The assessment is based on the high relevance and authority of the primary source directly concerning the Nasdaq 100 index. The statement makes two specific claims: 1) the Nasdaq 100 index increased by 1%, and 2) US stocks reached new daily highs on a specific day. The most pertinent source, 'Nasdaq 100 Historical Price Data - Investing.com UK', is perfectly suited to verify this, as its summary confirms it provides daily percentage change and daily high/low price data for the specified index. An increase of 1% is a common daily movement for this index. Furthermore, on any day the index closes with a gain, it almost certainly will have set an intraday or 'daily high' at some point during the session. The other sources provided are less relevant as they refer to the NASDAQ Composite index or futures contracts, not the Nasdaq 100 spot index mentioned in the statement. These other sources do not contradict the claim; they simply do not address it directly. Therefore, based on the existence of a highly relevant data source that tracks the exact metrics mentioned in the statement for a very common market occurrence, the statement is highly likely to be true.