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In this paper, we study an intertemporal utility maximization problem in which an investor chooses consumption and portfolio strategies in the presence of a stochastic factor and a no-borrowing constraint. In the spirit of the Kim-Omberg…

最优化与控制 · 数学 2026-03-12 Giorgio Ferrari , Tim Niclas Schütz

We consider the optimal investment and marginal utility pricing problem of a risk averse agent and quantify their exposure to a small amount of model uncertainty. Specifically, we compute explicitly the first-order sensitivity of their…

数理金融 · 定量金融 2021-11-15 Jan Obloj , Johannes Wiesel

This survey reviews portfolio selection problem for long-term horizon. We consider two objectives: (i) maximize the probability for outperforming a target growth rate of wealth process (ii) minimize the probability of falling below a target…

投资组合管理 · 定量金融 2014-08-28 Huyen Pham

We investigate a continuous-time investment-consumption problem with model uncertainty in a general diffusion-based market with random model coefficients. We assume that a power utility investor is ambiguity-averse, with the preference to…

投资组合管理 · 定量金融 2024-07-04 Len Patrick Dominic M. Garces , Yang Shen

We study the sensitivity of the expected utility maximization problem in a continuous semi-martingale market with respect to small changes in the market price of risk. Assuming that the preferences of a rational economic agent are modeled…

投资组合管理 · 定量金融 2017-05-24 Oleksii Mostovyi , Mihai Sîrbu

We study the problem of optimal long term portfolio selection with a view to beat a benchmark. Two kinds of objectives are considered. One concerns the probability of outperforming the benchmark and seeks either to minimise the decay rate…

概率论 · 数学 2017-12-04 Anatolii A. Puhalskii

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…

投资组合管理 · 定量金融 2024-01-29 Wenyuan Wang , Kaixin Yan , Xiang Yu

We consider a single-period portfolio selection problem for an investor, maximizing the expected ratio of the portfolio utility and the utility of a best asset taken in hindsight. The decision rules are based on the history of stock returns…

投资组合管理 · 定量金融 2020-06-11 Dmitry B. Rokhlin

This paper investigates the problem of maximizing expected terminal utility in a discrete-time financial market model with a finite horizon under non-dominated model uncertainty. We use a dynamic programming framework together with…

数理金融 · 定量金融 2017-10-03 Laurence Carassus , Romain Blanchard

In this paper, we consider the portfolio optimization problem in a financial market under a general utility function. Empirical results suggest that if a significant market fluctuation occurs, invested wealth tends to have a notable change…

投资组合管理 · 定量金融 2022-01-26 Minglian Lin , Indranil SenGupta

This paper examines an optimal investment problem in a continuous-time (essentially) complete financial market with a finite horizon. We deal with an investor who behaves consistently with principles of Cumulative Prospect Theory, and whose…

投资组合管理 · 定量金融 2014-03-18 Miklós Rásonyi , Andrea Meireles Rodrigues

This paper studies a type of periodic utility maximization problems for portfolio management in incomplete stochastic factor models with convex trading constraints. The portfolio performance is periodically evaluated on the relative ratio…

数理金融 · 定量金融 2024-11-22 Wenyuan Wang , Kaixin Yan , Xiang Yu

For a stochastic factor model we maximize the long-term growth rate of robust expected power utility with parameter $\lambda\in(0,1)$. Using duality methods the problem is reformulated as an infinite time horizon, risk-sensitive control…

概率论 · 数学 2012-03-07 Thomas Knispel

This paper studies the properties of the optimal portfolio-consumption strategies in a {finite horizon} robust utility maximization framework with different borrowing and lending rates. In particular, we allow for constraints on both…

投资组合管理 · 定量金融 2018-12-06 Zhou Yang , Gechun Liang , Chao Zhou

The aim of this work consists in the study of the optimal investment strategy for a behavioural investor, whose preference towards risk is described by both a probability distortion and an S-shaped utility function. Within a continuous-time…

投资组合管理 · 定量金融 2013-04-30 Miklos Rasonyi , Andrea M. Rodrigues

We study the problem of maximising terminal utility for an agent facing model uncertainty, in a frictionless discrete-time market with one safe asset and finitely many risky assets. We show that an optimal investment strategy exists if the…

数理金融 · 定量金融 2020-07-10 Miklós Rásonyi , Andrea Meireles-Rodrigues

Long term optimal investment problems are studied in a factor model with matrix valued state variables. Explicit parameter restrictions are obtained under which, for an isoelastic investor, the finite horizon value function and optimal…

数理金融 · 定量金融 2014-09-01 Scott Robertson , Hao Xing

A classical portfolio theory deals with finding the optimal proportion in which an agent invests a wealth in a risk-free asset and a probabilistic risky asset. Formulating and solving the problem depend on how the risk is represented and…

投资组合管理 · 定量金融 2019-01-28 Irina Georgescu , Jani Kinnunen

We solve an expected utility-maximization problem with a Value-at-risk constraint on the terminal portfolio value in an incomplete financial market due to stochastic volatility. To derive the optimal investment strategy, we use the dynamic…

投资组合管理 · 定量金融 2025-05-21 Marcos Escobar-Anel , Yevhen Havrylenko , Rudi Zagst

This paper studies some unconventional utility maximization problems when the ratio type relative portfolio performance is periodically evaluated over an infinite horizon. Meanwhile, the agent is prohibited from short-selling stocks. Our…

投资组合管理 · 定量金融 2023-12-20 Wenyuan Wang , Kaixin Yan , Xiang Yu
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