B1 (b). Show consumption c₁ and c₂ (you can use algebraic or graphical methods). In the answer, you should discuss whether a 20 or a₁ <0 and provide an economic interpretation. What determine(s) the sign of a, and why? B1 (c). Explain how a credit constraint can be modeled by a 20 and under this constraint how does your answer to B1(b) change? How does it change if there is a banking markup such that the borrowing interest rate is above the interest rate of r = 0 assumed earlier? Hint: try to relate your reasoning to the permanent income hypothesis. B1 (d). Suppose ao = Ao/P₁ where Ao 20 denotes the savings in nominal terms. Consider a supply-side shock that leads to a surprise significant increase of the price level only in period 1. Should the government change its tax plan if a 20 is imposed?

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Chapter1: Making Economics Decisions
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Part C and D

constraints of the representative households and of the government. Explain the role played by
the assumption that the representative households lives for only two periods and the assumption
of “no discounting".
B1 (b). Show consumption c1 and cz (you can use algebraic or graphical methods). In the
answer, you should discuss whether a1 > 0 or az < 0 and provide an economic interpretation.
What determine(s) the sign of a, and why?
B1 (c). Explain how a credit constraint can be modeled by a, 20 and under this constraint
how does your answer to B1(b) change? How does it change if there is a banking markup such
that the borrowing interest rate is above the interest rate of r = 0 assumed earlier? Hint: try
to relate your reasoning to the permanent income hypothesis.
B1 (d). Suppose ao = Ao/P where Ao 20 denotes the savings in nominal terms. Consider
a supply-side shock that leads to a surprise significant increase of the price level only in period
1. Should the government change its tax plan if a1 20 is imposed?
Transcribed Image Text:constraints of the representative households and of the government. Explain the role played by the assumption that the representative households lives for only two periods and the assumption of “no discounting". B1 (b). Show consumption c1 and cz (you can use algebraic or graphical methods). In the answer, you should discuss whether a1 > 0 or az < 0 and provide an economic interpretation. What determine(s) the sign of a, and why? B1 (c). Explain how a credit constraint can be modeled by a, 20 and under this constraint how does your answer to B1(b) change? How does it change if there is a banking markup such that the borrowing interest rate is above the interest rate of r = 0 assumed earlier? Hint: try to relate your reasoning to the permanent income hypothesis. B1 (d). Suppose ao = Ao/P where Ao 20 denotes the savings in nominal terms. Consider a supply-side shock that leads to a surprise significant increase of the price level only in period 1. Should the government change its tax plan if a1 20 is imposed?
Term 1 Section
Consider the two-period household-maximization model discussed in
class. The model is modified in order to look at applications including credit constraints,
interest-rate markups, and taxation. A representative household lives for two periods and
maximizes utility of consumption in period 1 and in period 2. The utility is represented by
log(c) where c denotes consumption. Assuming no discounting between period 1 and period 2.
The maximization problem for the representative household can be written as
max{log c + log c2}
C1 + a1 = Y1 - Tị + (1+ r)ao
C2 = y2 - T2 + (1+r)a1
where yi and y2 denote income levels in period 1 and period 2, 71 and T2 are taxes in the two
periods, and ao and a, denote the assets of the households in each period. ao is exogenously
given. Assume the interest rate r = 0, and the government can borrow or save at the same
interest rate so that its present-value budget constraint is given by
91 + 92 = T1 + T2
92 are exogenous government expenditures in the two periods.
B1 (a). Explain what is meant by a representative household. Briefly explain the budget
where
91
and
Transcribed Image Text:Term 1 Section Consider the two-period household-maximization model discussed in class. The model is modified in order to look at applications including credit constraints, interest-rate markups, and taxation. A representative household lives for two periods and maximizes utility of consumption in period 1 and in period 2. The utility is represented by log(c) where c denotes consumption. Assuming no discounting between period 1 and period 2. The maximization problem for the representative household can be written as max{log c + log c2} C1 + a1 = Y1 - Tị + (1+ r)ao C2 = y2 - T2 + (1+r)a1 where yi and y2 denote income levels in period 1 and period 2, 71 and T2 are taxes in the two periods, and ao and a, denote the assets of the households in each period. ao is exogenously given. Assume the interest rate r = 0, and the government can borrow or save at the same interest rate so that its present-value budget constraint is given by 91 + 92 = T1 + T2 92 are exogenous government expenditures in the two periods. B1 (a). Explain what is meant by a representative household. Briefly explain the budget where 91 and
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