I study the institution of money. I provide a history of the real bills doctrine in its various
forms through debates with the quantity theory of money. I provide a brief history of
financial regulation in the USA. I use a monetary history of the USA to motivate a search
and matching model of transition from commodity money to fiat. I provide a theoretical
underpinning to the fact that monetary history is a history of commodity money. I extend
my model to consider convertible money, oligarchy, two currencies, money and credit, and
Aztec money.