110年 - 110 國立臺灣大學_碩士班招生考試_農業經濟研究所:經濟學(E)#101823

(a) Assume utility function U(I)=. Calculate the certainty equivaient yield for stocks. What do you conclude about whether this person will invest $1 00,000 in stocks or bonds? (6%)

(b) Assume utility function . Calculate the certainty equivalent yield for stocks. What do you conclude about whether this person will invest $100.000 in stocks or bonds? (6%)

(a) Using backward induction, fold the game back to the first period in which firms make their choice of Enter or Don't enter, Write down the normal form (a 2 by 2 matrix) for this game. (6%)

(b) Solve for the mixed-strategy Nash equilibrium of this game. (6%)

(c) Compare the results from the mixed-strategy Nash equilibrium to the Bertrand Paradox. (6%)

(a) Under this organization of society, what will the total number of fish caught be? Explain the nature of the extemality in this equilibrium. (6%)

(b) The chief of Pago-Pago, having once read an econ nomics book, believes that she can raise the total number of fish caught by restricting the number of fishers allowed on Lake X. What is the correct number of fishers on Lake X to allow in order to maximize the total catch of fish? What is the number of fish caught in this situation? (7%)

(c) Being basically opposed to coercion, the chief decides to require a fishing license for Lake X. If the licensing procedure is to bring about the optimal allocation of labor, what should the cost of license be (in terms of fish)? (7%)

4.中美貿易戰愈演愈烈。2018年四月,美國川普為了減少美中貿易赤字,對部分中國進口產品施以10%~25%的關税。同時,川普大幅減稅刺激經濟,特別是希望能吸引美企將生產從中國移回美國生產。然而,直到2020年底,美對中國的貿易赤字攀升，而非減少請用IS-LMmodel說明,為何美國沒減少對中逆差,反而加劇?(10%)除此之外,欲吸引美國企業將生產從中國移回美國生產的目標也未實現,請說明貿易保護政策長期而言對本國的消費和就業有何影響?(10%)請economic identity推導出，美國要減少美中貿易赤字的根本辦法,是提升儲蓄率(10%)。

5.中2019年的人均收入是10000美元,即將躍出中等收入陷阱,向OECD國家人均收入收斂。然而,中國在1979年的人均收入是155美元,只比二個非洲國家高,也比印度窮許多。如今,中國人均收入約是印度3倍請用 Solow growthmodel解釋中國四十年來的經濟成長奇路(Hint:就 laborcpitlm technology,openness等五點分別說明。建議圖示。)(10%)。

6.目前美國的GDP約是21兆美元,中國的GDP約是15兆美元如果未來數年,美國的GDP平均成長率約2%,

國的GDP平均成長率約5%,而人民幣對美元不升值,約需幾年,中國将成為世界最大經濟體?(5%)假設

人民幣對美元每年平均升值2%,約需幾年,中國將成為世界最大經濟體?(5%)

110年 - 110 國立臺灣大學_碩士班招生考試_農業經濟研究所:經濟學(E)#101823

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