We consider the meaning of the option price, commonly acknowledged as the preferred ex ante welfare measure, in the rank-dependent expected utility (RDEU) framework. The importance of this pertains to performing benefit-cost analysis when RDEU maximizers are prevalent in society.

Prudence probability premium is defined in the risk apportionment model (Eeckhoudt and Schlesinger, 2006). For an increase in downside risk, we show sufficient conditions for comparing the probability premiums between two individuals when the apportioned risk is small and large.

We show that there is a class of risk lovers who optimally choose a positive level of self-protection investment. In most cases, a risk lover increases his self-protection investment as he becomes less downside risk averse.