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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

The classical optimal investment and consumption problem with infinite horizon is studied in the presence of transaction costs. Both proportional and fixed costs as well as general utility functions are considered. Weak dynamic programming…

投资组合管理 · 定量金融 2016-10-14 Albert Altarovici , Max Reppen , H. Mete Soner

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 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 investigate a utility maximization problem with drift uncertainty in a multivariate continuous-time Black-Scholes type financial market which may be incomplete. We impose a constraint on the admissible strategies that…

投资组合管理 · 定量金融 2021-11-04 Jörn Sass , Dorothee Westphal

We study a utility maximization problem in a financial market with a stochastic drift process, combining a worst-case approach with filtering techniques. Drift processes are difficult to estimate from asset prices, and at the same time…

投资组合管理 · 定量金融 2021-11-04 Jörn Sass , Dorothee Westphal

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…

数理金融 · 定量金融 2019-01-30 Jin Hyuk Choi

We study a robust maximization problem from terminal wealth and consumption under a convex constraints on the portfolio. We state the existence and the uniqueness of the consumption-investment strategy by studying the associated quadratic…

概率论 · 数学 2014-09-23 Anis Matoussi , Hanen Mezghani , Mohamed Mnif

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 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

This paper considers the portfolio management problem of optimal investment, consumption and life insurance. We are concerned with time inconsistency of optimal strategies. Natural assumptions, like different discount rates for consumption…

最优化与控制 · 数学 2011-07-25 Ivar Ekeland , Oumar Mbodji , Traian A. Pirvu

We consider a discrete-time financial market model with finite time horizon and give conditions which guarantee the existence of an optimal strategy for the problem of maximizing expected terminal utility. Equivalent martingale measures are…

概率论 · 数学 2008-12-10 Miklos Rasonyi , Lukasz Stettner

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 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

The paper investigates the consumption-investment problem for an investor with Epstein-Zin utility in an incomplete market. Closed, not necessarily convex, constraints are imposed on strategies. The optimal consumption and investment…

数理金融 · 定量金融 2023-05-25 Zixin Feng , Dejian Tian

This paper studies an optimal investing problem for a retiree facing longevity risk and living standard risk. We formulate the investing problem as a portfolio choice problem under a time-varying risk capacity constraint. We derive the…

投资组合管理 · 定量金融 2022-02-16 Weidong Tian , Zimu Zhu

We consider optimal consumption and portfolio choice in the presence of Knightian uncertainty in continuous-time. We embed the problem into the new framework of stochastic calculus for such settings, dealing in particular with the issue of…

投资组合管理 · 定量金融 2014-01-09 Qian Lin , Frank Riedel

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 aim of this paper is to solve an optimal investment, consumption and life insurance problem when the investor is restricted to capital guarantee. We consider an incomplete market described by a jump-diffusion model with stochastic…

投资组合管理 · 定量金融 2018-08-15 Rodwell Kufakunesu , Calisto Guambe

The paper studies problem of continuous time optimal portfolio selection for a incom- plete market diffusion model. It is shown that, under some mild conditions, near optimal strategies for investors with different performance criteria can…

投资组合管理 · 定量金融 2014-04-15 Nikolai Dokuchaev
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