The Mises Community
An online community for fans of Austrian economics and libertarianism, featuring forums, user blogs, and more.

Where does AD = C+I+G come from?

rated by 0 users
This post has 9 Replies | 3 Followers

Not Ranked
Male
Posts 13
Points 260
Kilmore Posted: Sun, Sep 7 2008 7:54 AM

Many textbooks of macroeconomics postulate validity of such equation (AD = C + I + G). I tried to find who had written it for the first time, Keynes was on top of list of suspects, but I was unable to prove him guilty, there seems to be no mention of this equation in his General Theory... Though aggregate demand and supply are mentioned soon in the book (page 25 in original English edition) meaning of these terms is somehow arkwardly different from present ones. If not Keynes, who then? Hicks, Hansen, anyone else?

  • | Post Points: 65
Top 10 Contributor
Male
Posts 4,238
Points 64,905
ForumsAdministrator
Moderator
SystemAdministrator

Have you tried Samuelson? He was Keynes's greatest disciple.

-Jon

To darkness I condemn you...

  • | Post Points: 20
Not Ranked
Male
Posts 13
Points 260
Kilmore replied on Sun, Sep 7 2008 8:08 AM

In fact I did not (I have only read his famous textbook back in times when I was even more stupid than today). But even if I found this equation in his writings it would not prove him to be the author. Therefore I ask anyone with greater expertise...

  • | Post Points: 5
Top 25 Contributor
Male
Posts 1,482
Points 28,300
Moderator
krazy kaju replied on Tue, Sep 16 2008 12:48 PM

You forgot X (or X-M depending on who you talk to).

  • | Post Points: 20
Top 10 Contributor
Male
Posts 4,238
Points 64,905
ForumsAdministrator
Moderator
SystemAdministrator

Those are usually omitted, especially when a closed economy is assumed.

-Jon

To darkness I condemn you...

  • | Post Points: 5
Top 500 Contributor
Posts 89
Points 1,720

I believe it may have arose with the advent of the National Income and Product Accounts (NIPA).  Y = C + I + G is more of an accounting identity than a theory. 

  • | Post Points: 5
Top 500 Contributor
Posts 89
Points 1,720

I am discontent with my above answer, because I am wondering why "I"  isn't used instead of "S"

IOW, shouldn't Y = C + S + G = C + I + G.

 

  • | Post Points: 35
Not Ranked
Male
Posts 13
Points 260
Kilmore replied on Sat, Oct 11 2008 2:51 AM

Answer is quite simple as I have observed few years ago when I proposed the same thing (usage of S instead of I) to my professor during some seminar. If you really replace I by S, then this equation is obviously mere accounting principle as you said in the post above. Then there is nothing interesting about it and such AD cannot be boosted or depressed at all! It is like having a cake divided into three portions. Their sum is obviously always one cake. You may take a piece of part 1 and add it to part 3, for example, but total sum cannot be changed not even slightly by such redistribution. This is revelation of true nature of Keynesian fallacy. It starts with this simple accounting equation you cannot doubt. But once you accept it as true, they use simple algebraic operations to fool you, to make you forget the reasons why it used to be true,i.e. AD is merely constant total sum of those three variables.

There are two basic methods how they achieve this. First is hidden by G. Government must tax first to be able to spend. If there are no government budget surpluses and if government does not acquire loans on financial markets, then following equation is valid (Ta for autonomous tax, t for income tax, TR for transfers).

G = Ta + tY - TR

Textbooks usually introduce C = Ca + c Yd where Yd is Y-Ta-tY+TR. Of course Yd is that part of income left after taxation. Therefore simply Yd = Y - G. Hence our AD looks this way.

AD = Ca + c (Y-G) + I + G

Now they usually try to fix investment  (I) to make it independent (autonomous). Certainly it is nonsense. At least I depends on S, it cannot exceed S. Higher government spending (therefore heavier taxation) must diminish saving. Lower S means lower I. Moreover S depends on C too. Happy consuming consumer cannot certainly save what he has spent already. In another words, C+ I = Yd. Hence another improvement of AD equation. 

AD = Ca + c(Y-G) + (1-c) (Y-G) + G

It is not difficult to see why AD cannot be boosted by fiscal expansion. Higher G immediately lowers C and I, those three parts of cake constitute one cake and not slightly more or less. No wonder why my professor was unwilling to write S instead of I or to look closely at G. 

Moreover they like to distinguish ex ante from ex post. S might be equal to I it is admitted but only ex post (or ex ante?). If anyone could explain these differences between keynesian ex ante and ex post, I would be very thankful. It seems to me they themselves do not understand it much.

 

  • | Post Points: 5
Top 150 Contributor
Posts 187
Points 2,940

IDigSluts_ky:

I am discontent with my above answer, because I am wondering why "I"  isn't used instead of "S"

IOW, shouldn't Y = C + S + G = C + I + G.

 

 

You use I for investment, because investment does not mean private investment.  I in this case implies companies investing in their business by buying more capital and other investments.

  • | Post Points: 5
Top 150 Contributor
Posts 187
Points 2,940

Kilmore:
Many textbooks of macroeconomics postulate validity of such equation (AD = C + I + G). I tried to find who had written it for the first time, Keynes was on top of list of suspects, but I was unable to prove him guilty, there seems to be no mention of this equation in his General Theory... Though aggregate demand and supply are mentioned soon in the book (page 25 in original English edition) meaning of these terms is somehow arkwardly different from present ones. If not Keynes, who then? Hicks, Hansen, anyone else?

Here.

The consumption equation I have frequently pondered and been bothered by, and is in fact what I plan to write a dissertation disproving.

  • | Post Points: 5
Page 1 of 1 (10 items) | RSS

Ludwig von Mises Institute | 518 West Magnolia Avenue | Auburn, Alabama 36832-4528

Phone: 334.321.2100 · Fax: 334.321.2119

contact@Mises.org | webmaster | AOL-IM MainMises

Mises.org sitemap