3. Consider a Simple Keynesian Model for a closed economy with government. Suppose there does not exist any public sector enterprise in the economy. Income earners are divided into two groups, Group 1 and Group 2, such that the saving propensity of the former is less than that of the latter. Aggregate planned investment is an increasing function of GDP (Y). Start with an initial equilibrium situation. Now, suppose the government imposes and collects additional taxes from Group 1 and uses the tax revenue so generated to make transfer payments to Group 2. Following this: (a) aggregate saving in the economy remains unchanged. (b) aggregate saving in the economy declines. (c) aggregate saving in the economy rises. (d) aggregate saving in the economy may change either way.

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Only one of the options given is the correct answer. Please provide a mathematical explanation for your answer (i think its c). 

3. Consider a Simple Keynesian Model for a closed economy with government. Suppose
there does not exist any public sector enterprise in the economy. Income earners
are divided into two groups, Group 1 and Group 2, such that the saving propensity
of the former is less than that of the latter. Aggregate planned investment is an
increasing function of GDP (Y). Start with an initial equilibrium situation. Now,
suppose the government imposes and collects additional taxes from Group 1 and uses
the tax revenue so generated to make transfer payments to Group 2. Following this:
(a) aggregate saving in the economy remains unchanged.
(b) aggregate saving in the economy declines.
(c) aggregate saving in the economy rises.
(d) aggregate saving in the economy may change either way.
Transcribed Image Text:3. Consider a Simple Keynesian Model for a closed economy with government. Suppose there does not exist any public sector enterprise in the economy. Income earners are divided into two groups, Group 1 and Group 2, such that the saving propensity of the former is less than that of the latter. Aggregate planned investment is an increasing function of GDP (Y). Start with an initial equilibrium situation. Now, suppose the government imposes and collects additional taxes from Group 1 and uses the tax revenue so generated to make transfer payments to Group 2. Following this: (a) aggregate saving in the economy remains unchanged. (b) aggregate saving in the economy declines. (c) aggregate saving in the economy rises. (d) aggregate saving in the economy may change either way.
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