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Robust estimation for modern portfolio selection on a large set of assets becomes more important due to large deviation of empirical inference on big data. We propose a distributionally robust methodology for high-dimensional mean-variance…

统计方法学 · 统计学 2024-09-12 Ruike Wu , Yanrong Yang , Han Lin Shang , Huanjun Zhu

In this paper, we study the optimal control problem for a company whose surplus process evolves as an upward jump diffusion with random return on investment. Three types of practical optimization problems faced by a company that can control…

投资组合管理 · 定量金融 2016-11-04 Chuancun Yin , Kam Chuen Yuen

Portfolio optimization is a cornerstone of financial decision-making, traditionally relying on classical algorithms to balance risk and return. Recent advances in quantum computing offer a promising alternative, leveraging quantum…

量子物理 · 物理学 2025-11-27 Vicente P. Soloviev , Michal Krompiec

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…

最优化与控制 · 数学 2008-12-02 Erik Taflin

In this paper we continue investigating the optimal dividend and investment problems under the Sparre Andersen model. More precisely, we assume that the claim frequency is a renewal process instead of a standard compound Poisson process,…

概率论 · 数学 2019-09-02 Lihua Bai , Jin Ma

This paper concerns the numerical solution of a fully nonlinear parabolic double obstacle problem arising from a finite portfolio selection with proportional transaction costs. We consider the optimal allocation of wealth among multiple…

投资组合管理 · 定量金融 2017-11-06 Arash Fahim , Wan-Yu Tsai

We study the optimal portfolio liquidation problem over a finite horizon in a limit order book with bid-ask spread and temporary market price impact penalizing speedy execution trades. We use a continuous-time modeling framework, but in…

概率论 · 数学 2014-01-10 Idris Kharroubi , Huyen Pham

Possibilistic risk theory starts from the hypothesis that risk is modelled by fuzzy numbers. In particular, in a possibilistic portfolio choice problem, the return of a risky asset will be a fuzzy number. The expected utility operators have…

投资组合管理 · 定量金融 2019-07-01 Irina Georgescu , Louis Aimé Fono

This paper considers an insurer with two collaborating business lines that must make three critical decisions: (1) dividend payout, (2) a combination of proportional and excess-of-loss reinsurance coverage, and (3) capital injection between…

最优化与控制 · 数学 2025-11-17 Tim J. Boonen , Engel John C. Dela Vega

We study a robust portfolio optimization problem under model uncertainty for an investor with logarithmic or power utility. The uncertainty is specified by a set of possible L\'evy triplets; that is, possible instantaneous drift, volatility…

数理金融 · 定量金融 2016-03-23 Ariel Neufeld , Marcel Nutz

In online portfolio optimization the investor makes decisions based on new, continuously incoming information on financial assets (typically their prices). In our study we consider a learning algorithm, namely the Kiefer--Wolfowitz version…

投资组合管理 · 定量金融 2019-07-05 Zsolt Nika , Miklós Rásonyi

Stochastic matching is the stochastic version of the well-known matching problem, which consists in maximizing the rewards of a matching under a set of probability distributions associated with the nodes and edges. In most stochastic…

最优化与控制 · 数学 2024-05-01 Yuya Hikima , Yasunori Akagi , Hideaki Kim

A new framework for portfolio diversification is introduced which goes beyond the classical mean-variance approach and portfolio allocation strategies such as risk parity. It is based on a novel concept called portfolio dimensionality that…

This paper considers an insurer with two collaborating business lines, and the risk exposure of each line follows a diffusion risk model. The manager of the insurer makes three decisions for each line: (i) dividend payout, (ii)…

最优化与控制 · 数学 2025-08-12 Tim J. Boonen , Engel John C. Dela Vega , Bin Zou

We consider an investor who seeks to maximize her expected utility derived from her terminal wealth relative to the maximum performance achieved over a fixed time horizon, and under a portfolio drawdown constraint, in a market with local…

投资组合管理 · 定量金融 2016-10-28 Ankush Agarwal , Ronnie Sircar

Portfolio optimization is a task that investors use to determine the best allocations for their investments, and fund managers implement computational models to help guide their decisions. While one of the most common portfolio optimization…

投资组合管理 · 定量金融 2023-08-23 Kapil Panda

In the present paper, using a replica analysis, we examine the portfolio optimization problem handled in previous work and discuss the minimization of investment risk under constraints of budget and expected return for the case that the…

投资组合管理 · 定量金融 2017-03-09 Takashi Shinzato

We examine the problem of optimal portfolio allocation within the framework of utility theory. We apply exponential utility to derive the optimal diversification strategy and logarithmic utility to determine the optimal leverage. We enhance…

投资组合管理 · 定量金融 2025-10-01 Vladimir Markov

We present a method for finding optimal hedging policies for arbitrary initial portfolios and market states. We develop a novel actor-critic algorithm for solving general risk-averse stochastic control problems and use it to learn hedging…

计算金融 · 定量金融 2022-07-18 Phillip Murray , Ben Wood , Hans Buehler , Magnus Wiese , Mikko S. Pakkanen

We find economically and statistically significant gains when using machine learning for portfolio allocation between the market index and risk-free asset. Optimal portfolio rules for time-varying expected returns and volatility are…

投资组合管理 · 定量金融 2021-11-05 Michael Pinelis , David Ruppert
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