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We generalize classical results on the existence of optimal portfolios in discrete time frictionless market models to models with capital gains taxes. We consider the realistic but mathematically challenging rule that losses do not trigger…

数理金融 · 定量金融 2026-02-18 Alexander Dimitrov , Christoph Kühn

It is shown that the axioms for coherent risk measures imply that whenever there is an asset in a portfolio that dominates the others in a given sample (which happens with finite probability even for large samples), then this portfolio…

风险管理 · 定量金融 2009-09-29 Imre Kondor , Istvan Varga-Haszonits

We propose a refinement of the maxmin approach to robustness. A mechanism's payoff guarantee over an ambiguity set is \emph{robust} if the guarantee is approximately satisfied at priors near the ambiguity set (in the weak topology). We show…

理论经济学 · 经济学 2026-05-06 Ian Ball , Deniz Kattwinkel

This paper studies robust forward investment and consumption preferences and optimal strategies for a risk-averse and ambiguity-averse agent in an incomplete financial market with drift and volatility uncertainties. We focus on non-zero…

投资组合管理 · 定量金融 2025-09-17 Wing Fung Chong , Gechun Liang

This paper considers the constrained portfolio optimization in a generalized life-cycle model. The individual with a stochastic income manages a portfolio consisting of stocks, a bond, and life insurance to maximize his or her consumption…

投资组合管理 · 定量金融 2024-10-29 Wenyuan Li , Pengyu Wei

We consider a portfolio optimisation problem for a utility-maximising investor who faces convex constraints on his portfolio allocation in Heston's stochastic volatility model. We apply the duality methods developed in previous work to…

投资组合管理 · 定量金融 2023-11-08 Marcos Escobar-Anel , Michel Kschonnek , Rudi Zagst

In this paper, we study the portfolio optimization problem with general utility functions and when the return and volatility of underlying asset are slowly varying. An asymptotic optimal strategy is provided within a specific class of…

数理金融 · 定量金融 2016-11-08 Jean-Pierre Fouque , Ruimeng Hu

We design an optimal strategy for investment in a portfolio of assets subject to a multiplicative Brownian motion. The strategy provides the maximal typical long-term growth rate of investor's capital. We determine the optimal fraction of…

统计力学 · 物理学 2008-12-02 Sergei Maslov , Yi-Cheng Zhang

This paper investigates dynamic and static fund separations and their stability for long-term optimal investments under three model classes. An investor maximizes the expected utility with constant relative risk aversion under an incomplete…

投资组合管理 · 定量金融 2023-03-14 Hyungbin Park , Heejun Yeo

Optimal execution of portfolio transactions is the essential part of algorithmic trading. In this paper we present in simple analytical form the optimal trajectory for risk-averse trader with the assumption of exponential market recovery…

交易与市场微观结构 · 定量金融 2013-09-27 Igor Skachkov

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

The optimization of large portfolios displays an inherent instability to estimation error. This poses a fundamental problem, because solutions that are not stable under sample fluctuations may look optimal for a given sample, but are, in…

投资组合管理 · 定量金融 2015-05-14 Susanne Still , Imre Kondor

The choice of admissible trading strategies in mathematical modelling of financial markets is a delicate issue, going back to Harrison and Kreps (1979). In the context of optimal portfolio selection with expected utility preferences this…

计算金融 · 定量金融 2017-07-25 Sara Biagini , Aleš Černý

Decision maker's preferences are often captured by some choice functions which are used to rank prospects. In this paper, we consider ambiguity in choice functions over a multi-attribute prospect space. Our main result is a robust…

风险管理 · 定量金融 2018-05-21 William B. Haskell , Wenjie Huang , Huifu Xu

We empirically test predictability on asset price by using stock selection rules based on maximum drawdown and its consecutive recovery. In various equity markets, monthly momentum- and weekly contrarian-style portfolios constructed from…

综合金融 · 定量金融 2024-05-24 Jaehyung Choi

During the last few years, there has been an interest in comparing simple or heuristic procedures for portfolio selection, such as the naive, equal weights, portfolio choice, against more "sophisticated" portfolio choices, and in explaining…

投资组合管理 · 定量金融 2022-06-07 Henryk Gzyl , Alfredo Rios

We address the problem of portfolio optimization under the simplest coherent risk measure, i.e. the expected shortfall. As it is well known, one can map this problem into a linear programming setting. For some values of the external…

物理与社会 · 物理学 2008-12-02 Stefano Ciliberti , Imre Kondor , Marc Mezard

We consider the optimization of active extension portfolios. For this purpose, the optimization problem is rewritten as a stochastic programming model and solved using a clever multi-start local search heuristic, which turns out to provide…

投资组合管理 · 定量金融 2014-07-01 Ronald Hochreiter , Christoph Waldhauser

We explore the implications of a preference ordering for an investor-consumer with a strong preference for keeping consumption above an exogenous social norm, but who is willing to tolerate occasional dips below it. We do this by splicing…

This paper studies the portfolio optimization problem when the investor's utility is general and the return and volatility of the risky asset are fast mean-reverting, which are important to capture the fast-time scale in the modeling of…

数理金融 · 定量金融 2019-01-31 Ruimeng Hu