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We consider the life-cycle optimal portfolio choice problem faced by an agent receiving labor income and allocating her wealth to risky assets and a riskless bond subject to a borrowing constraint. In this paper, to reflect a realistic…

Optimization and Control · Mathematics 2020-09-10 Boualem Djehiche , Fausto Gozzi , Giovanni Zanco , Margherita Zanella

We study the portfolio selection problem of a long-run investor who is maximising the asymptotic growth rate of her expected utility. We show that, somewhat surprisingly, it is essentially not affected by introduction of a floor constraint…

Portfolio Management · Quantitative Finance 2013-05-30 Vladimir Cherny , Jan Obloj

This paper considers optimal control problem of a large insurance company under a fixed insolvency probability. The company controls proportional reinsurance rate, dividend pay-outs and investing process to maximize the expected present…

Risk Management · Quantitative Finance 2010-06-01 Zongxia Liang , Jianping Huang

We analyze the consumption-portfolio selection problem of an investor facing both Brownian and jump risks. We bring new tools, in the form of orthogonal decompositions, to bear on the problem in order to determine the optimal portfolio in…

Probability · Mathematics 2009-06-15 Yacine Aït-Sahalia , Julio Cacho-Diaz , T. R. Hurd

In this paper, we study an intertemporal utility maximization problem in which an investor chooses consumption and portfolio strategies in the presence of a stochastic factor and a no-borrowing constraint. In the spirit of the Kim-Omberg…

Optimization and Control · Mathematics 2026-03-12 Giorgio Ferrari , Tim Niclas Schütz

Online portfolio selection research has so far focused mainly on minimizing regret defined in terms of wealth growth. Practical financial decision making, however, is deeply concerned with both wealth and risk. We consider online learning…

Mathematical Finance · Quantitative Finance 2017-05-30 Guy Uziel , Ran El-Yaniv

In this study we propose a unified model of optimal retirement, consumption and portfolio choice of an individual agent, which encompasses a large class of the models in the literature and provide a general methodology to solve the model.…

Optimization and Control · Mathematics 2021-11-02 Junkee Jeon , Hyeng Keun Koo

We present a robust version of the life-cycle optimal portfolio choice problem in the presence of labor income, as introduced in Biffis, Gozzi and Prosdocimi ("Optimal portfolio choice with path dependent labor income: the infinite horizon…

Optimization and Control · Mathematics 2022-03-08 Sara Biagini , Fausto Gozzi , Margherita Zanella

In this paper, we discuss the ambiguous chance constrained based portfolio optimization problems, in which the perturbations associated with the input parameters are stochastic in nature, but their distributions are not known precisely. We…

Optimization and Control · Mathematics 2023-11-09 Pulak Swain , Akshay Kumar Ojha

A retiree's appetite for risk is a common input into the lifetime utility models that are traditionally used to find optimal strategies for the decumulation of retirement savings. In this work, we consider a retiree with potentially…

General Economics · Economics 2024-03-18 Benjamin Avanzi , Lewis de Felice

We study the problem of active portfolio management where an investor aims to outperform a benchmark strategy's risk profile while not deviating too far from it. Specifically, an investor considers alternative strategies whose terminal…

Mathematical Finance · Quantitative Finance 2022-06-22 Silvana Pesenti , Sebastian Jaimungal

In this paper, we develop an expected utility model for the retirement behavior in the decumulation phase of Australian retirees with sequential family status subject to consumption, housing, investment, bequest and government provided…

Economics · Quantitative Finance 2016-06-30 Johan G. Andreasson , Pavel V. Shevchenko , Alex Novikov

We characterize optimal monetary policy when policy endogenously moves risk premia through redistribution across agents who differ in their willingness to bear risk. The analytical core is Marginal Risk Capacity, the covariance of monetary…

Theoretical Economics · Economics 2026-03-24 Rui Sun

We pose an optimal control problem arising in a perhaps new model for retirement investing. Given a control function $f$ and our current net worth as $X(t)$ for any $t$, we invest an amount $f(X(t))$ in the market. We need a fortune of $M$…

Statistical Finance · Quantitative Finance 2016-05-04 Philip Ernst , Dean Foster , Larry Shepp

Optimal reinsurance when Value at Risk and expected surplus is balanced through their ratio is studied, and it is demonstrated how results for risk-adjusted surplus can be utilized. Simplifications for large portfolios are derived, and this…

Applications · Statistics 2019-12-10 Erik Bølviken , Yinzhi Wang

In this paper we consider an optimal investment and reinsurance problem with partially unknown model parameters which are allowed to be learned. The model includes multiple business lines and dependence between them. The aim is to maximize…

Optimization and Control · Mathematics 2025-10-16 Nicole Bäuerle , Gregor Leimcke

We study portfolio selection in a complete continuous-time market where the preference is dictated by the rank-dependent utility. As such a model is inherently time inconsistent due to the underlying probability weighting, we study the…

Mathematical Finance · Quantitative Finance 2020-06-04 Ying Hu , Hanqing Jin , Xun Yu Zhou

Previous studies into the budget constraint of portfolio optimization problems based on statistical mechanical informatics have not considered that the purchase cost per unit of each asset is distinct. Moreover, the fact that the optimal…

Portfolio Management · Quantitative Finance 2019-06-26 Takashi Shinzato

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…

Mathematical Finance · Quantitative Finance 2020-06-16 Ben-Zhang Yang , Xiaoping Lu , Guiyuan Ma , Song-Ping Zhu

We study a robust maximization problem from terminal wealth and consumption under a convex constraints on the portfolio. We state the existence and the uniqueness of the consumption-investment strategy by studying the associated quadratic…

Probability · Mathematics 2014-09-23 Anis Matoussi , Hanen Mezghani , Mohamed Mnif
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