By selecting dividend growers you are selecting the best players for your team, you are reducing risk because dividend growth drives price growth. Diversification as in index investing only means you are adding many losers to your portfolio and in some cases indexing adds risk, remember when Nortel made up 35% of the TSX, being index invested under those circumstances would have caused hugh volatility, and even more recently with Valeant flying high and then nosediving.
Dividend growth reduces risk and your income stream steadily rises, even if the stock price fluctuates.

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