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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…

投资组合管理 · 定量金融 2023-10-30 Julian Hölzermann

This paper investigates the equilibrium portfolio selection for smooth ambiguity preferences in a continuous-time market. The investor is uncertain about the risky asset's drift term and updates the subjective belief according to the…

最优化与控制 · 数学 2023-02-17 Guohui Guan , Zongxia Liang , Jianming Xia

This paper formulates a model of utility for a continuous time framework that captures the decision-maker's concern with ambiguity about both volatility and drift. Corresponding extensions of some basic results in asset pricing theory are…

证券定价 · 定量金融 2013-01-22 Larry G. Epstein , Shaolin Ji

Gilboa and Schmeidler's (1989) uncertainty aversion plays a central role in decision theory and economics, yet many inconsistent behaviors have been observed in experiments. Motivated by this, we study an axiom postulating a minimal degree…

理论经济学 · 经济学 2025-08-22 Kensei Nakamura , Shohei Yanagita

We consider the classical multi-asset Merton investment problem under drift uncertainty, i.e. the asset price dynamics are given by geometric Brownian motions with constant but unknown drift coefficients. The investor assumes a prior drift…

投资组合管理 · 定量金融 2024-02-22 Nicole Bäuerle , Antje Mahayni

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…

投资组合管理 · 定量金融 2015-02-11 Sara Biagini , Mustafa Pinar

An unconventional approach for optimal stopping under model ambiguity is introduced. Besides ambiguity itself, we take into account how ambiguity-averse an agent is. This inclusion of ambiguity attitude, via an $\alpha$-maxmin nonlinear…

数理金融 · 定量金融 2021-07-15 Yu-Jui Huang , Xiang Yu

We consider portfolio selection under nonparametric $\alpha$-maxmin ambiguity in the neighbourhood of a reference distribution. We show strict concavity of the portfolio problem under ambiguity aversion. Implied demand functions are…

综合经济学 · 经济学 2022-06-22 Michail Anthropelos , Paul Schneider

This paper considers dynamic moral hazard settings, in which the consequences of the agent's actions are not precisely understood. In a new continuous-time moral hazard model with drift ambiguity, the agent's unobservable action translates…

综合经济学 · 经济学 2021-10-29 Martin Dumav

We represent preferences that exhibit absolute or relative attitudes towards ambiguity without assuming convexity of preferences. Our analysis is motivated by the recent experimental evidence by Baillon and Placido (2019) indicating that…

理论经济学 · 经济学 2024-07-02 Francesco Fabbri , Giulio Principi , Lorenzo Stanca

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…

投资组合管理 · 定量金融 2013-12-02 Sigrid Källblad

We explore the deliberate infusion of ambiguity into the design of contracts. We show that when the agent is ambiguity-averse and hence chooses an action that maximizes their minimum utility, the principal can strictly gain from using an…

计算机科学与博弈论 · 计算机科学 2024-09-17 Paul Dütting , Michal Feldman , Daniel Peretz , Larry Samuelson

This paper formulates a model of utility for a continuous time framework that captures the decision-maker's concern with ambiguity about both the drift and volatility of the driving process. At a technical level, the analysis requires a…

综合金融 · 定量金融 2013-01-22 Larry Epstein , Shaolin Ji

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,…

数理金融 · 定量金融 2019-04-23 Qian Lin , Xianming Sun , Chao Zhou

We study an optimal liquidation problem under the ambiguity with respect to price impact parameters. Our main results show that the value function and the optimal trading strategy can be characterized by the solution to a semi-linear PDE…

数理金融 · 定量金融 2019-09-04 Ulrich Horst , Xiaonyu Xia , Chao Zhou

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…

投资组合管理 · 定量金融 2021-12-02 Huyen Pham , Xiaoli Wei , Chao Zhou

We introduce a model-free preference under ambiguity, as a primitive trait of behavior, which we apply once as well as repeatedly. Its single and double application yield simple, easily interpretable definitions of ambiguity aversion and…

风险管理 · 定量金融 2025-01-24 Mücahit Aygün , Roger J. A. Laeven , Mitja Stadje

Preferences for mixing can reveal ambiguity perception and attitude on a single event. The validity of the approach is discussed for multiple preference classes including maxmin, maxmax, variational, and smooth second-order preferences. An…

计量经济学 · 经济学 2024-08-16 Patrick Schmidt

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…

数理金融 · 定量金融 2020-06-16 Ben-Zhang Yang , Xiaoping Lu , Guiyuan Ma , Song-Ping Zhu

Diversification represents the idea of choosing variety over uniformity. Within the theory of choice, desirability of diversification is axiomatized as preference for a convex combination of choices that are equivalently ranked. This…

经济学 · 定量金融 2016-10-07 Enrico G. De Giorgi , Ola Mahmoud
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