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2009-01-20
Consider a household with a horizon of two periods and whose income is 4000 today
and 8.000 tomorrow.
 
(a) Suppose the real interest rate is r=0.03. What is the household’s wealth in terms of
today’s consumption? What is the household’s wealth in terms of tomorrow’s
consumption? What is the household’s permanent income?
 
(b) If today’s income unexpectedly increases with 100, what is the change in
permanent income compared to (a)?
 
(c) If income goes up by 200 permanently, what is the change in permanent income
compared to (a)?
 
(d) Suppose that the utility function of the household is given by U = A^0.5 * B^0.5 where
A is today’s consumption and B is tomorrow’s consumption. Calculate optimal
consumption today and tomorrow if r=0.06, income today is 4000, and income
tomorrow is 8.000. Check that the intertemporal budget constraint holds.

最好有详细的步骤,谢谢!

[此贴子已经被作者于2009-1-20 16:45:19编辑过]

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2009-2-24 08:50:00

设一个家户两个时期,今天有4000元,明天8000元,

1,实际利率=r=0.03.用今天消费价值计算该家户的财富。用明天的价格计算该家户的财富是多少?该家户的永久收入是多少?

2,如果今天的收入出乎意料第增加100元,该家户的永久收入与上述有什么不同?

3,如果收入永久第增加200,与第一问比较,永久收入的变化是多少?

4,如果该家户的效用函数是U = A^0.5 * B^0.5 ,A是今天的消费,B是明天的消费。

如果r=0.06,今天的收入是4000,明天是8000,计算消费的最优化。

注意:时期间的预算约束不变。

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