新古典增长模型的一个任意精确的全局闭式近似
An Arbitrarily Precise Global Closed Form Approximation for the Neoclassical Growth Model
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中文总结 AI 辅助
本文针对CARA效用函数的新古典增长模型,提出当贴现率接近人口增长率时任意精确的全局闭式近似,证明消费函数严格凹,并揭示两条收敛路径:前置加载与后置加载。
中文摘要 AI 辅助
我考虑一个具有常数绝对风险厌恶(CARA)效用函数的新古典增长模型,并推导出一个全局闭式近似,当贴现率$\ ho$接近人口增长率$n$时,该近似可任意精确。我利用它来证明消费函数是严格凹的,并且各国可以拥有两条不同的收敛到稳态的路径:前置加载和后置加载。
英文摘要
I consider a neoclassical growth model with a constant absolute risk aversion (CARA) utility function and derive a global closed form approximation that is arbitrarily precise as the discount rate $ρ$ is close to the population growth rate $n$. I use it to show that the consumption function is strictly concave and that countries can have two different paths converging to the steady-state: front-loading and back-loading.
发表机构
- Banque de France(法国银行)
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