There is another point that I think is as important: You should expect the unexpected in this business; expect the extreme. Don’t think in terms of boundaries that limit what the market might do. If there is any lesson I have learned in the nearly twenty years that I’ve been in this business, it is that the unexpected and the impossible happen every now and then
I tell students that even if they don't like math right now, they can use math as a brain-sharpening tool - a tool that not only builds the foundation for a great career, but that also builds self-confidence, no matter what they choose to do with their lives.