The moment the software gets to interact with the world, whether via robotics or handling a mouse button event or some other type of sensor, we no longer fully understand or control its behavior.
Pure computation (the dream of functional programming) is fully understandable and entirely predictable. When you add interaction, you add both randomness but also time - when something happens can lead to different outcomes - and this can rapidly cause predictability to spiral away from us.
It is very easily possible with normal currencies too. Obviously banks will need a human, or a legal entity to be the “owner” of the account but it is very easy to imagine someone hooking up an AI with an account to automate some business. Maybe initially it would involve a lot of handholding from a human, so the AI doesn’t have to learn to hustle from scratch, but if the money is flowing in and the AI is earning more money than it is spending it is easy to imagine that the human checks out and doesn’t double check ever single service or purchase the AI does.