When I was doing more project work I outright refused to give estimates, explaining that I could come up with a random figure that's so low they won't believe it or so high they won't like it, and in any case the figure would have nothing to do with when the project would be complete. Instead I offered broad time ranges that would narrow down to more accurate ones as work progressed. The managers who had to report th…
Well, that is an estimate according to managers who actually understand what they're doing ;-)