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Questions tagged [solow]

Referring to the Solow-Swan model of economic growth.

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Looking for help with Solow Model Question [closed]

The question is this: Suppose there is a production function of $Q=F(K, L)=\sqrt{K}\sqrt{L}$. Suppose that MPC=0.8 and the labor force is growing at a rate of 0.05 per year. Also labor force ...
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12 views

Mankiw, Romer & Weil: Estimating Implied Alpha & Beta

I am replicating Mankiw, Romer & Weil (1992) with data from 1995 through 2015, and I wondering how they estimated the implied alpha and beta. Thank you, For those curious, the paper can be found....
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29 views

Log-linearization about steady state

I am working on a Solow model where: $$ y_{t} = k_{t}^{\alpha}(Z_{t})^{1-\alpha} $$ $$ y^{*} = (\frac{s}{n+\delta})^{\frac{\alpha}{1-\alpha}} Z $$ $$ k^{*} = (\frac{s}{n+\delta})^{\frac{1}{1-\alpha}}...
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19 views

Different explanation for economic growth, depending on the length of the period considered

I'm being introduced to macroeconomics, and a colleague asked why do we say that in the short term the productivity of a country is determined by the "demand side" (IS/LM model) while in the long run ...
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1answer
30 views

Data Set for Mankiw, Romer, and Weil 1992

I am trying to replicate the results of Mankiw, Romer and Weil 1992, and cannot seem to find the original data.
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14 views

Importance of savings rate in the Harrod Domar and Solow models

The standard equation associated with the Harrod-Domar model is: $$ \frac s{\theta} = g^* + n + \delta $$ where, s = savings rate, $ \theta $ = the Output-capital ratio, $ g^* $is the growth in ...
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2answers
88 views

If an economy has capital that is less than the golden rule level of capital, can we reach the golden rule without increasing the savings rate?

This question is in context of this problem I was trying to solve: The answer given is (a). But I think the answer is (C). My arguments are as follows: First, the golden rule level of capital ...
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1answer
153 views

Wages in Solow growth model with savings = 0

I am trying to understand the change of wage rate and rental rate in the Solow growth model with s = 0. It is clear that capital per capita will approach 0 (due to depreciation of capital). Also is ...
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1answer
28 views

Here's a question about the solow model [closed]

At first, I was confused by how y keeps increasing after depreciation exceeds savings, then I finally found what was truly bothering me. The fact that when depreciation exceeds savings, capital per ...
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1answer
47 views

Growth Rate of Solow Model

Conside the following Cobb-Douglas Production Function: $$Y_t=\bar AK_t^{1/3}\bar L^{2/3}$$ The growth rate of per capita GDP for this equation in continuous time is $\frac{y'_t}{y_t}= \frac{1}{3K_t}$...
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1answer
141 views

The growth rate in the Solow model

Consider a very simple version of the Solow model with discrete time, a fixed population size and no technological progress (a fuller description of the assumptions is outlined here). Capital is at '...
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1answer
60 views

How to Calculate the productivity multiplier?

Given a Cobb Douglas $Y_t = A (K_t^\alpha L_t^{1-\alpha}) $ $ K_{t+1} = sY_t + (1-\delta) K_t$ How do we get the multiplier on productivity to be equal to $ \frac{1}{1-\alpha}$? I understand ...
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232 views

Solow Model - criticism of Harrod model

I have started out reading seminal paper of Solow - Solow Growth model. It starts out with discussing weaknesses in Harrod Domar Model, a simple model of economic growth which featured prior to solow'...
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1answer
143 views

Solow model golden rule with my exact answer

In a perfectly competitive Solow economy with physical capital accumulation, population growth and a Cobb-Douglas production function, show that the “golden rule” steady-state would be reached if at ...
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0answers
154 views

Improve my solution: Question on solow model

There is a question about Solow growth and Ramsey model, compared to solow model, the Ramsey model is better to explain growth patterns across countries because it predicts a slower convergence ...
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92 views

Solow growth model deriving solutions

I was reading a note on Solow model in continuous time, and it said we can derive K, C, and Y from the key equation. But the steps were omitted, and I have no clue with it. How can I derive these ...
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1answer
116 views

Sustainable growth in the long run [closed]

Suppose that, in addition to physical capital and labour, an economy requires a fixed factor and a non-renewable resource to produce the final good. Prove that an economy with these input requirements ...
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0answers
52 views

Trying to apply Solow model to the US econmy

In a textbook application I try to apply Solow model to the US economy. What will be a ballpark estimate of the saving rate and the depreciation rate? Edit: To follow up, assume Cobb-Douglas with ...
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1answer
1k views

How is the Solow residual measured?

In the Solow model, we have the Solow residual often referred to as the level of technology A. More particularly : \begin{equation} Y(t) = [K(t)]^{\alpha} [A(t)L(t)]^{1-\alpha} \end{equation} Here ...
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54 views

Macroeconomic Measures of Human Capital

How exactly do you measure human capital for a given country and what numbers are included in that measure. The reason why I ask is because im interested in simulating the Mankiw–Romer–Weil version ...
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1answer
68 views

Was there a Role of Technology in Macroeconomic Models before Solow?

Was the role of technological progress formalised by Solow (1956) for the first time? or at least he provided the initial formal insight into the role of technological progress in economic growth?
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1answer
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Solow growth model - analytic proof that Inada conditions imply steady state capital is increasing in the savings rate

Let's take the example of a generic Harrod-neutral (labor-augmenting) production function $f(k)$; all letters denote the growth rates they usually would. In the regular Solow growth model with the ...
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1answer
6k views

Effect of population growth on Solow steady state

My textbook says that: Ratio of capital per capita to income per capita in the steady state is a positive function of s and an inverse function of η and δ. Thus, k*/y* is a constant. This means ...
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1answer
101 views

What happens to aggregate C, K, and Y when TFP increases permanently?

I was wondering what would happen to aggregate capital, consumption and output (i.e. K, C, Y) in the Solow model with constant population growth (i.e. n > 0) and no technological growth (i.e. a = 0) ...
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2answers
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Basic Solow Growth Model: Stability Proof

I am reading through McCandless "The ABCs of RBCs" this summer to get a preview of what I need to know for the coming Fall semester. It did not take long to find a statement that I can easily accept ...
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1answer
50 views

How to estimate a constant elasticity of substitution for a country in a solow model including human capital and scarce resources

For my thesis I was looking for some help due to the facts of my little knowledge of econometrics. I appreciate any help whether its directly dealing with my question or literature advice. Basically ...
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1answer
364 views

Taylor Series Approximation around steady state in Solow

In my Advanced Macro script, the professor says take TSA1 of the following equation: $(1+g)(1+n)k_{t+1} = sk^\alpha_{t+1} + (1-\delta)k_t$ where $g$ is technological progress, $n$ population growth, ...
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1answer
541 views

Taking the derivative of capital per effective unit of labor in the Solow model [closed]

I'm taking an intro macro course, and my calculus is pretty rusty. I'm going through some lectures notes right now where they derive the growth rate of capital in the Solow model like so: I'm ...
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1answer
73 views

Growth regressions over 3-year periods; regressors in average or year values?

Say that I want to estimate a growth regression basically similar to the Augmented Solow Model one, except my dependent variable is not Y/L, but it's the average GDP growth over a 3-year period. As my ...
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3answers
3k views

Alpha interpretation in Solow growth model

Consider the Solow model (without technology): $Y = F(K, L) = K^\alpha L^{(1-\alpha)}$ What's the economic interpretation of $\alpha$? Prove and argue the result. I see it as a share that ...
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2answers
1k views

Steady state Solow model with exogenous technological change

Consider the following question: So, assume the standard function for production: $$Y_t = A_t K^\alpha_tL^{1-\alpha}$$ where $L$ is fixed. Then, the growth rate of output is: $$g_Y \approx g_A + ...
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2answers
343 views

Solow model, time and steady state

Suppose we have a Solow model: $$ Y(t)=C(t)+I(t) $$ $$ I(t)=sY(t) $$ $$ \dot K=I(t)-δK(t) $$ With a given Cobb-Douglas: $$ Y(t)=Z(t)K^aL^{1-a} $$ $$ y(t)=Y(t)/L(t) $$ $$ k(t)=K(t)/L(t) $$ $$ y=...
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Growth accounting: technological progress grows at near zero rate

In a growth accounting exercise I backed out the time path of technical progress augmenting a factor. Annual growth rate of this factor saving innovation is very close to zero in the last few years. ...
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1answer
3k views

Capital stock depreciation rate, how to calculate?

I am trying to work out the depreciation rate using the following information, it is an extract from a longer data set on capital stock: Just wanted to find out what the rate of depreciation is for ...