-dependent utilities. The market coefficients and the investor's utility function both depend on the market regime, which…

Optimization and Control · Mathematics 2024-10-23 Xiaochen Chen , Guohui Guan , Zongxia Liang