A consumer can borrow or lend freely at the market interest…

A consumer can borrow or lend freely at the market interest rate of r=100% per period.   Her utility function is: U = ln(ct) + (1/2)ln(ct+1) She earns Yt=100 and Yt+1=100. But in period t+1 she will have to pay a tax of Tt+1=40.  If she’s maximizing her utility function subject to the IBC, how much will she consume in period t? 

In a two-period world, the government has committed to never…

In a two-period world, the government has committed to never using seignorage to repay the debt, so only taxes and government purchases matter for the intertemporal government budget constraint. In this country, the constitution says that taxes = T = 150 each period, and current government purchases are 250 now. The interest rate (r) is 40% (as usual, think of a big interest rate like this as a generational interest rate if you find that helpful). What will government purchases be in the second period?  Answer with a number: If you think the answer is 400, just write 400 as usual. 

Consider a person who like consumption (C) and dislikes labo…

Consider a person who like consumption (C) and dislikes labor (N) in this way: U = ln(C) – N  This is a one-period model of course.  The person gets to consume by earning wages and by getting a “national dividend” (D) from the government. To keep it simple, we’ll assume that one hour of work yields an one extra unit of the consumption good.  C = N + D This person maximizes utility subject to the above budget constraint. Question: For this person, if the national dividend (D) rises by one unit, how much does total consumption (C) change as a result? In other words, what is dC*/dD for this person?  Answer with a number. If you think dC*/dD is 7, write 7.