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In this paper we consider the strategic asset allocation of an insurance company. This task can be seen as a special case of portfolio optimization. In the 1950s, Markowitz proposed to formulate portfolio optimization as a bicriteria…

Computational Engineering, Finance, and Science · Computer Science 2021-03-23 Kerstin Dächert , Ria Grindel , Elisabeth Leoff , Jonas Mahnkopp , Florian Schirra , Jörg Wenzel

Selecting the optimal Markowitz porfolio depends on estimating the covariance matrix of the returns of $N$ assets from $T$ periods of historical data. Problematically, $N$ is typically of the same order as $T$, which makes the sample…

Applications · Statistics 2020-12-29 Raj Agrawal , Uma Roy , Caroline Uhler

Investment returns naturally reside on irregular domains, however, standard multivariate portfolio optimization methods are agnostic to data structure. To this end, we investigate ways for domain knowledge to be conveniently incorporated…

Signal Processing · Electrical Eng. & Systems 2019-10-17 Bruno Scalzo Dees , Ljubisa Stankovic , Anthony G. Constantinides , Danilo P. Mandic

This paper presents a method for incorporating risk aversion into existing decision tree models used in economic evaluations. The method involves applying a probability weighting function based on rank dependent utility theory to reduced…

Theoretical Economics · Economics 2024-01-24 Jacob Smith

This paper considers the finite horizon portfolio rebalancing problem in terms of mean-variance optimization, where decisions are made based on current information on asset returns and transaction costs. The study's novelty is that the…

Methodology · Statistics 2025-08-21 Qingliang Fan , Marcelo C. Medeiros , Hanming Yang , Songshan Yang

We study mean-risk optimal portfolio problems where risk is measured by Recovery Average Value at Risk, a prominent example in the class of recovery risk measures. We establish existence results in the situation where the joint distribution…

Portfolio Management · Quantitative Finance 2023-03-03 Cosimo Munari , Justin Plückebaum , Stefan Weber

A clinician desires to use a risk-stratification method that achieves confident risk-stratification - the risk estimates of the different patients reflect the true risks with a high probability. This allows him/her to use these risks to…

Machine Learning · Computer Science 2018-11-05 Kartik Ahuja , Mihaela van der Schaar

The paper studies problem of continuous time optimal portfolio selection for a incom- plete market diffusion model. It is shown that, under some mild conditions, near optimal strategies for investors with different performance criteria can…

Portfolio Management · Quantitative Finance 2014-04-15 Nikolai Dokuchaev

Estimating the covariance of asset returns, i.e., the risk model, is a key component of financial portfolio construction and evaluation. Most risk modeling approaches produce a factor model that decomposes the asset variability into two…

We present extensive evidence that ``risk premium'' is strongly correlated with tail-risk skewness but very little with volatility. We introduce a new, intuitive definition of skewness and elicit an approximately linear relation between the…

General Finance · Quantitative Finance 2015-11-02 Y. Lempérière , C. Deremble , T. T. Nguyen , P. Seager , M. Potters , J. P. Bouchaud

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

Each individual investor is different, with different financial goals, different levels of risk tolerance and different personal preferences. From the point of view of investment management, these characteristics are often defined as…

General Mathematics · Mathematics 2007-05-23 Jack Allen , Sukanto Bhattacharya , Florentin Smarandache

The ongoing concern about systemic risk since the outburst of the global financial crisis has highlighted the need for risk measures at the level of sets of interconnected financial components, such as portfolios, institutions or members of…

Risk Management · Quantitative Finance 2017-03-24 Yannick Armenti , Stephane Crepey , Samuel Drapeau , Antonis Papapantoleon

In this paper we develop models of asset return mean and covariance that depend on some observable market conditions, and use these to construct a trading policy that depends on these conditions, and the current portfolio holdings. After…

Portfolio Management · Quantitative Finance 2021-02-10 Jonathan Tuck , Shane Barratt , Stephen Boyd

In this research, starting from a widely accepted definition of risk, we support the idea that risk reduction is a more realistic objective than risk minimization, which represents a theoretical utopia. Furthermore, significant risk…

Risk Management · Quantitative Finance 2026-05-01 Pierpaolo Uberti

During the last few years, there has been an interest in comparing simple or heuristic procedures for portfolio selection, such as the naive, equal weights, portfolio choice, against more "sophisticated" portfolio choices, and in explaining…

Portfolio Management · Quantitative Finance 2022-06-07 Henryk Gzyl , Alfredo Rios

Financial markets have developed a lot of strategies to control risks induced by market fluctuations. Mathematics has emerged as the leading discipline to address fundamental questions in finance as asset pricing model and hedging…

Probability · Mathematics 2008-12-10 Nicole El Karoui

We analyze correlations among stock returns via a series of widely adopted parameters which we refer to as explanatory variables. We subsequently exploit the results to propose a long only quantitative adaptive technique to construct a…

Statistical Finance · Quantitative Finance 2018-09-20 Ludovico Latmiral

Generating an investment strategy using advanced deep learning methods in stock markets has recently been a topic of interest. Most existing deep learning methods focus on proposing an optimal model or network architecture by maximizing…

Artificial Intelligence · Computer Science 2020-07-13 Jinho Lee , Raehyun Kim , Seok-Won Yi , Jaewoo Kang

Recurring international financial crises have adverse socioeconomic effects and demand novel regulatory instruments or strategies for risk management and market stabilization. However, the complex web of market interactions often impedes…

Portfolio Management · Quantitative Finance 2009-08-06 Andreas Martin Lisewski