Some of them are slightly conflicting objectives, in reality … I think the nearest thing I can come up with, for that list of criteria, is NQ futures (the e-mini-Nasdaq).
It’s regulated and traded on an exchange.
It moves “how the Nasdaq moves”, really … so you [I]could[/I] call that “fluctuations for reasons pertaining to fundamentals”, I suppose, but it’s an index, not an individual share, so it’s certainly not “wild” or anything like it. It moves about more than its “big sister”, the “ES” (e-mini S&P futures), but that’s what some people prefer about it, and anyway the ES is $12.50 per tick rather than $5 per tick).
You can trade it either long or short. You need a few thousand deposit. But hey: surprise surprise - obviously you’re going to need a few thousand before you can trade anything that moves at $5 per tick, anyway? If you were trading spot forex, say EUR/USD, and wanted your position-size to be $5 per pip, you’d be trading half a full lot and would need a decent deposit to trade in that size, even allowing for leverage?
It has high liquidity. Ok, not as high as ES, but high enough for hedge funds, anyway - so clearly high enough for you and me.
It’s $5 per tick.
How did it do, on your criteria?
My [I]guess[/I] is that if it doesn’t “pass”, then you’re maybe not, realistically, going to find anything that will.
In summary, then, I don’t know if NQ futures are “just right” for you, but I think it might not be easy to find something “righter”.
(There’s also “YM”, the e-mini Russell, and one or two other things that move at $5 per tick, but they’re not as good as NQ, on your criteria, in my opinion. And there are one or two e-mini futures options that are even a little less than $5 per tick, but their liquidity is [I][U]poor[/U][/I], slippage is high, and so on. They’re probably not relevant to you.)