# Questions tagged [solow]

Referring to the Solow-Swan model of economic growth.

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### 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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### “If markets are competitive, the rate of return on capital equals its marginal product, $f'(k)$ minus depreciation $\delta$”?

Consider Solow model with $Y=(AL)^{1-a}K^a$. Then output per effective labor is $y=k^a$ where $k=\frac{K}{AL}$. "If markets are competitive, the rate of return on capital equals its marginal product,...
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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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### Are business cycle fluctuations usually studied in a (New Keynesian) DSGE model, or can they also be studied in a growth model?

I wonder if business cycle fluctuations are usually studied in a (New Keynesian) DSGE model, or can they also be studied in a growth model?
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### 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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### 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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### 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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### Solow model: effect on a sudden fall in population? [closed]

my question is, what happens in the Solow model when a sudden fall in population happens? let's say a bomb killed many people.
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### How to derive and draw phase diagrams: Ramsey-Cass Koopmans model

I am confused by how to construct phase diagrams. For instance, I have been given the following two equations from the Ramsey model: \begin{align*} \frac{\dot C}{C}=&\frac{1}{\gamma} (F_K(K) - \...
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### Attributing Labor Productivity Gains to Capital Deepening vs. Total Factor Productivity Growth

In a traditional Solow-Swan growth model, you can decompose growth in labor productivity (output/hour) into a component stemming from total factor productivity growth and another stemming from capital ...
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### 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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### 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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### 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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### 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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### 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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### 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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### 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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### Is the steady state of k enough to show Y grows at the rate n+g?

To provide some context for the question: I was approached by a student needing help for a an empirical thesis based on Solow-Swan model. She had trouble solving the theoretical model she wanted to ...
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### 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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### In Solow growth model, increasing consumption drops production which should measure GDP?

Consider Solow growth model $Y=F(K,AL)$ where $A$ measures knowledge progress, $K$ is capital and $L$ is label. I have suppressed temporal dependence. I am going to assume $L$, $A$ grow exponentially ...
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### How does identical capital-output ratios imply identical rental prices of capital?

In the context of the Solow model, I need to show that if two countries have the same capital output ratio then they have the same rental prices of capital (they have same production functions). I ...
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### Which model gives a more accurate representation of growth?

Does the Solow model or the combined Romer - Solow model give a more accurate representation of growth?
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### Solow growth model on firms level

Probably a silly question, but I just have to make sure. I am wondering whether it is acceptable to use the solow / solow-swan growth model to model the growth of firm instead of growth of an economy?
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### Solow's growth model with human capital (mankiw (1992) footnote 12 style equation)

i've never seen this type of model with human capital, and the derivatives of K and H seem to be different than what I find in literature about the subject. It's similar to mankiw romer weil (1992) ...
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### 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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### 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 ...
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 ...