Calculate equilibrium level of income for a hypothetical economy, for which it is given that: 

a) Autonomous Investments =  ₹ 500 crores, and

b) Consumption function, C  = 100 + 0.80Y

Or

Calculate Change in Income (ΔY) for a hypothetical economy. Given that:

a) Marginal Propensity to Consume (MPC) = 0.8, and

b) Change in Investment (ΔI)   = ₹1,000 crores

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1 Answers

Given Consumption function is,

           C=100+0.8 Y 

           Autonomous investments = 500 crores 

We know, at equilibrium level

Y = C+I 

Y = 100+0.8 Y+500 

Y-0.8Y = 600 

0.2 Y = 600 

Y =  ₹ 3,000 crores 

Or 

Given Δ I = ₹1,000 crores 

MPC = 0.8 

As we know, 

Multiplier (K) = \(\frac{1}{1-MPC}\) =  \(\frac{1}{1-0.8}\)\(\frac{1}{0.2}\) = 5 times 

We know  K = \(\frac{ΔY}{Δ1}\) 

5 = \(\frac{ΔY}{1000}\)  

ΔY = ₹ 5,000 crores

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