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Consider an investor trading dynamically to maximize expected utility from terminal wealth. Our aim is to study the dependence between her risk aversion and the distribution of the optimal terminal payoff. Economic intuition suggests that…

综合金融 · 定量金融 2011-09-15 Mathias Beiglboeck , Johannes Muhle-Karbe , Johannes Temme

This survey reviews recent developments in revealed preference theory. It discusses the testable implications of theories of choice that are germane to specific economic environments. The focus is on expected utility in risky environments;…

理论经济学 · 经济学 2019-12-04 Federico Echenique

We study a continuous-time portfolio choice problem for an investor whose state-dependent preferences are determined by an exogenous factor that evolves as an It\^o diffusion process. Since risk attitudes at the end of the investment…

数理金融 · 定量金融 2025-12-25 Luca De Gennaro Aquino , Sascha Desmettre , Yevhen Havrylenko , Mogens Steffensen

This paper considers the optimal portfolio selection problem in a dynamic multi-period stochastic framework with regime switching. The risk preferences are of exponential (CARA) type with an absolute coefficient of risk aversion which…

最优化与控制 · 数学 2011-02-25 Traian A Pirvu , Huayue Zhang

This paper studies robust forward investment and consumption preferences within a zero-volatility context. Different from previous works, we consider an incomplete financial market model due to general investment portfolio constraints. We…

数理金融 · 定量金融 2023-11-20 Wing Fung Chong , Gechun Liang

We expose a theoretical hedging optimization framework with variational preferences under convex risk measures. We explore a general dual representation for the composition between risk measures and utilities. We study the properties of the…

数理金融 · 定量金融 2024-10-11 Marcelo Righi

We consider statistical Markov Decision Processes where the decision maker is risk averse against model ambiguity. The latter is given by an unknown parameter which influences the transition law and the cost functions. Risk aversion is…

最优化与控制 · 数学 2021-07-21 Nicole Bäuerle , Ulrich Rieder

Completeness and transitivity are standard rationality conditions in economics. However, under ambiguity, decision makers sometimes violate these requirements because of the difficulty of forming accurate predictions about ambiguous events.…

理论经济学 · 经济学 2025-09-16 Kensei Nakamura , Shohei Yanagita

This paper addresses the continuous-time portfolio selection problem under generalized disappointment aversion (GDA). The implicit definition of the certainty equivalent within GDA preferences introduces time inconsistency to this problem.…

数理金融 · 定量金融 2024-03-05 Zongxia Liang , Sheng Wang , Jianming Xia , Fengyi Yuan

Monotonicity and recursivity are central assumptions in intertemporal consumption problems under ambiguity. We show that monotone recursive preferences admit both a recursive and an ex-ante representation, and that the certainty equivalent…

理论经济学 · 经济学 2026-01-23 Massimo Marinacci , Giulio Principi , Lorenzo Stanca

The comparative statics of the optimal portfolios across individuals is carried out for a continuous-time complete market model, where the risky assets price process follows a joint geometric Brownian motion with time-dependent and…

投资组合管理 · 定量金融 2012-01-04 Jianming Xia

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…

数理金融 · 定量金融 2023-02-17 Guohui Guan , Zongxia Liang , Yilun Song

In this paper two portfolio choice models are studied: a purely possibilistic model, in which the return of a risky asset is a fuzzy number, and a mixed model in which a probabilistic background risk is added. For the two models an…

投资组合管理 · 定量金融 2018-05-31 Irina Georgescu

We consider the economic problem of optimal consumption and investment with power utility. We study the optimal strategy as the relative risk aversion tends to infinity or to one. The convergence of the optimal consumption is obtained for…

投资组合管理 · 定量金融 2012-08-13 Marcel Nutz

Ambiguity-averse decision makers typically dislike not only the presence of ambiguous events but also their increase, contrary to what standard ambiguity models predict. We axiomatically study such a decision maker. She avoids ex ante…

理论经济学 · 经济学 2026-05-25 Yutaro Akita , Kensei Nakamura

An investor's risk aversion is assumed to tend to infinity. In a fairly general setting, we present conditions ensuring that the respective utility indifference prices of a given contingent claim converge to its super replication price.

概率论 · 数学 2009-04-10 Laurence Carassus , Miklos Rasonyi

We consider the problem of an agent who faces losses in continuous time over a finite time horizon and may choose to share some of these losses with a counterparty. The agent is uncertain about the true loss distribution and has multiple…

风险管理 · 定量金融 2026-01-13 Emma Kroell , Sebastian Jaimungal , Silvana M. Pesenti

In this paper, we combine modern portfolio theory and option pricing theory so that a trader who takes a position in a European option contract and the underlying assets can construct an optimal portfolio such that at the moment of the…

数理金融 · 定量金融 2020-01-06 Abootaleb Shirvani , Frank J. Fabozzi , Stoyan V. Stoyanov

We study the pricing and hedging of derivative securities with uncertainty about the volatility of the underlying asset. Rather than taking all models from a prespecified class equally seriously, we penalise less plausible ones based on…

数理金融 · 定量金融 2016-05-23 Sebastian Herrmann , Johannes Muhle-Karbe , Frank Thomas Seifried

In this article we consider a special case of an optimal consumption/optimal portfolio problem first studied by Constantinides and Magill and by Davis and Norman, in which an agent with constant relative risk aversion seeks to maximise…

数理金融 · 定量金融 2014-09-12 David Hobson , Yeqi Zhu