1. Consider the Solow model where total national saving (St) is given by the following
St = sYt − hKt
The term, −hKt, reflects the idea that when wealth (as measured by the capital stock) is higher, saving is lower (Wealthier people have less need to save for the future).
(a) Find the steady state values of per worker capital, output, and consumption
(b) What is the effect on the steady state of an increase in h
Ans:-
Total national savings St is equal to,
Here ,total production is denoted by
Capital is and Capital intensity is
actual investment on per unit labours
output given by per unit labour
The value of Savings per head,
At steady state, national savings is equal to ,
The break even investment is the amount which is invested so that the capital intensity does not decline down
Here, output is
Consumption is equal to,
Effective labour is
When the value of increases, the output denoted by increases.
worker capital and cnsumption decreases.
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