Re:Buffett wins $1M decade-old bet that the S&P500 would out...
by gmiller123456 on Tuesday September 19, 2017 @09:32AM
(#15284405)
Typo on the 20% chance (that's actually the percentage it lost). The actual probability is about 1/(2^13).
Yes, it's totally possible that Buffet just got lucky. But of the five stocks, over the 9 year period (45 data points), there are only 9 data points where a fund beat the S&P for the year. They all beat the S&P the first year, then for the next 8 years there were only four instances of a fund beating the S&P, and the S&P won for the other 36 data points.
If we were to assume that the funds vs the S&P was an equal playing field (each side had a 50% chance of winning), then there's just a 20% chance that Buffet just got lucky. But the point of actually paying a fund for advice isn't to just have equal odds, the funds are supposed to beat amateurs, and by a significant margin.
What we consider "significant" is obviously open to interpretation. But the most significant win a fund had over the S&P was in 2015 where fund C beat the S&P 5.4% to 1.4%, almost a 4x higher return. But the S&P had larger than 4x returns than the funds 12 times. I'm not exactly sure how to work all of that into a probability, but it's looking like the odds that Buffet just got lucky is pretty close to zero.