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Related papers: Behavioral Portfolio Selection in Continuous Time

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In this paper we study a class of time-inconsistent terminal Markovian control problems in discrete time subject to model uncertainty. We combine the concept of the sub-game perfect strategies with the adaptive robust stochastic to tackle…

Optimization and Control · Mathematics 2020-09-10 Tomasz R. Bielecki , Tao Chen , Igor Cialenco

In this paper we derive the exact solution of the multi-period portfolio choice problem for an exponential utility function under return predictability. It is assumed that the asset returns depend on predictable variables and that the joint…

Portfolio Management · Quantitative Finance 2023-04-19 Taras Bodnar , Nestor Parolya , Wolfgang Schmid

We consider a single-period portfolio selection problem for an investor, maximizing the expected ratio of the portfolio utility and the utility of a best asset taken in hindsight. The decision rules are based on the history of stock returns…

Portfolio Management · Quantitative Finance 2020-06-11 Dmitry B. Rokhlin

CRRA utility where the risk aversion coefficient is a constant is commonly seen in various economics models. But wealth-driven risk aversion rarely shows up in investor's investment problems. This paper mainly focus on numerical solutions…

Machine Learning · Statistics 2022-10-04 Ruoxin Xiao

We provide sufficient conditions for semi-nonparametric point identification of a mixture model of decision making under risk, when agents make choices in multiple lines of insurance coverage (contexts) by purchasing a bundle. As a first…

Econometrics · Economics 2023-07-19 Levon Barseghyan , Francesca Molinari

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

Cover's celebrated theorem states that the long run yield of a properly chosen "universal" portfolio is as good as the long run yield of the best retrospectively chosen constant rebalanced portfolio. The "universality" pertains to the fact…

Mathematical Finance · Quantitative Finance 2016-11-30 Christa Cuchiero , Walter Schachermayer , Ting-Kam Leonard Wong

Protecting against cyber-threats is vital for every organization and can be done by investing in cybersecurity controls and purchasing cyber insurance. However, these are interlinked since insurance premiums could be reduced by investing…

Econometrics · Economics 2024-12-02 Chaitanya Joshi , Jinming Yang , Sergeja Slapnicar , Ryan K L Ko

Challenge Theory (CT), a new approach to decision under risk departs significantly from expected utility, and is based on firmly psychological, rather than economic, assumptions. The paper demonstrates that a purely cognitive-psychological…

General Economics · Economics 2019-10-11 Samuel Shye , Ido Haber

It is well known that mean-variance portfolio selection is a time-inconsistent optimal control problem in the sense that it does not satisfy Bellman's optimality principle and therefore the usual dynamic programming approach fails. We…

Portfolio Management · Quantitative Finance 2012-05-23 Christoph Czichowsky

We propose martingale consumption as a natural, desirable consumption pattern for any given (proportional) investment strategy. The idea is to always adjust current consumption so as to achieve level expected future consumption under the…

Mathematical Finance · Quantitative Finance 2025-05-28 Peter Holm Nielsen

We consider an investor facing a classical portfolio problem of optimal investment in a log-Brownian stock and a fixed-interest bond, but constrained to choose portfolio and consumption strategies that reduce a dynamic shortfall risk…

Portfolio Management · Quantitative Finance 2017-08-04 Imke Redeker , Ralf Wunderlich

This paper develops a unified framework that integrates behavioral distortions into rational portfolio optimization by extracting implied probability weighting functions (PWFs) from optimal portfolios modeled under Gaussian and…

General Economics · Economics 2025-07-08 Ayush Jha , Abootaleb Shirvani , Ali M. Jaffri , Svetlozar T. Rachev , Frank J. Fabozzi

We investigate optimal consumption policies in the liquidity risk model introduced in Pham and Tankov (2007). Our main result is to derive smoothness results for the value functions of the portfolio/consumption choice problem. As an…

Probability · Mathematics 2008-07-03 Alessandra Cretarola , Fausto Gozzi , Huyên Pham , Peter Tankov

This work proposes a unified framework for portfolio allocation, covering both asset selection and optimization, based on a multiple-hypothesis predict-then-optimize approach. The portfolio is modeled as a structured ensemble, where each…

Portfolio Management · Quantitative Finance 2025-11-19 Alejandro Rodriguez Dominguez , Muhammad Shahzad , Xia Hong

Portfolio selection in the periodic investment of securities modeled by a multivariate Merton model with dependent jumps is considered. The optimization framework is designed to maximize expected terminal wealth when portfolio risk is…

Statistics Theory · Mathematics 2021-04-22 Bahareh Afhami , Mohsen Rezapour , Mohsen Madadi , Vahed Maroufy

Market traders often engage in the frequent transaction of volatile assets to optimize their total return. In this study, we introduce a novel investment strategy model, anchored on the 'lazy factor.' Our approach bifurcates into a Price…

Portfolio Management · Quantitative Finance 2023-06-14 Shuo Han , Yinan Chen , Jiacheng Liu

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 dynamic portfolio selection of an investor who uses deep learning methods to forecast stock market excess returns. In a two-asset allocation problem, deep neural networks -- both feedforward and long short-term memory (LSTM)…

General Finance · Quantitative Finance 2026-02-16 Mykola Babiak , Jozef Barunik

We study the optimal investment problem for a continuous time incomplete market model such that the risk-free rate, the appreciation rates and the volatility of the stocks are all random; they are assumed to be independent from the driving…

Portfolio Management · Quantitative Finance 2014-04-01 Nikolai Dokuchaev
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