the potential client comes from...
Most coaches believe that potential clients are coming from two kind of groups.
One group wherein client can afford to pay your coaching fees.
Other group who can't afford to pay your coaching fees.
If we go by this logic, then perhaps writing your coaching fees on your website makes a lot of sense.
If we do so then by this way you never have to deal with second group at all because they will not approach you.
But that's not the case. There exists a third group.
Third group is those people who wouldn't have approached to work with you if they had seen your prices upfront on your website, but because they have spoken with you and they have strike the conversation with you, they're willing to make that investment with you in your coaching.