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UNIVERSIDAD PRIVADA TELESUPECUACIONES DE ECONOMA

La siguiente informacin se refiere a la economa abierta de un pas:

1. Considere el siguiente modelo IS LM:C = 200 + 0.95 YdI = 150 1000iYd = Y - TG = 750T = 200L = 0.2Y 8000iM/P = 1600

Donde i es la tasa de inters

a) Halle las ecuaciones correspondientes a las curvas IS y LM.

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:Y=18200 20000i

LM: L = 0.2Y 8000i1600 = 0.2Y 8000i0.2Y = 8000i + 1600Y = 40000i + 800040000i = Y 8000

LM:i = 0.00003Y 0.2

b) Halle la produccin y tasa de inters de equilibrio. Grafique. Halle los valores de equilibrio de C e I.

Sabemos que: Y = 18200 20000i i= 0.00003Y 0.2

Ahora reemplazamosY = 18200 20000 (0.00003Y 0.2)Y = 18200 0.6Y + 4000Y + 0.6Y = 222001.6Y = 22200Y = 22200/1.6PRODUCCIN: Y = 13875

i = 0.00003Y 0.2i = 0.00003 (13875) 0.2i = 0.41625 0.2TASA DE INTERS: i = 0.21625

C = 200 + 0.95YdC = 200 + 0.95 (Y T)C = 200 + 0.95 (13875 200)C = 200 + 0.95 (13675)C = 200 + 12991.25C = 13191.25

I = 150 1000iI = 150 1000 (0.21625)I = 150 216.25I = - 66.25

c) Suponga ahora que la oferta monetaria aumenta a M/P = 1840. Halle Y, i, C e I y explique los efectos de esta poltica monetaria expansiva. Utilice grficos.

IS: Y = 18200 20000iLM: L = 0.2Y 8000i1840 = 0.2Y 8000i0.2Y = 1840 + 8000iY = 9200 + 40000i40000i = Y 9200i = 0.00003Y - 0.23

AHORA HALLAMOS Y:Y = 18200 20000iY = 18200 20000 (0.00003Y - 0.23)Y = 18200 0.6Y + 4600Y + 0.6Y = 228001.6 Y = 22800Y = 22800/ 1.6Y= 14250

HALLAMOS i:i = 0.00003Y - 0.23i = 0.00003 (14250) 0.23i = 0.4275 0.23i= 0.1975

C = 200 + 0.95YdC = 200 + 0.95 (Y T)C= 200 + 0.95 (14250 200)C = 200 + 0.95 (14050)C = 200 + 13347.5C= 13547.5

INVERSIN: I = 150 1000iI = 150 1000(0.1975)I = 150 197.5I = -47.5

d) Suponga de nuevo que M/P = 1,600 y que el gasto pblico disminuye a G = 200. Resuma los efectos que produce una poltica fiscal recesiva en Y, i y C. Utilice grficos.

.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/0.05Y = 7200 20000i

LM: i = 0.00003Y 0.2

AHORA REEMPLAZAMOSY = 7200 20000iY = 7200 20000 (0.00003Y 0.2)Y = 7200 0.6Y + 4000Y + 0.6Y = 112001.6Y = 11200Y = 11200/1.6Y= 7000

i = 0.00003Y 0.2i = 0.00003 (7000) 0.2i = 0.21 0.2i = 0.01

C = 200 + 0.95YdC = 200 + 0.95 (Y T)C = 200 + 0.95 (7000 200)C = 200 + 0.95 (6800)C = 200 + 6460C = 6660

2. 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 intersa) Determine las ecuaciones de las curvas IS y LM. Grafique el equilibrio de esta economa.

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 8iY = 1094.59 21.62i

LM: L = 0.25Y 10i + 250150 = 0.25Y 10i + 25010i = 0.25Y + 250 15010i = 0.25Y + 100 i = 0.025Y + 10

b) Halle el equilibrio general de esta economa. Es decir determine las soluciones para las siguientes variables: Y, C, I, T, Yd, S (ahorro = Y C - T), i y Dficit Fiscal (T G)

Y = 1094.59 21.62iY = 1094.59 21.62 (0.025Y + 10)Y = 1094.59 0.54Y 216.21.54Y = 878.39Y = 570.38

i = 0.025Y + 10i = 0.025 (570.38) +10i = 14.26 + 10i = 24.26

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 + 100C = 411.41

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 80.08I = - 41.15

T = 0.3Y + 10T = 0.3 (570.38) + 10T = 171.114 + 10T = 181.114

Yd = Y TYd = 570.38 181.114Yd = 389.266

S = Y C TS = 570.38 411.41 181.114S = 22.144

DEFICIT FISCAL = T GDEFICIT FISCAL = 181.114 200

= - 18.886

MACROECONOMA DE LOS NEGOCIOS INTERNACIONALESPgina 1