Two listed insurance companies are facing the decision, to either merge or separate. This raises a question for both parties: Can a fusion be profitable or not. This master thesis deals with the corresponding answer. But in what way can one speak in this case about profitability? A valid question, that elaborates on control theory. In doing so, a barrier can be found which will be analyzed more precisely as a function. Furthermore, a second company is taken into account. Thereby, insurance companies are regarded as both separated and merged. Those two scenarios will be compared. The last part of this thesis critically considers a previously found sufficient condition, selectively compares it with evaluations, and gives the reader an idea of the behavior of the individual variables.