It has been really many years since I played the game but cannot remember any stock market either, but you can trade with traders and the AI factions and the prices do move up and down a lot.

There isn't a stock market?

I've played the game recently and know it fairly well.

There is a commodities market however, where you can get some extra ores too on the occasion and those necessary medical supplies and the illegal APV-warhead Man-Eater and Bug-Hunter missiles.

There are also common goods to be bought low and sold high, like alien foods and precious stones.

All of this is accessible by one of the buttons at bottom right of the screen.

Yes, but that isn't typically what one assumes by the idea of a "stock" market. That implies the trade of credit of value of a company, a laughably insane concept that should have died 50 years ago.

Also, I award you the Necropants of thread revival.