I studied in the States and some people at my college were being paid $700/mo. on top of dorms if they took at least a handful of classes.
If poverty is inherited it's because of a negative culture and worldview is passed down, not because of money.
Three or more if you count more realistic viewpoints.
> Two kinds of people in this system. One of them thinks if you work hard you can climb your way out of poverty through your own self determination and hard work.
Self determination and hard work is necessary for success but it doesn't mean much without opportunity. Opportunity is unevenly distributed.
What one person see as value, which creates someone else's opportunity, is often determined by subjective social and cultural factors and isn't always objective or rational.
On a more narrow level -- if people have to worry about food on the table, the stress itself causes IQ to drop, also in experiments.
Of course there are exceptions, but on a statistical level, poverty is inherited -- because of what you mention, not in spite of it!