Harvard isn't just an undergraduate program. It has the first or second ranked undergraduate, law, business, public policy, economics, and medical school -- attend any of those, and you can get on this list.
Also Harvard's hegemony on this list is less of a reflection of its current position than its position decades ago, when the world's rich (who disproportionally are at the end of their careers) were educated.
I was just going to say that! Harvard Business School and Harvard Law School are far more famous than a lot of similar institutions, and I've heard that the most famous (and well-paying) consulting and law firms tend to recruit heavily from them. "He went to Harvard Business School" is a pretty good answer to "Why should we pay a consulting firm a fortune to send us a young kid with no experience to tell us how to run our company?"
[Added: Solipsist made good comments that partially account for the phenomenon, and Douglas_Knight pointed out that the figure of $200m+ below should be $30m+]
This article reports that Harvard has 2,964 alumni worth $200+ million, with a total wealth of $622 billion. These figures are staggering:
Note that Bill Gates "only" has ~$75 billion and that Mark Zuckerberg "only" has ~$30 billion, so that they don't account for Harvard's decisive advantage over other universities.
What is going on here? Why would Harvard come out ahead by such a large margin? Its acceptance rate is smaller than those of Stanford, Yale and Princeton, but by no more than 25%. Moreover, this has been true historically
One can ask a similar question of University of Pennsylvania, which is significantly less selective than Yale and Princeton, but has a decisive advantage over them.
Some possible explanations for the discrepancy:
Regardless of which of these explanations hold, there remains a question of why they would hold.
Is Harvard a better choice than other universities for students who aspire to be wealthy than other top schools?