If the consumer’s risk aversion behavior varies intertemporally and if the risk aversion coefficient on future consumption becomes very large, the consumer tends to aim at a fixed future consumption target. A by-product is a reinterpretation of subsistence theories of consumption.

We examine a model in which the utility function has been engineered so that it is optimal for consumers to aim for a fixed target level of retirement resources. In this case consumption displays excess sensitivity to current income as well as perfect old age insurance. In an overlapping...