110年 - 110 國立臺灣大學_碩士班招生考試_國際企業研究所甲、乙組:經濟學(F)#101417

科目：台大◆企管◆經濟學(F) | 年份：110年 | 選擇題數：7 | 申論題數：18

試卷資訊

所屬科目：台大◆企管◆經濟學(F)

選擇題 (7)

1.Suppose Alice's utility function is U = , where U is the utility level from owning wealth W. Alice decides to invest in a business which can yield $6,400 with probability 1/5, and $3600 with probability 4/5. What is Alice's expected utility of this investment? (A) 80 (B) 76 (C) 64 (D) 60 (E) None of the above.

2.Alice currently has $50 and is considering investing all of it in an investment that has a 50% chance of being worth $100 and a 50% chance of being worth $0. Alice will? (A)definitely make the investment because the expected utility of the investment exceeds the utility of her $50. (B)definitely not make the investment because the expected utility of the investment is less than the utility of her $50. (C)definitely make the investment because she is indifferent between having SSO and having an investment with an expected value of $50. (D)definitely not make the investment because she is indifferent between having $50 and having an investment with an expected value of $50. (E) None of the above.

3. Alice currently has $100 of wealth, but there is a 50% chance that it could all be stolen. In this situation, Alice's expected utility of receiving S0 50% of the time and receiving $100 50% of the time is ___________.(A)P (B)Q (C)R (D)S (E) None of the above.

4.Alice currently has $100 of wealth, but there is a 50% chance that it could all be stolen. An insurance company offers to reimburse Alice for all of her loss if the money is stolen. What is the most that Alice would pay for such a policy? (A)$30 (B)$50 (C)$70 (D) None of the above.

5. If Alice can drink all the soda she wants for free, how many units will she consume? (A)She would consume an infinite amount of soda if it is free. (B)3 units (C)5 units (D)7 units (E) None of the above.

6.Suppose the price of Soda is $6 per unit and the price of Chocolate is $3 per unit, and Alice has $30 to spend on these two goods. If Alice maximizes her utility, she should buy X units of Soda and Y units of Chocolate. X equals? (A)2 (B)3 (C)4 (D)5 (E) None of the above.

7.Suppose the price of Soda is $6 per unit and the price of Chocolate is $3 per unit, and Alice has $30 to spend on these two goods. If Alice maximizes her utility, she should buy X units of Soda and Y units of Chocolate. Y equals? (A)3 (B)4 (C)5 (D)6 (E) None of the above.

申論題 (18)

1.Suppose that the demand is Q=4500-600P and the food industry is a perfectly competitive one, what will the price be in equilibrium? How many vendors will stay in this market?

2.If the price of a burger is set at $3.0 by law, how many burgers does each of the existing vendors from the above question choose to sell? How many burgers can each vendor sell out of symmetry solution? Will there be a pressure for new entry? Can you explain this lobbying phen nenon?

3.Suppose the city government decides to regulate vendors by issuing permits. If the city issues only 30 permits under a bidding process, how much will a permit cost to a vendor? How will a burger be priced accordingly?

1.Using p to denote the Tikelihood that drilling results in rare earth metals, draw the decision tree of this problem.

2.The company estimates that p = 0.6. What is the expected value of drilling? Should the company go ahead and drill?

3.To be on the safe side, the company hires a specialist to come up with a more accurate estimate of p. What is the minimum vale of p for which it would be the company's best response to go ahead and drill?

4.What are possible strategies are for the leading supermarket? What are possible strategies for the new supermarket?

5.Suppose w ＜ 1 and s ＜ 1, what is the Nash equilibrium?

1. Neverland's total GDP=________ㆍ Show your calculation. (2.5%)

2. Neverland's total consumption C=________.Show your calculation. (2.5%)

3. Neverland's output per labor hour =_______. Show your calculation. (2.5%)

4. Neverland's marginal product of capital=_________. Show your calculation. (2.5%)

5. The capital income share, or the portion of output distributed to capital =_______.Show your calculation. (2.5%)

6. Neverland's total capital stock=z Y.z=_______. Marquis Bors de Ganis states that the capital stock is about 6.33 times of this year's GDP. Marquis de Sade states that the capital stock is about 8.33 times of this year's GDP.

One of the only two Marquises in Neverland, Marquis de Sade and Marquis Bors de Ganis, is a true expert in economics. Which one of these two Marquises is the true expert in economics? Show your work. (2.5%)

7. The rate of capital depreciation δ=__________ %. Show your calculation. (2.5%) )

8. If the real GDP average annual increase is 3.5%. Should Sir Pelleas encourage or discourage the Neverland households to increase their savings? Explain. (2.5%)

9. The relative price of capital = 1. the real interest rate r = 1%. The real total cost of capital =__________%.Show your calculation. (2.5%)

10. Would Neverland 's Tobin's Q be greater than or less than one?_____________ (Fill in greater or less.) Explain. (2.5%)