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Research PaperResearchia:202609.19026

An Arbitrarily Precise Global Closed Form Approximation for the Neoclassical Growth Model

Jordan Roulleau-Pasdeloup

Abstract

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 $ฯ$ 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. --- Source: arXiv:2609.20405v1 - http://arxiv.org/abs/2609.20405v1 PDF: http...

Submitted: September 19, 2026Subjects: Economics; Environmental Science

Description / Details

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 ฯฯ is close to the population growth rate nn. 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.


Source: arXiv:2609.20405v1 - http://arxiv.org/abs/2609.20405v1 PDF: https://arxiv.org/pdf/2609.20405v1 Original Link: http://arxiv.org/abs/2609.20405v1

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Date:
Sep 19, 2026
Topic:
Environmental Science
Area:
Economics
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