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3. Consider the two period setup for the household . Suppose the government initially raises revenue only by taxing interest income. This means the individuals budget constraint is: C2 1(1 T)r where T is the tax rate. The governments revenue is zero in period 1 and TrĢ 0) where C is the individuals choice of Cı given the tax rate. Now suppose the government eliminates the taxation of interest income and instead institutes lump-sum taxes of amounts Tı and T2 in the two periods; thus the individuals budget constraint s now: C2 1+T Y2 -T2 1+T (note that r is the real interest rate and it is assumed constant). Also assume that Y1, Y2,T are exogenous (a) What condition must the new taxes satisfy so that the change does not affect the present value of government revenues? (b) If the new taxes satisfy the condition in part(a), is the old consumption bundle, (c) If the new taxes satisfy the condition in part (a), does first period consumption (d) Explain Ricardian Equivalence in this situation ợ, c not affordable. Just affordable, or affordable with income leftover? rise, fall, or stay the same?

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