Ramsey-Cass-Koopmans Growth Model

Study sheet excerpt

Course Outline

  1. RCK Model Motivation and Assumptions
  2. Households, Population, and Utility
  3. CRRA Preferences and Risk Aversion
  4. Two-Period Consumption Choice
  5. Continuous-Time Euler Condition
  6. Assets, Firms, and Factor Incomes
  7. Intertemporal Budgets and Solvency
  8. Steady State and Capital Dynamics
  9. Phase Diagram and Saddle Path
  10. Golden Rule and Patience
  11. Government and Ricardian Equivalence
  12. Government Spending Shocks

1. RCK Model Motivation and Assumptions

Key Concepts & Definitions

  • RCK model : endogenizes saving by allowing individuals to choose consumption and saving according to their preferences and incentives.

📌 The Solow model cannot analyze the efficiency of different growth paths or compare welfare between steady states because its saving rate is exogenous.

  • In the RCK model, the saving rate varies over time and depends on patience, interest rates, preferences, and new information such as expected tax changes.
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Quiz preview

1. Why can the Solow model not compare the welfare of different steady states as effectively as the RCK model?

2. What is the primary motivation for the development of the RCK model in economic growth theory?

3. What does the RCK model endogenize by incorporating household preferences and incentives?

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Flashcards preview

Why can't the Solow model compare welfare between steady states?

Because its saving rate is exogenous.

RCK Model motivation label

Endogenizes saving, analyzes growth paths.

What does the Ramsey-Cass-Koopmans model endogenize?

Saving by allowing individuals to choose consumption and saving based on preferences and incentives.

Household population growth rate

Given by nn, affects labor supply.

What is the population growth rate symbol in the model?

The population grows at rate nn.

CRRA utility function

u(C)=C1θ1θu(C)=\frac{C^{1-\theta}}{1-\theta}, risk aversion.

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