<p>You are not very clear on whether your model is uniequational or a system of equations (e.g. a VAR). I will assume the former is your case.</p>

<p>There are several approaches to estimating Real GDP. One approach is via estimating a production function (i.e. a <strong>supply side</strong> approach). Here, you need information on factors of production, like hours worked, education level, physical capital, etc. It would make little sense to use inflation as a regressor in this approach. </p>

<p>An alternative method is to focus on the <strong>demand side</strong>, by which you are interested in explaining the determinants of GDP sub-components like consumption, government spending, etc. This approach is in my opinion the most common among specialised institutions like central banks and etc. For example, <a href="https://www.frbatlanta.org/cqer/research/gdpnow.aspx?panel=1" rel="nofollow noreferrer">Atlanta Fed</a>, <a href="http://www.oecd.org/eco/outlook/forecastingmethodsandanalyticaltools.htm" rel="nofollow noreferrer">OECD</a>, <a href="https://nimodel.niesr.ac.uk/" rel="nofollow noreferrer">NIESR UK</a>, researchers at the <a href="http://www.bankofcanada.ca/wp-content/uploads/2010/02/wp06-26.pdf" rel="nofollow noreferrer">Bank of Canada</a>. </p>

<p>The latter type of models are normally very complex, and go beyond the one equation system. As such, some of them do include inflation as one of the variables (both as independent and dependent variable), because inflation is expected to affect real wages and thereby consumption (for example, see the documentation of the Atlanta Fed model <a href="https://www.frbatlanta.org/-/media/documents/research/publications/wp/2014/wp1407.pdf" rel="nofollow noreferrer">here</a>. </p>

<p>Now, if you only have one equation, and are using the demand side approach, I would include inflation as long as other included variables are also nominal (like retail sales). Alternatively, you can redefine every variable as real, and not include inflation. This is a more restrictive scenario though, as you are imposing extra restrictions (which, in fact, you can test).</p>

CC BY-SA 3.0
2017-04-23T09:42:40.583Z
2017-04-23T09:42:40.583Z
luchonacho
<p>In order to make an econometric model for explaining the evolution of the US <strong>Real GDP</strong>, does it make sense (from an economic point of view, not from a statistical one) to include CPI (as a proxy for inflation) among the regressors?</p>

CC BY-SA 3.0
2017-04-22T21:27:29.427Z
If you are using Real GDP, why would you want a proxy for inflation?
Andrew M
CC BY-SA 3.0
2017-04-22T21:28:00.027Z
There is one obvious problem in an inflationary environment: the inflation rate could be much higher than real growth. A regression (for example) would break down. You might get away with it in the current low inflation environment, but I would look for something that does not get hit by this scaling issue. If you think inflation improves real growth prospects (somehow), you would need to figure out how to bring that factor in safely.
Brian Romanchuk
<macroeconomics><econometrics><inflation><gdp><time-series>
Real GDP explanatory variable
Archimede
# Real GDP explanatory variable

(Asked by: username_0 on 2017-04-22)

In order to make an econometric model for explaining the evolution of the US **Real GDP**, does it make sense (from an economic point of view, not from a statistical one) to include CPI (as a proxy for inflation) among the regressors?

**Tags:** macroeconomics, econometrics, inflation, gdp, time-series
> **Comments:**
> **username_1**: If you are using Real GDP, why would you want a proxy for inflation?  
> **username_2**: There is one obvious problem in an inflationary environment: the inflation rate could be much higher than real growth. A regression (for example) would break down. You might get away with it in the current low inflation environment, but I would look for something that does not get hit by this scaling issue. If you think inflation improves real growth prospects (somehow), you would need to figure out how to bring that factor in safely.  

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## 1 answers

### Answer by username_3 on 2017-04-23. Score: 2 | Accepted answer

You are not very clear on whether your model is uniequational or a system of equations (e.g. a VAR). I will assume the former is your case.

There are several approaches to estimating Real GDP. One approach is via estimating a production function (i.e. a **supply side** approach). Here, you need information on factors of production, like hours worked, education level, physical capital, etc. It would make little sense to use inflation as a regressor in this approach.

An alternative method is to focus on the **demand side**, by which you are interested in explaining the determinants of GDP sub-components like consumption, government spending, etc. This approach is in my opinion the most common among specialised institutions like central banks and etc. For example, [Atlanta Fed](https://www.frbatlanta.org/cqer/research/gdpnow.aspx?panel=1), [OECD](http://www.oecd.org/eco/outlook/forecastingmethodsandanalyticaltools.htm), [NIESR UK](https://nimodel.niesr.ac.uk/), researchers at the [Bank of Canada](http://www.bankofcanada.ca/wp-content/uploads/2010/02/wp06-26.pdf).

The latter type of models are normally very complex, and go beyond the one equation system. As such, some of them do include inflation as one of the variables (both as independent and dependent variable), because inflation is expected to affect real wages and thereby consumption (for example, see the documentation of the Atlanta Fed model [here](https://www.frbatlanta.org/-/media/documents/research/publications/wp/2014/wp1407.pdf).

Now, if you only have one equation, and are using the demand side approach, I would include inflation as long as other included variables are also nominal (like retail sales). Alternatively, you can redefine every variable as real, and not include inflation. This is a more restrictive scenario though, as you are imposing extra restrictions (which, in fact, you can test).


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