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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 solve an expected utility-maximization problem with a Value-at-risk constraint on the terminal portfolio value in an incomplete financial market due to stochastic volatility. To derive the optimal investment strategy, we use the dynamic…

投资组合管理 · 定量金融 2025-05-21 Marcos Escobar-Anel , Yevhen Havrylenko , Rudi Zagst

Most work in mechanism design assumes that buyers are risk neutral; some considers risk aversion arising due to a non-linear utility for money. Yet behavioral studies have established that real agents exhibit risk attitudes which cannot be…

计算机科学与博弈论 · 计算机科学 2018-03-13 Shuchi Chawla , Kira Goldner , J. Benjamin Miller , Emmanouil Pountourakis

This paper studies an optimal investing problem for a retiree facing longevity risk and living standard risk. We formulate the investing problem as a portfolio choice problem under a time-varying risk capacity constraint. We derive the…

投资组合管理 · 定量金融 2022-02-16 Weidong Tian , Zimu Zhu

This paper studies the robust optimal gain selection problem for financial trading systems, formulated within a \emph{double linear policy} framework, which allocates capital across long and short positions. The key objective is to…

系统与控制 · 电气工程与系统科学 2025-01-20 Chung-Han Hsieh

We study and solve the worst-case optimal portfolio problem as pioneered by Korn and Wilmott (2002) of an investor with logarithmic preferences facing the possibility of a market crash with stochastic market coefficients by enhancing the…

数理金融 · 定量金融 2024-12-17 Sascha Desmettre , Sebastian Merkel , Annalena Mickel , Alexander Steinicke

We study a robust portfolio optimization problem under model uncertainty for an investor with logarithmic or power utility. The uncertainty is specified by a set of possible L\'evy triplets; that is, possible instantaneous drift, volatility…

数理金融 · 定量金融 2016-03-23 Ariel Neufeld , Marcel Nutz

We revisit the problem of portfolio selection, where an investor maximizes utility subject to a risk constraint. Our framework is very general and accommodates a wide range of utility and risk functionals, including non-concave utilities…

数理金融 · 定量金融 2025-09-15 Leonardo Baggiani , Martin Herdegen , Nazem Khan

We consider a reference security, understood to be an attractive investment, with the caveat that an investor is not willing to directly invest in the security, for presence of constraints, either investor specific or pertaining to the…

投资组合管理 · 定量金融 2022-11-03 Sidharth Mallik

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

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…

数理金融 · 定量金融 2026-02-10 Mario Ayala , Benjamin Vallejo Jiménez

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…

数理金融 · 定量金融 2018-04-23 Peter Bank , Moritz Voß

This study develops an inverse portfolio optimization framework for recovering latent investor preferences including risk aversion, transaction cost sensitivity, and ESG orientation from observed portfolio allocations. Using controlled…

综合金融 · 定量金融 2025-10-14 Jinho Cha , Long Pham , Thi Le Hoa Vo , Jaeyoung Cho , Jaejin Lee

A problem of optimally purchasing electricity at a real-valued spot price (that is, with potentially negative cost) has been recently addressed in De Angelis, Ferrari and Moriarty (2015) [SIAM J. Control Optim. 53(3)]. This problem can be…

最优化与控制 · 数学 2016-02-10 Tiziano De Angelis , Giorgio Ferrari , Randall Martyr , John Moriarty

An investor with constant relative risk aversion trades a safe and several risky assets with constant investment opportunities. For a small fixed transaction cost, levied on each trade regardless of its size, we explicitly determine the…

投资组合管理 · 定量金融 2013-10-23 Albert Altarovici , Johannes Muhle-Karbe , H. Mete Soner

Flexibility options, such as demand response, energy storage and interconnection, have the potential to reduce variation in electricity prices between different future scenarios, therefore reducing investment risk. Moreover, investment in…

综合经济学 · 经济学 2021-10-11 Thomas Möbius , Iegor Riepin , Felix Müsgens , Adriaan H. van der Weijde

I characterize optimal government policy in a sticky-price economy with different types of consumers and endogenous financial constraints in the banking and entrepreneurial sectors. The competitive equilibrium allocation is constrained…

综合经济学 · 经济学 2025-01-29 Aliaksandr Zaretski

In this paper, we investigate the robust optimal reinsurance,investment,and internal surplus distribution (i.e., consumption) problem for an insurer with Epstein-Zin recursive preferences in an incomplete market. It is assumed that the…

最优化与控制 · 数学 2026-05-19 Junyi Guo , Jianxuan Li , Qianqian Zhou

This paper investigates an infinite horizon, discounted, consumption-portfolio problem in a market with one bond, one liquid risky asset, and one illiquid risky asset with proportional transaction costs. We consider an agent with liquidity…

投资组合管理 · 定量金融 2025-03-05 Guohui Guan , Jiaqi Hu , Zongxia Liang

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