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### Derive the Demographic Structure in the Steady State

I am reading a paper with following description on the demographics in their model: "... each (representative) agent lives for $T$ periods ... We assume that each individual has $e^{f}$ children ...
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Consider the growth model with inelastic labor supply, full depreciation, log utility and CRS technology with the Bellman equation be defined as follows: $$V(k)=\max(log(k^\alpha-k')+\beta V(k'))$$ st ...
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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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### 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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### An Optimal Control Model: A Rediculous Result for a Steady State

I was experimenting with a seemingly simple optimal control problem that generates a system of differential equations. When I calculate the values of the steady state of the system I get some very ...
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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: $$Y(t)=Z(t)K^aL^{1-a}$$ $$y(t)=Y(t)/L(t)$$ $$k(t)=K(t)/L(t)$$ $$y=... 1answer 166 views ### What conditions must we demand for the economy to be always on the saddle path? Is it enough to assume that agents have perfect foresight, or have 'rational' expectations for the economy to always - except in few cases - be in the stable saddle path? With rational expectations, ... 1answer 496 views ### Taylor Series Approximation around steady state in Solow In my Advanced Macro script, the professor says take TSA1 of the following equation: (1+g)(1+n)k_{t+1} = sk^\alpha_{t+1} + (1-\delta)k_t where g is technological progress, n population growth, ... 1answer 713 views ### How to determine the Steady State of this model? Consider the system of two equations:$$y_t=\beta\mathbb{E}_t[y_{t+1}+\gamma\cdot z_{t+1}]x_t=\rho x_{t+1}+y_tz_t=(z_0-Z_t)e^{-at}+z_T$$Determine the steady state. The solution manual ... 3answers 741 views ### Solution Method for Infinite-Horizon Maximization Problem Full disclosure: this problem was part of a final exam that none of our class could really solve definitively. Below the general form is a specific utility function we worked with that I'll try to ... 1answer 156 views ### Evaluation around steady state for a specific DSGE Model The following equations are taken from Ravenna, walsh: "Optimal Monetary Policy with Unemployment and Sticky Prices" (2011). (i)$$\frac{Z_{t}}{\mu_{t}} = w_t + \frac{\kappa}{q_{t}} - (1-\rho)E_{t}(\...
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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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