Showing posts with label Portfolio theory. Show all posts
Showing posts with label Portfolio theory. Show all posts

Wednesday, 27 August 2025

Return and Risk Model for Optimal Portfolio: Applied Case Study Cairo Stock Exchange | Chapter 5 | Business, Management and Economics - Research Progress Vol. 1

Modern financial theory, commonly known as portfolio theory, provides an analytical framework for the investment decision to be made under uncertainty. It is a well-established proposition in portfolio theory that whenever there is an imperfect correlation between returns risk is reduced by maintaining only a portion of wealth in any asset, or by selecting a portfolio according to expected returns and correlations between returns.

 

The major improvement of the portfolio approaches over prior received theory is the incorporation of (a) the riskiness of an asset, and (b) the addition from investing in any asset.

 

Building an investment portfolio is a problem that numerous researchers have addressed for many years. The theme of this paper is to discuss how to propose a new mathematical model like that provided by Markowitz, which helps in choosing a nearly perfect portfolio and an efficient input /output. Besides applying this model to reality, the researcher uses game theory, stochastic and linear programming to provide the model proposed and then uses this model to select a perfect portfolio in the Cairo stock exchange. Game theory is a mathematical framework that is used to study decision-making in situations of strategic interaction. The results are fruitful and the researcher considers this model a new contribution to previous models. The target of this proposed model is achieved, as the risks increase by expanding the size of the portfolio because of the positive direct relationship between risks and returns.

 

 

Author(s) Details

Essam Al Arbed
Economic Faculty, Damascus University, Damascus, Syria.

 

Please see the link:- https://doi.org/10.9734/bpi/bmerp/v1/1121

 

Thursday, 22 July 2021

Decreasing the Computational Workload in Portfolio Optimization | Chapter 8 | Advanced Aspects of Engineering Research Vol. 15

 This chapter demonstrates how market indices can be used to estimate portfolio problem parameters. An evaluation approach is developed for reducing the computing workload in the specification and solution of portfolio optimization problems. The programme uses numerical relationships to transform the traditional portfolio problem into an optimization problem with Capital Market Theory parameters. The addition of the beta coefficient leads in a reduction in computing workload. As a result, asset characteristics are not estimated based on an individual assessment of each asset return. Only by estimating the market index and subsequent evaluations based on asset risk and return relationships can the features be discovered. This reduces the number of evaluations required for the portfolio problem's covariance matrix. The algorithm is demonstrated using indexes and mutual funds from the Bulgarian Stock Exchange to solve a portfolio problem. The collected results aid in the decision-making process for stock market investments.


Author (S) Details

T. Stoilov
Institute of Information and Communication Technologies – Bulgarian Academy of Sciences, Sofia, Bulgaria.

K. Stoilova
Institute of Information and Communication Technologies – Bulgarian Academy of Sciences, Sofia, Bulgaria.

M. Vladimirov
Varna University of Economics, Varna, Bulgaria.

View Book :- https://stm.bookpi.org/AAER-V15/article/view/1744