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Question 22 of 104

Q.If the entire additional income of an economy is consumed, the value of investment multiplier will be _________ . (Choose the correct alternative) (A) zero

(0) (B) not defined (∞) (C) one
(1) (D) ten (10)
Kerala DhseCBSE Class XII Board 2020Subjective· 1mImportance★★★★★
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When the entire additional income is consumed, the marginal propensity to consume (MPC) is 11, so the investment multiplier k=11−MPC=10k = \frac{1}{1 - \text{MPC}} = \frac{1}{0} is not defined (infinite). The correct alternative is (B) not defined (∞).


The Concept: Why the Multiplier Depends on Consumption

The investment multiplier (kk) measures how many times an initial increase in investment (ΔI\Delta I) boosts the final income (ΔY\Delta Y). The logic is simple: one person’s spending becomes another’s income, which is then partly spent again, creating a chain. The strength of this chain depends on the marginal propensity to consume (MPC) — the fraction of each extra rupee of income that people spend on consumption.

If people spend all of their extra income (MPC = 1), then every rupee of new investment gets fully re-spent, over and over, with no leakage into savings. In theory, this would cause income to grow without bound — the multiplier becomes infinite. But is that the same as “not defined”? Let’s see.


Step-by-Step Reasoning

  1. Recall the multiplier formula. The investment multiplier is derived from the equilibrium condition in a simple Keynesian model:

Y=C+IY = C + I

where C=Cˉ+MPC⋅YC = \bar{C} + \text{MPC} \cdot Y. Solving gives:

k=ΔYΔI=11−MPCk = \frac{\Delta Y}{\Delta I} = \frac{1}{1 - \text{MPC}}

  1. Plug in the given condition. “The entire additional income is consumed” means MPC = 1 (since every extra rupee of income leads to an equal increase in consumption). Substituting:

k=11−1=10k = \frac{1}{1 - 1} = \frac{1}{0}

  1. Interpret the result. …

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