95 051 020 168 234 5262014 033 132 081 117 123

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-0.95% 0.51% 0.20% 1.68% 2.34% 5/26/2014 0.33% 1.32% 0.81% 1.17% 1.23% 5/19/2014 0.24% 2.33% -0.76% 0.40% 2.18% 5/12/2014 -2.53% -0.45% 0.05% -0.33% 0.72% 5/5/2014 0.57% -2.15% -0.20% 1.60% -1.01% 4/28/2014 1.42% 0.03% -0.15% -0.48% 1.07% 4/21/2014 -0.43% 2.93% 0.71% 0.84% 0.24% 4/14/2014 1.23% 1.82% 5.27% 2.13% 1.75% 4/7/2014 1.23% -3.91% 1.07% -1.59% -3.03% 3/31/2014 0.01% 0.00% -1.89% 1.00% 0.55% 3/24/2014 2.39% -2.14% 1.32% 1.56% 0.35% 3/17/2014 -1.40% 1.88% 1.49% 3.31% 3.56%
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3/10/2014 0.76% -3.92% -0.99% -0.55% -1.15% 3/3/2014 -0.36% 0.63% 0.91% 1.29% 3.24% 2/24/2014 0.88% 5.37% 2.71% 1.37% 1.78% 2/17/2014 -1.82% -0.24% -4.60% -1.35% -1.16% 2/10/2014 2.67% 1.92% 2.55% 2.98% 2.33% 2/3/2014 0.90% -0.52% 0.34% 1.76% 0.07% 1/27/2014 -2.53% -2.96% -2.66% -2.39% -0.31% 1/20/2014 -0.88% -2.30% -1.13% -4.79% -1.98% 1/13/2014 -0.52% -1.24% -2.14% 0.34% 0.97% 1/6/2014 -0.19% 0.15% -0.82% 3.10% 1.31% 12/30/2013 -1.92% 0.31% -0.49% -0.54% -0.35% 12/23/2013 0.21% 1.98% 1.54% 0.28% 1.19% 12/16/2013 -0.65% 1.30% 2.04% 0.81% 2.77% 12/9/2013 -2.58% -0.55% -3.09% -3.33% -0.87% 12/2/2013 0.36% -1.03% 1.37% -0.23% 0.20% 11/25/2013 -0.86% 1.86% -0.60% 0.07% -0.77% 11/18/2013 0.13% -1.07% 0.52% 0.91% 1.87% 11/11/2013 2.78% 5.85% 0.42% 0.36% 2.63% 11/4/2013 1.66% -1.98% 1.10% 0.73% 0.09% 10/28/2013 1.43% 0.97% 1.48% 1.38% -0.44% 10/21/2013 1.52% 2.07% 0.64% 0.50% 0.42% 10/14/2013 1.18% -2.16% 2.64% 2.41% 2.97% 10/7/2013 3.18% 0.71% 1.52% 2.42% 0.31% 9/30/2013 -1.55% -0.24% -3.17% 0.67% -0.70% 9/23/2013 -2.78% -1.36% -2.57% -3.34% -2.98% 9/16/2013 0.43% 2.49% 2.54% 1.25% 1.55% 9/9/2013 2.43% 3.79% 0.88% 1.60% 1.82% 9/2/2013 -0.95% -2.43% 0.44% 0.86% 0.85% 8/26/2013 -2.69% 0.81% -0.89% -1.54% -4.01% 8/19/2013 0.14% -2.00% -1.37% -1.08% 0.02% 8/12/2013 -2.15% -4.65% -2.80% -3.29% -0.43% 8/5/2013 0.43% -1.58% -0.15% -2.17% -2.87% 7/29/2013 1.11% 1.87% -1.04% 1.67% 2.23% 7/22/2013 -0.47% -1.45% -1.10% 0.65% -2.14% 7/15/2013 -0.22% -0.81% 0.15% 2.46% 4.18% 7/8/2013 4.02% 2.83% 1.25% 2.38% 1.32% 7/1/2013 1.74% 1.05% 1.02% 2.31% 1.92% 6/24/2013 -0.57% 4.83% 0.88% 3.15% 0.75% 6/17/2013 -0.77% -3.68% -0.76% -2.03% 1.97% 6/10/2013 0.36% -2.27% -2.62% 0.00% -2.68% 6/3/2013 1.28% 0.10% 3.49% 0.86% 1.71% 5/27/2013 -6.46% -0.42% -5.47% -2.34% 0.77% 5/20/2013 2.30% 2.73% -1.71% -1.45% 0.90% 5/13/2013 1.59% 1.11% 1.93% 2.68% 5.53% 5/6/2013 0.73% 2.73% -0.21% 0.01% 0.77% 4/29/2013 2.14% 0.83% 0.33% 0.74% -0.37% 4/22/2013 -5.46% -0.88% -1.32% 0.74% 3.19% 4/15/2013 1.67% 0.51% 3.77% 2.09% -1.41%
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4/8/2013 2.34% 4.96% 2.46% 0.85% 0.16% 4/1/2013 1.51% 0.40% -0.89% 0.62% 0.43% 3/25/2013 -0.27% 0.32% 0.99% 2.22% -0.57% 3/18/2013 1.21% 1.28% 3.79% 0.69% -2.65% 3/11/2013 -1.09% -3.30% -1.00% 1.27% 4.55% 3/4/2013 0.90% 3.33% 1.33% 1.92% 3.09% 2/25/2013 -0.65% 5.13% 0.47% 1.39% -1.21% 2/18/2013 0.59% -2.92% 2.90% 0.12% 1.86% 2/11/2013 1.04% 0.76% -3.54% 0.90% 0.80% 2/4/2013 -0.22% -0.43% 3.22% 1.74% 0.00% 1/28/2013 3.58% -0.77% 1.31% 0.35% -0.03% 1/21/2013 5.43% 3.53% -1.74% 0.94% 0.60% 1/14/2013 1.03% 2.74% 2.12% 1.21% -0.49% 1/7/2013 0.19% 0.82% -2.01% 1.11% 0.46% 12/31/2012 2.85% 4.09% 4.59% 2.94% 2.99% 12/24/2012 -2.31% -1.10% -2.53% -1.13% -1.67% 12/17/2012 -1.75% -1.20% -2.07% -0.60% 3.93% 12/10/2012 -0.51% -3.78% -0.13% 0.34% -0.24% 12/3/2012 0.66% -0.51% 0.13% 1.03% 0.66% 11/26/2012 0.34% 0.38% -0.03% 1.12% -0.57% 11/19/2012 4.06% 4.25% 3.68% 0.53% 3.87% 11/12/2012 -0.28% 1.89% 0.74% -0.98% -0.63% Average 0.16% 0.42% 0.15% 0.32% 0.25% Standard Deviation 1.86% 2.34% 1.96% 1.80% 2.49% Variance 0.0003443 0.0005464 0.000385 0.0003239 0.0006203 Beta 0.5606525 0.9707816 0.6482802 0.7506282 1.076474 PG HD KO JNJ WFC PG 0.0003443 0.0001292 8.63E-005 9.99E-005 0.0001433 HD 0.0001292 0.0005464 0.0001494 0.000173 0.0002481 KO 8.63E-005 0.0001494 0.000385 0.0001155 0.0001657 JNJ 9.99E-005 0.000173 0.0001155 0.0003239 0.0001918 WFC 0.0001433 0.0002481 0.0001657 0.0001918 0.0006203 GOOG 0.0001687 0.000292 0.000195 0.0002258 0.0003238 MSFT 0.0001563 0.0002706 0.0001807 0.0002092 0.0003 AAPL 0.0001458 0.0002525 0.0001686 0.0001952 0.00028 AMZN 0.0001592 0.0002756 0.0001841 0.0002131 0.0003056 LUV 0.00015 0.0002597 0.0001734 0.0002008 0.000288 Average 0.164% 0.418% 0.152% 0.322% 0.253% The SIM var-cov matrix uses the array formula {=IF(B273:K273=A274:A283,B266:K266,MMULT(TRANSPOSE(B268:K268),B268:K268)*L266)} to compute the sample var-cov matrix
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PG 0.3378837 GMVP Statistics HD 0.0817405 Mean retur 0.22% =MMULT(B2 KO 0.2710209 Variance 0.02% {=MMULT(M JNJ 0.3215762 Sigma 1.34% =SQRT(E29 WFC 0.0280641 GOOG -0.031586 MSFT -0.008891 AAPL 0.0068575 AMZN -0.008184 LUV 0.001517 "Uses formula {=MMULT(MINVERSE(B274:K283),IF(A289:A298=A289:A298,1,0))/SUM(MMULT(MINVERSE(B27 289:A298,1,0)))} to compute the global minimum variance portfolio"
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GOOG MSFT AAPL AMZN LUV SP 500 -0.12% -0.06% 1.94% 1.56% -1.26% -0.12% =$'Stock Po 1.29% 0.39% 5.63% 0.96% 0.06% 0.26% 3.10% 6.15% 4.26% 11.34% -9.28% 0.23% -0.15% 1.69% -0.47% -2.02% 0.42% 0.86% 1.10% 1.94% 1.08% 1.34% 1.16% 0.15% 2.04% 2.01% 0.76% 2.89% 4.30% 1.18% 3.24% 0.11% 1.46% 0.65% 1.89% 0.68% 0.89% -1.20% -5.13% -3.26% 0.38% 0.08% -0.67% 1.78% 0.78% 2.14% 3.44% 1.56% -1.16% 0.05% -3.36% -1.27% 1.29% -0.61% 2.31% 1.53% 2.59% 3.43% -0.70% 1.36% 0.57% 0.99% 1.49% -1.39% -0.93% 0.72% -0.41% -0.01% 0.40% -0.99% -1.81% -0.65% -1.47% -0.25% 0.69% -2.00% -4.41% -1.44% -1.45% -0.49% 4.51% -3.23% 0.04% 0.19% -3.28% -1.02% -0.51% -0.55% -6.37% -0.02% 1.76% 1.38% 0.82% 2.35% -2.70% 0.54% 3.99% 4.67% 3.32% 2.33% -3.66% 1.40% 1.08% 0.77% 0.11% 1.11% 3.32% 0.07% -6.07% -3.25% -1.56% -3.63% 0.35% -0.61% 2.71% 1.71% 2.78% 1.61% 2.67% 0.21% -1.06% -0.46% -4.61% 0.96% 1.59% 0.06% -2.68% -2.03% -4.25% -2.86% -1.50% -0.30% 0.42% 2.54% 1.19% 1.09% -0.51% 0.96% 3.93% 3.87% 0.36% 3.68% 4.43% 1.42% 0.19% -1.01% -1.55% -0.16% 1.42% -0.38% 0.55% -0.90% 4.68% 2.87% -2.04% -0.35% 2.31% 0.79% 3.63% 0.99% 3.80% 0.63% 7.18% 3.06% 0.97% 2.90% 1.05% 1.50% 2.36% 2.21% 0.86% 1.55% 2.40% 0.84% -0.13% -1.12% -1.61% -1.15% -0.42% -1.14% -0.59% -0.27% -0.22% 0.94% 1.44% -0.30% 1.84% 1.35% 2.12% 4.73% 2.16% 0.80% -4.52% 0.17% 0.46% -0.79% -1.08% -1.45% 1.05% -0.09% 0.61% -0.02% -4.78% 0.24% 1.69% 1.05% -0.46% 0.30% -5.20% -0.44% 0.05% -0.57% 2.26% 0.55% 0.55% 0.66% 0.07% 0.60% 0.69% 0.02% 2.11% 0.69% 1.75% 0.96% 3.12% 2.11% 4.66% 1.50% 1.51% 0.50% 2.33% 2.11% 3.40% 0.81% -2.69% -3.24% 5.68% -3.11% 0.34% 0.12% 2.25% 4.73% 1.61% 3.34% 3.10% 1.02% -0.35% 0.06% 0.80% -1.08% -0.12% -0.15% 0.21% -0.22% 0.95% 2.62% 2.41% -0.10% 4.35% 1.12% 1.79% 5.97% 0.18% 1.69% -2.32% -1.75% -0.60% -1.42% -1.22% -1.11% -0.11% 1.50% 0.47% 0.37% 1.04% 0.25%
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0.19% 0.53% 1.76% -1.43% 0.49% -0.06% 5.04% 4.49% 3.62% 3.75% 3.85% 3.04% -1.48% -2.14% -1.71% -5.27% 0.96% -0.97% 0.15% 0.97% 1.56% 2.62% 0.83% 1.43% 0.86% 2.23% 1.49% 2.82% 7.09% 0.80% -1.06% 0.53% 0.13% -2.15% 8.22% 3.73% -4.28% -1.96% -4.39% -2.78% 3.02% -1.96% -0.50% 0.35% -2.50% -5.35% -7.97% -0.69% 2.64% 3.83% -0.88% -0.48% 2.65% 0.38% 0.44% -0.66% 3.08% -1.98% 7.15% -0.97% -0.28% 0.35% 0.89% 0.25% -1.09% -0.67% -1.23% 0.30% 0.30% 3.84% 4.34% 0.17% 2.32% 0.31% -1.94% 3.44% 1.76% 1.19% 1.21% 1.83% 10.82% 2.39% -2.03% 0.53% -1.54% -2.56% -4.36% -1.61% 1.21% -2.42% 0.25% -0.62% 0.74% 0.45% 1.69% 0.50% -0.76% 1.33% -2.24% 1.53% 0.05% -0.68% -1.00% -0.55% 1.08% -1.99% -0.47% -0.01% 0.13% -0.03% 1.19% 0.86% -3.58% 0.05% 1.73% 2.23% 3.09% 0.94% 2.24% 0.43% 3.45% 0.19% 5.47% 1.86% -2.19% -0.07% 3.13% 5.21% -0.12% 1.27% -13.18% 0.61% 2.00% 2.64% 2.15% -1.40% 6.26% 1.48% 0.91% 2.20% 0.82% 2.74% 2.35% 1.27% 3.49% 2.63% 2.63% 3.75% 3.31% 3.17% -2.41% -0.60% -2.05% -1.06% -3.66% -1.65% -3.93% -2.66% -3.61% -1.62% -9.10% -1.19% -0.41% -0.60% 0.93% -1.06% 4.55% -0.15% -1.42% -1.02% -2.45% 1.85% -1.52% 0.00% 3.18% 4.00% 5.25% 1.33% 0.33% 2.25% -0.15% -0.90% 5.06% -1.01% 1.50% 0.28% -0.04% 1.36% -1.79% 5.20% -0.41% -0.51% 2.58% 1.04% -1.09% 2.15% -6.67% -0.40% -3.65% -3.76% -11.99% 6.11% -5.75% -1.26% -5.45% -7.21% -3.87% -0.86% 0.45% 0.52% 2.65% 2.24% 1.09% 5.13% 5.55% 1.61%
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