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Economic
Development
Lecture 5
Growth
Questions?
Intellectual
Financial Physical
Human
Culture
Entrepreneur
doingbusiness.org
Growth Models
How much do you make?
Output
Does it change over time?
Growth
Growth Models
Innovation
Organizing capitals in
more valuable ways
Growth Models
Simplifying
Assumptions
Output
Output =Y
Capital = K
Function of your capitals
Y = F(K)
Growth
Change in Output
∆Y
Growth = g
g = ∆Y ÷Y
Harrod-Domar Growth Model
Tree
Capital
K
Fruit
Output
Y
Relationship
Ratio
v= $100 = $25= 4
K
vY=
100
4
25=
Output =
Capital
Constant
Y =
K
v
Harrod-Domar Growth Model
The v constant is very important
v indicates productivity
smaller the v the greater
productivity
Harrod-Domar Growth Model
Harrod-Domar Growth Model
Y =
K
v
v =
K
Y
K = Yv
25 =
100
4
4 =
100
25
100 =25 x 4
If you want more outputY?
Cannot change v
Increase Capital K
K
vY=
100
4
25=
Change in Output?
Change Output = Change in Capital ÷ v
K
vY=
Total Output
∆K
v∆Y=
Rate of Change = ∆Y ÷Y = Growth Rate = g
∆K
v∆Y
Y Y
g = = =
∆K
Yv
K
vY =Total Output
Rate of Change
∆K
Yvg =
Trees get old and die
Depreciation
d
Loss in Capital eachYear
d x K or dK
Income
Y
Savings
S
Investment
I
=
S = sY S = I
=
Change in Capital = Investment - Depreciation
∆K = I - (dK)
∆K = sY - dK
Depreciate Investment
Income
Y
Capital
K
Savings
sY
Investment
S = I
Depreciation
d
g =
s
v
- d
growth =
Harrod-Domar Growth Model
savings
- depreciation
constant
Save
Invest
Capital Expansion
Growth
Harrod-Domar Growth Model
Harrod-Domar Growth Model
Y =
K
v
g = (s/v) - d
g = (s/v) - d
deprecation = d = 5%
savings = s = 24%
incremental capital output ratio = ICOR = v = 3
g = (24%/3) - 5%
g = 3%
Harrod-Domar Growth Model
Just add capital and
output increases
Harrod-Domar Growth Model
Problems
Assumes saving is sufficient
Not all investments are positive
Fixed v - no flexibility
Harrod-Domar Growth Model

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