The multiplier effect in economics quantifies the increase in total income resulting from an initial spending injection. The multiplier (K) is calculated using the formula:
\(K = \frac {1}{(1 - MPC)}\)
Here, MPC represents the Marginal Propensity to Consume. Given that
\(MPC + MPS = 1\)
the multiplier can also be expressed in terms of MPS (Marginal Propensity to Save) as:
\(K = \frac {1}{MPS}\)
Initially, with an MPS of 0.4, the multiplier is:
\(K_{initial} = \frac {1}{0.4} = 2.5\)
When the MPS rises to 0.5, the new multiplier is:
\(Knew = \frac {1}{0.5}= 2\)
The decrease in the multiplier from 2.5 to 2 indicates that an increase in MPS leads to a reduction in the multiplier's size. Therefore, the multiplier's size would be decreased.
The correct answer is: The size of the multiplier would be decreased
