A growing number of studies have been conducted in the sphere of portfolio analysis concerning different approaches for analyzing stocks and outperforming the market. Pioneers in the sphere of portfolio theory like William Sharpe and Harry Markowitz have developed strategies and ratios for portfolio analysis that could generate positive risk-adjusted returns. Thus, this paper will solicit a number of these strategies to endeavor and generate a return that is higher than the market index while considering the expenses that come with buying and selling stocks (transaction costs). Therefore, the purpose of this study is to assess how active investing measures up to passive investing in the sphere of the Swedish stock market. The roadmap to achieve the desired goals set by the authors is to create numerous portfolios on a weekly basis with securities present in the Swedish OMX30 index using the Maximum Sharpe, Maximum M2, Minimum Variance, and Equally Weighted optimizations. Then the significance of the transaction costs will be tested and a comparison with the market index will be made. The results suggest that in the realm of the Swedish stock market, investing in dynamically optimized portfolios based on the maximization of Sharpe Ratio and M2 will generate higher returns in comparison to passively investing in the market index, and the significance of transaction costs varies upon the amount of capital invested in the portfolios.