This article analyzes models for forming an optimal investment portfolio, specifically Markowitz's optimal portfolio theory and the CAPM (Capital Asset Pricing Model). In the analysis section, a portfolio was constructed and examined based on data from 15 joint-stock companies operating in Uzbekistan, using stock price data from the last five years. Additionally, insights from various economists such as William Sharpe, Kan, and Zhou are presented. The beta coefficient between the UCI market index and the expected return of the portfolio was calculated, and the expected return of the portfolio, as well as the efficient frontier, was determined using CAPM. The article concludes with general findings and recommendations.

This article examines the issues of forming an efficient securities portfolio in the capital market of Uzbekistan based on Markowitz’s mean-variance optimization model. The study uses 748 daily observations covering the period from July 23, 2022 to August 14, 2025 and forms equally weighted, minimum variance, and tangent portfolios based on the shares of six joint-stock companies actively traded on the Republican Stock Exchange “Tashkent” - three banks (Hamkorbank, Ipoteka-bank, and Ipak Yuli) and three non-bank companies (Uzbekistan Metallurgical Combine, Uztelecom, UZRTXB, and CHBSK). Portfolio performance is evaluated using the Sharpe ratio, Treynor ratio, Jensen’s alpha, and M² measure, and a comparison of banking and non-banking sector indices is carried out based on 1,000 potential portfolios using Monte Carlo simulation. The results of the study show that the tangent portfolio composed of bank shares demonstrates the highest performance (E(P) = 40.80%, σp = 4.68%, Sharpe ratio = 6.83).

This article analyzes the implementation of Teaching Factory elements in pedagogical technical colleges to align students’ learning activities with real professional practice. The study was conducted over 12 weeks across five institutions involving 60 students. The experimental group engaged in mini-projects, demo lessons, real-task assignments, and portfolio-based assessment. Results indicated a 24–31% improvement in creative thinking, problem solving, digital literacy, reflection, and collaborative skills. Statistical analysis (p<0.001, high Cohen’s d) confirmed the strong impact of the Teaching Factory model. The findings demonstrate that Teaching Factory is an effective approach for enhancing competency-based training in pedagogical technical colleges

This article is dedicated to a comprehensive study of the issues surrounding the diversification of foreign exchange reserves in commercial banks of Uzbekistan. Based on statistical data spanning from 2018 to 2024 and the financial statements of 12 commercial banks, the composition of currency portfolios, risk management mechanisms, and diversification strategies were analyzed. The research findings reveal that 73,4% of foreign exchange reserves in Uzbekistan's commercial banks are concentrated in US dollars, which is 2.5–3 times higher than international standards and significantly increases systemic currency risk. Based on the proposed "5-currency optimal diversification model", it was determined that there is a potential to increase the banks' Sharpe ratio by 96%, reduce maximum losses under stress testing scenarios by 6.3 percentage points, and lower the VaR (Value at Risk) indicator by 4.4 percentage points

In this article, the theoretical and methodological foundations of managing the diversification of types of tourism are analyzed in a comprehensive way. The study scientifically substantiates the economic content of the concept of diversification, its role and strategic importance in the tourism system. The need to manage tourism based on the principles of systematic, strategic and sustainable development is emphasized. During the study, a conceptual model for managing the diversification of tourism types was proposed, which includes the stages of assessing resource potential, market segmentation, the formation of a tourism product portfolio, the improvement of institutional mechanisms and the implementation of a monitoring system. Scientific recommendations and recommendations have also been developed on ensuring economic stability of diversification, reducing seasonality, promoting territorial development and creating added value, making strategic decisions in the field of Tourism, Competitive and sustainable development of the industry

В данной статье проведен анализ кредитного портфеля государственных банков Республики Узбекистан. Проанализирована политика коммерческих банков в отношении физических лиц и кредитная политика в отношении юридических лиц. Разработаны предложения по эффективному использованию кредитных рисков и кредитных линий в коммерческих банках.

This study explores ways to improve the investment activities of commercial banks. The research identifies key directions, including portfolio diversification, the introduction of innovative financial products, entry into international financial markets, participation in public-private partnership projects, and the development of risk management systems.