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2). Consider the following information for three stocks. Time-0 Time= 1 Price per share $90 $50 $100 Total shares Price er share $108 $90 $55 Total shares outstanding 100 100* 400* Stock outstandingp 100 200 200 Number of shares outstanding for B and C changed due to reverse and regular stock splits, respectively a) Calculate the value-weighted, equal-weighted, and price weighted index weights of stocks A, B and C at time 0. b) Calculate the holding period return on stocks A, B, and C from time 0 to time 1. c) Calculate the value-weighted, equal-weighted, and price-weighted index returns on a portfolio of stocks A, B, and C in the first quarter of 2004?
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Answer #1

for price weighted weights of the stock we use the formula price of stock / sum of price of stock A,B and C

value weighted weights for stock = total value of stock/ sum of total values of stocks A,B,C

equal weights for each stock = 1/3

time, t-0 t-1 2 stock price per share total shares outstanding total value price per share total shares outstanding total value 108 90 50 100 240 100 10800 100 40022000 100 10000 90 39000 253 41800 9 stock value weighted weights equal weighted weights |price weighted weights 10 A 11 B 12 C 0.2308 0.2564 0.5128 0.3333 0.3333 0.3333 0.3750 0.2083 0.4167 14 b 15 stock holding period return 20.00% 10.00% 10.00% 18 C 19 с value weighted return equal weighted return price weighted return 21 portfolio 7.18% 6.67% 9.58%

t-1 time, t-0 total shares outstanding 2 stock total value -83*C3 84*C4 -B5 CS SUM(D3:D5) price per share total shares outstanding 108 90 total value price per share 90 100 100 400 200 100 SUM(B3:B5) -SUM(E3:ES5) -SUM(G3:G5) 9 stock 10 A 11 B 12 C 13 14 b 15 stock 16 A 17 B 18 C 19 C 20 21 value weighted weights D3/SDS6 equal weighted weights price weighted weights B3/SB$6 -B4/$B$6 D5/SDS6 B5/SB$6 holding period return E3-B3)/B3 (E4-(2 B4))/(2*B4) 2 ES)-B5)/B5 value weighted return equal weighted return rice weighted return olio -(B10 SB$16) (B11 $B$17)+(B12 SB$18) (C10 $B$16)+(C11 SB$17)+(C12 $B$18) (D10 SB$16)+(D11 $B$17)+(D12 SB$18)

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