The investment multiplier (k) shows how much total income (GDP) changes for a given change in investment. Its formula is derived from the Marginal Propensity to Consume (MPC).
There are two common formulas for the multiplier:
\[ k = \frac{1}{1 - MPC} \quad \text{or} \quad k = \frac{1}{MPS} \]
Given MPC = 0.2, we can first find the Marginal Propensity to Save (MPS):
\[ MPS = 1 - MPC = 1 - 0.2 = 0.8 \]
Now, we can calculate the multiplier:
\[ k = \frac{1}{MPS} = \frac{1}{0.8} = 1.25 \]