Mathematical representation-inflation unemployment trade-off, Microeconomics

Mathematical representation - Inflation Unemployment Trade-off:

Suppose that firms correctly perceive the state of demand in the economy and the rate of price inflation. Then the actual real wage rate in the economy would always be equal to the real wage rate on the basis of which firms decide how much labour to demand. Then, if the economy is to remain at a fixed rate of unemployment, the real wage rate must be constant so that the rate of growth of the money wage rate must equal the rate of price inflation. That is, if w(t) denotes the money wage rate andp(4the price level in the economy in period t:

w(t)/p(t) = w(t+1)/p(t+1) = w(a positive constant), so that

[w(t+1)-w(t)]/w(t) = [p(t+1)-p(t)]/p(t)....(1)

Remember that [w(t+1)-w(t)]/w(t) gives the growth rate in nominal or money wage in period t.

However, suppose that the fixed rate of unemployment is lower than the natural rate. Then, for the amount of labour corresponding to this rate of unemployment to be supplied, suppose that a higher real wage rate must be expected by workers. Workers therefore will supply the amount of labour corresponding to this rate of unemployment, if and only if

w(t+l)/pe(t+l) = w' . . .(2)

Where pe(t+1) denotes the price level expected by workers in period t+1.

By rearranging terms in (2) we find that pe(t+1) = (1/w')[(t+1) . . .(3)

That is, [pe(t+1) -p(t)]/p(t) = (1/w')[w(t+1)/p(t)] - 1 

That is, [pe(t+1)- p(t)]/p(t) = (w/w')[p(t+1)/p(t)] - 1 

 That is, (w'/w)[pe(t+1)- p(t)]/p(t) = [(w'/w) - 1] = [p(t+1) -p(t)]/p(t) ....(4)

Since w'/w> 1 it follows that the rate of growth of nominal demand in the economy must be such that the actual rates of nod wage and price inflation, given by [p(t+1)-p(t)]/p(t), must always be greater than the expected rate of price inflation [pe(t+1)- p(t)]/p(t).

If despite the actual rate of price inflation king greater than the expected rate of price inflation, the workers expected that the hate of price inflation remain the same overtime, then the actual rate of price inflation on required to maintain the given level of unemployment would be constant over time. There would be a stable relation between the rate of unemployment and the rate of inflation as given by the Phillips curve.

Posted Date: 11/21/2012 6:32:24 AM | Location : United States







Related Discussions:- Mathematical representation-inflation unemployment trade-off, Assignment Help, Ask Question on Mathematical representation-inflation unemployment trade-off, Get Answer, Expert's Help, Mathematical representation-inflation unemployment trade-off Discussions

Write discussion on Mathematical representation-inflation unemployment trade-off
Your posts are moderated
Related Questions
Mg(OH)2 + 2HCl-----> MgCl2 +2H2O how many grams of magnesium chloride can be produced from 14.60mL of a 0.546M hydrogen chloride solution?

What are the three approaches to measuring GDP? The three approaches are: a)  The production approach, b)  The spending approach and c)  The income approach.

It is necessary for the proper understanding of the price theory to know the various concepts of cost that are often employed. When an entrepreneur undertakes production of a commo

Biochemistry is regarded a dull topic. Not many learners like to research it in school since it includes a thorough comprehension of issue and clinical changes in the framework, fr


Random sampling is a technique for sampling which we can select a group of subjects or a sample for study from a larger group or a population. Each entity individually is chosen en

Ask question #Minimu2. Profit maximization is theoretically the most sound but practically unattainable objective of business firms. In the light of this statement critically appra

Question-1 : This question is designed to show your understanding of stock market terminology and also the impact of currency exchange rate. You are a Swiss Franc (CHF) based inv

Labour Extraction: Most employees under capitalism are paid according to time they spend at work. Though employers then face a challenge to extract genuine labour effort from their

List two advantages of markets identified by the authors of the text. Markets can be a significant way of allocating resources.  Markets include voluntary exchanges.  Another b