推 o11716nq := =幾分鐘前考完耶 效率好高 01/11 16:31
推 TINTINH :已收精華區:) 01/12 08:26
課程名稱︰個體經濟學一
課程性質︰經濟系必修
課程教師︰江淳芳
開課學院：社會科學院
開課系所︰經濟系
考試日期（年月日）︰2010/01/11
考試時限（分鐘）：120分鐘(延長10分鐘)
是否需發放獎勵金：是
（如未明確表示，則不予發放）
試題 :
選擇題(10%)
1. If current and future consumption are both normal goods, an increase in
the interest rate will necessarily
a. cause savers to save more.
b. cause borrowers to borrow less.
c. reduce everyone's current consumption.
d. make everyone worse off.
e. None of the above.
2. If the interest rate is r and will remain r forever, then a bond that will
pay 95 dollars a year forever, starting one year from now, is worth how
much today?
a. 95/(1+r) dollars.
b. 95(1+r) dollars.
c. 95/r dollars.
d. 95/(1+r^2+…+r^n+…) dollars.
e. None of the above.
計算題(90%)
1.(10%) Mary has income $15 and thinks Hello Kitty and Teddy Bear are perfect
substitutes, one for one. Now Hello Kitty costs $2 per unit and a Teddy Bear
costs $3. If the price of Hello Kitty rises to $5 per unit, how much is the
substitution effect and income effect of price change of Hello Kitty?
2.(15%) Minnie has an income of $300 in period 1 and will have an income of
$625 in period 2. Her utility function is U(c1,c2) = c1^0.80 c2^0.20, where
c1 is her consumption in period 1 and c2 is her consumption in period 2. The
interest rate is 0.25.
(a) When Minnie is not allowed to borrow and lend, what is her marginal rate
of substitution between c1 and c2?
(b) When she can borrow and lend, what is her optimal consumption in period 1
and period 2?
(c) If she unexpectedly won a lottery which pays its prize in period 2 so
that her income in period 2 would be $1,250 and her income in period 1
would remain $300, then her consumption in period 1 would increase or
decrease by what amount?
3.(15%) The inverse demand function for video games is p = 240 - 2q and the
inverse supply function is p = 3 + q. The government imposes a $6 tax on
each video game purchased. Please answer the following questions.
(a) What are the equilibrium prices and quantities before and after tax
imposed?
(b) Please calculate the consumer surplus before and after tax imposed.
(c) Please calculate the producer surplus before and after tax imposed.
(d) How much is the tax revenue received by the government?
(e) What is the deadweight loss resulting from this tax?
4.(10%) Holly consumes only goods X and Y. Her income is $500 and her utility
function is U(x,y) = max{x,y}, where x is the number of units of X she
consumes and y is the number of units of Y she consumes. The price of good Y
is 1. The price of good X used to be 1/3 but is now 2. Please calculate the
equivalent variation of this price change for Holly.
5.(15%) Tom Cruiser's car is worth $100,000. But Tom is careless and leaves
the top down and the keys in the ignition. Consequently his car will be
stolen with probability 0.5. If it is stolen, he will never get it back. His
von Neumann-Morgenstern utility function for wealth is u(w) = ln(w). Suppose
that Tom can buy $K worth of insurance at a price of $0.6K.
(a) Please write down Tom's expected utility when he buys $K worth of
insurance at a price of $0.6K.
(b) Does the insurance plan provide a fair insurance rate?
(c) What is the optimal $K for Tom Cruiser?
6.(15%) Robert and Vivian want to join gamble, they can choose between two
options. Option A gives them $5,000 for sure. Option B gives them $3,000
with probability 0.5 and $9,000 with probability 0.5.
(a) Robert's utility of wealth is 65 units at $3,000, 80 units at $5,000, 88
units at $6,000, and 95 units at $9,000. Which option does Robert prefer?
Is he indifferent between A and B?
(b) Vivian is risk neutral. Which option does Vivian prefer? Is she
indifferent between A and B?
7.(10%) 有一家金礦公司員工罷工3天, 某報紙報導這家公司每天可挖出的金礦價值約100
萬, 挖礦每天的成本為30萬(勞工成本加營運成本), 因此這家報紙的記者推估金礦公司
因為罷工損失了210萬. 請問這樣的計算有沒有問題? 如果有, 有什麼問題?
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