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A Study on Deductible Insurance Demand: Premium Conditions for No Coverage, Partial Coverage and Full Coverage

  • Journal of Insurance and Finance
  • 2017, 28(2), pp.59-97
  • DOI : 10.23842/jif.2017.28.2.003
  • Publisher : Korea Insurance Research Institute
  • Research Area : Social Science > Business Management
  • Received : February 7, 2017
  • Accepted : May 18, 2017
  • Published : May 31, 2017

Hong,Soon-Koo 1

1서울과학기술대학교

Accredited

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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