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Volatility is the canonical measure of financial risk, a role largely inherited from Modern Portfolio Theory. Yet, its universality rests on restrictive efficiency assumptions that render volatility, at best, an incomplete proxy for true…

数理金融 · 定量金融 2026-05-01 Sergio Bianchi , Daniele Angelini

In this paper we assume a multivariate risk model has been developed for a portfolio and its capital derived as a homogeneous risk measure. The Euler (or gradient) principle, then, states that the capital to be allocated to each component…

统计计算 · 统计学 2015-08-06 Rodrigo S. Targino , Gareth W. Peters , Pavel V. Shevchenko

In this paper we consider a generalization of the Markowitz's Mean-Variance model under linear transaction costs and cardinality constraints. The cardinality constraints are used to limit the number of assets in the optimal portfolio. The…

计算工程、金融与科学 · 计算机科学 2014-04-15 Mahdi Moeini

Systemic risk measures were introduced to capture the global risk and the corresponding contagion effects that is generated by an interconnected system of financial institutions. To this purpose, two approaches were suggested. In the first…

最优化与控制 · 数学 2024-02-23 Sarah Kaakai , Anis Matoussi , Achraf Tamtalini

The mean and variance of portfolio returns are the standard quantities to measure the expected return and risk of a portfolio. Efficient portfolios that provide optimal trade-offs between mean and variance warrant consideration. To express…

信号处理 · 电气工程与系统科学 2022-12-15 Shengjie Xiu , Xiwen Wang , Daniel P. Palomar

We study the feasibility and noise sensitivity of portfolio optimization under some downside risk measures (Value-at-Risk, Expected Shortfall, and semivariance) when they are estimated by fitting a parametric distribution on a finite sample…

风险管理 · 定量金融 2008-12-10 Istvan Varga-Haszonits , Imre Kondor

We extend and test empirically the multifractal model of asset returns based on a multiplicative cascade of volatilities from large to small time scales. The multifractal description of asset fluctuations is generalized into a multivariate…

统计力学 · 物理学 2008-12-10 J. -F. Muzy , D. Sornette , J. Delour , A. Arneodo

We introduce new mathematical methods to study the optimal portfolio size of investment portfolios over time, considering investors with varying skill levels. First, we explore the benefit of portfolio diversification on an annual basis for…

投资组合管理 · 定量金融 2024-02-26 Nick James , Max Menzies

We build the time series of optimal realized portfolio weights from high-frequency data and we suggest a novel Dynamic Conditional Weights (DCW) model for their dynamics. DCW is benchmarked against popular model-based and model-free…

统计金融 · 定量金融 2020-04-28 Fabrizio Cipollini , Giampiero M. Gallo , Alessandro Palandri

The instability of historical risk factor correlations renders their use in estimating portfolio risk extremely questionable. In periods of market stress correlations of risk factors have a tendency to quickly go well beyond estimated…

适应与自组织系统 · 物理学 2008-12-10 Vineer Bhansali , Mark B. Wise

Machine learning (ML) methods have been successfully employed in identifying variables that can predict the equity premium of individual stocks. In this paper, we investigate if ML can also be helpful in selecting variables relevant for…

投资组合管理 · 定量金融 2025-08-22 Guilherme V. Moura , André P. Santos , Hudson S. Torrent

In portfolio risk minimization, the inverse covariance matrix of returns is often unknown and has to be estimated in practice. This inverse covariance matrix also prescribes the hedge trades in which a stock is hedged by all the other…

投资组合管理 · 定量金融 2024-07-15 Lim Hao Shen Keith

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…

投资组合管理 · 定量金融 2020-06-11 Dmitry B. Rokhlin

We derive new results related to the portfolio choice problem for power and logarithmic utilities. Assuming that the portfolio returns follow an approximate log-normal distribution, the closed-form expressions of the optimal portfolio…

投资组合管理 · 定量金融 2023-04-19 Taras Bodnar , Dmytro Ivasiuk , Nestor Parolya , Wofgang Schmid

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

This study presents an ANWSER model (asset network systemic risk model) to quantify the risk of financial contagion which manifests itself in a financial crisis. The transmission of financial distress is governed by a heterogeneous bank…

风险管理 · 定量金融 2016-11-17 Yoshiharu Maeno , Kenji Nishiguchi , Satoshi Morinaga , Hirokazu Matsushima

We introduce a new set of consistent measures of risks, in terms of the semi-invariants of pdf's, such that the centered moments and the cumulants of the portfolio distribution of returns that put more emphasis on the tail the…

统计力学 · 物理学 2008-12-10 Y. Malevergne , D. Sornette

In the market place, diversification reduces risk and provides protection against extreme events by ensuring that one is not overly exposed to individual occurrences. We argue that diversification is best measured by characteristics of the…

投资组合管理 · 定量金融 2011-02-24 Ulrich Kirchner , Caroline Zunckel

In order to properly manage risk, practitioners must understand the aggregate risks they are exposed to. Additionally, to properly price policies and calculate bonuses the relative riskiness of individual business units must be well…

风险管理 · 定量金融 2024-10-22 Andrew Fleck , Edward Furman , Yang Shen

Classical portfolio optimization methods typically determine an optimal capital allocation through the implicit, yet critical, assumption of statistical time-invariance. Such models are inadequate for real-world markets as they employ…

统计金融 · 定量金融 2021-02-02 Bruno Scalzo , Alvaro Arroyo , Ljubisa Stankovic , Danilo P. Mandic
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