The pound, for example, fell to 2.788 marks from 2.795.
The dollar has fallen to just below 1.80 marks, from more than 3.20 marks in early 1986.
The pound continued to slide in value, falling to 2.47 German marks, another all-time low.
The dollar also fell against the mark, to 1.4435 marks from 1.4622 marks.
He had expected the dollar to fall to around 112 yen and 1.61 marks.
The dollar sank to another low against the German mark, falling below 1.40 for the first time to 1.3903 marks in late trading.
It fell to 1.9020 marks, from 1.9094 on Tuesday.
The pound fell to 2.8740 marks from 2.8812 marks in Europe.
The dollar rose to 84.65 yen, but fell to 1.4055 marks.
The dollar also fell to 1.6560 West German marks from 1.6740.