My Math Forum Macro-economics
 User Name Remember Me? Password

 Economics Economics Forum - Financial Mathematics, Econometrics, Operations Research, Mathematical Finance, Computational Finance

 May 5th, 2018, 09:49 AM #1 Member   Joined: Mar 2017 From: Israel Posts: 81 Thanks: 2 Macro-economics Hello Can you help me please about the next exercise: The following are data on a certain economy: Aggregate demand: AD = 1000 + 0.75Y. Marginal propensity to invest: MPI = 0.15. Product gap is equal to 120. a. Find the Keynesian multiplier (K), Deflationary gap and Product of full employment (YF). I solved it already: Is it correct? I solved it without using MPI which is 0.15. Now there is another question (actually, 3 questions. But if I will succeed in the first one, so it will not be hard to solve the last two questions, I hope...): Now assume that the government was interested in bringing the economy to equilibrium in full employment. Find the change needed to achieve the goal and the change in product (Y), investment (I), public consumption (G) and private consumption (C), by increasing public consumption and financing it by selling bonds. Thanks! Last edited by skipjack; May 6th, 2018 at 05:05 AM.
 May 5th, 2018, 03:40 PM #2 Senior Member   Joined: May 2016 From: USA Posts: 1,305 Thanks: 548 I think this problem just involves algebra applied to a model that you have not fully specified. MPE is what? MPI must be 0.15 times something or else it is a ratio of two somethings, but what somethings? For us to help you, you need to give us the definitions and equations of the specific model that you are working with. I can tell it is essentially a Keynesian model, but which one? Are we dealing with IS and LM curves, for example? If you are working with the Hicks version of Keynes, I'd have to spend a fair amount of time refamiliarizing myself with it.
May 6th, 2018, 04:09 AM   #3
Member

Joined: Mar 2017
From: Israel

Posts: 81
Thanks: 2

Quote:
 Originally Posted by JeffM1 I think this problem just involves algebra applied to a model that you have not fully specified. MPE is what? MPI must be 0.15 times something or else it is a ratio of two somethings, but what somethings? For us to help you, you need to give us the definitions and equations of the specific model that you are working with. I can tell it is essentially a Keynesian model, but which one? Are we dealing with IS and LM curves, for example? If you are working with the Hicks version of Keynes, I'd have to spend a fair amount of time refamiliarizing myself with it.
I'm very sorry, I thought people would understand and I didn't know that Keynesian model is broad topic (we just started learning it), so I will answer your questions and explain:

MPE is marginal propensity to expenditure.
MPI, which is 0.15, Refers to investment (I) and product (Y), in other words, MPI is the increase in investment (I) as a result of the growth of product (Y).
What we have learned until now (only about Keynesian model):
1. The Keynesian model - an economy in which the government doesn't intervene in economic activity.
2. The Keynesian model - a closed economy in which the government intervenes in economic activity.
So we didn't learn about Hicks yet.
The curves I know for now are private consumption (C), investment (I) and AD=C+I or AD=C+I+G (if there is public consumption which is G). So I don't know what are IS and LM, I think we're dealing with what I just mentioned.
Y* (if you saw in picture) = equilibrium product.

Sorry again, and if there is another something you need to know, tell me please

 May 6th, 2018, 05:53 AM #4 Global Moderator   Joined: Dec 2006 Posts: 20,270 Thanks: 1958 Is there a name for the "1000" term in the equation AD = 1000 + 0.75Y? Also, is there a standard abbreviation (or letter) that's usually used for the product gap? I ask because after finding K, you effectively calculated 1000K + 120 and 120/K.
May 6th, 2018, 07:46 AM   #5
Member

Joined: Mar 2017
From: Israel

Posts: 81
Thanks: 2

Quote:
 Originally Posted by skipjack Is there a name for the "1000" term in the equation AD = 1000 + 0.75Y? Also, is there a standard abbreviation (or letter) that's usually used for the product gap? I ask because after finding K, you effectively calculated 1000K + 120 and 120/K.
About your first question - no, it's just number.
About your second question - I don't know, nobody told us about special letter of product gap.
Yes, 1000K+120, it's all about formulas. about 120/K I'm not sure (even if you got the same answer), I just calculated in different way, but if it's the same mathematically, so yes.

 May 6th, 2018, 07:55 AM #6 Senior Member   Joined: May 2016 From: USA Posts: 1,305 Thanks: 548 Professional economists build models (mathematical or conceptual). There are probably dozens of slightly different versions of Keynes, partly because his General Theory is amazingly opaque. Here is a site that gives a very short summary of non-Marxist macroeconomic theories. Macroeconomics You seem to be studying a simple Keynesian model. And there is admittedly very limited variation in these primitive models. But vocabulary may differ. What you call marginal propensity of expenditure is, I suspect, what others call marginal propensity to consume, but I am not sure of that. The term "deflationary gap" is unfamiliar to me and seems to involve the general price level, which is not an element in the simple Keynesian models that I am familiar with. And the behavioral equations in even simple Keynesian models may vary slightly. What are the defined terms in the model. Standard ones would include: $Y = \text {aggregate production.}$ $I = \text {production of capital goods.}$ From a mathematical perspective of course all that matters are the equations. Typical ones in a simple version of the Keynesian model for a closed economy would include: $Y = C + I + G$, and $Y = C + S + T$. That gives six variables and only two equations. What are the other equations? Moreover, terms like "deflationary gap" and "marginal propensity to invest" must be defined in terms of the basic variables for us to confirm that your answers are correct I can guess that $I = I_0 + \alpha Y \text {, where } \alpha = \text { marginal propensity to invest and } 0 \le \alpha < 1.$ But why should I guess when you can tell me for sure what your equations are? Thanks from IlanSherer Last edited by JeffM1; May 6th, 2018 at 07:59 AM.
May 6th, 2018, 09:30 AM   #7
Global Moderator

Joined: Dec 2006

Posts: 20,270
Thanks: 1958

Quote:
 Originally Posted by IlanSherer . . . about 120/K I'm not sure . . .
You effectively obtained 4120 - 4090 from 1000 + MPE*4000 + 120 - (1000 + MPE(4000 + 120)).
That simplifies to 120(1 - MPE), which is 120/K, as K equals 1/(1 - MPE).

May 6th, 2018, 12:03 PM   #8
Member

Joined: Mar 2017
From: Israel

Posts: 81
Thanks: 2

Quote:
 Originally Posted by skipjack You effectively obtained 4120 - 4090 from 1000 + MPE*4000 + 120 - (1000 + MPE(4000 + 120)). That simplifies to 120(1 - MPE), which is 120/K, as K equals 1/(1 - MPE).
Yeah, you are right.

 Thread Tools Display Modes Linear Mode

 Similar Threads Thread Thread Starter Forum Replies Last Post IlanSherer Economics 5 May 5th, 2018 09:03 AM IlanSherer Economics 3 April 10th, 2018 04:47 AM Simonsky Elementary Math 2 January 28th, 2017 01:50 PM miscloto Linear Algebra 2 February 7th, 2015 04:30 PM JJAtlanta New Users 4 August 9th, 2011 12:01 AM

 Contact - Home - Forums - Cryptocurrency Forum - Top

Copyright © 2019 My Math Forum. All rights reserved.