자기부담금 보험계약의 보험수요에 관한 연구: 무보험, 일부보험 및 전부보험의 보험료 조건
A Study on Deductible Insurance Demand: Premium Conditions for No Coverage, Partial Coverage and Full Coverage
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초록
일반적으로 자기부담금 보험계약에선, 비례보험계약과는 달리, 목적함수인 기대효용이 결정변수인 자기부담금 수준에 대해 ‘엄격한 오목함수’가 되지 못한다. 이 연구는 자기부담금 보험계약에서, 부가보험료가 순보험료에 비례⋅책정되는 경우, 기대효용함수가 국지적 볼록성을 수반하는 ‘엄격한 준오목함수’임을 확인한 다음, 전부보험, 일부보험 또는 무보험이 최적이 되는 각각의 보험료조건을 명시적인 형태로 제시한다. 또한 각 최적보험의 조건을 경제학적으로 해석하고, 부의 효과에 관한 비교정태분석도 수행한다. 본 연구는, Schlesinger(1981) 등 기존의 연구와는 달리, 최적보험의 보험료조건 및 비교정태분석의 과정에서 비례적 부가보험료 이외에는 어떤 추가적인 가정도 요구하지 않는다.
Abstract
It is well-known in the insurance economics that the objective function with expected utility may not be concave in the deductible level purchased by the insured, unlike coinsurance case. First, we show that given the proportional loading, expected utility function with respect to deductible level is strictly quasi-concave. In addition, as our main contribution, we establish a set of premium conditions under which a risk-averse individual selects full, partial or no coverage level, and gives an intuitive economic interpretation. Moreover, we also consider the comparative statics effects of changes in risk aversion and in wealth. In comparison with the existing literature; for example, Schlesinger (1981), all the findings of this article are obtained only by proportional loading assumption without further restriction on the expected utility function.
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