We can combine the models we have seen so far to explain both real GDP and the price level in the long run. Real GDP is determined according to the production model, which is summarized in Table 4.1 of your textbook where the aggregate production function is Cobb-Douglas with labor share equal to 2/3. The price level is obtained from the quantity theory, which is summarized in Table 8.3 of your textbook. The nominal wage (in dollars) is the product of the real wage and the price level. (i) Express the equilibrium real wage as a function of the capital stock, labor force, and TFP Express the equilibrium nominal wage as a function of the money supply, velocity of money, and labor force. (ii) Suppose TFP increases. What happens to the real and nominal wages? (iii) Suppose the money supply increases. What happens to the real and nominal wages? Your answers must be detailed and you must provide the different steps leading to your

Macroeconomics: Principles and Policy (MindTap Course List)
13th Edition
ISBN:9781305280601
Author:William J. Baumol, Alan S. Blinder
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Chapter6: How Statisticians Measure Inflation
Section6.A: How Statisticians Measure Inflation
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We can combine the models we have seen so far to explain both real GDP and the price level in the
long run. Real GDP is determined according to the production model, which is summarized in Table
4.1 of your textbook where the aggregate production function is Cobb-Douglas with labor share
equal to 2/3. The price level is obtained from the quantity theory, which is summarized in Table 8.3
of your textbook. The nominal wage (in dollars) is the product of the real wage and the price level.
(i)
Express the equilibrium real wage as a function of the capital stock, labor force, and TFP.
Express the equilibrium nominal wage as a function of the money supply, velocity of
money, and labor force.
Suppose TFP increases. What happens to the real and nominal wages?
Suppose the money supply increases. What happens to the real and nominal wages?
Your answers must be detailed and you must provide the different steps leading to your
conclusions.
(ii)
(iii)
Transcribed Image Text:We can combine the models we have seen so far to explain both real GDP and the price level in the long run. Real GDP is determined according to the production model, which is summarized in Table 4.1 of your textbook where the aggregate production function is Cobb-Douglas with labor share equal to 2/3. The price level is obtained from the quantity theory, which is summarized in Table 8.3 of your textbook. The nominal wage (in dollars) is the product of the real wage and the price level. (i) Express the equilibrium real wage as a function of the capital stock, labor force, and TFP. Express the equilibrium nominal wage as a function of the money supply, velocity of money, and labor force. Suppose TFP increases. What happens to the real and nominal wages? Suppose the money supply increases. What happens to the real and nominal wages? Your answers must be detailed and you must provide the different steps leading to your conclusions. (ii) (iii)
TABLE 4.1
The Production Model: 5 Equations and
5 Unknowns
Unknowns/endogenous
Production function
Rule for hiring capital
Rule for hiring labor
Demand supply for capital
Demand supply for labor
variables: Y, K, L, r, w
Y =ĀK ¹/312/3
1 Y
——= r
3 K
2 Y
3 L
= w
K = K
L = Ī
Parameters/exogenous variables: A, K, L
Transcribed Image Text:TABLE 4.1 The Production Model: 5 Equations and 5 Unknowns Unknowns/endogenous Production function Rule for hiring capital Rule for hiring labor Demand supply for capital Demand supply for labor variables: Y, K, L, r, w Y =ĀK ¹/312/3 1 Y ——= r 3 K 2 Y 3 L = w K = K L = Ī Parameters/exogenous variables: A, K, L
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