It would take me about 6 years to double my money in a average index mutual fund. The historical average annual Rate of Return of the S&P 500 has been between about 7% - 12%. The current average annual return from 1926, the year of the S&P’s inception, through 2011 is 11.69%.
My personal best is 18% consistently and I'm not a professional, I double my money every 4 years. (boasting, lol)
The chart below shows how many years it would take to double your money at the interest rates listed.
The Rule of 72: What banks really don't want you to know about.
Rule of 72 Formula
How many years does my money take to double at 18%
72 divided by 18 (percent) = 4 years
72 / 18% = 4 years
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