Money folding uses another kind of paper :) :
the sheet of paper is replaced by a money bill (ideal to give an original tip in a restaurant).

Usually practice with a dollar, here are 2 examples :

These 2 pictures were taken from Mark's Origami Olio

But you can also fold this model on a "classic" sheet of paper (see below), sizes are 7 x 3.

source : OUSA Convention 1992 by Edwin Corrie