This paper presents an empirical analysis of the link between health insurance coverage and health care expenditures. We use claims data for over 60 000 adult individuals covered by a major Swiss Health Insurance Fund, followed for four years. In the Swiss health insurance system, each individual can choose between five plans, corresponding to different levels of annual deductible. The data show a strong positive correlation between coverage and expenditure. We provide a simple method to separate selection effects (due to individual choice of coverage) and incentive effects ("moral hazard"). The method only requires that there exists an observable variable: 1. correlated with the unobservable health status; 2. not affected by incentives. The analysis of mortality rates indicates important selection effects, which is confirmed by the data on inpatient care. However, the positive correlation between coverage and outpatient expenditure is not fully explained by selection effects, and moral hazard effects are of the same order of magnitude. [Authors]