论文标题

消费功能的渐近线性和计算效率

Asymptotic Linearity of Consumption Functions and Computational Efficiency

论文作者

Ma, Qingyin, Toda, Alexis Akira

论文摘要

我们证明,如果边际效用定期变化,则最佳储蓄问题中的消耗功能是渐近线性的。我们还通过分析表征了从财富中消耗(MPC)的渐近边缘倾向。我们的结果对于在数值计算消耗功能时获得良好的初始猜测非常有用,并为网格之外的线性外推消耗功能提供了理论上的理由。

We prove that the consumption functions in optimal savings problems are asymptotically linear if the marginal utility is regularly varying. We also analytically characterize the asymptotic marginal propensities to consume (MPCs) out of wealth. Our results are useful for obtaining good initial guesses when numerically computing consumption functions, and provide a theoretical justification for linearly extrapolating consumption functions outside the grid.

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