Presentation on theme: "Lecture 6: Conditional Convergence and Growth"— Presentation transcript:
1 Lecture 6: Conditional Convergence and Growth L11200 Introduction to Macroeconomics 2009/10Lecture 6: Conditional Convergence and GrowthReading: Barro Ch.4 : p83-944 February 2010
2 Introduction Last time: Today Solow model with no variation in s, n, δ, A between nations implies all countries (eventually) move to same GDP per capita and low GDP per capita nations grow faster: ‘absolute convergence’Data appears to reject thisTodayAllow these factors to vary and introduce idea of ‘conditional convergence’
3 Conditional Convergence How do the model’s predictions for growth change when we allow the factors to varyE.g. economies have different saving ratesThe economy with the lower saving rate will have lower steady state k*, y* compared to an economy with a higher saving rateAt any level of K(0), the economy with a higher saving rate will be growing faster
4 Other factors The same is true for n, δ and A Higher n implies lower k*, y*Higher δ implies lower k*, y*Higher A implies higher k*, y*And at any K(0), the economy with higher technology or lower depreciation / population growth will grow faster.
5 Implications for growth rates This gives to implicationsFor a given K(0), the economy with the higher k* will have a faster growth rateFor a given k*, a decrease in K(0) raises the growth rateWe can write this as:
6 Implications for Convergence This may explain the lack of absolute convergenceEconomies don’t converge to the same GDP per capita levels, so growth rate doesn’t depend on level of GDP per capitaMaybe the economies with lower growth rates also have lower k*, y* steady states, so they are on a growth path to a different steady state.
7 Conditional Convergence This is the idea of conditional convergence: each economy is converging to it’s own steady state k*, y* determined by it own s, n, δ, AThis can be tested if we have data on each of these factorsData is available on each: so can plot relationship between per capita GDP and per capita GDP growth conditional on these covariates
8 Conditioning Variables Graph actually hold more than just s, n, δ and A constant. It also controls for other factors which affect k*, y* not in our model:Measures of extent of rule of law and democracyExtent of openness to tradeInvestment in health and educationMeasure of inflation
9 Example I Europe after World War II: Previously strong characteristics, but capital and labour had been destroyed by warSo steady state k*, y* are high, current k low due to effects of warPost WWII fast growth in European economies – consistent with conditional convergence
10 Example II Sub-Saharan African nations are very poor Absolute convergence predicts they should grow rapidlyBut they don’t: because they have poor levels of saving and technological growthAlso (maybe more importantly) they have poor rule of law, governments, education programmes and health systems. All factors which influence k* and y*.
11 Summary of Progress We began with some questions: Why are some economies more developed than other?Why do GDP growth rates vary across nations?What is the relationship between the level of GDP and the growth rate of GDP
12 Explaining the patterns Absolute convergence: all economies have the same steady state. Smaller economies should grow faster, all should converge to same per capita GDP.Limited evidence for thisConditional Convergence: economies converge to own steady-state, conditional on structural factorsMuch stronger empirical evidence
13 Long-Run GrowthQuestion still remains: why do we observe long-run persistent growth rates for U.K. and U.S.?Conditional convergence predict economy moves towards steady stateSo expect growth rate would slow over timeBut growth rate is steady over time: continual, or long-run growth.
14 SummaryConditional convergence more plausible model than absolute convergenceBetter supported by the dataExplains lack of growth in poorly developed nations through structural factorsHow to explain long-run growth?Need a model in which economy can maintain high growth rate continually.