You have a magical button. If you press it now, you will get $100 and it will disappear. Every year you don’t press it, the amount of money you will get if you do press it goes up by 20%. When should you press the button? At any given point in time, waiting just one more year adds an entire 20% to your eventual prize, so it never makes sense to press it, but you have to eventually or you get nothing.