投资学精要英语essenfial of investment )计算分析题.doc

1. Consider the three stocks in the following table. P represents prices at time t ,and Q represents shares outstanding at time t. STOCK C splits two-for-one in the last period. P0 Q0 P1 Q1 P2 Q2 A 90 100 95 100 95 100 B 50 200 45 200 45 200 C 100 200 110 200 55 400 calculate the rate of return on a price-weighted index of the three stocks for the first period(t=0 to t=1). 答案：At t = 0, the value of the index is: (90 + 50 + 100)/3 = 80 At t = 1, the value of the index is: (95 + 45 + 110)/3 = 83.3333 The rate of return is: (83.3333/80) – 1 = 4.167% What must happen to the divisor for the price-weight index in year 2? 答案：In the absence of a split, stock C would sell for 110, and the value of the index would be: (95 + 45 + 110)/3 = 83.3333 After the split, stock C sells at 55. Therefore, we need to set the divisor (d) such that: 83.3333 = (95 + 45 + 55)/d…..d = 2.340 Calculate the rate of return of the price-weighted index for the second period (t=1 to t=2). 答案：The rate of return is zero. The index remains unchanged, as it should, since the return on each stock separately equals zero. 2. using the data in the precious problem, calculate the first period rates of return on the following indexes of the three stocks: a. a market value-weight index. 答案：Total market value at t = 0 is: (9,000 + 10,000 + 20,000) = 39,000 Total market value at t = 1 is: (9,500 + 9,000 + 22,000) = 40,500 Rate of return = (40,500/39,000) – 1 = 3.85% b. an equally weighted index. 答案：The return on each stock is as follows:Ra = (95/90) – 1 = 0.0556 Rb = (45/50) – 1 = –0.10 Rc = (110/100) – 1 = 0.10 The equally-weighted average is: [0.0556 + (-0.10) + 0.10]/3 = 0.0185 = 1.85% 3. suppose you short sell 100 shares of IBM, now selling at $120 per share. a. what is your maximum possible loss? 答案：In principle, potential losses are unbounded, growing directly with increases in the price of IBM. b. what happens to the maximum loss if you simultaneously place a stop-buy order at $128. 答案：If