Consider the following short-run IS-LM model. Assume the central bank targets the           nominal interest rate and expected inflation is zero.                 C = 300 + .50YD               I = 1000 + .10Y – 5000i               G = 700               T = 600               M/P = 100 + .25Y - 6250i               P = 1               i = .06               Y-T = YD         Solve for the IS equation and the LM equation. Find the equilibrium and also show it on a graph of IS-LM. Find the equilibrium values for C, I, and the money supply M. Consider a fiscal stimulus: what is the impact on Y if G rises by 100? What is the impact on I in this case? What is the impact on the interest rate and the money supply? Return to your original analysis. Consider a monetary stimulus where the central bank sets a new target interest rate, i = .04. Find the new equilibrium values for Y, C, and I. Find and discuss any change in the money supply. What causes the change in I in this case? Explain.

ENGR.ECONOMIC ANALYSIS
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Chapter1: Making Economics Decisions
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Consider the following short-run IS-LM model. Assume the central bank targets the           nominal interest rate and expected inflation is zero.

 

              C = 300 + .50YD

              I = 1000 + .10Y – 5000i

              G = 700

              T = 600

              M/P = 100 + .25Y - 6250i

              P = 1

              i = .06

              Y-T = YD      

 

  1. Solve for the IS equation and the LM equation.
  2. Find the equilibrium and also show it on a graph of IS-LM.
  3. Find the equilibrium values for C, I, and the money supply M.
  4. Consider a fiscal stimulus: what is the impact on Y if G rises by 100? What is the impact on I in this case?
  5. What is the impact on the interest rate and the money supply?
  6. Return to your original analysis. Consider a monetary stimulus where the central bank sets a new target interest rate, i = .04. Find the new equilibrium values for Y, C, and I.
  7. Find and discuss any change in the money supply.
  8. What causes the change in I in this case? Explain.
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