Why is BSE falling/rising?

As of 11-Aug, BSE Ltd's stock price is currently at 2,396.30, reflecting a slight increase of 3.4 points or 0.14%. The stock has shown mixed performance recently, underperforming its sector by 0.55% today. Over the past week, it has declined by 3.63%, but it has gained 1.06% over the last month. Notably, the stock has demonstrated strong long-term growth, with a remarkable year-to-date return of 34.97% and an impressive annual return of 171.19%. The company has reported outstanding financial results, including a 116.05% increase in net profit and consistent positive results for the last ten quarters, which contribute to its strong buy rating. However, it is trading at a premium valuation compared to its peers, which may pose a risk to some investors. In the broader market context, BSE Ltd's recent performance contrasts with the Sensex, which has seen a decline of 0.56% over the past week and a more significant drop of 2.25% over the last month. This indicates that while BSE Ltd has faced some short-term challenges, its overall performance remains robust compared to the benchmark. The stock's high institutional holdings at 37.03% suggest confidence from larger investors, which can provide stability. However, the stock's very expensive valuation, indicated by a high price-to-book ratio, could be a concern for potential investors, especially given the significant returns it has generated relative to its profit growth.