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Ed21

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Gale Pooley
Gale Pooley

ED21

Economy & Finance
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Lecture 21 Economic Development
Quiz 1.What 4 factors are in the HDI? 2.Why would you use the log of a value instead of the value itself? 3.Why would you use the geometric mean instead of the arithmetic mean?
Growth Models Factors Stuff Productivity How you use your stuff
2.2% 10% 32 years 7 years
Growth Catching Up Cutting Edge
Catching Up adopt imitate
Cutting Edge new ideas new inventions new innovations
Model Simplify Assumptions
Capital $100 Income $10 Rate $10 ÷ $100 =10%
Simple Model Income Y Capital K Income = 10% of Capital Y = 0.1K $100 $200 $300 $10 $20 $30
Robert Solow Nobel Prize 1987
Solow Model Output is a function of ideas, capital, education and labor.
Y = Output A = Ideas K = Capital e = education L = Labor Y = F(A, K, eL) Solow Model
Y = F(A, K, eL) Simplify to analyze Assume A , e and L don’t change don’t change = hold constant Y = F(K) Solow Model
Y = F(K) Output is a function of Capital Assume that the function increases at a decreasing rate Diminishing Returns Solow Model
Rates of Return Constant Diminishing Increasing
Rates of Return Constant Increasing Decreasing
Y = F(K) function is not linear diminishing Y = √K Solow Model
Solow Growth Model Capital K Y Output Y = √K
How much output do you get out of the next addition of capital? Diminishing Marginal Product of Capital
Can poor catch up? Capital Per Worker Output Per Worker Big Gain Little Gain Maybe?
Solow Growth Model Capital K Y Output Y = √K S = I = s√K K Y =F(K) Saving = Investment S = I S = s√K Consumption Investment
Solow Growth Model Capital K Y Output Depreciation D Function of K d = rate D = dK Stuff wears out D = dk
Solow Growth Model Capital K Y Output Depreciation D Function of K d = rate D = dK 2% 5% Slope is the rate
Solow Growth Model Y = √K S = I = s√K D = dk Capital K Y Output Steady State D = S = I Consumption
K = 100 s = .30 or 30% d = .025 or 2.5% Y = ? S = ? D = ? Consumption = ? Quiz
Solow Growth Model Y = √K S = I = s√K D = dk Capital K Y Output 100 10 3 2.5
Solow Growth Model Y = √K S = I = s√K D = dk Capital K Y Output 144 12 3.60 Consumption 8.40

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