Example 1: Recovery Math
A paper equity curve drops from $50,000 to $45,000. The loss is 10%, but recovery is not 10% from the new balance. The account needs $5,000 on a $45,000 base, which is about 11.1%. If the drawdown is 20%, the recovery hurdle becomes 25%. This is why small controlled losses matter: the deeper the hole, the harder the climb back to the same starting point.