Investment multiplier can be expressed as:
Marginal Propensity to save refers to the percentage change in savings for every one rupee of change in the income. It is the ratio between the change in income and its corresponding change in savings.
Multiplier(k) => Change in income / change in investment = 1/ MPS(s) where s is the marginal propensity to save.
Therefore, there is an inverse relationship between investment multiplier and marginal propensity to save which means if marginal propensity to save increases, investment multiplier decreases and vice-versa.