Even if there exists an extensive literature on the modeling of farmers' behavior under risk, actual measurements of the quantitative impact of risk aversion on input use are rare. In this article we use simulated data to quantify the impact of risk aversion on the optimal quantity of input and farmers' welfare when production risk depends on how much of the input is used. The assumptions made on the technology and form of farmers' risk preferences were chosen such that they are fairly representative of crop farming conditions in the US and Western Europe. In our benchmark scenario featuring a traditional expected utility model we find that less than 4% of the optimal pesticide expenditure is driven by risk aversion and that risk induces a decrease in welfare that varies from -1.5% to -3.0% for individuals with moderate to normal risk aversion. We find a stronger impact of risk aversion on quantities of input used when farmers' risk preferences are modeled under the cumulative prospect theory framework. When the reference point is set at the median or maximum profit, and for some levels of the parameters that describe behavior toward losses, the quantity of input used that is driven by risk preferences represents up to 19% of the pesticide expenditure. Acknowledgements: Christophe Bontemps and Céline Nauges acknowledge funding from the French National Research Agency (ANR) under the Investments for the Future (Investissements d'Avenir) program, grant ANR-17-EURE-0010.Our (benchmark) situation is fairly simple: the representative farmer, who is risk averse, uses pesticides to produce some agricultural output (crop). Output is not known with certainty due to the presence of a random and unpredictable shock. In order to make the empirical analysis easy to follow and despite contrasting empirical evidence (e.g.; Pannell 1991; Möhring et al. 2020), we consider pesticides as a risk-decreasing input. i In the traditional Expected Utility (EU) framework, the optimal quantity of a risk-decreasing input used by a risk-averse farmer is above the risk-neutral optimum, since pesticides are used by risk-averse farmers to manage production risk. We compute the share of pesticide expenditure that is used by farmers for self-insurance by comparing the optimal level of input use under a risk neutrality assumption to the optimal level of input use under the assumption that the farmer is risk averse. We also report the change in farmer's welfare induced by risk aversion with respect to the risk-neutrality case. Along the lines of Pannell ( 2006) and Chavas (2019a) welfare is measured by the certainty equivalent, which is defined as the difference between the expected profit and the risk premium. If pesticides were assumed risk increasing instead, then risk-averse farmers would use less of the input to self-insure against production risk. We do not consider this case in the empirical analysis to follow. We argue this is not a major limitation of our work since the main outcome of interest, here the change in input use and welfare ind...