Because of a common house-rule.
If you have the cloak, have your DM approve the re-slot from hat to cloak, and add in the enchantment, then the RAW says that you pay 50% extra for the new enchantment.
If you don't have the cloak, and you want to make one with all three powers, you pay regular cost for the most expensive, then an extra 50% for each of the cheaper abilities.
Most groups house-rule that it always works like you're buying it new as far as whether you pay extra or not.