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Management of the portfolios containing low liquidity assets is a tedious problem. The buyer proposes the price that can differ greatly from the paper value estimated by the seller, the seller, on the other hand, can not liquidate his…

Portfolio Management · Quantitative Finance 2020-09-28 Ljudmila A. Bordag , Ivan P. Yamshchikov , Dmitry Zhelezov

We study an optimization problem for a portfolio with a risk-free, a liquid, and an illiquid risky asset. The illiquid risky asset is sold in an exogenous random moment with a prescribed liquidation time distribution. The investor prefers a…

Portfolio Management · Quantitative Finance 2020-05-11 Ljudmila A. Bordag

This paper addresses the optimal scheduling of the liquidation of a portfolio using a new angle. Instead of focusing only on the scheduling aspect like Almgren and Chriss, or only on the liquidity-consuming orders like Obizhaeva and Wang,…

Trading and Market Microstructure · Quantitative Finance 2013-04-05 Olivier Guéant , Charles-Albert Lehalle , Joaquin Fernandez Tapia

This paper considers consumption and portfolio optimization problems with recursive preferences in both infinite and finite time regions. Specially, the financial market consists of a risk-free asset and a risky asset that follows a general…

Optimization and Control · Mathematics 2024-12-30 Jian-hao Kang , Zhun Gou , Nan-jing Huang

We consider an optimal consumption/investment problem to maximize expected utility from consumption. In this market model, the investor is allowed to choose a portfolio which consists of one bond, one liquid risky asset (no transaction…

Mathematical Finance · Quantitative Finance 2019-01-30 Jin Hyuk Choi

We study the optimal portfolio liquidation problem over a finite horizon in a limit order book with bid-ask spread and temporary market price impact penalizing speedy execution trades. We use a continuous-time modeling framework, but in…

Probability · Mathematics 2014-01-10 Idris Kharroubi , Huyen Pham

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

We study a problem of optimal investment/consumption over an infinite horizon in a market consisting of two possibly correlated assets: one liquid and one illiquid. The liquid asset is observed and can be traded continuously, while the…

Portfolio Management · Quantitative Finance 2015-03-20 Salvatore Federico , Paul Gassiat , Fausto Gozzi

In this work we study a finite horizon optimal liquidation problem with multiplicative price impact in algorithmic trading, using market orders. We analyze the case when an agent is trading on a market with two financial assets, whose…

Optimization and Control · Mathematics 2020-10-07 Riccardo Cesari , Harry Zheng

In this paper, we consider the optimal portfolio liquidation problem under the dynamic mean-variance criterion and derive time-consistent solutions in three important models. We give adapted optimal strategies under a reconsidered…

Trading and Market Microstructure · Quantitative Finance 2015-11-02 Jia-Wen Gu , Mogens Steffensen

This paper presents several models addressing optimal portfolio choice, optimal portfolio liquidation, and optimal portfolio transition issues, in which the expected returns of risky assets are unknown. Our approach is based on a coupling…

Portfolio Management · Quantitative Finance 2019-03-21 Alexis Bismuth , Olivier Guéant , Jiang Pu

We study a problem of optimal investment/consumption over an infinite horizon in a market consisting of a liquid and an illiquid asset. The liquid asset is observed and can be traded continuously, while the illiquid one can only be traded…

Portfolio Management · Quantitative Finance 2012-11-07 Salvatore Federico , Paul Gassiat

This paper investigates a continuous-time portfolio optimization problem with the following features: (i) a no-short selling constraint; (ii) a leverage constraint, that is, an upper limit for the sum of portfolio weights; and (iii) a…

Portfolio Management · Quantitative Finance 2022-03-08 Masashi Ieda

Paper is based on "The cost of illiquidity and its effects on hedging", L. C. G. Rogers and Surbjeet Singh, 2010. We generalize its thesis to constant elasticity model, which own previously used Black-Schoels model as a special case. The…

Mathematical Finance · Quantitative Finance 2014-09-23 Krzysztof Turek

We consider the problem of portfolio optimization in a simple incomplete market and under a general utility function. By working with the associated Hamilton-Jacobi-Bellman partial differential equation (HJB PDE), we obtain a closed-form…

Probability · Mathematics 2018-02-22 Rohini Kumar , Hussein Nasralah

This paper examines a continuous time intertemporal consumption and portfolio choice problem with a stochastic differential utility preference of Epstein-Zin type for a robust investor, who worries about model misspecification and seeks…

Optimization and Control · Mathematics 2021-03-09 Jiangyan Pu , Qi Zhang

Merton portfolio management problem is studied in this paper within a stochastic volatility, non constant time discount rate, and power utility framework. This problem is time inconsistent and the way out of this predicament is to consider…

Portfolio Management · Quantitative Finance 2024-02-09 Oumar Mbodji , Traian A. Pirvu

In this paper, we focus on the problem of optimal portfolio-consumption policies in a multi-asset financial market, where the n risky assets follow Exponential Ornstein-Uhlenbeck processes, along with one risk-free bond. The investor's…

Optimization and Control · Mathematics 2025-09-10 Zhaoxiang Zhong , Haiming Song

We address the problem of strategic asset allocation (SAA) with portfolios that include illiquid alternative asset classes. The main challenge in portfolio construction with illiquid asset classes is that we do not have direct control over…

In this paper we investigate a dynamic stochastic portfolio optimization problem involving both the expected terminal utility and intertemporal utility maximization. We solve the problem by means of a solution to a fully nonlinear…

Portfolio Management · Quantitative Finance 2019-03-26 Sona Kilianova , Daniel Sevcovic
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