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We study optimal investment problems under the framework of cumulative prospect theory (CPT). A CPT investor makes investment decisions in a single-period financial market with transaction costs. The objective is to seek the optimal…

投资组合管理 · 定量金融 2016-11-15 Bin Zou , Rudi Zagst

Most decision theories, including expected utility theory, rank dependent utility theory and cumulative prospect theory, assume that investors are only interested in the distribution of returns and not in the states of the economy in which…

投资组合管理 · 定量金融 2014-07-03 Carole Bernard , Franck Moraux , Ludger Rueschendorf , Steven Vanduffel

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

In this article, inspired by Shi, et al. we investigate the optimal portfolio selection with one risk-free asset and one risky asset in a multiple period setting under cumulative prospect theory (CPT). Compared with their study, our novelty…

投资组合管理 · 定量金融 2019-03-26 Liurui Deng , Traian A. Pirvu

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

We consider the problem of choosing a portfolio that maximizes the cumulative prospect theory (CPT) utility on an empirical distribution of asset returns. We show that while CPT utility is not a concave function of the portfolio weights, it…

最优化与控制 · 数学 2024-01-11 Eric Luxenberg , Philipp Schiele , Stephen Boyd

We consider an arbitrage-free, discrete time and frictionless market. We prove that an investor maximising the expected utility of her terminal wealth can always find an optimal investment strategy provided that her dissatisfaction of…

投资组合管理 · 定量金融 2014-09-09 Miklos Rasonyi

We investigate an optimal investment problem with a general performance criterion which, in particular, includes discontinuous functions. Prices are modeled as diffusions and the market is incomplete. We find an explicit solution for the…

概率论 · 数学 2008-12-02 Nikolai Dokuchaev , Ulrich Haussmann

The main objective of this paper is to develop a martingale-type solution to optimal consumption--investment choice problems ([Merton, 1969] and [Merton, 1971]) under time-varying incomplete preferences driven by externalities such as…

数理金融 · 定量金融 2025-01-14 Weixuan Xia

Cumulative prospect theory (CPT) is known to model human decisions well, with substantial empirical evidence supporting this claim. CPT works by distorting probabilities and is more general than the classic expected utility and coherent…

机器学习 · 计算机科学 2016-03-01 Prashanth L. A. , Cheng Jie , Michael Fu , Steve Marcus , Csaba Szepesvári

This paper studies a continuous-time optimal portfolio selection problem in the complete market for a behavioral investor whose preference is of the prospect type with probability distortion. The investor concerns about the terminal…

投资组合管理 · 定量金融 2022-11-11 Jing Peng , Pengyu Wei , Zuo Quan Xu

Lotteries are a prevalent form of gambling between a seller and buyers. Designing a lottery requires a model of how buyers make decisions when confronted with uncertain outcomes. Cumulative prospect theory (CPT) is a descriptive model that…

计算机科学与博弈论 · 计算机科学 2026-05-20 Shunta Akiyama , Mitsuaki Obara , Yasushi Kawase

This paper formulates and studies a general continuous-time behavioral portfolio selection model under Kahneman and Tversky's (cumulative) prospect theory, featuring S-shaped utility (value) functions and probability distortions. Unlike the…

投资组合管理 · 定量金融 2008-12-02 Hanqing Jin , Xunyu Zhou

We consider a multi-stock continuous time incomplete market model with random coefficients. We study the investment problem in the class of strategies which do not use direct observations of the appreciation rates of the stocks, but rather…

数理金融 · 定量金融 2015-02-10 Nikolai Dokuchaev

We treat a fairly broad class of financial models which includes markets with proportional transaction costs. We consider an investor with cumulative prospect theory preferences and a non-negativity constraint on portfolio wealth. The…

投资组合管理 · 定量金融 2019-03-21 Huy N. Chau , Miklos Rasonyi

Users can now give back energies to the grid using distributed resources. Proper incentive mechanisms are required for such users, also known as prosumers, in order to maximize the sell-back amount while maintaining the retailer's profit.…

最优化与控制 · 数学 2022-03-14 Diptangshu Sen , Arnob Ghosh

In this article, we study optimal investment and consumption in an incomplete stochastic factor model for a power utility investor on the infinite horizon. When the state space of the stochastic factor is finite, we give a complete…

数理金融 · 定量金融 2025-09-12 Florian Gutekunst , Martin Herdegen , David Hobson

In this paper we study the optimal investment and reinsurance problem of an insurance company whose investment preferences are described via a forward dynamic exponential utility in a regime-switching market model. Financial and actuarial…

投资组合管理 · 定量金融 2021-06-29 Katia Colaneri , Alessandra Cretarola , Benedetta Salterini

We study the optimal investment and proportional reinsurance problem of an insurance company, whose investment preferences are described via a forward dynamic utility of exponential type in a stochastic factor model allowing for a possible…

数理金融 · 定量金融 2022-10-20 Katia Colaneri , Alessandra Cretarola , Benedetta Salterini

We study a general robust utility maximization problem in a discrete-time frictionless market. The investor is assumed to have a possibly infinite, random, nonconcave, and nondecreasing utility function defined on the whole real line. She…

数理金融 · 定量金融 2025-10-14 Laurence Carassus , Massinissa Ferhoune
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