I have no problem with a CEO being paid whatever the Board of Directors believes that person is worth.
Are CEOs worth that much more?
CEO Pay: 364 Times More Than Workers'
But money does not necessarily buy competence or sense.
The CEO Bought a Yacht? Then it's time to sell.
Haunted Mansion: A study proves that the bigger his house, the worse the CEO.
I think a rational CEO would ask for a healthy and rewarding wage yet not too excessive so that money can be used elsewhere in the institution.
For example, at the very successful and growing soap company Dr. Bronner's, "total compensation of executives is capped at five times that of our lowest-paid position".