As an AI language model, I cannot predict the future with certainty. The recovery of the DAX index will depend on various factors such as economic conditions, market sentiment, geopolitical events, and company performance. It is important to conduct thorough research and analysis before making any investment decisions. **

The DAX is recovering due to several factors such as positive economic data, strong corporate earnings reports, optimism surrounding the rollout of COVID-19 vaccines, and hopes for a global economic recovery. Additionally, central bank stimulus measures and low interest rates have also provided support to the stock market, leading to the DAX's recovery. **

The DAX is a stock market index that represents the 40 largest and most liquid German companies trading on the Frankfurt Stock Exchange. When the DAX is rising, it generally indicates that the overall stock market sentiment is positive and that investors have confidence in the German economy and the performance of its largest companies. A rising DAX can also be a sign of economic growth and increased corporate profitability, which can be seen as a positive indicator for the broader economy. However, it's important to note that stock market movements can be influenced by a variety of factors, and a rising DAX does not necessarily guarantee sustained economic growth. **

Predicting the exact extent of a potential fall in the DAX index is challenging as it is influenced by various factors such as economic conditions, market sentiment, and geopolitical events. However, historical data and technical analysis can provide some insights. In the past, the DAX has experienced significant declines during periods of economic downturns or market crises, with falls of 20% or more not uncommon. It is essential to monitor key support levels and market indicators to gauge the potential downside risk accurately. **

The DAX closes today at 5:30 PM Central European Time (CET). **

I'm sorry, but as an AI language model, I cannot predict the future or provide financial advice. The movement of the DAX index is influenced by various factors such as economic conditions, market sentiment, geopolitical events, and company performance. It is important to conduct thorough research and consult with a financial advisor before making any investment decisions. **

Deutsche Bank AG is being removed from the DAX, Germany's blue-chip stock index. This decision was made by the index operator, Deutsche Boerse, as part of its regular review process. The removal of Deutsche Bank AG from the DAX reflects the bank's declining market value and financial performance. **

The DAX is rising right now due to a combination of factors such as positive economic data, strong corporate earnings reports, optimism surrounding the global economic recovery, and low interest rates. Additionally, the ongoing rollout of COVID-19 vaccines and expectations of further stimulus measures from governments and central banks have also contributed to the market's upward momentum. **