The utility premium of Friedman and Savage, comparative risk aversion, and comparative prudence

We show that the utility premium of Friedman and Savage can be used to explain comparative risk aversion and comparative prudence. More precisely, we show that the greater the risk aversion measure, the greater a risk's utility premium normalized by the marginal utility and that the greater the prudence measure, the greater the utility premium for disaggregating a certain loss of wealth and a zero-mean risk normalized by the utility function's second derivative