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Results tagged with mathematical-economics
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user 8630
The application of mathematical methods to represent theories and analyze problems in economics.
1
vote
Derivation of demand for intermediate goods in DSGE model
To solve the problem you also need the equation:
$Y_t=\left(\int_0^1 Y_t(j)^{1-\nu} \ dj \right)^{\frac{1}{1-\nu}}$
Now, the FOC is the same for every $Y_t(j)$, so we only have to differentiate once …
- 880
4
votes
Accepted
What Taylor approximation is used in this equation?
Even though your question does not allow a definite answer, I am pretty sure the author used a Taylor expansion around the logarithm of both sides of the equation. This process is called log-lineariza …
- 880
1
vote
Accepted
Log linearising (Gali textbook)
We can easily switch between logged equations and log-deviations.
To see this, note that a given equation always holds, and therefore it also holds in steady state. Hence, you can just subtract the …
- 880