Active management funds are associated with higher transaction costs, which is something that has been acknowledged for a long time. The question is whether these costs can compensate with a higher return. This paper investigates how two active strategies, momentum and growth investing, have performed in relation to a passive index. To test this, we investigated the Frankfurt stock market during 2005-2020 on stocks from the automobile sector. By doing this, the purpose was investigated whether growth and momentum has had a higher risk-adjusted return than the benchmark index during the 15 years of observation. The result showed that both growth and momentum performed better than a passive index fund, despite its costly variables. However, the risk adjusted return was not significant higher. This study includes transaction costs in its calculation, which other studies ignore and focus on one industry with a consistent benchmark index for the same industry. By doing this, we believe that the test will be more accurate, and avoid potential industry effects on return and hopefully contribute with new thoughts on the subject.