Denmark is trying to silence currency speculators as its government and central bank insist it won't follow Switzerland in severing its euro ties.
"Circumstances significantly different from Denmark's" were behind the Swiss National Bank's decision, said Danish Economy Minister Morten Oestergaard.
"Any comparison between Denmark and Switzerland is impossible."
The comments followed a surprise decision by the Danish central bank to cut its deposit rate by 15 points to minus 0.2 per cent, matching a record low set during the darkest hours of Europe's debt crisis in 2012.
Denmark will probably deliver another cut on Friday, after the European Central Bank unveils the details of its bond-purchase programme, according to Danske Bank.