Why is BSE falling/rising?

As of 05-Sep, BSE Ltd's stock price is currently at 2,319.60, reflecting an increase of 100.1, or 4.51%. The stock has shown strong performance today, outperforming its sector by 4.02%. Over the past week, it has risen by 10.66%, although it has experienced a slight decline of 2.01% over the past month. The stock has demonstrated impressive long-term growth, with a year-to-date increase of 30.65% and a remarkable 140.71% rise over the last year. The company has consistently delivered positive results, with a 116.05% growth in net profit and strong operating profit growth, which has contributed to its strong buy rating. However, there are concerns regarding its high valuation, as indicated by a price-to-book value of 21.2, suggesting it is trading at a premium compared to its peers.
In the broader market context, BSE Ltd's short-term performance has significantly outpaced the Sensex, which has only increased by 1.29% over the past week. This stark contrast highlights the stock's strong momentum relative to the benchmark. Despite a decline in investor participation, as evidenced by a 12.01% drop in delivery volume, the stock remains liquid enough for trading. The high institutional holdings at 37.03% indicate confidence from larger investors, which may further support the stock's upward trajectory. Overall, while the stock's recent price increase can be attributed to its strong fundamentals and positive market sentiment, the high valuation and declining participation present potential risks that investors should consider.