I don't think that there is a precise point in time when we can say that model is valid (well, it's a model not a law). For example, E. Derman in his article on Model risk describes the verification of model as a iterative process:
It is impossible to avoid errors during model development, especially when they are created under trading floor duress .... So, after the model is built, the developer tests it extensively. Thereafter, other developers “play” with it too. Next, traders who depend on the model for pricing and hedging use it. Finally, it’s released to salespeople. After a suitably long period during which most wrinkles are ironed out, it’s given to appropriate clients. This slow diffusion helps eliminate many risks,
slowly but steadily.
He also describes 6 types possibilities which constitutes model risk here:
- Incorrect model
- Correct model, incorrect solution
- Correct model, inappropriate use
- Badly approximated solution
- Software and hardware bugs
- Unstable data
In addition to that he provides some tips that can be used to avoid model risk and its consequences (to name just few):
- Test complex models in simple cases first
- Test the model’s boundaries
- Don’t ignore small discrepancies