DSE 2013 Question 60: Harrod–Domar and Solow growth models
In an economy, aggregate output is produced from capital K and labour L via Yt=αKt+βLt, with α,β>0. Both factors are fully employed; each worker is paid a wage β and each unit of capital a rental α. A constant proportion s of output is saved and invested each period, augmenting next period's capital (no depreciation). The labour force grows at a constant rate n.
Consider the same set of parameter values as above. An increase in the savings ratio:
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In an economy, aggregate output is produced from capital K and labour L via Yₜ=α Kₜ+β Lₜ, with α,β>0. Both factors are fully employed; each worker is paid a wage β and each unit of capital a rental α. A constant proportion s of output is saved and invested each period, augmenting next period's capital (no depreciation). The labour force grows at a constant rate n. Consider the same set of parameter values as above. An increase in the savings ratio: (A) unambiguously increases the steady state value of capital per worker (B) unambiguously decreases the steady state value of capital per worker (C) leaves the steady state value of capital per worker unchanged (D) has an ambiguous effect; a steady state may not exist if the savings ratio increases sufficiently
Also written as: In an economy, aggregate output is produced from capital K and labour L via Y_t=alpha K_t+beta L_t, with alpha,beta>0. Both factors are fully employed; each worker is paid a wage beta and each unit of capital a rental alpha. A constant proportion s of output is saved and invested each period, augmenting next period's capital (no depreciation). The labour force grows at a constant rate n. Consider the same set of parameter values as above. An increase in the savings ratio:
Harrod–Domar and Solow growth models has come up 113 times in 7 exams since 2006.
What this question tests
This question is on The Solow model and its steady state, part of Harrod–Domar and Solow growth models in Economics of Growth and Development.
Growth with substitutable factors: capital per worker settles where saving covers depreciation and dilution.
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