Here is how to make an origami coin purse.  It also doubles as a
letterfold, although sadly not mail-legal, at least in the US.

1.  Start with the paper lengthwise vertical.
2.  Valley fold lengthwise and unfold.
3.  Fold top corners to middle.
4.  Valley fold bottom to top.
5.  Fold vertical edges to middle.
6.  Fold top flap into bottom flap.
7.  Fold triangle into pocket.