IS-LM Problem
1. The following equations describe an economy: C = 10 + 0.5y I = 190 – 20r Solution: IS curve describes the equation for product market equilibrium at various combinations of level of income and rate of interest. Y = AD = C + I Y = 10 + 0.5Y + 190 – 20r Y – 0.5Y = 200 – 20r Y (1- 0.5) = 200 – 20r ½ Y = 200 – 20r Y = 400 – 40r. 2. The following equations describe an economy C = 100 + 0.75Yd I = 50 – 25r T = G = 50 Where C is aggregate consumption, Yd is disposable income, I is aggregate investment. T is taxes, G is government purchases and r is the rate of interest. Derive the IS curve for the economy. Solution: Y = C + I + G Now, C = 100 + 0.75Yd = 100 + 0.75 (Y- T) = 100 + 0.75 (Y – 50) I = 50 – 25r G = T = 50 Hence, Y = C + I + G Y = 100 + 0.75 (Y – 50) + 50 – 25r + 50 Y = 200 + 0.75Y – 37.5 – 25r Y – 0.75Y = 162.5 – 25r 0.25Y = 162.5 – 25r Y = 650 – 100r 3. Given the following data about the monetary secto...