Question

In: Economics

Consider the goods and services market in Keynesian Theory. Which of the following shocks will lead...

Consider the goods and services market in Keynesian Theory. Which of the following shocks will lead to the most flattening of the IS curve. Use the following parameters: [G,T,r,a,b,io,i1]=[100,100,10,100,0.5,10,0.5]

A. An increase in G by 10 units.

B. Increase in Sensitivity of Investment to Change in Interest Rates (i1) from 0.5 to 1

C. A decrease in T by 10 units

D. Decrease in Marginal Propensity to Consume from 0.5 to 0.25

Solutions

Expert Solution

The correct answer is (B)  Increase in Sensitivity of Investment to Change in Interest Rates (i1) from 0.5 to 1

IS equation is given by:

Y = (1/(1-b))(A - i1i) => i = (1/i1)(A - Y(1 - b))

where A = Autonomous expenditure which includes G , T , Autonomous consumption , etc , i = interest rate and b = Marginal Propensity t consume

Where i is in Y axis and Y is on x axis.

For option (A) and (C) :

Change in T , G means that there is change in Autonomous Expenditure A will result in shift in IS curve and will not change the slope. Note that di/dY = (1/i1)(-(1 - b)) = (1/0.5)(- 0.5) = -1

In option (b) there is  Increase in Sensitivity of Investment to Change in Interest Rates (i1) from 0.5 to 1

Now di/dY = (1/i1)(-(1 - b)) = (1/1)(- 0.5) = -0.5

In option (d) there is Decrease in Marginal Propensity to Consume from 0.5 to 0.25

Now di/dY = (1/i1)(-(1 - b)) =  (1/0.5)(-(1 - 0.25)) = -1.5

Hence As slope is highest for option (B). Hence,

Hence, the correct answer is (B)  Increase in Sensitivity of Investment to Change in Interest Rates (i1) from 0.5 to 1


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