Most indices in India are weighted by market capitalisation. If the market cap of a stock falls and that of another rises, the former is discarded and the latter is included in the index.
Why does a portfolio comprising index discards outperform the index?
Studies have found that a portfolio of index discards beats the index. When it is announced that a stock will join an index, it attracts investors' attention and they buy it.
Many institutions have exchange-traded and index funds. They invest in the stock when it is included in the index, driving its price up. By the time the

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