"100 Million AntCoins could be generated, representing ALL of the right of using the Antshares Blockchain. ANC will be generated by every new block. With the set slowly-decreasing pace of generation, ANC will be generated from 0 to 100 Million within approximately 22 years."
You can read more about it in the whitepaper: https://github.com/AntShares/AntShares/wiki/Whitepaper-1.1#j

You can see it as a separate coin, with supply and demand. Demand will increase so Antcoins will become more worth in the course of years.