This paper analyses the potential impacts of a hypothetical implementation of the Income Stabilisation Tool (IST) in France for the field crops sector. The IST is a risk management tool available within the 2014–2020 Common Agricultural Policy (CAP) to support farmers facing a severe drop in their incomes. This analysis was conducted using a farm‐level model relying on expected utility theory and based on positive mathematical programming with risk. The model was applied to a sample of 1375 field crop farms in France derived from Farm Accountancy Data Network (FADN) data. Simulation results show that the uptake rate of the tool is relatively low, less than 37% in all scenarios. It is strongly dependent on CAP public support and on how much premium farmers have to pay. Highest uptake rates are observed in farms specialising in Other Field Crops, such as potatoes, pulses and sugar beet, and farms located in regions highly exposed to climatic risks. Previous experience with insurance favours the acceptance of the IST. Model results also show that the IST improves adopters' income and reduces income inequality. However, its impacts on crop diversity, measured by the Shannon index, are negative.