Why does yield on UK gov bond go up when stock markets down?, Macroeconomics

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Doesn''t money move out of stock markets into bond? If more people buy bonds does this not push bond prices up and yields down? My question is about this quote from the Gardian today "The rout hit yields on UK government bonds which hit their highest level since October 2011 in what analysts said was one of the most rapid moves ever witnessed on the market. Yields, which move inversely to price, on 10-year gilts have now risen a full percentage point to edge towards 2.6% in just two months, a rapid pace of change in the potential cost of government borrowing that could in turn increase the price at which companies and households borrow."

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