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Ecuaciones de economía
Ecuaciones de economía
Ecuaciones de economía
Ecuaciones de economía
Ecuaciones de economía
Ecuaciones de economía
Ecuaciones de economía
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Ecuaciones de economía

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  1. ECUACIONES DE ECONOMÍALa siguiente información se refiere a la economía abierta de un país:1. Considere el siguiente modelo IS – LM:C = 200 + 0.95 YdI = 150 – 1000iYd = Y - TG = 750T = 200L = 0.2Y – 8000iM/P = 1600Donde i es la tasa de interésa) Halle las ecuaciones correspondientes a las curvas IS y LM.IS: Y = C + I + GY = 200 + 0.95Yd + 150 – 1000i + 750Y = 1100 + 0.95 (Y – T) – 1000iY = 1100 + 0.95 (Y – 200) – 1000iY = 1100 + 0.95Y – 0.95 (200) – 1000iY = 1100 + 0.95Y – 190 – 1000iY – 0.95Y = 910 – 1000i0.05Y = 910 – 1000iY = (910/0.05) – 1000i/0.05IS:LM: L = 0.2Y – 8000i1600 = 0.2Y – 8000i0.2Y = 8000i + 1600Y = 40000i + 800040000i = Y - 8000LM:Y = 18200 – 20000ii = 0.00003Y – 0.2
  2. b) Halle la producción y tasa de interés de equilibrio. Grafique. Halle losvalores de equilibrio de C e I.Sabemos que: Y = 18200 – 20000i ⋀ i = 0.00003Y – 0.2Ahora reemplazamosY = 18200 – 20000 (0.00003Y – 0.2)Y = 18200 – 0.6Y + 4000Y + 0.6Y = 222001.6Y = 22200Y = 22200/1.6PRODUCCIÓNi = 0.00003Y – 0.2i = 0.00003 (13875) – 0.2i = 0.41625 – 0.2TASA DE INTERÉSC = 200 + 0.95YdC = 200 + 0.95 (Y – T)C = 200 + 0.95 (13875 – 200)C = 200 + 0.95 (13675)C = 200 + 12991.25C = 13191.25I = 150 – 1000iI = 150 – 1000 (0.21625)I = 150 – 216.25I = - 66.25c) Suponga ahora que la oferta monetaria aumenta a M/P = 1840. Halle Y,i, C e I y explique los efectos de esta política monetaria expansiva.Utilice gráficos.Y = 13875i = 0.21625
  3. IS: Y = 18200 – 20000iLM: L = 0.2Y – 8000i1840 = 0.2Y – 8000i0.2Y = 1840 + 8000iY = 9200 + 40000i40000i = Y – 9200i = 0.00003Y - 0.23AHORA HALLAMOS Y:Y = 18200 – 20000iY = 18200 – 20000 (0.00003Y - 0.23)Y = 18200 – 0.6Y + 4600Y + 0.6Y = 228001.6 Y = 22800Y = 22800/ 1.6HALLAMOS i:i = 0.00003Y - 0.23i = 0.00003 (14250) – 0.23i = 0.4275 – 0.23C = 200 + 0.95YdC = 200 + 0.95 (Y – T)C = 200 + 0.95 (14250 – 200)C = 200 + 0.95 (14050)C = 200 + 13347.5INVERSIÓN: I = 150 – 1000iY = 14250i = 0.1975C = 13547.5
  4. I = 150 – 1000 (0.1975)I = 150 – 197.5d) Suponga de nuevo que M/P = 1,600 y que el gasto público disminuye aG = 200. Resuma los efectos que produce una política fiscal recesiva enY, i y C. Utilice gráficos.IS: Y = C + I + GY = 200 + 0.95Yd + 150 – 1000i + 200Y = 550 + 0.95 (Y – T) – 1000iY = 550 + 0.95 (Y – 200) – 1000iY = 550 + 0.95Y – 0.95 (200) – 1000iY = 550 + 0.95Y – 190 – 1000iY – 0.95Y = 360 – 1000i0.05Y = 360 – 1000iY = (360/0.05) – 1000i/0.05LM: i = 0.00003Y – 0.2AHORA REEMPLAZAMOSY = 7200 – 20000iY = 7200 – 20000 (0.00003Y – 0.2)Y = 7200 – 0.6Y + 4000Y + 0.6Y = 112001.6Y = 11200Y = 11200/1.6i = 0.00003Y – 0.2i = 0.00003 (7000) – 0.2i = 0.21 – 0.2C = 200 + 0.95YdC = 200 + 0.95 (Y – T)I = - 47.5Y = 7200 – 20000iY = 7000i = 0.01
  5. C = 200 + 0.95 (7000 – 200)C = 200 + 0.95 (6800)C = 200 + 64602. Se tiene el siguiente sistema IS – LMC = 0.8Yd + 100I = 0.1 Yd – 8i + 114T = 0.3 Y + 10Yd = Y – TY = C + I + GL = 0.25Y – 10i + 250G = 200 millones de US$M/P = 150 millones de US$Donde i es la tasa de interésa) Determine las ecuaciones de las curvas IS y LM. Grafique el equilibriode esta economía.IS: Y = C + I + GY = 0.8Yd +100+ 0.1Yd - 8i + 114+200Y = 0.9 (Y – T) + 414 – 8iY = 0.9 [Y – (0.3Y + 10)] +414 – 8iY = 0.9 (Y – 0.3Y – 10) +414 – 8iY = 0.9 (0.7Y – 10) + 414 – 8iY= 0.63Y – 9 +414 – 8iY – 0.63Y = 405 – 8i0.37Y = 405 – 8iLM: L = 0.25Y – 10i + 250150 = 0.25Y – 10i + 25010i = 0.25Y + 250 – 15010i = 0.25Y + 100C = 6660Y = 1094.59 – 21.62ii = 0.025Y + 10
  6. b) Halle el equilibrio general de esta economía. Es decir determine lassoluciones para las siguientes variables: Y, C, I, T, Yd, S (ahorro = Y – C- T), i y Déficit Fiscal (T – G)• Y = 1094.59 – 21.62iY = 1094.59 – 21.62 (0.025Y + 10)Y = 1094.59 – 0.54Y – 216.21.54Y = 878.39• i = 0.025Y + 10i = 0.025 (570.38) +10i = 14.26 + 10• C = 0.8Yd + 100C = 0.8 (Y – T) + 100C = 0.8 [570.38 – (0.3Y + 10)] + 100C = 0.8 [570.38 – 0.3 (570.38) – 10] + 100C = 0.8 [570.38 – 171.114 – 10] + 100C = 0.8 (389.266) + 100C = 311.41 + 100• I = 0.1Yd – 8i + 114I = 0.1 (Y – T) – 8 (24.26) + 114I = 0.1 [570.38 – (0.3Y + 10)] – 194.08 + 114I = 0.1 [570.38 – 0.3 (570.38) – 10] – 80.08I = 0.1 (560.38 – 171.114) – 80.08I = 0.1 (389.266) – 80.08I = 38.93 – 80.08• T = 0.3Y + 10Y = 570.38i = 24.26C = 411.41I = - 41.15
  7. T = 0.3 (570.38) + 10T = 171.114 + 10• Yd = Y – TYd = 570.38 – 181.114• S = Y – C – TS = 570.38 – 411.41 – 181.114• DEFICIT FISCAL = T – GDEFICIT FISCAL = 181.114 – 200T = 181.114Yd = 389.26622.144= - 18.886

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