Money’s use: the unit of account

As expected, during times of crisis people start critiquing the system.  Most notably I hear a lot about the evil of money. To really understand money we must first understand division of labour, people specialize in different fields, the often cited classic examples of division of labour are professions such as a farmer, butcher or carpenter. This division has allowed humanity to achieve enormous productivity gains(obviously this is a shameful summary). However when these professionals wish to exchange their product or service with another being, they are prone to suffering a transaction or accounting cost. This is because they do not know the value of their good in context to the rest of the world.

This is where the first of three functions of money comes in, in this first post of three I will talk about the first function, the Unit of account:

If the economy has n amount of goods or services, in an economy without a unit of account, the number of prices is denoted by:

Whilst in an economy with a unit of account, the number of prices around is merely:

So if the economy has seven goods, Beef, Carrots, Chairs, Pants, Chimay(Belgian beer), Water and Ipads. There are possible 21 possible combinations. These are:

Beef-Carrots, Beef-Chairs, Beef-pants, Beef-Chimay, Beef-Water, Beef-Ipads, Carrots-Chairs, Carrots-Pants, Carrots-Chimay, Carrots-Water, Carrots-Ipads, Chairs-pants, Chairs-Chimay, Chairs-Water, Chairs-Ipads, Pants-Chimay, Pants-Water, Pants-Ipads, Chimay-water, Chimay-Ipads, Water-Ipads.

The reason its n-1 and not n is because you assume they will use any one of these goods as a unit of exchange. For instance you could make chairs the unit of account, and everyone would agree to price their goods in chairs, so if the brewer wanted to buy an ipad, he would bring like 50 chairs to Steve Jobs(may he rest in peace) and exchange it for an Ipad. So now you only need to know six prices these are:

chairs to beef, chairs to Chimay, chairs to carrots, chairs to pants, chairs to water, and chairs to ipads.

It’s very troublesome to carry around all those chairs, what about something valuable but small then? Well maybe microprocessors? Well then how would you buy water? You might be forced to buy it by the tonne. If you try to add another object for less valuable transactions then the number of prices you need to know doubles(+ the exchange with the first unit of account).

So a convenient way to do this is to just have contracts entitling you to a certain value. In fact that’s what money IS, in the olden days bank notes were something you could literally go to the bank and redeem for gold, but even then nobody did because you could conduct all this business without ever having to lay a hand on the gold.

Anyways even though you’ve simplified the process of knowing a little, it’s not sufficient because in an economy with so many products as our own it’s still very troublesome to know all the prices.