Q1. Derive the equations for IS and LM curves. Specify the parameters of the model. Explain how the levels of equilibrium output and interest rate are influenced by changes in these parameters.
- IS curve: Equilibrium in the goods market (Y = C + I + G).
- LM curve: Equilibrium in the money market (M/P = L(Y, i)).
- IS curve parameters: c₀, c₁, I₀, b, G₀, T₀ (autonomous spending, MPC, investment sensitivity).
- LM curve parameters: k, h, M₀, P₀ (income/interest sensitivity of money demand, money supply, price level).
Answer: The IS-LM model is a macroeconomic tool that illustrates the interaction between the goods market (IS curve) and the money market (LM curve) to determine equilibrium levels of output (Y) and interest rate (i). **Derivation of the IS Curve Equation** The IS (Investment-Saving) curve represents the equilibrium in the goods market. In a simple closed economy, aggregate expenditure (AE) is given by: AE = C + I + G Where: C = Consumption I = Investment G = Government Spending We define the behavi...