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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

The mean-variance portfolio that considers the trade-off between expected return and risk has been widely used in the problem of asset allocation for multi-asset portfolios. However, since it is difficult to estimate the expected return and…

投资组合管理 · 定量金融 2022-02-22 Yusuke Uchiyama , Kei Nakagawa

Extreme Value Theory (EVT) is one of the most commonly used approaches in finance for measuring the downside risk of investment portfolios, especially during financial crises. In this paper, we propose a novel approach based on EVT called…

综合经济学 · 经济学 2020-11-16 Hamidreza Arian , Hossein Poorvasei , Azin Sharifi , Shiva Zamani

Portfolio Management is the process of overseeing a group of investments, referred to as a portfolio, with the objective of achieving predetermined investment goals. Portfolio optimization is a key component that involves allocating the…

投资组合管理 · 定量金融 2026-02-20 Srijan Sood , Kassiani Papasotiriou , Marius Vaiciulis , Tucker Balch

In financial markets marked by inherent volatility, extreme events can result in substantial investor losses. This paper proposes a portfolio strategy designed to mitigate extremal risks. By applying extreme value theory, we evaluate the…

投资组合管理 · 定量金融 2024-09-20 Qian Hui , Tiandong Wang

The question of optimal portfolio is addressed. The conventional Markowitz portfolio optimisation is discussed and the shortcomings due to non-Gaussian security returns are outlined. A method is proposed to minimise the likelihood of…

物理与社会 · 物理学 2008-12-02 Robert Kitt , Jaan Kalda

This work studies the dynamic risk management of the risk-neutral value of the potential credit losses on a portfolio of derivatives. Sensitivities-based hedging of such liability is sub-optimal because of bid-ask costs, pricing models…

计算金融 · 定量金融 2023-12-22 Roberto Daluiso , Marco Pinciroli , Michele Trapletti , Edoardo Vittori

We introduce a novel approach to portfolio optimization that leverages hierarchical graph structures and the Schur complement method to systematically reduce computational complexity while preserving full covariance information. Inspired by…

投资组合管理 · 定量金融 2025-03-18 Gamal Mograby

Risk diversification is the basis of insurance and investment. It is thus crucial to study the effects that could limit it. One of them is the existence of systemic risk that affects all the policies at the same time. We introduce here a…

风险管理 · 定量金融 2013-12-03 Marc Busse , Michel Dacorogna , Marie Kratz

In this study, we address the challenge of portfolio optimization, a critical aspect of managing investment risks and maximizing returns. The mean-CVaR portfolio is considered a promising method due to today's unstable financial market…

投资组合管理 · 定量金融 2023-09-22 Kei Nakagawa , Masaya Abe , Seiichi Kuroki

The fundamental principle in Modern Portfolio Theory (MPT) is based on the quantification of the portfolio's risk related to performance. Although MPT has made huge impacts on the investment world and prompted the success and prevalence of…

投资组合管理 · 定量金融 2021-02-15 Shi Yu , Haoran Wang , Chaosheng Dong

Conditional value-at-risk (CVaR) and value-at-risk (VaR) are popular tail-risk measures in finance and insurance industries as well as in highly reliable, safety-critical uncertain environments where often the underlying probability…

机器学习 · 计算机科学 2021-06-23 Shubhada Agrawal , Wouter M. Koolen , Sandeep Juneja

We provided proof here that coefficient of variation (CV) is a direct measure of risk using an equation that has been derived here for the first time. We also presented a method to generate a stock CV based on return that strongly…

数理金融 · 定量金融 2022-06-22 Julius O. Campeciño

Using Monte Carlo simulation to calculate the Value at Risk (VaR) as a possible risk measure requires adequate techniques. One of these techniques is the application of a compound distribution for the aggregates in a portfolio. In this…

计算金融 · 定量金融 2017-02-16 M. Assadsolimani , D. Chetalova

The paper discusses capital allocation using the Euler formula and focuses on the risk measures Value-at-Risk (VaR) and Expected shortfall (ES). Some new results connected to this capital allocation is known. Two examples illustrate that…

风险管理 · 定量金融 2024-05-02 Lars Holden

The measure of portfolio risk is an important input of the Markowitz framework. In this study, we explored various methods to obtain a robust covariance estimators that are less susceptible to financial data noise. We evaluated the…

投资组合管理 · 定量金融 2024-06-04 Qiqin Zhou

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

The contour maps of the error of historical resp. parametric estimates for large random portfolios optimized under the risk measure Expected Shortfall (ES) are constructed. Similar maps for the sensitivity of the portfolio weights to small…

风险管理 · 定量金融 2015-10-19 Fabio Caccioli , Imre Kondor , Gábor Papp

We consider a collection of derivatives that depend on the price of an underlying asset at expiration or maturity. The absence of arbitrage is equivalent to the existence of a risk-neutral probability distribution on the price; in…

计算金融 · 定量金融 2020-03-09 Shane Barratt , Jonathan Tuck , Stephen Boyd

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…

投资组合管理 · 定量金融 2019-12-23 Alev Meral