Why is BSE falling/rising?

As of 06-Oct, BSE Ltd's stock price is rising, currently at 2,217.90, reflecting an increase of 124.5 or 5.95%. The stock has outperformed its sector by 4.74% today, although it is experiencing a decline in investor participation, with a delivery volume drop of 27.69% against the 5-day average. Despite this, the stock has shown strong performance over the past week, gaining 5.75%, and has delivered impressive returns year-to-date at 24.93% and over the past year at 61.94%. The company has demonstrated robust long-term fundamental strength, with a remarkable 97.51% CAGR growth in operating profits and consistent positive results for the last ten quarters, contributing to its strong buy rating.
In the broader market context, while BSE Ltd has outperformed the Sensex by a significant margin in the short term, gaining 5.75% compared to the Sensex's 1.80% over the past week, it has underperformed over the last month with a decline of 4.38% against the Sensex's increase of 1.36%. The stock's high institutional holdings at 37.03% indicate confidence from informed investors, although its valuation appears expensive with a Price to Book Value of 20.4. This premium valuation, coupled with a PEG ratio of 0.3, suggests that while the stock has performed well, it may be trading at a high relative to its earnings growth, which could pose risks for future performance.