<p>You need to come up with good instruments. I.e. what affects worldwide price directly and affects domestic output only through the price? What affects domestic output directly  and affects worldwide price only through the domestic output? Than you can use the External Instruments/Proxy SVAR method as described <a href="https://econweb.ucsd.edu/%7Evramey/research/Shocks_HOM_Ramey.pdf" rel="nofollow noreferrer">by prof. Ramey</a> on page 12.</p>

CC BY-SA 4.0
2021-08-20T14:07:29.143Z
2021-08-20T14:07:29.143Z
Grada Gukovic
<p>In a DSGE model, monetary policy shock (Taylor rule style) increases interest rate. So output and inflation falls, which feedback contemporaneously to the interest rate. Thus, interest rate (<span class="math-container">$i_t$</span>) rises after the shock, output (<span class="math-container">$y_t$</span>) and inflation (<span class="math-container">$\pi_t$</span>) falls contemporaneously, which feedback at period <span class="math-container">$t$</span> to interest rate via the Taylor rule (<span class="math-container">$i_t = f(y_t,\pi_t, ...)$</span>). So the final change in <span class="math-container">$i_t$</span> is ambiguous depending how strong the feedback is. Thus, <span class="math-container">$i_t$</span> can even fall.</p>
<p>But we can not study such a contemporaneous feedback relationship using an empirical-reduced-form model, right? In a VAR, there is only lagged feedback. In SVAR, you have to place zero contemporaneous restrictions on a trivariate model of <span class="math-container">$i_t$</span>, <span class="math-container">$y_t$</span> and <span class="math-container">$\pi_t$</span> otherwise you will have unidentified SVAR model, right?</p>
<p>So I guess in SVAR, you have to choose which variables affects others contemporaneously. And there is no way to make all variables affect each other contemporaneously, right? Or perhaps there is a model to study such contemporaneous relationships?</p>
<p>Oy maybe one can use single equation models like distributed lags? But that makes strong exogeneity assumptions that may not hold, right...although I see people using it.</p>
<p>The only alternative is DSGE?</p>
<p>I have a similar problem like that, but with different variables. Domestic commodity production affects world prices since economy is second largest producer, but world prices also affects domestic production since individual firms are price takers. I can model that maybe in a two-country DSGE model...but I guess it is not possible in a reduced form model. Or may be it is?</p>

<macroeconomics><econometrics><applied-econometrics>
Is there an empirical model for studying contemporaneous feedback relationships?
Emmanuel Ameyaw
# Is there an empirical model for studying contemporaneous feedback relationships?

(Asked by: username_0 on 2021-08-17)

In a DSGE model, monetary policy shock (Taylor rule style) increases interest rate. So output and inflation falls, which feedback contemporaneously to the interest rate. Thus, interest rate ($i\_t$) rises after the shock, output ($y\_t$) and inflation ($\pi\_t$) falls contemporaneously, which feedback at period $t$ to interest rate via the Taylor rule ($i\_t = f(y\_t,\pi\_t, ...)$). So the final change in $i\_t$ is ambiguous depending how strong the feedback is. Thus, $i\_t$ can even fall.

But we can not study such a contemporaneous feedback relationship using an empirical-reduced-form model, right? In a VAR, there is only lagged feedback. In SVAR, you have to place zero contemporaneous restrictions on a trivariate model of $i\_t$, $y\_t$ and $\pi\_t$ otherwise you will have unidentified SVAR model, right?

So I guess in SVAR, you have to choose which variables affects others contemporaneously. And there is no way to make all variables affect each other contemporaneously, right? Or perhaps there is a model to study such contemporaneous relationships?

Oy maybe one can use single equation models like distributed lags? But that makes strong exogeneity assumptions that may not hold, right...although I see people using it.

The only alternative is DSGE?

I have a similar problem like that, but with different variables. Domestic commodity production affects world prices since economy is second largest producer, but world prices also affects domestic production since individual firms are price takers. I can model that maybe in a two-country DSGE model...but I guess it is not possible in a reduced form model. Or may be it is?

**Tags:** macroeconomics, econometrics, applied-econometrics

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## 1 answers

### Answer by username_1 on 2021-08-20. Score: 1

You need to come up with good instruments. I.e. what affects worldwide price directly and affects domestic output only through the price? What affects domestic output directly and affects worldwide price only through the domestic output? Than you can use the External Instruments/Proxy SVAR method as described [by prof. Ramey](https://econweb.ucsd.edu/%7Evramey/research/Shocks_HOM_Ramey.pdf) on page 12.


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