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QARMA Performance on Extreme Market Move Days
                                    Addressing Questions by Garrett Jones

                                       Partha Chakraborty, Ph.D., CFA

Since Sep 15, 2010, there have been 35 instances where S&P went down by -1.5% or more. We study
QARMA live net returns and Strategy Alpha (= QARMA net return – S&P 500 return).

 10.00%
               QARMA Return Premium over S&P on Extreme Market
                         Days (S&P Return < = -1.5%)
  8.00%
                                             8.30%

  6.00%                                           6.62%

                                                                   5.43%
  4.00%                                    4.54%4.80%                4.29%                 4.27%
                                        3.69%                                3.90%      3.70%
                            3.40%                                               3.46%
  2.00%                              2.74%                  2.84%
                                                               2.81%               2.68%         2.72%
                                                                       2.43%
                                                                          2.39%
              1.79%     1.87% 1.84%                                                                   2.01%
           1.45%1.68%1.69% 1.28%                                                              1.37%1.59%1.50%
                                                         1.14%
                                                      1.09%
  0.00% 0.75%      0.76%                                                             0.48%
             -1.59% -1.57%
          -1.59%-1.78% -1.89% -1.74%                  -1.50%
                                                         -1.55%                               -1.66%
                                                                                                 -1.68%
                   -2.05% -1.95% -1.81%
                             -2.27% -2.03%                             -2.04% -1.94%
                                                                                  -2.00%            -1.86%-2.11%
                                                                                                       -2.21%
 -2.00%                                -2.56%              -2.52%
                                                              -2.67%      -2.50%     -2.47%
                                                                 -2.94%      -2.85%     -2.79%
                                                                    -3.19%
                                                                                           -3.67%
 -4.00%                                        -4.37%
                                                  -4.45%
                                          -4.78%


 -6.00%                                      -6.65%


 -8.00%

                                                 S&P       Alpha


For example on 8/10/2011, S&P returned -6.65%, while QARMA Alpha was +8.3%, implying QARMA net
return of +1.65% ( = -6.65% + 8.30%)

Observations:
   1. Positive Alpha: Not a single day did QARMA have a negative alpha, implying that QARMA
       outperformed S&P on every single extreme down days.
   2. Avoidance of Negative: 54.3% of these days QARMA actually had positive net return.
   3. Average return is positive: Average QARMA return = +0.29%, Average S&P Return = -2.49% for
       these extreme days. Thus average alpha for the extreme down days = +2.78%.

Conclusion: On live trade QARMA has proven demonstrably superior on extreme down market moves.

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Qarma performance on extreme market move days

  • 1. QARMA Performance on Extreme Market Move Days Addressing Questions by Garrett Jones Partha Chakraborty, Ph.D., CFA Since Sep 15, 2010, there have been 35 instances where S&P went down by -1.5% or more. We study QARMA live net returns and Strategy Alpha (= QARMA net return – S&P 500 return). 10.00% QARMA Return Premium over S&P on Extreme Market Days (S&P Return < = -1.5%) 8.00% 8.30% 6.00% 6.62% 5.43% 4.00% 4.54%4.80% 4.29% 4.27% 3.69% 3.90% 3.70% 3.40% 3.46% 2.00% 2.74% 2.84% 2.81% 2.68% 2.72% 2.43% 2.39% 1.79% 1.87% 1.84% 2.01% 1.45%1.68%1.69% 1.28% 1.37%1.59%1.50% 1.14% 1.09% 0.00% 0.75% 0.76% 0.48% -1.59% -1.57% -1.59%-1.78% -1.89% -1.74% -1.50% -1.55% -1.66% -1.68% -2.05% -1.95% -1.81% -2.27% -2.03% -2.04% -1.94% -2.00% -1.86%-2.11% -2.21% -2.00% -2.56% -2.52% -2.67% -2.50% -2.47% -2.94% -2.85% -2.79% -3.19% -3.67% -4.00% -4.37% -4.45% -4.78% -6.00% -6.65% -8.00% S&P Alpha For example on 8/10/2011, S&P returned -6.65%, while QARMA Alpha was +8.3%, implying QARMA net return of +1.65% ( = -6.65% + 8.30%) Observations: 1. Positive Alpha: Not a single day did QARMA have a negative alpha, implying that QARMA outperformed S&P on every single extreme down days. 2. Avoidance of Negative: 54.3% of these days QARMA actually had positive net return. 3. Average return is positive: Average QARMA return = +0.29%, Average S&P Return = -2.49% for these extreme days. Thus average alpha for the extreme down days = +2.78%. Conclusion: On live trade QARMA has proven demonstrably superior on extreme down market moves.