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We derive a closed form portfolio optimization rule for an investor who is diffident about mean return and volatility estimates, and has a CRRA utility. The novelty is that confidence is here represented using ellipsoidal uncertainty sets…

Portfolio Management · Quantitative Finance 2015-02-11 Sara Biagini , Mustafa Pinar

This paper studies dynamic asset allocation with interest rate risk and several sources of ambiguity. The market consists of a risk-free asset, a zero-coupon bond (both determined by a Vasicek model), and a stock. There is ambiguity about…

Portfolio Management · Quantitative Finance 2023-10-30 Julian Hölzermann

In the presence of ambiguity on the driving force of market randomness, we consider the dynamic portfolio choice without any predetermined investment horizon. The investment criteria is formulated as a robust forward performance process,…

Mathematical Finance · Quantitative Finance 2019-04-23 Qian Lin , Xianming Sun , Chao Zhou

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…

Portfolio Management · Quantitative Finance 2021-11-04 Jörn Sass , Dorothee Westphal

This paper studies the continuous-time pre-commitment KMM problem proposed by Klibanoff, Marinacci and Mukerji (2005) in incomplete financial markets, which concerns with the portfolio selection under smooth ambiguity. The decision maker…

Mathematical Finance · Quantitative Finance 2023-02-17 Guohui Guan , Zongxia Liang , Yilun Song

This paper studies the problem of optimal investment with CRRA (constant, relative risk aversion) preferences, subject to dynamic risk constraints on trading strategies. The market model considered is continuous in time and incomplete. the…

Portfolio Management · Quantitative Finance 2012-03-19 Santiago Moreno-Bromberg , Traian Pirvu , Anthony Réveillac

We study a discrete-time portfolio selection problem with partial information and maxi\-mum drawdown constraint. Drift uncertainty in the multidimensional framework is modeled by a prior probability distribution. In this Bayesian framework,…

Portfolio Management · Quantitative Finance 2020-11-02 Carmine De Franco , Johann Nicolle , Huyên Pham

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…

Portfolio Management · Quantitative Finance 2024-07-04 Len Patrick Dominic M. Garces , Yang Shen

Motivated by recent axiomatic developments, we study the risk- and ambiguity-averse investment problem where trading takes place over a fixed finite horizon and terminal payoffs are evaluated according to a criterion defined in terms of a…

Portfolio Management · Quantitative Finance 2013-12-02 Sigrid Källblad

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…

Portfolio Management · Quantitative Finance 2025-09-17 Wing Fung Chong , Gechun Liang

We introduce a price impact model which accounts for finite market depth, tightness and resilience. Its coupled bid- and ask-price dynamics induce convex liquidity costs. We provide existence of an optimal solution to the classical problem…

Mathematical Finance · Quantitative Finance 2018-04-23 Peter Bank , Moritz Voß

This paper studies the robust portfolio selection problem under a state-dependent confidence set. The investor invests in a financial market with a risk-free asset and a risky asset. The ambiguity-averse investor faces uncertainty over the…

Optimization and Control · Mathematics 2024-10-01 Guohui Guan , Yuting Jia , Zongxia Liang

This paper focuses on a dynamic multi-asset mean-variance portfolio selection problem under model uncertainty. We develop a continuous time framework for taking into account ambiguity aversion about both expected return rates and…

Portfolio Management · Quantitative Finance 2021-12-02 Huyen Pham , Xiaoli Wei , Chao Zhou

Aiming to analyze the impact of environmental transition on the value of assets and on asset stranding, we study optimal stopping and divestment timing decisions for an economic agent whose future revenues depend on the realization of a…

Mathematical Finance · Quantitative Finance 2025-10-27 Andrea Mazzon , Peter Tankov

CRRA utility where the risk aversion coefficient is a constant is commonly seen in various economics models. But wealth-driven risk aversion rarely shows up in investor's investment problems. This paper mainly focus on numerical solutions…

Machine Learning · Statistics 2022-10-04 Ruoxin Xiao

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…

Portfolio Management · Quantitative Finance 2021-11-04 Jörn Sass , Dorothee Westphal

We combine forward investment performance processes and ambiguity averse portfolio selection. We introduce the notion of robust forward criteria which addresses the issues of ambiguity in model specification and in preferences and…

Portfolio Management · Quantitative Finance 2014-11-17 Sigrid Kallblad , Jan Obloj , Thaleia Zariphopoulou

We revisit the classical Merton consumption--investment problem when risky-asset returns are modeled by stochastic differential equations interpreted through a general $\alpha$-integral, interpolating between It\^{o}, Stratonovich, and…

Mathematical Finance · Quantitative Finance 2026-02-10 Mario Ayala , Benjamin Vallejo Jiménez

This paper studies a robust portfolio optimization problem under the multi-factor volatility model introduced by Christoffersen et al. (2009). The optimal strategy is derived analytically under the worst-case scenario with or without…

Mathematical Finance · Quantitative Finance 2020-06-16 Ben-Zhang Yang , Xiaoping Lu , Guiyuan Ma , Song-Ping Zhu

I introduce novel preference formulations which capture aversion to ambiguity about unknown and potentially time-varying volatility. I compare these preferences with Gilboa and Schmeidler's maxmin expected utility as well as variational…

Theoretical Economics · Economics 2021-09-21 Peter G. Hansen
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