[imtringued]

The central bank doesn't really do "inequality" in the sense that getting rid of the central bank will get rid of the inequality. It can only amplify or maintain a trend. The fact that earning money from stocks is profitable than earning money from work is something that can be easily explained by the tax system.

[whakim]

I agree with you that central banks don't have the tools to solve inequality in the long run (as you point out, the tax system and spending does). I'm simply noting that we've collectively invested central banks with magical powers because of our unwillingness to actually discuss taxation.