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### Solow Model: Steady State v Balanced Growth Path

Okay, so I'm having real problems distinguishing between the Steady State concept and the balanced growth path in this model: $$Y = K^\beta (AL)^{1-\beta}$$ I have been asked to derive the steady ...
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### Optimality of Zero Capital Taxation

The Chamley-Judd result of zero optimal capital taxation says that 0 capital taxation are required in order to maximize welfare at the steady state. The result is 30 years old. Still assuming that ...
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### Solow Model, Growth rate of K/L and Y/L in steady state

I have been given the following setup: $$Y=K^\theta (AL)^{1-\theta }$$ Where Y = Output, K = Capital, L = Labour and A = Productivity. $$\frac{\dot{L}}{L} = n$$ $$\frac{\dot{A}}{A} = g$$ The ...
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### Overlapping Generations model: Social Planner solution

Assume we have a model of OVG where there are 2 overlapping generations, youngs and olds, the agents are two period living. The utility function is logaritmic, and the production function is Cobb-...
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### What conditions must we demand for the economy to be always on the saddle path?

Is it enough to assume that agents have perfect foresight, or have 'rational' expectations for the economy to always - except in few cases - be in the stable saddle path? With rational expectations, ...
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### Log linearising EUler equation

I am trying to solve a problem that asks to log linearise following Euler equation of the New Keynesian model: $$C^{-\sigma}_t=\beta E_tC^{-\sigma}_{t+1}(1+i_t)/(1+\pi_{t+1}).$$ The solution is ...
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### Difference between long run coefficient and non stochastic steady state coefficient ARDL model

I am a little bit confused on the definition of long run equilibrium coefficient. Suppose I have an ARDL model as: $y_t = \rho_1 y_{t-1} + \rho_2 y_{t-2} + \beta_1x_{t-1} + \beta_2x_{t-2}$ The steady ...
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### What does steady state mean?

I am reading a book on business cycle models, and it keep using the word "steady state". It never defined what that actually means. Obviously it is the idea that some key variables reach constant ...
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### Constant to the power of t in steady state

I am wondering how to get the steady-state for the following Euler equation. I know that we can get rid of time in subscripts. However, here I have a constant (a) to the power of $t$. Does anyone know ...
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### 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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### Problem to find steady state when I assume Y=1

I am trying to do a DSGE model in Matlab, I have all the steady state equations on paper and pencil but I fail to find values for all variables. Indeed, since I have constant return to scale, I have ...
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### Proving the existence of a steady state

I am trying to prove the existence of at least one stable steady state in a situation where I am given properties of the production function but not an explicit functional form. I have the following (...
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### Log linearization

Consider some time series data $X=\{x_t:t\in[0,\infty)\}$. Define a steady state by \begin{align} x\in X:x_{t+1} - x_t = 0 \end{align} and the log deviation from steady state with \begin{align} \hat ...
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### Marginal Product of Capital in the Solow Model

In the classic form of the Solow Model: $$Y=K^\alpha (AL)^{1-\alpha }$$ Describe circumstances in which the marginal product of capital could rise over time, at least for a temporary period. I've ...
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my lecturer is doing a rather poor job explaining what he's written down, so I'm wondering if someone would be able to explain the following graph for me? This is a part of the Solow-Swann Growth ...
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### Question on overlapping generations

My question is from over lapping generations Question is as follows I found that $$k(t+1)= \frac{\beta(1-\alpha)}{(1+\beta)(1+n)}A(t)k(t)^{\alpha}$$ How can I deal with A(t) to find the steady state \$...