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We study a non-concave optimization problem in which a financial company maximizes the expected utility of the surplus under a risk-based regulatory constraint. For this problem, we consider four different prevalent risk constraints…

Optimization and Control · Mathematics 2022-06-22 An Chen , Mitja Stadje , Fangyuan Zhang

We develop a unified model in which AI adoption in financial markets generates systemic risk through three mutually reinforcing channels: performative prediction, algorithmic herding, and cognitive dependency. Within an extended rational…

Computational Finance · Quantitative Finance 2026-04-07 Shuchen Meng , Xupeng Chen

This paper analyses how risk-taking behaviour and preferences over consumption rank can emerge as a neutrally stable equilibrium when individuals face an anti-coordination task. If in an otherwise homogeneous society information about…

Theoretical Economics · Economics 2023-03-07 Manuel Staab

In this paper, we study the finite-horizon problem of an economic agent's optimal consumption, investment, and job-switching decisions. The key new feature of our model is that the job-switching cost is time-varying. This extension leads to…

Optimization and Control · Mathematics 2026-03-10 Gugyum Ha , Junkee Jeon , Jihoon Ok

We study the consumption behaviour of an asymmetric network of heterogeneous agents in the framework of discrete choice models with stochastic decision rules. We assume that the interactions among agents are uniquely specified by their…

Disordered Systems and Neural Networks · Physics 2007-05-23 Giulia Iori , Vassilis Koulovassilopoulos

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…

Portfolio Management · Quantitative Finance 2024-10-29 Wenyuan Li , Pengyu Wei

We study an optimal control problem encompassing investment, consumption, and retirement decisions under exponential (CARA-type) utility. The financial market comprises a bond with constant drift and a stock following geometric Brownian…

Optimization and Control · Mathematics 2024-12-05 Tae Ung Gang , Yong Hyun Shin

This paper studies a composite problem involving the decision making of the optimal entry time and dynamic consumption afterwards. In stage-1, the investor has access to full market information subjecting to some information costs and needs…

Optimization and Control · Mathematics 2021-07-05 Yue Yang , Xiang Yu

The risk of financial positions is measured by the minimum amount of capital to raise and invest in eligible portfolios of traded assets in order to meet a prescribed acceptability constraint. We investigate nondegeneracy, finiteness and…

Risk Management · Quantitative Finance 2014-03-05 Walter Farkas , Pablo Koch-Medina , Cosimo Munari

This paper is concerned with learning decision makers' preferences using data on observed choices from a finite set of risky alternatives. We propose a discrete choice model with unobserved heterogeneity in consideration sets and in…

Econometrics · Economics 2021-01-07 Levon Barseghyan , Francesca Molinari , Matthew Thirkettle

Even in the face of deteriorating and highly volatile demand, firms often invest in, rather than discard, aging technologies. In order to study this phenomenon, we model the firm's profit stream as a Brownian motion with negative drift. At…

Optimization and Control · Mathematics 2019-01-08 H. Dharma Kwon

The impact of rising consumption on wealth inequality remains an open question. Here we revisit and extend the Social Architecture of Capitalism agent-based model proposed by Ian Wright, which reproduces stylized facts of wealth and income…

Physics and Society · Physics 2026-05-22 Jhordan Silveira de Borba , Celia Anteneodo , Sebastian Gonçalves

Major events like natural catastrophes or the COVID-19 crisis have impact both on the financial market and on claim arrival intensities and claim sizes of insurers. Thus, when optimal investment and reinsurance strategies have to be…

Portfolio Management · Quantitative Finance 2025-10-16 Nicole Bäuerle , Gregor Leimcke

What grounds the rule of thumb that a(n American) retiree can safely withdraw 4% of their initial retirement wealth in their first year of retirement, then increase that rate of consumption with inflation? I address that question with a…

Applications · Statistics 2025-12-09 Drew M. Thomas

This thesis mainly focuses on two problems in capital structure and individual's life-cycle portfolio choice. In the first problem, we derive a stochastic control model to optimize banks' dividend and recapitalization policies and calibrate…

Mathematical Finance · Quantitative Finance 2021-07-07 Shan Huang

This paper studies the properties of the optimal portfolio-consumption strategies in a {finite horizon} robust utility maximization framework with different borrowing and lending rates. In particular, we allow for constraints on both…

Portfolio Management · Quantitative Finance 2018-12-06 Zhou Yang , Gechun Liang , Chao Zhou

This paper investigates optimal consumption in the stochastic Ramsey problem with the Cobb-Douglas production function. Contrary to prior studies, we allow for general consumption processes, without any a priori boundedness constraint. A…

Optimization and Control · Mathematics 2021-07-15 Yu-Jui Huang , Saeed Khalili

This paper develops a model of reference-dependent assessment of subjective beliefs in which loss-averse people optimally choose the expectation as the reference point to balance the current felicity from the optimistic anticipation and the…

General Finance · Quantitative Finance 2013-10-14 Si Chen

This paper concerns the recursive utility maximization problem. We assume that the coefficients of the wealth equation and the recursive utility are concave. Then some interesting and important cases with nonlinear and nonsmooth…

Mathematical Finance · Quantitative Finance 2016-07-05 Shaolin Ji , Xiaomin Shi

We study an infinite-horizon optimal investment, consumption and insurance problem for an economic agent who consumes a perishable and a durable good. The agent trades in a risk-free asset, a risky asset, and a durable good whose price…

General Economics · Economics 2025-12-09 Aleksandar Arandjelović , Ryle S. Perera , Pavel V. Shevchenko , Tak Kuen Siu , Jin Sun
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