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# 数学代写|数值方法作业代写numerical methods代考|Why Are Economic Growth Models Interesting?

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## 数学代写|数值方法作业代写numerical methods代考|Microeconomic Foundations of Macroeconomics

Growth models try to capture interesting structural, dynamic features of actual economies. As shown throughout the book, growth models establish implicit relationships between decisions made by economic agents at time $t$, variables determined in the past, which are known when time $t$ decisions are made, and current and future exogenous and policy variables. In the case of stochastic models, these relationships will also include expectations of functions of future variables. In turn, these relationships generally have specific implications regarding the rate of growth of the economy. Hence, growth models can be summarized in the form of dynamic relationships involving variables and expectations of functions at different points in time.

## 数学代写|数值方法作业代写numerical methods代考|Lucas’ Critique on Economic Policy Evaluation

The microeconomic foundations of macroeconomic models in general, and growth models in particular, make explicit the optimization behavior that is supposed to underlie the consumption, investment, and other equations that form part of a structural macroeconomic model. But possibly the main reason to work with the type of models we consider throughout the book is Lucas’ critique. Lucas’ [25] work was instrumental in pointing out how, under rational expectations, part of the structure of a macroeconomic model depends on the views of private agents on the policy rules being followed by the economic authority now and in the future. The fact that it is agents’ beliefs that matter, more than the economic policy actually being implemented, suggested the importance of the credibility on policy makers, an issue that has been fully incorporated in the way how policy makers interact with the public nowadays. Under the rational expectations’ view, a policy intervention will only have the desired effects if it is announced and fully understood by private agents.

## 数学代写|数值方法作业代写NUMERICAL METHODS代考|A Brief Overview of Developments on Growth Theory

Let us now briefly summarize some of the main stages in the development of the theory of economic growth, to place these issues in perspective, as well as to advance the structure of his textbook. ${ }^{33}$ Growth Theory started well before Lucas’ criticism on policy evaluation, and it was initially conceived to gain some insight into the determinants of the rate of growth of actual economies. The theory of economic growth was initially developed at a purely theoretical level, with just a few empirical implications that could attract the interest of researchers. These were mainly related to the implications of exogenous growth models regarding the rate of growth of an economy as well as the convergence in income per capita among a set of countries, which were soon put to test through regression analysis. The neoclassical exogenous growth model with a constant savings rate, introduced in the seminal papers of Solow 39 and Swan 41 incorporated a constant returns to scale assumption in the production of the final good, which was shown to imply zero long-run growth for per-capita variables. This model is able to explain positive long-term growth in per-capita variables only through some type of exogenous growth in productivity. Only that way could the model be made consistent with some regularities observed in actual data. ${ }^{34}$ Exogenous growth refers to the fact that such growth is not being produced by either the decisions made by private economic agents, or by any policy intervention. This model is analyzed in Chap. 2 in this textbook, where the main properties of the long-run equilibrium steady-state and the transition paths are characterized.

## Matlab代写

MATLAB 是一种用于技术计算的高性能语言。它将计算、可视化和编程集成在一个易于使用的环境中，其中问题和解决方案以熟悉的数学符号表示。典型用途包括：数学和计算算法开发建模、仿真和原型制作数据分析、探索和可视化科学和工程图形应用程序开发，包括图形用户界面构建MATLAB 是一个交互式系统，其基本数据元素是一个不需要维度的数组。这使您可以解决许多技术计算问题，尤其是那些具有矩阵和向量公式的问题，而只需用 C 或 Fortran 等标量非交互式语言编写程序所需的时间的一小部分。MATLAB 名称代表矩阵实验室。MATLAB 最初的编写目的是提供对由 LINPACK 和 EISPACK 项目开发的矩阵软件的轻松访问，这两个项目共同代表了矩阵计算软件的最新技术。MATLAB 经过多年的发展，得到了许多用户的投入。在大学环境中，它是数学、工程和科学入门和高级课程的标准教学工具。在工业领域，MATLAB 是高效研究、开发和分析的首选工具。MATLAB 具有一系列称为工具箱的特定于应用程序的解决方案。对于大多数 MATLAB 用户来说非常重要，工具箱允许您学习应用专业技术。工具箱是 MATLAB 函数（M 文件）的综合集合，可扩展 MATLAB 环境以解决特定类别的问题。可用工具箱的领域包括信号处理、控制系统、神经网络、模糊逻辑、小波、仿真等。