How do tokens get their price?

Lets say I deploy a smart contract now on ethereum network that can be used to create tokens, what is the process that derives a price for said token?

How does that token end up having a price and what influences its volatility?

Edit:

I know it has to do with market forces and interplay with demands...But can you help break it down? and how the technological platform provided by the blockchain makes the market forces to determine the price?

For example I could try and create a token using a centralized database, and I can imagine for that, I would have to build a custom system that uses the asking price and how that changes to determine the price of the token...

But on the blockchain, I assume such custom system is not needed and somehow the blockchain automagically provides a system that makes market forces determine price.

What I am trying to understand is this automagic part that makes this all possible. So will appreciate if someone can help breakdown the whole process. Both from the tech point of view and the market forces point of view. Thanks!