Условие:
Consider the following set of equations that characterize the goods market and the money markets\nof an economy:\nConsumption: 𝐶 = 100 + 0.25(𝑌 − 𝑇)\nInvestment: 𝐼 = 150 + 0.25𝑌 − 500𝜌\nGovernment Spending: 𝐺 = 350\nTaxes: 𝑇 = 200\nLending rate: 𝜌 = 𝑟 + 𝑥, where 𝑟 is the real interest rate\nRisk premium: 𝑥 = 0.02\nReal interest rate target: 𝑟 = 0.05\nInflation rates: 𝜋 = 𝜋! = 𝜋 = 0.02\nAssume that initially the economy is in the medium-run equilibrium.\na) Derive the IS and LM equation. Calculate the natural level of output.

