Who is better between Leader, Coach and Manager?

You can not make an objective comparison between the leader, the coach and the manager

Each of these three people plays their own roles that are different from those of others. And each of them must be the best in his field.

The manager plans, establishes budgets, evaluates investments and expenses, organizes, controls, measures and rectifies deviations.

The leader creates an inspiring vision, designs a strategy, drives and motivates quality and self-control.

 I would Prefer the better leader is Manager