•Assume that there are 3 stocks in the market. • Share outstanding and prices are as follows. Stock A Stock B Stock C Outstanding Shares 200 shares 300 shares 100 shares Total Stock Prices Index (Price Wt) Total Market Capitalization Index (Market Cap Wt) Stock Market Indexes Day 0 Price 11 16 17 12 11 39 40 100.00 102.56 8200 8600 100.00 104.88 Day 1 Price 12 Day2 Price 12 14 14 40 102.56 8000 97.56 Day3 Price 11 15 14 40 102.56 8100 98.78 • Each stock is assigned a relative weight in the portfolio. • A price-weighted index (e.g., Dow Jones) is computed by summing the prices of the individual stocks, then dividing by a divisor to determine the base index value. The divisor, such as 100, relates the starting value and is adjusted as stocks split or composition of the index is changed. • A market value-weighted index (e.g., S&P 500) is calculated by summing the total market value of the firms in the index. The percentage change in the total market value of the firms is the return on the index.
According to the explanation of the attached picture in my textbook is that
" price-weighted index (e.g., Dow Jones) is computed by
summing the prices of the individual stocks, then dividing by a
divisor to determine the base index value.
The divisor, such as 100, relates the starting value and is
adjusted as stocks split or composition of the index is changed"
please illustrate the calculation of stock market indexs and market value-weighted index correlatively with the table in picture and the explanation below the table to make me understand why divisor is 100, what's the core concept in calculating both price-weighted index and market value-weighted index in the table
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