1. The Neoclassical Growth Models Presented By :- Sanjukta Kar 1

2. Introduction I will discuss the Solow Swan model which points out the effects of saving, technological advance and population expansion. Next I go over the Ramsey, Cass and Koopmans's closed economy model with intertemporally utility maximizing infinitely lived generations. Lastly, I discuss a version of the overlapping generations model. 2

3. The Solow Swan Model of Fixed Savings Solow and Swan (1956) incorporated a supply side to the Keynesian aggregate demand framework. Lets look at the model- The new element which is of interest is technological progress. Technological shocks are classified as Hicks Neutral with production function as— where A is the exogenous productivity parameter, Harrod Neutral with production function as— where E is the labor augmenting technological shift parameter and EL is the supply of efficiency units of labor. 3

4. The demand side-- The economy is closed and there is no government. Private savings S is a fixed fraction s of current income Y. So we can write- 1. We have a closed economy. So domestic savings= domestic investment. The capital accumulation equation is given by – 2. Where delta is the rate of depreciation. The level of Harrod Neutral productivity E grows at the rate 3a. 4

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10. 10 The Ramsey- Cass - Koopmans Growth Model with Infinitely Lived Representative Dynasty

11. 11 Dividing by Lt we get

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13. Dynamics of the Model 13

14. Implications Effect of a decline of the patience factor beta 14

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16. Effect of a rise in the population growth rate 16

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18. An Overlapping Generations Growth Model 18

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20. Dynamics 20

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22. Comments Questions? Suggestions? 22