Web1 de mai. de 2024 · If the consumption function in Lemma 1 is concave for arbitrary distribution of (β, R, Y), then u exhibits constant relative risk aversion (CRRA). Conversely, if u is CRRA, then the consumption function of the consumption-saving problem (1) is concave. Proof. Let c, s be the consumption and saving functions. WebDownloadable! This paper demonstrates the concavity of the consumption function of infinitely living households under liquidity constraints who are not prudent - i.e. with a quadratic utility. The concavity of the consumption function is closely related to the 3-convexity of the value function.
Necessity of Hyperbolic Absolute Risk Aversion for the Concavity …
WebNOTES. 1 For the concavity of the consumption function generated by prudence, see Carroll and Kimball [4].. 2 Uncertainty in rate-of-return or labor income can be easily introduced in the model set-up, but will not alter the main implication. Indeed, since the very message of this paper is the concavity of consumption function under deterministic … WebOn the concavity of the consumption function. On the concavity of the consumption function. Miles Kimball. 1995, Research Papers in Economics. Continue Reading … imc hong kong management services limited
An approximate consumption function - Research Papers in …
WebWe show that if labor income is stochastic, the consumption function will be concave for many commonly used utility functions, and if both labor income and capital income are stochastic, the consumption function is concave for an even broader group of utility … WebI. On the Concavity of the Consumption Function Unfortunately, the theoretical conditions un-der which an economy composed of many in-dividuals will behave exactly as though it contains a single representative agent ("exact aggregation holds") are very stringent. The most problematic requirement is that consumers Web1 de dez. de 2024 · Carroll (1992) observes that many of the differences can be attributed to the concavity of the consumption function under uncertainty, but he does not describe the conditions under which the ... list of king henry viii wives in order