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This paper considers consumption and portfolio optimization problems with recursive preferences in both infinite and finite time regions. Specially, the financial market consists of a risk-free asset and a risky asset that follows a general…

Optimization and Control · Mathematics 2024-12-30 Jian-hao Kang , Zhun Gou , Nan-jing Huang

This work initiates research into the problem of determining an optimal investment strategy for investors with different attitudes towards the trade-offs of risk and profit. The probability distribution of the return values of the stocks…

Computational Engineering, Finance, and Science · Computer Science 2007-05-23 Ming-Yang Kao , Andreas Nolte , Stephen R. Tate

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

In this paper, we propose a new class of optimization problems, which maximize the terminal wealth and accumulated consumption utility subject to a mean variance criterion controlling the final risk of the portfolio. The multiple-objective…

Mathematical Finance · Quantitative Finance 2020-11-30 Ben-Zhang Yang , Xin-Jiang He , Song-Ping Zhu

We consider a utility-maximization problem in a general semimartingale financial model, subject to constraints on the number of shares held in each risky asset. These constraints are modeled by predictable convex-set-valued processes whose…

Portfolio Management · Quantitative Finance 2013-02-25 Kasper Larsen , Gordan Žitković

This paper investigates a continuous-time portfolio optimization problem with the following features: (i) a no-short selling constraint; (ii) a leverage constraint, that is, an upper limit for the sum of portfolio weights; and (iii) a…

Portfolio Management · Quantitative Finance 2022-03-08 Masashi Ieda

We analyze characteristics' joint predictive information through the lens of out-of-sample power utility functions. Linking weights to characteristics to form optimal portfolios suffers from estimation error which we mitigate by maximizing…

General Finance · Quantitative Finance 2024-02-05 Christopher G. Lamoureux , Huacheng Zhang

We construct Zero-Coupon Bond markets driven by a cylindrical Brownian motion in which the notion of generalized portfolio has important flaws: There exist bounded smooth random variables with generalized hedging portfolios for which the…

Probability · Mathematics 2011-01-06 Erik Taflin

The potential benefits of portfolio diversification have been known to investors for a long time. Markowitz (1952) suggested the seminal approach for optimizing the portfolio problem based on finding the weights as budget shares that…

Theoretical Economics · Economics 2019-03-05 Abdulnasser Hatemi-J , Mohamed Ali Hajji , Youssef El-Khatib

This paper studies the problem of maximizing expected utility from terminal wealth combining a static position in derivative securities, which we assume can be traded only at time zero, with a traditional dynamic trading strategy in stocks.…

Portfolio Management · Quantitative Finance 2013-10-09 Pietro Siorpaes

In this paper, we search for optimal portfolio strategies in the presence of various risk measure that are common in financial applications. Particularly, we deal with the static optimization problem with respect to Value at Risk, Expected…

Portfolio Management · Quantitative Finance 2019-12-23 Alev Meral

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

We introduce a generic solver for dynamic portfolio allocation problems when the market exhibits return predictability, price impact and partial observability. We assume that the price modeling can be encoded into a linear state-space and…

Portfolio Management · Quantitative Finance 2016-11-07 M. Abeille , E. Serie , A. Lazaric , X. Brokmann

We study the worst portfolios for a class of law invariant dynamic monetary utility functions with domain in a class of stochastic processes. The concept of comonotonicity is introduced for these processes in order to prove the existence of…

Optimization and Control · Mathematics 2017-04-19 Daniel Hernandez-Hernandez , Oscar Hernan Madrid Padilla

The optimal strategies for a long-term static investor are studied. Given a portfolio of a stock and a bond, we derive the optimal allocation of the capitols to maximize the expected long-term growth rate of a utility function of the…

Portfolio Management · Quantitative Finance 2014-10-16 Lingjiong Zhu

We extend Relative Robust Portfolio Optimisation models to allow portfolios to optimise their distance to a set of benchmarks. Portfolio managers are also given the option of computing regret in a way which is more in line with market…

Portfolio Management · Quantitative Finance 2017-01-12 Gonçalo Simões , Mark McDonald , Stacy Williams , Daniel Fenn , Raphael Hauser

The field of portfolio selection is an active research topic, which combines elements and methodologies from various fields, such as optimization, decision analysis, risk management, data science, forecasting, etc. The modeling and…

Portfolio Management · Quantitative Finance 2020-10-28 A. Georgantas

This paper addresses the importance of incorporating various risk measures in portfolio management and proposes a dynamic hybrid portfolio optimization model that combines the spectral risk measure and the Value-at-Risk in the mean-variance…

Portfolio Management · Quantitative Finance 2023-04-12 Weiping Wu , Yu Lin , Jianjun Gao , Ke Zhou

This paper addresses the optimal scheduling of the liquidation of a portfolio using a new angle. Instead of focusing only on the scheduling aspect like Almgren and Chriss, or only on the liquidity-consuming orders like Obizhaeva and Wang,…

Trading and Market Microstructure · Quantitative Finance 2013-04-05 Olivier Guéant , Charles-Albert Lehalle , Joaquin Fernandez Tapia

By employing the technique of enlargement of filtrations, we demonstrate how to incorporate information about the future trend of the stochastic interest rate process into a financial model. By modeling the interest rate as an affine…

Pricing of Securities · Quantitative Finance 2025-04-25 Bernardo D'Auria , José Antonio Salmerón