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This paper investigates optimal portfolio strategies in a market where the drift is driven by an unobserved Markov chain. Information on the state of this chain is obtained from stock prices and expert opinions in the form of signals at…

投资组合管理 · 定量金融 2016-02-03 Rüdiger Frey , Abdelali Gabih , Ralf Wunderlich

In this work, we consider the optimal portfolio selection problem under hard constraints on trading amounts, transaction costs and different rates for borrowing and lending when the risky asset returns are serially correlated. No…

投资组合管理 · 定量金融 2014-10-30 Vladimir Dombrovskii , Tatyana Obedko

We consider an investor facing a classical portfolio problem of optimal investment in a log-Brownian stock and a fixed-interest bond, but constrained to choose portfolio and consumption strategies that reduce a dynamic shortfall risk…

投资组合管理 · 定量金融 2017-08-04 Imke Redeker , Ralf Wunderlich

In this paper, we consider a continuous-time mean-variance portfolio selection with regime-switching and random horizon. Unlike previous works, the dynamic of assets are described by non-Markovian regime-switching models in the sense that…

数理金融 · 定量金融 2022-05-16 Tian Chen , Ruyi Liu , Zhen Wu

We consider a portfolio optimization problem in a defaultable market with finitely-many economical regimes, where the investor can dynamically allocate her wealth among a defaultable bond, a stock, and a money market account. The market…

投资组合管理 · 定量金融 2011-09-07 Agostino Capponi , Jose E. Figueroa-Lopez

A Markovian modulation captures the trend in the market and influences the market coefficients accordingly. The different scenarios presented by the market are modeled as the distinct states of a discrete-time Markov chain. In our paper, we…

最优化与控制 · 数学 2022-02-09 Bernardo D'Auria , José A. Salmerón

We consider an investor faced with the utility maximization problem in which the risky asset price process has pure-jump dynamics affected by an unobservable continuous-time finite-state Markov chain, the intensity of which can also be…

数理金融 · 定量金融 2017-06-13 Sühan Altay , Katia Colaneri , Zehra Eksi

Optimal execution of a portfolio have been a challenging problem for institutional investors. Traders face the trade-off between average trading price and uncertainty, and traditional methods suffer from the curse of dimensionality. Here,…

投资组合管理 · 定量金融 2023-06-16 Xiaoyue Li , John M. Mulvey

This paper studies a continuous-time market {under stochastic environment} where an agent, having specified an investment horizon and a target terminal mean return, seeks to minimize the variance of the return with multiple stocks and a…

投资组合管理 · 定量金融 2013-02-28 Wan-Kai Pang , Yuan-Hua Ni , Xun Li , Ka-Fai Cedric Yiu

Markov Decision Processes (MDPs) offer a fairly generic and powerful framework to discuss the notion of optimal policies for dynamic systems, in particular when the dynamics are stochastic. However, computing the optimal policy of an MDP…

系统与控制 · 电气工程与系统科学 2024-07-24 Dirk Reinhardt , Akhil S. Anand , Shambhuraj Sawant , Sebastien Gros

We investigate how and when to diversify capital over assets, i.e., the portfolio selection problem, from a signal processing perspective. To this end, we first construct portfolios that achieve the optimal expected growth in i.i.d.…

投资组合管理 · 定量金融 2012-07-18 Sait Tunc , Mehmet A. Donmez , Suleyman S. Kozat

This paper studies the dynamic programming principle using the measurable selection method for stochastic control of continuous processes. The novelty of this work is to incorporate intermediate expectation constraints on the canonical…

最优化与控制 · 数学 2020-04-22 Yuk-Loong Chow , Xiang Yu , Chao Zhou

The paper proposes a new stochastic intervention control model conducted in various commodity and stock markets. The essence of the phenomenon of intervention is described in accordance with current economic theory. A review of papers on…

综合金融 · 定量金融 2018-11-28 Peter Shnurkov , Daniil Novikov

In this paper we set up an optimal control framework for a hybrid stochastic system with dual or multiple Markov switching diffusion processes, while Markov chains governing these switching diffusions are not identical as assumed by the…

最优化与控制 · 数学 2020-11-02 Jianmin Shi

This paper is concerned with a stochastic linear-quadratic optimal control problem with regime switching, random coefficients, and cone control constraint. The randomness of the coefficients comes from two aspects: the Brownian motion and…

最优化与控制 · 数学 2022-01-07 Ying Hu , Xiaomin Shi , Zuo Quan Xu

In this paper we study a class of time-inconsistent terminal Markovian control problems in discrete time subject to model uncertainty. We combine the concept of the sub-game perfect strategies with the adaptive robust stochastic to tackle…

最优化与控制 · 数学 2020-09-10 Tomasz R. Bielecki , Tao Chen , Igor Cialenco

In this paper the optimal control of alignment models composed by a large number of agents is investigated in presence of a selective action of a controller, acting in order to enhance consensus. Two types of selective controls have been…

最优化与控制 · 数学 2016-10-06 Giacomo Albi , Lorenzo Pareschi

We study a an optimal high frequency trading problem within a market microstructure model designed to be a good compromise between accuracy and tractability. The stock price is driven by a Markov Renewal Process (MRP), while market orders…

交易与市场微观结构 · 定量金融 2015-01-06 Pietro Fodra , Huyên Pham

We study the problem of dynamically trading futures in a regime-switching market. Modeling the underlying asset price as a Markov-modulated diffusion process, we present a utility maximization approach to determine the optimal futures…

投资组合管理 · 定量金融 2019-10-16 Tim Leung , Yang Zhou

We consider an augmented version of Merton's portfolio choice problem, where trading by large investors influences the price of underlying financial asset leading to strategic interaction among investors, with investors deciding their…

数理金融 · 定量金融 2023-09-29 Puru Gupta , Saul D. Jacka
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