Currency as Substitute
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For example, if you have one barrel of wheat, and you want a cow, without currency you have to find someone who not only has a cow, but also wants a barrel of wheat and will agree to the trade.
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Let's say your neighbor fits the bill -- he has a cow and wants a barrel of wheat. What if a barrel of wheat isn't worth an entire cow? Your neighbor can't exactly make change by giving you part of a cow.
Now, if you live in a place where round, stamped coins are widely considered to have a certain value and can be exchanged for other things, then you just have to find someone who needs wheat. That person will take the wheat in exchange for an agreed-upon amount of coins, which you can later use to buy a cow from someone else.
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This is not to mention the fact that carrying a handful of coins is much easier than lugging around a barrel of grain or a cow with you whenever you need to make a trade.



