宏观经济学一题（英文）,中英文回答皆可,

宏观经济学一题（英文）,中英文回答皆可,
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.
详细并正确的答案可以增加悬赏分.