110年 - [非官方正解]110 國立臺灣大學_碩士班招生考試_財務金融研究所乙、丙組:經濟學原理#111299

科目：研究所、轉學考(插大)◆經濟學原理 | 年份：110年 | 選擇題數：10 | 申論題數：6

試卷資訊

選擇題 (10)

1. When a nation's current account deficit exceeds its financial account surplus, the overaIl_______ that the nation's central bank is_______foreign central banks. (A)surplus, lending to (B)surplus, borrowing from (C)deficit, lending to (D)deficit, borrowing from

2. Which of the following is NOT consistent with the events leading up to the 2007-2009 financial crisis. (A) Increasing Leverage (B)Increasing House Price (C)Decreasing Equity (D)Increasing Debt

3. Which of the following event increases natural rate of unemployment? (A) Decrease in Government Spending (B)Increase in Real Money Supply (C)Formation of a Business Cartel (D)Weakening of Labor Union

4. Countries A and B are identical in all aspect, except that A is an open economy while B is a closed economy. The government in both countries decide to increase spending. Assumne that prices are fixed.How does the resulting change in GDP differs. (A) GDP increases in B but decreases in A (B)GDP increases in both countries, but more so in A (C)GDP increases in both countries, but more so in B (D)GDP increases in both countries, by the same amount

5. Which of the following would result in a real appreciation of the United States Dollar with respect to the New Taiwan Dollar? (A) Increase in US Doliar per New Taiwan Dollar nominal exchange rate (B)Increase in Price Index of Taiwan (C)Increase in Price Index of United States (D)None of the Above in the "balance of payments outcome" means

6. If the central bank pursues to maintain income constant, an expansionary fiscal policy must be accompanied by _______ monetary policy, and the central bank must allow interest rate to _______significantly. (A) an expansionary, rise (B)an expansionary, fall (C)a contractionary, rise (D)a contractionary, fall

7. Country A is a small open economy. An external shock led to the immediate appreciation of its currency with respect to the United States Dollar. Investor's expectati tions are not affected.What happens to interest rate in Country A. (A) Increase (B)Decrease (C)Unchanged (D)Uncertain

8. Which of the following would contribute towards an increase in debt/output ratio, all other things equal. Assume that nominal interest rate is fixed and there is no Seigniorage. l(A) Slower Inflation (B)Faster Real Output Growth (C)Decreased Government Spending (D)None of the Above

9. Which of the following statements are true? (A) The firm's profit is concave in the vector w (B)The firm's profit is convex in the vector w (C)The firm's profit is both concave and convex in the vector w (D)The firm's profit is neither concave nor convex in the vector w

10. Which of the following statem ments are true? (A) The firm's profit is concave in the vector λ (B) The firm's profit is convex in the vector λ (C)The firm's profit is both concave and convex in the vector λ (D)The firm's profit is neither concave nor convex in the vector λ

申論題 (6)

1(8分)某寡佔市場中有廠商一、二、三共三家廠商；廠商決策變數為自己的產量,且三家廠商之產量分別為q1、q2、q3 。三家廠商均無固定成本,且邊際成本皆為2。該市場之需求函數為:P740-(q₁+q₂+q₃)決策順序為:廠商一與二同時各自決定自己的產量；觀察到q₁與q₂後,廠商三決定q₃。求出均衡時每一家廠商的度量,以及產品均衡價格。

2.(10分)某位父親要將財產分给子女,其有位女兒和一位兒子。該父親有8單位的財貨X與38單位的財貨Y。財貨X 與Y均不在市場上交易,故並新市價。女兒的效用函數為:U_D(x_d，y_d)=3x_d+y_d,其中x_d與y_d為其分到的財貨X與Y的數量。兒子的效用函數為:Us(xs，ys)=xs+3ys，其中xs與ys分別為其分到的財貨X與Y的數量。女兒與兒子所分到之財貨X與Y的數量均需為非負的值,父親的效用函數為:In(U_D(x_d，y_d)+In(Us(xs，ys)),其中In為自然對數函數。求出對父祝最的財產分配,即女兒與兒子各得到幾單位的財貨X與財貨Y。

(a)令m=11,求對廠商最適的F與P_T,以及廠商的利潤。

(a)令m=5,求對廠商最適的F與PT,以及廠商的利潤。

4(10分)考慮產品Z的市場。該市場為完全競乎市場，市場中有許多家生產廠商。每家廠商的生產函數為:, 其中q為產量,L與K分别為其勞動與資本的使用數量；勞動的單位價格為0.5，資本的單位價格為2。該市場中有1萬位消費者，每位消費者的效用函數為:U(x,y)=9In(x)+y,其中x為其消費產品乙的數量,y為其消費其他財貨所花費的支出，In為自然對數函數。每位消費者的所得為1,000。求出均衡時産品Z的償格與銷售數量。

5.(12分)某公司預計雇用一勞工為其工作．令V為勞工為公司帶來的獲利。V=Y+ε,其中Y為勞工努力程度,由勞工決定,ε為一期望位為0,變異數為的隨機變數。勞工努力所花費之心力成本的金錢價值為。公司给勞工的薪酬C可表示為:C-W+av,其中W為固定薪資,a則為其分享獲利的比率,W與a均由公司決定。令對於任一隨機變數x,E(x)與 Var(8)分別為其期望值與變異數。勞工為風險趨避，其效用為:E(C)-2Var(C)-,也就是:薪酬期望值(E(C)扣除薪酬風險的負效用(2 Var(C))與努力的心力成本。勞工保留效用為,其僅在被公司雇用所獲得之效用等於或大於保留效用時才會接受雇用。公司為風險中立,其極大化E(V-C)進行順序為:公司決定W與a；觀察到W與a後,勞工決定是否接受雇用；若接受雇用,則勞工決定Y；勞工決定之後的值實現。求出對公司最適的W與a,以及在此W與a下的Y。