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This paper studies a one-sector optimal growth model with i.i.d. productivity shocks that are allowed to be unbounded. The utility function is assumed to be non-negative and unbounded from above. The novel feature in our framework is that…

Economics · Quantitative Finance 2021-07-21 Nicole Bäuerle , Anna Jaśkiewicz

In problems involving the allocation of a single non-disposable commodity, we study rules defined on a general domain of preferences requiring only that each preference exhibit a unique global maximum. Our focus is on rules that satisfy a…

Theoretical Economics · Economics 2025-12-18 R. Pablo Arribillaga , Agustin G. Bonifacio

This paper focuses on the developing of high-dimensional risk models to construct portfolios of securities in the US stock exchange. Investors seek to gain the highest profits and lowest risk in capital markets. We have developed various…

Portfolio Management · Quantitative Finance 2024-07-23 Maysam Khodayari Gharanchaei , Prabhu Prasad Panda , Xilin Chen

This paper formulates an utility indifference pricing model for investors trading in a discrete time financial market under non-dominated model uncertainty. The investors preferences are described by strictly increasing concave random…

Mathematical Finance · Quantitative Finance 2020-10-05 Romain Blanchard , Laurence Carassus

A collectivised fund is a proposed form of pension investment, in which all investors agree that any funds associated with deceased members should be split among survivors. For this to be a viable financial product, it is necessary to know…

Portfolio Management · Quantitative Finance 2020-04-06 John Armstrong , Cristin Buescu

This article aims to combine factor investing and reinforcement learning (RL). The agent learns through sequential random allocations which rely on firms' characteristics. Using Dirichlet distributions as the driving policy, we derive…

Portfolio Management · Quantitative Finance 2021-06-28 Eric André , Guillaume Coqueret

The most commonly accepted model for investors' preferences is expected utility theory. More recently, other theories have emerged and pose new challenges to mathematics. The present paper treats preferences of cumulative prospect theory…

Portfolio Management · Quantitative Finance 2016-08-07 Miklós Rásonyi , José Gregorio Rodríguez-Villarreal

Under expected utility the local index of absolute risk aversion has played a central role in many applications. Besides, its link with the "global" concepts of the risk and probability premia has reinforced its attractiveness. This paper…

Mathematical Finance · Quantitative Finance 2015-12-29 Louis R. Eeckhoudt , Roger J. A. Laeven

We study various decision problems regarding short-term investments in risky assets whose returns evolve continuously in time. We show that in each problem, all risk-averse decision makers have the same (problem-dependent) ranking over…

Portfolio Management · Quantitative Finance 2020-05-15 Yuval Heller , Amnon Schreiber

How should well-being be prioritised in society, and what trade-offs are people willing to make between fairness and personal well-being? We investigate these questions using a stated preference experiment with a nationally representative…

General Economics · Economics 2026-05-19 Crispin Cooper , Ana Fredrich , Tommaso Reggiani , Wouter Poortinga

In the market place, diversification reduces risk and provides protection against extreme events by ensuring that one is not overly exposed to individual occurrences. We argue that diversification is best measured by characteristics of the…

Portfolio Management · Quantitative Finance 2011-02-24 Ulrich Kirchner , Caroline Zunckel

A discrete time probabilistic model, for optimal equity allocation and portfolio selection, is formulated so as to apply to (at least) reinsurance. In the context of a company with several portfolios (or subsidiaries), representing both…

Optimization and Control · Mathematics 2008-12-02 Erik Taflin

We discuss risked competitive partial equilibrium in a setting in which agents are endowed with coherent risk measures. In contrast to socialplanning models, we show by example that risked equilibria are not unique, even when agents'…

Optimization and Control · Mathematics 2017-06-27 Henri Gérard , Vincent Leclère , Andy Philpott

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…

Portfolio Management · Quantitative Finance 2025-03-05 Guohui Guan , Jiaqi Hu , Zongxia Liang

This paper attempts to find a relationship between agents' risk aversion and inequality of incomes. Specifically, a model is proposed for the evolution in time of surplus/deficit distribution, and the long-time distributions are…

Economics · Quantitative Finance 2016-05-12 Eleonora Perversi , Eugenio Regazzini

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

Portfolio selection problems that optimize expected utility are usually difficult to solve. If the number of assets in the portfolio is large, such expected utility maximization problems become even harder to solve numerically. Therefore,…

Portfolio Management · Quantitative Finance 2026-02-17 Nuerxiati Abudurexiti , Erhan Bayraktar , Takaki Hayashi , Hasanjan Sayit

We study a discrete-time consumption-based capital asset pricing model under expectations-based reference-dependent preferences. More precisely, we consider an endowment economy populated by a representative agent who derives utility from…

Mathematical Finance · Quantitative Finance 2024-01-24 Luca De Gennaro Aquino , Xuedong He , Moris Simon Strub , Yuting Yang

Myopic investors are locally rational decision-makers but globally irrational. Their suboptimal portfolios lag the market. As a consequence, other market participants are provided with profit opportunities. Not subterfuge but constrained…

Portfolio Management · Quantitative Finance 2023-02-28 Bernhard K Meister

In this paper, we explore the portfolio allocation problem involving an uncertain covariance matrix. We calculate the expected value of the Constant Absolute Risk Aversion (CARA) utility function, marginalized over a distribution of…

Portfolio Management · Quantitative Finance 2023-11-14 Maxime Markov , Vladimir Markov