Portfolio Optimization Using Modern Portfolio Theory in Investment Management

Abstract

Portfolio optimization is a fundamental aspect of investment management that focuses on constructing a portfolio capable of delivering the highest possible return while minimizing investment risk. Modern Portfolio Theory (MPT), introduced by Harry Markowitz, provides a quantitative framework for selecting an optimal combination of assets based on their expected returns, variances, and correlations. This study examines the application of Modern Portfolio Theory in optimizing investment portfolios by evaluating the trade-off between risk and return across different asset classes. Historical financial data are analyzed to estimate expected returns, standard deviations, and covariance among selected securities. The efficient frontier is generated to identify portfolios that maximize returns for a given level of risk, while diversification is employed to reduce unsystematic risk. The findings demonstrate that a well-diversified portfolio designed using MPT can significantly improve investment performance compared to investing in individual assets. The study also highlights the practical significance of portfolio optimization in assisting investors, financial analysts, and portfolio managers in making informed investment decisions aligned with their financial objectives and risk tolerance. Overall, the research emphasizes that Modern Portfolio Theory remains a valuable and effective approach for achieving efficient asset allocation and enhancing long-term portfolio performance in dynamic financial markets. Keywords: Portfolio Optimization, Modern Portfolio Theory (MPT), Investment Management, Risk-Return Trade-off, Asset Allocation, Portfolio Diversification, Efficient Frontier.