In economics, the multiplier effect refers to the proportional amount of increase in final income that results from an injection of spending. The formula for the multiplier (K) is given by:
\(K = \frac {1}{(1 - MPC)}\)
where MPC is the Marginal Propensity to Consume. Alternatively, since
\(MPC + MPS = 1\)
we can rewrite the multiplier in terms of MPS (Marginal Propensity to Save) as:
\(K = \frac {1}{MPS}\)
Initially, the MPS is 0.4, so the initial multiplier is calculated as:
\(K_{initial} = \frac {1}{0.4} = 2.5\)
When the MPS increases to 0.5, the new multiplier becomes:
\(Knew = \frac {1}{0.5}= 2\)
Since the new multiplier (2) is less than the initial multiplier (2.5), the size of the multiplier decreases. Therefore, when MPS increases, the multiplier decreases.
Hence, the correct answer is: The size of the multiplier would be decreased
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