Search

This study develops an optimal insurance contract endogenously and determines the optimal coverage levels with respect to deductible insurance, upper-limit insurance, and proportional coinsurance, and, by assuming that the insured has an S-shaped loss aversion utility, the insured would retain the enormous losses entirely. The representative optimal insurance form is the truncated deductible insurance, where the insured retains all losses once losses exceed a critical level and adopts a particular deductible otherwise. Additionally, the effects of the optimal coverage levels are also examined with respect to benchmark wealth and loss aversion coefficient. Moreover, the efficiencies among various insurances are compared via numerical analysis by assuming that the loss obeys a uniform or log-normal distribution. In addition to optimal insurance, deductible insurance is the most efficient if the benchmark wealth is small and upper-limit insurance if large. In the case of a uniform distribution that has an upper bound, deductible insurance and optimal insurance coincide if benchmark wealth is small. Conversely, deductible insurance is never optimal for an unbounded loss such as a log-normal distribution. [ABSTRACT FROM AUTHOR]

The dynamic portfolio frontier theory in a mean–variance framework previously developed by scholars suffers some limitations. Specifically, the theory assumes the use of the martingale approach, the assumption of a complete market and particular probability distribution of asset returns. Accordingly, under relaxing these limitations, this study develops a calculation process for explicitly deriving the dynamic portfolio frontier and the corresponding dynamic asset allocation. Finally, for comparison, this study provides a numerical example and then draws the dynamic and static portfolio frontiers on the same graph. [ABSTRACT FROM AUTHOR]