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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 consider the terminal wealth utility maximization problem from the point of view of a portfolio manager who is paid by an incentive scheme, which is given as a convex function $g$ of the terminal wealth. The manager's own utility…

投资组合管理 · 定量金融 2015-02-24 Maxim Bichuch , Stephan Sturm

We consider a problem of optimal investment with intermediate consumption in the framework of an incomplete semimartingale model of a financial market. We show that a necessary and sufficient condition for the validity of key assertions of…

投资组合管理 · 定量金融 2012-07-17 Oleksii Mostovyi

This paper examines the optimal annuitization, investment and consumption strategies of a utility-maximizing retiree facing a stochastic time of death under a variety of institutional restrictions. We focus on the impact of aging on the…

投资组合管理 · 定量金融 2015-06-22 Moshe A. Milevsky , Virginia R. Young

We analyze the potential of reinsurance for reversing the current trend of decreasing capital guarantees in life insurance products. Providing an insurer with an opportunity to shift part of the financial risk to a reinsurer, we solve the…

数理金融 · 定量金融 2025-05-21 Marcos Escobar-Anel , Yevhen Havrylenko , Michel Kschonnek , Rudi Zagst

Motivated by the AIG bailout case in the financial crisis of 2007-2008, we consider an insurer who wants to maximize the expected utility of the terminal wealth by selecting optimal investment and risk control strategies. The insurer's risk…

风险管理 · 定量金融 2014-03-10 Bin Zou , Abel Cadenillas

We deal with the optimal execution problem when the broker's goal is to reach a performance barrier avoiding a downside barrier. The performance is provided by the wealth accumulated by trading in the market, the shares detained by the…

数理金融 · 定量金融 2026-04-27 Emilio Barucci , Yuheng Lan

This paper solves the consumption-investment problem under Epstein-Zin preferences on a random horizon. In an incomplete market, we take the random horizon to be a stopping time adapted to the market filtration, generated by all observable,…

数理金融 · 定量金融 2024-01-09 Joshua Aurand , Yu-Jui Huang

We study an infinite-horizon optimal investment, consumption and insurance problem for an economic agent who consumes a perishable and a durable good. The agent trades in a risk-free asset, a risky asset, and a durable good whose price…

综合经济学 · 经济学 2025-12-09 Aleksandar Arandjelović , Ryle S. Perera , Pavel V. Shevchenko , Tak Kuen Siu , Jin Sun

This paper discusses the sensitivity of the long-term expected utility of optimal portfolios for an investor with constant relative risk aversion. Under an incomplete market given by a factor model, we consider the utility maximization…

数理金融 · 定量金融 2019-06-11 Hyungbin Park , Stephan Sturm

In this paper, we study the problem of expected utility maximization of an agent who, in addition to an initial capital, receives random endowments at maturity. Contrary to previous studies, we treat as the variables of the optimization…

概率论 · 数学 2008-12-10 Julien Hugonnier , Dmitry Kramkov

This paper studies a type of consumption preference where some adjustment costs are incured whenever the past spending maximum and the past spending minimum records are updated. This preference can capture the adverse effects of the…

最优化与控制 · 数学 2025-03-25 Yijie Huang , Kaixin Yan , Qinyi Zhang

We investigate the general structure of optimal investment and consumption with small proportional transaction costs. For a safe asset and a risky asset with general continuous dynamics, traded with random and time-varying but small…

投资组合管理 · 定量金融 2015-05-18 Jan Kallsen , Johannes Muhle-Karbe

In the large financial market, which is described by a model with countably many traded assets, we formulate the problem of the expected utility maximization. Assuming that the preferences of an economic agent are modeled with a stochastic…

投资组合管理 · 定量金融 2014-10-21 Oleksii Mostovyi

We study a continuous-time expected utility maximization problem in which the investor at maturity receives the value of a contingent claim in addition to the investment payoff from the financial market. The investor knows nothing about the…

数理金融 · 定量金融 2023-07-17 Yunhong Li , Zuo Quan Xu , Xun Yu Zhou

We give explicit solutions for utility maximization of terminal wealth problem $u(X_T)$ in the presence of Knightian uncertainty in continuous time $[0,T]$ in a complete market. We assume there is uncertainty on both drift and volatility of…

数理金融 · 定量金融 2019-09-13 Kerem Ugurlu

We introduce a highly stylized, yet non trivial model of the economy, with a public and private sector coupled through a wealth tax and a redistribution policy. The model can be fully solved analytically, and allows one to address the…

经济学 · 定量金融 2015-12-09 Jean-Philippe Bouchaud

We consider a Bayesian financial market with one bond and one stock where the aim is to maximize the expected power utility from terminal wealth. The solution of this problem is known, however there are some conjectures in the literature…

投资组合管理 · 定量金融 2017-08-02 Nicole Bäuerle , Stefanie Grether

In portfolio optimization problems, the minimum expected investment risk is not always smaller than the expected minimal investment risk. That is, using a well-known approach from operations research, it is possible to derive a strategy…

投资组合管理 · 定量金融 2016-12-15 Takashi Shinzato

We consider the strategic interaction of traders in a continuous-time financial market with Epstein-Zin-type recursive intertemporal preferences and performance concerns. We derive explicitly an equilibrium for the finite player and the…

最优化与控制 · 数学 2024-03-21 Jodi Dianetti , Frank Riedel , Lorenzo Stanca