Yolanda trades 100 uncorrelated strategies. She has 100 assistants each flip a coin. Yolanda goes Long 1% of her account for each coin that lands Heads, and goes Short 1% of her account for each coin that lands Tails. The strategies are uncorrelated because the coins are independent.Quote from man:
the more uncorrelated strategies the higher the
overall return/risk figures. period.
Zack trades 5000 uncorrelated strategies. He has 5000 assistants each flip a coin. Zack goes Long 0.02% of his account for each coin that lands Heads, and goes Short 0.02% of his account for each coin that lands Tails. The strategies are uncorrelated because the coins are independent.
Clearly Zack has more uncorrelated strategies than Yolanda. But I don't think he has a higher overall return/risk figure, particularly when commissions and slippage are included. I think the statement above, in bold, needs further qualification.