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We study the finite horizon Merton portfolio optimization problem in a general local-stochastic volatility setting. Using model coefficient expansion techniques, we derive approximations for the both the value function and the optimal…

计算金融 · 定量金融 2015-06-23 Matthew Lorig , Ronnie Sircar

This paper proposes a robust, shocks-adaptive portfolio in a large-dimensional assets universe where the number of assets could be comparable to or even larger than the sample size. It is well documented that portfolios based on…

投资组合管理 · 定量金融 2024-10-04 Qingliang Fan , Ruike Wu , Yanrong Yang

Optimal capital allocation between different assets is an important financial problem, which is generally framed as the portfolio optimization problem. General models include the single-period and multi-period cases. The traditional…

投资组合管理 · 定量金融 2019-03-18 Masoud Fekri , Babak Barazandeh

This paper explores the effectiveness of high-frequency options trading strategies enhanced by advanced portfolio optimization techniques, investigating their ability to consistently generate positive returns compared to traditional long or…

交易与市场微观结构 · 定量金融 2024-08-19 Sid Bhatia

The deviation of the efficient market hypothesis (EMH) for the practical economic system allows us gain the arbitrary or risk premium in finance markets. We propose the triplet $(R,H,\sigma)$ theory to give the local and global optimal…

投资组合管理 · 定量金融 2026-01-05 Yifan Liu , Shi-Dong Liang

Basel II and Solvency 2 both use the Value-at-Risk (VaR) as the risk measure to compute the Capital Requirements. In practice, to calibrate the VaR, a normal approximation is often chosen for the unknown distribution of the yearly log…

统计方法学 · 统计学 2013-11-04 Marie Kratz

In this paper, we investigate a portfolio investment problem under volatility uncertainty and short-sale constraints market via sublinear expectation which is used to model volatility uncertainty. We assume the stocks admit volatility…

数理金融 · 定量金融 2026-05-05 Jing He , Shuzhen Yang

In this paper, new results in random matrix theory are derived which allow us to construct a shrinkage estimator of the global minimum variance (GMV) portfolio when the shrinkage target is a random object. More specifically, the shrinkage…

统计金融 · 定量金融 2023-04-19 Taras Bodnar , Nestor Parolya , Erik Thorsen

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

We propose a new approach, termed Realized Risk Measures (RRM), to estimate Value-at-Risk (VaR) and Expected Shortfall (ES) using high-frequency financial data. It extends the Realized Quantile (RQ) approach proposed by Dimitriadis and…

风险管理 · 定量金融 2025-10-21 Federico Gatta , Fabrizio Lillo , Piero Mazzarisi

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…

综合经济学 · 经济学 2025-07-08 Ayush Jha , Abootaleb Shirvani , Ali M. Jaffri , Svetlozar T. Rachev , Frank J. Fabozzi

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

Monte Carlo Approaches for calculating Value-at-Risk (VaR) are powerful tools widely used by financial risk managers across the globe. However, they are time consuming and sometimes inaccurate. In this paper, a fast and accurate Monte Carlo…

综合经济学 · 经济学 2020-11-17 Seyed Mohammad Sina Seyfi , Azin Sharifi , Hamidreza Arian

We study issues of robustness in the context of Quantitative Risk Management and Optimization. We develop a general methodology for determining whether a given risk measurement related optimization problem is robust, which we call…

风险管理 · 定量金融 2021-02-12 Paul Embrechts , Alexander Schied , Ruodu Wang

Stock portfolio optimization is the process of continuous reallocation of funds to a selection of stocks. This is a particularly well-suited problem for reinforcement learning, as daily rewards are compounding and objective functions may…

投资组合管理 · 定量金融 2022-07-06 Charl Maree , Christian W. Omlin

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…

投资组合管理 · 定量金融 2023-04-12 Weiping Wu , Yu Lin , Jianjun Gao , Ke Zhou

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

This survey reviews portfolio choice in settings where investment opportunities are stochastic due to, e.g., stochastic volatility or return predictability. It is explained how to heuristically compute candidate optimal portfolios using…

投资组合管理 · 定量金融 2013-11-08 Ren Liu , Johannes Muhle-Karbe

Worst-case risk measures refer to the calculation of the largest value for risk measures when only partial information of the underlying distribution is available. For the popular risk measures such as Value-at-Risk (VaR) and Conditional…

风险管理 · 定量金融 2016-09-15 Jonathan Yu-Meng Li

This paper uses simulation-based portfolio optimization to mitigate the left tail risk of the portfolio. The contribution is twofold. (i) We propose the Markov regime-switching GARCH model with multivariate normal tempered stable innovation…

风险管理 · 定量金融 2023-02-03 Cheng Peng , Young Shin Kim , Stefan Mittnik