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Marco Economics Homework

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Chapter 12 problem 6 * Given s=.16, =.1, labor force growth rate=.02, technology growth=.04 * K/(AN) = (s/(+gA+gN))2 = (.16/(.1+.02+.04))2 =1 * Y/(AN)= (K/AN)1/2=1 * At steady state gY/(AN) = 0 * gY/N = gA=.04 * gY = gA+gN=.06 * Given s=.16, =.1, labor force growth rate=.02, technology growth=.08 * K/(AN) = (s/(+gA+gN))2 =(.16/(.1+.02+.08))2 = 0.64 * Y/(AN)= (K/AN)1/2= (.64)1/2=0.8 * Steady state gY/(AN) = 0 * gY/N = gA=8% * gY = gA+gN=10%
Explain: When rate of technological progress increases, steady-state’s capital and output per effective worker will decrease but the rate of growth of output per worker will increases. * Given s=.16, =.1, labor force growth rate=.06, technology growth=.04 * K/(AN) = (s/(+gA+gN))2 = (.16/(.1+.04+.06))2 = 0.64 * Y/(AN)= (K/AN)1/2=0.8 * Steady-state gY/(AN) = 0 * gY/N = gA=4% * gY = gA+gN=10%
People are better-off in case a. Considering Y/N=AY/(AN)=A(K/(AN))1/2=A1/2(K/N)1/2, the level of capital per effective worker is higher at every point in case (a).

Chapter 18 problem 4 a) GDP=15;Consumers spend 5 on each good. b) Trade balance=0. Country A exports clothes to B, B exports cars to C, and C exports computers to A. c) Individually, Trade balance≠0. d) Not necessarily,US will have balanced trade with any particular country, even if its overall trade deficit is eliminated.

Chapter 19 problem 8 a) Y =C+I+G+X–IM=10+0.8(Y-10) +10+10+0.3Y*-0.3Y
Y = [1/(1- .8 + .3)](12 +10+ 0.3Y*) = 2(12 + G + 0.3Y*) = 44 + 0.6Y*
Fix foreign output multiplier=1/(1-0.8+0.3)=2;Close economy multiplier =1/(1-0.8)=5;Open economy’s multiplier is smaller, since increases in autonomous demand occurs on foreign goods b) Y=Y*=110; multiplier=1/(1-0.8 -0.3*0.6 +0.3)=3.125, which is higher than open economy multiplier,

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