11+12 - Solow Growth Flashcards
What is the motivation and idea behind the Solow-Swan model?
- Motivation: Empirically, there has been huge investment in Asia and small investment in Africa. Hence, we have reason to believe that investment is important for growth.
- The Solow-Swan model therefore isolates the role of capital for growth
What is the aggregate production function in the Solow growth model and what do its components mean?
Y =output, K =capital and L =labor
Which three characteristics follow from saying that the production function is “neoclassical”?
- Constant returns to scale (CRS)
- Positive but diminishing marginal products
- Inada Conditions
What is the difference between discrete and continuous time?
- discrete time: quarters, months, periods. A variable keeps their particular value for a certain period.
- continuous time: period is infinitissimately small. A variable keeps their particular value for an infinitissimately small period (time span -> zero)
What does ẏt denote?
ẏt = d yt / d t = evalaution of how y is changing at every instant
What are the Inada conditions?
The Inada conditions are assumptions about the shape of a production function that guarantee the stability of an economic growth path in a neoclassical growth model.
What is Lt in the Solow model?
labor = population (all people work and are equally
productive)
What is this (how can it be rewritten)?
= population growth n (constant), but:
n = fertility - mortality + migration.
How does the assumption of constant depreciation 𝛿 change the equilibrium assumptions in the Solow model?
What is yt in the Solow model?
What is the research question that Solow-Swan asks?
Could an economy grow forever if we increased only capital stock permanently?
What is kt in Solow?
Kt/Lt
What is the growth rate of capital per person, k = K/L?
γkₜ = dot-kt / kt
Describe potential econometric issues which may arise when one tries to estimate the speed of convergence on a cross-section of countries or regions.
The basic problem arises because countries do not necessarily converge to the same steady state of per-capita income. (The steady state value may depend on the initial conditions.)
- If the steady state y is the same for all countries, then OLS is consistent.
- If not: With panel data one might be able to take care of this problem by using a fixed-effects model.
What are shortcomings of the Solow-Swan model?
- The saving rate is exogenous and constant
- This does not allow consumers to behave optimally
- Therefore not possible to discuss how incentives affect the behavior of the economy