Answer to Question #307384 in Macroeconomics for Mark

Question #307384

Consider an economy described by the following equations; 𝐢 = 𝑐0 + 0.75(π‘Œ βˆ’π‘‡); 𝑐0 = 1870 βˆ’ 30π‘Ÿ; 𝐼 = 2280 βˆ’ 70π‘Ÿ (π‘π‘™π‘Žπ‘›π‘›π‘’π‘‘ π‘–π‘›π‘£π‘’π‘ π‘‘π‘šπ‘’π‘›π‘‘); 𝐺 = 3000; 𝑁𝑋 = βˆ’1200 βˆ’ 0.1π‘Œ; 𝑇 = 760 + 0.2π‘Œ; (𝑀⁄𝑃)𝑑 = 0.5π‘Œ βˆ’ 24π‘Ÿ; (𝑀⁄𝑃)𝑠 = 4760.

a) Using the information above, find

i. Autonomous planned spending at zero interest rate

ii. Autonomousplanned spending as a function of interest rate

iii. The multiplier

b) Derive the equations of IS and LM curves

c) Find the equilibrium values of income and interest rate and show the results ona sketch.


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