Example 1: The recovery gap at three depths
A 10 percent drawdown needs about 11 percent to recover; a 25 percent drawdown needs 33 percent; a 50 percent drawdown needs 100 percent. The loss rose by a factor of five from the first to the third, but the required recovery rose by a factor of nine. The gap between what you lost and what you must make back widens faster than the loss itself, which is exactly why the third case is so much more dangerous than it looks.