Consider the following IS-LM model (all amounts are in millions of dollars):                                    C = 50 + 0.6 YD                                    T = 20                                    G = 300                                    I = 450 + 0.2 Y - 1500 i              Derive the IS equation in the form Y = function (i, ….). The central bank sets an interest rate of 10%. What is the full SR model eqm Y? Use (M/P)d=3Y– 4000i to calculate what the real Ms is at this full SR eqm. Graph this eqm in 3 separate graphs: i-Y, i-(M/P), and Z-Y spaces. You may link these graphs up or leave them separate. Suppose Congress decides to decrease G from 300 to 295, cet. par. Provide a specific $ amount for the new eqm Y. Show this “shock,” with its appropriate name, in the 3 graphs of part b. above. Present and discuss all changes in all components of IS and LM using directional arrows.

Managerial Economics: Applications, Strategies and Tactics (MindTap Course List)
14th Edition
ISBN:9781305506381
Author:James R. McGuigan, R. Charles Moyer, Frederick H.deB. Harris
Publisher:James R. McGuigan, R. Charles Moyer, Frederick H.deB. Harris
Chapter5: Business And Economic Forecasting
Section: Chapter Questions
Problem 1.4CE
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Consider the following IS-LM model (all amounts are in millions of dollars):

                                   C = 50 + 0.6 YD

                                   T = 20

                                   G = 300

                                   I = 450 + 0.2 Y - 1500 i             

  1. Derive the IS equation in the form Y = function (i, ….).
  2. The central bank sets an interest rate of 10%. What is the full SR model eqm Y? Use (M/P)d=3Y– 4000i to calculate what the real Ms is at this full SR eqm. Graph this eqm in 3 separate graphs: i-Y, i-(M/P), and Z-Y spaces. You may link these graphs up or leave them separate.
  3. Suppose Congress decides to decrease G from 300 to 295, cet. par. Provide a specific $ amount for the new eqm Y. Show this “shock,” with its appropriate name, in the 3 graphs of part b. above. Present and discuss all changes in all components of IS and LM using directional arrows.
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