Your last statement goes against basically all of human history. Economy is the exchange of value (i.e. trade). Trade has always existed, and for nearly all of human history, it existed outside of the state (since there were no states). Even during the age when states began to form, loads of trade took place outside the state's borders (i.e. likely as much trade took place on the silk road as it did at each terminus).

States can certainly make trade easier and safer (though it doesn't always do so), but to say trade cannot exist without the state is simply wrong.