goods market 1 Flashcards
Snational
Y-C-G
Sprivate = Y-T-C
Spublic = T-G
intertemporal budget constraint
PVLC = PVLR
C1+C2/(1+r) = Y1+Y2(1+r)
plot c2 against c1
vertical intercept is FV, horizontal intercept is PV
convex
slope = -(1+r)
giving up one unit of c1 gains 1+r units of c2
lifetime utility fn
u(c1,c2) = u(c1) + Bu(c2)
higher B means
future utility is worth more today, will be more patient
utility max prob (constrained)
u(c1,c2) = u(c1) + Bu(c2) s.t. c1+c2/(1+r) = y1+y2/(1+r)
utility max prob (unconstrained)
max u(c1,c2) = u(c1) + Bu((1+r)(y1-c1)+y2)
FOC of utility max prob
Euler’s eqn
u’(c1)/Bu’(c2) = 1+r
MRS of c1 for c2 = relative price of c1 in terms of c2 (IC=BL)
if r=p, u’(c1)=u’(c2) implies
c1=c2
higher p/ lower B means
more impatient –> consume more today
u’(c1) = (1+r)/(1+p)u’(c2)
if r>p,
u’(c1)>u’(c2),
u’(c1)>u’(c2), what is the r/s btn c1 and c2
c1<c2
MU is diminishing and MU of c1 is higher
r>p means
c2>c1
increase in y1 impact on c1 and s1
increase PVLR, increase in c1 and c2
increase in s1 as increase in c1 is xMPC
increase in wealth and y2 on c1 and s1
increase in c1 and c2
since y1 is unchanged, fall in s1