University of California, Santa Cruz
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ECON
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ECON-202
Answer & Explanation
Ans.A) Consider the given problem here the individual live in two period model "present(t)" and "future(t+1)". So, here the budget constraint of the two periods are given by. =>Ct+St=Yt for "period1" and "Ct+1+St+1=Yt+1+ (1+r)*St" for "period2". Now, since this is a two period model, => St+1=0.
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University of California, Santa Cruz
•
ECON
•
ECON-202
Answer & Explanation
Ans.A) Consider the given problem here the individual live in two period model "present(t)" and "future(t+1)". So, here the budget constraint of the two periods are given by. =>Ct+St=Yt for "period1" and "Ct+1+St+1=Yt+1+ (1+r)*St" for "period2". Now, since this is a two period model, => St+1=0. => Ct+1+St+1=Yt+1+(1+r)*St, => Ct+1= Yt+1+ (1+r)*St, => Ct+1 Yt+1 + (1+r)*(Yt-Ct). =>Ct+1= Yt+1 + (1+r)*(Yt-Ct) = Yt+1 + (1+r)*Yt - (1+r)*Ct. => (1+r)*Ct +Ct+1 = Yt+1+(1+r)*Yt, => Ct+ Ct+1/(1+) = Yt+1/(1+r) + Yt. =Ct +Ct+1/(1+r) = Yt + Yt+1/(1+r), be the "intertemporal budget constraint.
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