Why is BSE falling/rising?

As of 09-Oct, BSE Ltd's stock price is rising, currently at 2,330.20, reflecting an increase of 86.0 or 3.83%. The stock has shown strong performance today, outperforming its sector by 3.23%. However, there has been a notable decline in investor participation, with delivery volume falling by 23.97% against the 5-day average. Despite this, the stock has demonstrated impressive returns, with a year-to-date increase of 31.25% and a remarkable 67.17% rise over the past year. The company has consistently reported positive results for the last ten consecutive quarters, with a significant growth in net profit of 116.05% and strong operating profit margins, contributing to its strong buy rating.
In the broader market context, BSE Ltd's short-term return of 11.95% over the past week significantly outpaces the Sensex's return of 1.39%. This indicates that the stock is not only performing well relative to its historical performance but also in comparison to the overall market. The high institutional holdings at 37.03% suggest confidence from sophisticated investors, while the company's strong long-term fundamentals, including a 97.51% CAGR growth in operating profits, further bolster its position. However, the stock's high valuation, reflected in its price-to-book ratio of 21.4, raises concerns about its sustainability in the long term, especially given the recent profit growth of 165.5%.