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Question

Define multiplier. What is the relation between marginal propensity to consume and multiplier? Calculate the marginal propensity to consume if the value of multiplier is 4.

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Solution

Multiplier is the ratio between increase in income and increase in investment. It explains how many times is income increased by increasing the investment.
Multiplier (k) = Change in income/ change in investment
There exists a direct relationship between MPC and the value of multiplier. Higher the MPC, more will be the value of multiplier, and vice-versa. One person’s expenditure is another person’s income. So increase in consumption results into increase in income. People spend a part of this increased income on consumption which depends on the value of MPC.
K= 1 / (1-MPC)
Therefore, if K= 4, MPC= 3/4 or 0.75

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