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Optimal reinsurance when Value at Risk and expected surplus is balanced through their ratio is studied, and it is demonstrated how results for risk-adjusted surplus can be utilized. Simplifications for large portfolios are derived, and this…

Applications · Statistics 2019-12-10 Erik Bølviken , Yinzhi Wang

We consider the portfolio optimization with risk measured by conditional value-at-risk, based on the stress event of chosen asset being equal to the opposite of its value-at-risk level, under the normality assumption. Solvability conditions…

Optimization and Control · Mathematics 2017-03-07 Anna Zalewska

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…

Portfolio Management · Quantitative Finance 2023-09-22 Kei Nakagawa , Masaya Abe , Seiichi Kuroki

We provide analytical results for a static portfolio optimization problem with two coherent risk measures. The use of two risk measures is motivated by joint decision-making for portfolio selection where the risk perception of the portfolio…

Portfolio Management · Quantitative Finance 2021-01-19 Tahsin Deniz Aktürk , Çağın Ararat

Considering mean-variance portfolio problems with uncertain model parameters, we contrast the classical absolute robust optimization approach with the relative robust approach based on a maximum regret function. Although the latter problems…

Portfolio Management · Quantitative Finance 2013-05-14 Raphael Hauser , Vijay Krishnamurthy , Reha Tütüncü

The field of portfolio selection is an active research topic, which combines elements and methodologies from various fields, such as optimization, decision analysis, risk management, data science, forecasting, etc. The modeling and…

Portfolio Management · Quantitative Finance 2020-10-28 A. Georgantas

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…

Portfolio Management · Quantitative Finance 2023-04-12 Weiping Wu , Yu Lin , Jianjun Gao , Ke Zhou

This paper is concerned with portfolio optimization models for creating high-quality lists of recommended items to balance the accuracy and diversity of recommendations. However, the statistics (i.e., expectation and covariance of ratings)…

Information Retrieval · Computer Science 2024-10-01 Tomoya Yanagi , Shunnosuke Ikeda , Yuichi Takano

This paper studies a mean-risk portfolio choice problem for log-returns in a continuous-time, complete market. This is a growth-optimal problem with risk control. The risk of log-returns is measured by weighted Value-at-Risk (WVaR), which…

Risk Management · Quantitative Finance 2021-12-30 Pengyu Wei , Zuo Quan Xu

We empirically test predictability on asset price by using stock selection rules based on maximum drawdown and its consecutive recovery. In various equity markets, monthly momentum- and weekly contrarian-style portfolios constructed from…

General Finance · Quantitative Finance 2024-05-24 Jaehyung Choi

Risk management is very important for individual investors or companies. There are many ways to measure the risk of investment. Prices of risky assets vary rapidly and randomly due to the complexity of finance market. Random interval is a…

Portfolio Management · Quantitative Finance 2022-07-26 Jinping Zhang , Keming Zhang

Managing insurance and financial risk when data is limited is a key task in the insurance industry. In this paper, we focus on cases where the risk distribution is modeled as a mixture with some components estimable to high precision or…

Optimization and Control · Mathematics 2026-03-03 N. D. Shyamalkumar , Tianrun Wang

The problem of finding the optimal portfolio for investors is called the portfolio optimization problem. Such problem mainly concerns the expectation and variability of return (i.e., mean and variance). Although the variance would be the…

Portfolio Management · Quantitative Finance 2020-07-21 Kei Nakagawa , Shuhei Noma , Masaya Abe

In this paper, we discuss the ambiguous chance constrained based portfolio optimization problems, in which the perturbations associated with the input parameters are stochastic in nature, but their distributions are not known precisely. We…

Optimization and Control · Mathematics 2023-11-09 Pulak Swain , Akshay Kumar Ojha

This paper investigates how to measure common market risk factors using newly proposed Panel Quantile Regression Model for Returns. By exploring the fact that volatility crosses all quantiles of the return distribution and using penalized…

Pricing of Securities · Quantitative Finance 2017-08-30 Frantisek Cech , Jozef Barunik

This paper studies an optimal investing problem for a retiree facing longevity risk and living standard risk. We formulate the investing problem as a portfolio choice problem under a time-varying risk capacity constraint. We derive the…

Portfolio Management · Quantitative Finance 2022-02-16 Weidong Tian , Zimu Zhu

This paper considers the mean-reverting portfolio design problem arising from statistical arbitrage in the financial markets. We first propose a general problem formulation aimed at finding a portfolio of underlying component assets by…

Portfolio Management · Quantitative Finance 2018-05-09 Ziping Zhao , Daniel P. Palomar

It is shown that the axioms for coherent risk measures imply that whenever there is an asset in a portfolio that dominates the others in a given sample (which happens with finite probability even for large samples), then this portfolio…

Risk Management · Quantitative Finance 2009-09-29 Imre Kondor , Istvan Varga-Haszonits

This paper focuses on a dynamic multi-asset mean-variance portfolio selection problem under model uncertainty. We develop a continuous time framework for taking into account ambiguity aversion about both expected return rates and…

Portfolio Management · Quantitative Finance 2021-12-02 Huyen Pham , Xiaoli Wei , Chao Zhou

We study the problem of portfolio insurance from the point of view of a fund manager, who guarantees to the investor that the portfolio value at maturity will be above a fixed threshold. If, at maturity, the portfolio value is below the…

Risk Management · Quantitative Finance 2011-02-23 Carmine De Franco , Peter Tankov
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