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We consider an investor, whose portfolio consists of a single risky asset and a risk free asset, who wants to maximize his expected utility of the portfolio subject to managing the Value at Risk (VaR) assuming a heavy tailed distribution of…

投资组合管理 · 定量金融 2020-12-02 Subhojit Biswas , Mrinal K. Ghosh , Diganta Mukherjee

Consider an equity market with $n$ stocks. The vector of proportions of the total market capitalizations that belong to each stock is called the market weight. The market weight defines the market portfolio which is a buy-and-hold portfolio…

投资组合管理 · 定量金融 2015-07-29 Soumik Pal , Ting-Kam Leonard Wong

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

This paper studies a type of periodic utility maximization for portfolio management in an incomplete market model, where the underlying price diffusion process depends on some external stochastic factors. The portfolio performance is…

投资组合管理 · 定量金融 2024-01-29 Wenyuan Wang , Kaixin Yan , Xiang Yu

In academic literature portfolio risk management and hedging are often versed in the language of stochastic control and Hamilton--Jacobi--Bellman~(HJB) equations in continuous time. In practice the continuous-time framework of stochastic…

投资组合管理 · 定量金融 2023-09-28 Paul Alexander Bilokon

Once there is a decision of rebalancing or updating a portfolio of funds, the process of changing the current portfolio to the target one, involves a set of transactions that are susceptible of being optimized. This is particularly relevant…

投资组合管理 · 定量金融 2023-11-29 Tomás de la Rosa

We propose a portfolio allocation method based on risk factor budgeting using convex Nonnegative Matrix Factorization (NMF). Unlike classical factor analysis, PCA, or ICA, NMF ensures positive factor loadings to obtain interpretable…

投资组合管理 · 定量金融 2023-06-13 Bruno Spilak , Wolfgang Karl Härdle

This paper explores the practical approach to portfolio selection methods for investments. The study delves into portfolio theory, discussing concepts such as expected return, variance, asset correlation, and opportunity sets. It also…

投资组合管理 · 定量金融 2024-10-16 Carlos Minutti-Martinez

In this paper, we discuss portfolio selection strategies for Enhanced Indexation (EI), which are based on stochastic dominance relations. The goal is to select portfolios that stochastically dominate a given benchmark but that, at the same…

投资组合管理 · 定量金融 2024-01-24 Francesco Cesarone , Justo Puerto

Individual investors are now massively using online brokers to trade stocks with convenient interfaces and low fees, albeit losing the advice and personalization traditionally provided by full-service brokers. We frame the problem faced by…

人工智能 · 计算机科学 2021-03-16 Robin Swezey , Bruno Charron

Classical mean-variance portfolio theory tells us how to construct a portfolio of assets which has the greatest expected return for a given level of return volatility. Utility theory then allows an investor to choose the point along this…

投资组合管理 · 定量金融 2009-09-21 Alex Dannenberg

This paper examines the implementation of a statistical arbitrage trading strategy based on co-integration relationships where we discover candidate portfolios using multiple factors rather than just price data. The portfolio selection…

投资组合管理 · 定量金融 2014-05-13 Wenbin Zhang , Zhen Dai , Bindu Pan , Milan Djabirov

This paper introduces a novel methodology for index return forecasting, blending highly correlated stock prices, advanced deep learning techniques, and intricate factor integration. Departing from conventional cap-weighted approaches, our…

综合金融 · 定量金融 2024-05-06 Tian Tian , Ricky Cooper , Jiahao Deng , Qingquan Zhang

This paper derives a portfolio decomposition formula when the agent maximizes utility of her wealth at some finite planning horizon. The financial market is complete and consists of multiple risky assets (stocks) plus a risk free asset. The…

概率论 · 数学 2008-12-02 Traian A Pirvu , Ulrich G Haussmann

The optimization of large portfolios displays an inherent instability to estimation error. This poses a fundamental problem, because solutions that are not stable under sample fluctuations may look optimal for a given sample, but are, in…

投资组合管理 · 定量金融 2015-05-14 Susanne Still , Imre Kondor

This article is focused on using a new measurement of risk-- Weighted Value at Risk to develop a new method of constructing initiate from the TVAR solving problem, based on MATLAB software, using the historical simulation method (avoiding…

风险管理 · 定量金融 2012-11-27 Tianyu Hao

This paper studies a non-stochastic version of Fernholz's stochastic portfolio theory for a simple model of stock markets with continuous price paths. It establishes non-stochastic versions of the most basic results of stochastic portfolio…

投资组合管理 · 定量金融 2018-02-28 Vladimir Vovk

This is the first in a series of papers in which we study an efficient approximation scheme for solving the Hamilton-Jacobi-Bellman equation for multi-dimensional problems in stochastic control theory. The method is a combination of a WKB…

计算金融 · 定量金融 2014-06-26 Sakda Chaiworawitkul , Patrick S. Hagan , Andrew Lesniewski

This paper considers the mean-reverting portfolio design problem arising from statistical arbitrage in the financial markets. The problem is formulated by optimizing a criterion characterizing the mean-reversion strength of the portfolio…

投资组合管理 · 定量金融 2016-11-28 Ziping Zhao , Daniel P. Palomar

We propose a data-driven portfolio selection model that integrates side information, conditional estimation and robustness using the framework of distributionally robust optimization. Conditioning on the observed side information, the…

投资组合管理 · 定量金融 2024-04-10 Viet Anh Nguyen , Fan Zhang , Shanshan Wang , Jose Blanchet , Erick Delage , Yinyu Ye