Jindapon and Neilson (2007) propose a comparative statics approach to n th-degree risk aversion. They consider a decision problem where an agent incurs either a monetary or a utility cost to reduce the n th-degree risk in his payoff. They find that, when the cost is monetary, one agent always invests more in risk reduction than another if and only if the former is n th-degree Ross more risk averse than the latter, but this is not the case when the cost takes the form of utility reductions. We show that, within an appropriately normalized risk-reducing problem with a utility cost, individuals’ relative optimal risk-reducing efforts are also governed by the n th-degree Ross more risk aversion.