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EC4004
                 Lecture 2




Macroeconomic Priorities
Message:
Macroeconomic Stability Matters
1~National Accounts
2~Growth Accounting
   3~Oresta’s Story
1~ National Accounts
Output = Consumption + Investment +
Government Expenditure
Y=C+I+G
www.gapminder.org
Growth Questions
• What factors caused some countries to grow fast
  and others to grow slow over periods such as 1960
  to 2000? In particular, why did the East Asian
  countries do so much better than the sub-Saharan
  African countries?
• How did countries such as the United States and
  other OECD members sustain growth rates of real
  GDP per person of around 2% per year for a
  century or more?
• What can policy makers do to increase growth rates
  of real GDP per person?
Y = A· F(K, L)



A  Technology Level

K  Capitol Stock – machines and buildings used
by business.

L  Labor Force – number of workers
Production Functions

MPL – Marginal Product of Labor
Diminishing Marginal Product of labor
MPK – Marginal Product of Capital
Diminishing Marginal Product of Capital
Constant Returns to Scale

Double K and L and Y will also double

Therefore, if we multiply K and L by the quantity
1/L we also multiply Y by 1/L to get

Y/ L = A· F( K / L, L/ L)
Per Worker Production Function
               y=f(k)
        y  output per worker
        k  capital per worker
Contributions to GDP Growth
∆Y/Y = ∆A/ A + α·(∆K/K) + β·(∆L/L)

The growth rate of real GDP, ∆Y/Y, equals
the growth rate of technology, ∆ A/A, plus the
contributions from the growth of capital,
α·(∆K/K), and labor, β ·(∆L/L).
Contributions to GDP Growth
   ∆Y/Y = ∆A/A + α·(∆K/K) + β·(∆L/L)
                  0<α<1
                  0<β<1

                   α+β=1
Share of capital income (α) + share of labour
               income (β) = 1
Solow Growth Model
Labor force, L = ( labor force/ population) ·
population

Labor-force participation rate

Assume labor force participation rate is constant.

Labor force growth rate is the population growth rate
Solow Growth Model
Model ignores:
Government
No taxes, public expenditures, debt, or money
International Trade
No trade in goods or financial assets
Solow Growth Model
Assume ∆A/A = 0

∆Y/Y= α·(∆K/K) + (1−α)·(∆L/L)

The growth rate of real GDP is a weighted
average of the growth rates of capital and
labor.
Solow Growth Model
C+ s· ( Y− δ K) = C+ I − δ K

            or

   s· ( Y− δ K) = I − δ K
Real saving = net investment
Solow Growth Model
Y=C+I
Real GDP = consumption + gross investment

Y− δ K = C + ( I − δ K)
Real NDP = consumption + net investment
Solow Growth Model
∆k/k = s·(y/k) − sδ − n

∆y/y = α·(∆k/k)

∆y/y = α·[ s·( y/k) − sδ − n]
Solow Growth Model
steady state.
When k = k∗, ∆k/k equals zero.
∆k/k = 0, k stays fixed at the value k∗.


y* = f(k*)
Solow Growth Model
Y/K =(Y/L) / (K/L)

Y/K = y/k
Solow Growth Model
In the steady state, ∆ k/k equals zero.
s· ( y*/ k*) − sδ − n= 0

s·( y* − δ k*) = nk*

Steady-state saving per worker = steady-
state capital provided for each new worker
Beatriz Orestra’s Story
––Beatriz Orresta
quot;You know, we're not used to this, not
having enough food,quot; said Orresta, with a
hint of embarrassment in her voice.
She paused, and began to weep.
quot;You can't know what it's like to see your
children hungry and feel helpless to stop
it,quot; she said.
quot;The food is there, in the grocery store,
but you just can't afford to buy it
anymore. My husband keeps working, but
he keeps bringing home less and less. We
never had much, but we always had food,
no matter how bad things got. But these
are not normal times.quot;
                    ––Beatriz Orresta
Next Time
Read Barro, chapters 4 and 5

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EC4004 Lecture 2 Macroeconomic Stability

  • 1. EC4004 Lecture 2 Macroeconomic Priorities
  • 5. Output = Consumption + Investment + Government Expenditure Y=C+I+G
  • 7. Growth Questions • What factors caused some countries to grow fast and others to grow slow over periods such as 1960 to 2000? In particular, why did the East Asian countries do so much better than the sub-Saharan African countries? • How did countries such as the United States and other OECD members sustain growth rates of real GDP per person of around 2% per year for a century or more? • What can policy makers do to increase growth rates of real GDP per person?
  • 8. Y = A· F(K, L) A  Technology Level K  Capitol Stock – machines and buildings used by business. L  Labor Force – number of workers
  • 9.
  • 10. Production Functions MPL – Marginal Product of Labor Diminishing Marginal Product of labor MPK – Marginal Product of Capital Diminishing Marginal Product of Capital
  • 11. Constant Returns to Scale Double K and L and Y will also double Therefore, if we multiply K and L by the quantity 1/L we also multiply Y by 1/L to get Y/ L = A· F( K / L, L/ L)
  • 12. Per Worker Production Function y=f(k) y  output per worker k  capital per worker
  • 13. Contributions to GDP Growth ∆Y/Y = ∆A/ A + α·(∆K/K) + β·(∆L/L) The growth rate of real GDP, ∆Y/Y, equals the growth rate of technology, ∆ A/A, plus the contributions from the growth of capital, α·(∆K/K), and labor, β ·(∆L/L).
  • 14. Contributions to GDP Growth ∆Y/Y = ∆A/A + α·(∆K/K) + β·(∆L/L) 0<α<1 0<β<1 α+β=1 Share of capital income (α) + share of labour income (β) = 1
  • 15. Solow Growth Model Labor force, L = ( labor force/ population) · population Labor-force participation rate Assume labor force participation rate is constant. Labor force growth rate is the population growth rate
  • 16. Solow Growth Model Model ignores: Government No taxes, public expenditures, debt, or money International Trade No trade in goods or financial assets
  • 17. Solow Growth Model Assume ∆A/A = 0 ∆Y/Y= α·(∆K/K) + (1−α)·(∆L/L) The growth rate of real GDP is a weighted average of the growth rates of capital and labor.
  • 18. Solow Growth Model C+ s· ( Y− δ K) = C+ I − δ K or s· ( Y− δ K) = I − δ K Real saving = net investment
  • 19. Solow Growth Model Y=C+I Real GDP = consumption + gross investment Y− δ K = C + ( I − δ K) Real NDP = consumption + net investment
  • 20. Solow Growth Model ∆k/k = s·(y/k) − sδ − n ∆y/y = α·(∆k/k) ∆y/y = α·[ s·( y/k) − sδ − n]
  • 21. Solow Growth Model steady state. When k = k∗, ∆k/k equals zero. ∆k/k = 0, k stays fixed at the value k∗. y* = f(k*)
  • 22. Solow Growth Model Y/K =(Y/L) / (K/L) Y/K = y/k
  • 23. Solow Growth Model In the steady state, ∆ k/k equals zero. s· ( y*/ k*) − sδ − n= 0 s·( y* − δ k*) = nk* Steady-state saving per worker = steady- state capital provided for each new worker
  • 25.
  • 26. ––Beatriz Orresta quot;You know, we're not used to this, not having enough food,quot; said Orresta, with a hint of embarrassment in her voice. She paused, and began to weep. quot;You can't know what it's like to see your children hungry and feel helpless to stop it,quot; she said.
  • 27. quot;The food is there, in the grocery store, but you just can't afford to buy it anymore. My husband keeps working, but he keeps bringing home less and less. We never had much, but we always had food, no matter how bad things got. But these are not normal times.quot; ––Beatriz Orresta
  • 28. Next Time Read Barro, chapters 4 and 5