On the concavity of the consumption function
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 WebCarroll and Kimball (1996) prove that the consumption function is concave if infinitely-lived risk-averse households have a utility function which exhibits Hyperbolic Absolute Risk Aversion (HARA), face income uncertainty, and are prudent. However, the empirical evidence is inconclusive about the importance of income uncertainty for households.
On the concavity of the consumption function
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WebConcavity relates to the rate of change of a function's derivative. A function f f is concave up (or upwards) where the derivative f' f ′ is increasing. This is equivalent to the … WebWith the assumption of the concavity of absolute risk tolerance, the concavity of the consumption function has been proved. This result significantly broadens the …
Websharing function ensues in a straightforward way. Then, parametric global concavity tests are applied against global parametric alternatives. 2 Framework When modeling household consumption behaviour, collective rationnality is a reasonnable assumption to make (Chiappori, 1988; Apps and Rees, 1988; Chiappori and Ekeland, 2006). Rank tests, realized WebDownloadable (with restrictions)! Carroll and Kimball (1996) have shown that, in the class of utility functions that are strictly increasing, strictly concave, and have nonnegative third derivatives, hyperbolic absolute risk aversion (HARA) is sufficient for the concavity of consumption functions in general consumption-saving problems. This paper shows …
Web28 de set. de 2024 · Download PDF Abstract: Carroll and Kimball (1996) have shown that, in the class of utility functions that are strictly increasing, strictly concave, and have nonnegative third derivatives, hyperbolic absolute risk aversion (HARA) is sufficient for the concavity of consumption functions in general consumption-saving problems. This … Web2 de ago. de 2024 · More or less, yes. Making the right assumption on the shape of the utility function allows you to prove existence or uniqueness of the equilibrium. The exact assumption you need depends on what exactly you are trying to prove and how general you want your result to be. In the case of concavity, it also makes the equilibrium easier to …
WebDownload Free PDF. On the Concavity of the Consumption Function Christopher D. Carroll Department of Economics The Johns Hopkins University Baltimore, MD 21218 …
WebOn the Concavity of Consumption Function under Habit Formation⋆ Haoyu Liua,∗ aGuanghua School of Management, Peking University, 5 Yiheyuan Road, Haidian … fix snapchat camera qualityWeb27 de set. de 2007 · Later, it will be shown how closely these functions relate to log-utility and how the latter may be regarded as a special case. In particular, the algorithms that are given later will handle all these functions with minimal modification. Their concavity also guarantees that an optimal solution can be found by gradient ascent. 2.2. fix snagged threadWebliquidity constraints generate a concavity in the consumption function. However, ana-lytics of the concavity due to liquidity constraints has remained unknown until recently. Carroll and Kimball (2001) made the –rst important attempt in setting an analytical foundation and showed the concavity of the consumption function when the … can new iphone se charge wirelesslyWebCarroll and Kimball (1996) prove that the consumption function is concave if infinitely-lived risk-averse households have a utility function which exhibits Hyperbolic Absolute Risk … can new jersey police smoke weedWebWe consider an optimal investment problem to maximize expected utility of the terminal wealth, in an illiquid market with search frictions and transaction costs. In the market model, an investor’s attempt of transaction is successful only at arrival times of a Poisson process, and the investor pays proportional transaction costs when the transaction is successful. … cannewitzWeb28 de jul. de 2024 · Consumption Function: The consumption function, or Keynesian consumption function, is an economic formula representing the functional relationship between total consumption and gross national ... cannewitz mapsWeb1 de jun. de 2024 · Contrary to the results of a standard consumption-saving model with time-separable utility, we show that the consumer’s consumption function can be convex when young and becomes concave when old. These results advance our understanding of the (non-)concavity of consumption function when preferences are not time-separable. fix snapchat crooked camera