The actuarially fair premium reduction in case of a deductible relative to full insurance is affected by: (1) out-of-pocket payments, (2) moral hazard, (3) administrative costs, and, in case of a voluntary deductible, (4) adverse selection. Both the partial effects and the total effect of these factors are analyzed. Moral hazard and adverse selection appear to have a substantial effect on the expected health care costs above a deductible but a small effect on the expected out-of-pocket expenditure. A premium model indicates that for a broad range of deductible amounts the actuarially fair premium reduction exceeds the deductible.
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