complete the attached finance work

profileiamnickok
copy_of_8639484_q2.xlsx

QPS2

FIN 5620 - Jack De Jong: Fall 2014
Data for Problem 2 on QPS #2
Ticker Name of Exchange Traded Fund
1 SPY SPDR S&P 500 ETF
2 MDY SPDR S&P MidCap 400 ETF
3 IWM iShares Russell 2000 ETF
4 QQQ Power Shares QQQ ETF
5 EFA iShares MSCI EAFE ETF
6 VWO Vanguard FTSE Emerging Markets Stock Index ETF
7 VNQ Vanguard REIT Index ETF
8 BND Vanguard Total Bond Market ETF
9 PFF iShares US Preferred Stock ETF
10 GLD SPDR Gold Shares ETF
11 JNK SPDR Barclays High Yield Bond ETF
Adjusted Closing Prices:
Date SPY MDY IWM QQQ EFA VWO VNQ BND PFF GLD JNK
9/1/09 $ 95.41 $ 118.45 $ 55.94 $ 39.96 $ 46.88 $ 33.89 $ 34.31 $ 67.77 $ 26.00 $ 98.85 $ 25.73
10/1/09 $ 93.58 $ 113.11 $ 52.31 $ 38.74 $ 45.70 $ 33.07 $ 32.78 $ 67.95 $ 25.09 $ 102.53 $ 25.66
11/2/09 $ 99.34 $ 117.86 $ 53.94 $ 41.20 $ 47.49 $ 35.45 $ 34.93 $ 68.84 $ 25.47 $ 115.64 $ 26.02
12/1/09 $ 101.24 $ 125.04 $ 58.22 $ 43.34 $ 47.83 $ 36.55 $ 37.51 $ 67.84 $ 27.00 $ 107.31 $ 26.97
1/4/10 $ 97.56 $ 121.02 $ 56.05 $ 40.54 $ 45.41 $ 34.09 $ 35.44 $ 68.71 $ 27.27 $ 105.96 $ 27.02
2/1/10 $ 100.61 $ 127.14 $ 58.56 $ 42.40 $ 45.53 $ 34.74 $ 37.42 $ 68.94 $ 28.27 $ 109.43 $ 27.20
3/1/10 $ 106.73 $ 136.25 $ 63.37 $ 45.67 $ 48.43 $ 37.58 $ 41.23 $ 68.78 $ 28.78 $ 108.95 $ 28.14
4/1/10 $ 108.38 $ 141.94 $ 66.97 $ 46.70 $ 47.08 $ 37.50 $ 44.18 $ 69.52 $ 28.79 $ 115.36 $ 28.67
5/3/10 $ 99.77 $ 131.92 $ 61.93 $ 43.25 $ 41.81 $ 34.06 $ 41.82 $ 70.30 $ 27.54 $ 118.88 $ 27.17
6/1/10 $ 94.61 $ 123.25 $ 57.13 $ 40.66 $ 40.94 $ 33.87 $ 39.64 $ 71.32 $ 28.06 $ 121.68 $ 27.42
7/1/10 $ 101.07 $ 131.64 $ 60.98 $ 43.61 $ 45.70 $ 37.33 $ 43.45 $ 71.94 $ 30.00 $ 115.49 $ 28.81
8/2/10 $ 96.52 $ 125.11 $ 56.44 $ 41.38 $ 43.96 $ 36.38 $ 42.89 $ 73.06 $ 30.69 $ 122.08 $ 28.69
9/1/10 $ 105.17 $ 139.21 $ 63.46 $ 46.83 $ 48.35 $ 40.53 $ 44.81 $ 73.05 $ 30.80 $ 127.91 $ 29.71
10/1/10 $ 109.19 $ 143.93 $ 66.09 $ 49.79 $ 50.19 $ 41.79 $ 46.93 $ 73.29 $ 30.85 $ 132.62 $ 30.57
11/1/10 $ 109.19 $ 148.20 $ 68.40 $ 49.71 $ 47.77 $ 40.60 $ 46.06 $ 72.79 $ 30.65 $ 135.42 $ 29.99
12/1/10 $ 116.48 $ 157.90 $ 73.89 $ 52.07 $ 51.74 $ 43.68 $ 48.16 $ 72.05 $ 30.74 $ 138.72 $ 30.81
1/3/11 $ 119.20 $ 160.94 $ 73.62 $ 53.54 $ 52.82 $ 42.17 $ 49.73 $ 72.11 $ 30.96 $ 129.87 $ 31.42
2/1/11 $ 123.34 $ 168.25 $ 77.70 $ 55.24 $ 54.70 $ 42.10 $ 52.07 $ 72.32 $ 31.47 $ 137.66 $ 31.84
3/1/11 $ 123.35 $ 172.61 $ 79.66 $ 54.99 $ 53.39 $ 44.40 $ 51.23 $ 72.21 $ 31.77 $ 139.86 $ 31.83
4/1/11 $ 126.93 $ 177.15 $ 81.76 $ 56.57 $ 56.39 $ 45.90 $ 54.17 $ 73.27 $ 32.28 $ 152.37 $ 32.34
5/2/11 $ 125.50 $ 175.52 $ 80.29 $ 55.88 $ 55.15 $ 44.55 $ 54.92 $ 74.14 $ 32.47 $ 149.64 $ 32.52
6/1/11 $ 123.39 $ 171.06 $ 78.36 $ 54.75 $ 54.48 $ 44.10 $ 53.10 $ 73.86 $ 32.29 $ 146.00 $ 32.20
7/1/11 $ 120.92 $ 165.14 $ 75.69 $ 55.66 $ 53.19 $ 43.83 $ 53.94 $ 75.06 $ 31.68 $ 158.29 $ 32.43
8/1/11 $ 114.27 $ 153.32 $ 68.96 $ 52.84 $ 48.53 $ 39.85 $ 50.90 $ 76.30 $ 31.09 $ 177.72 $ 31.44
9/1/11 $ 106.34 $ 137.25 $ 61.27 $ 50.47 $ 43.28 $ 32.50 $ 45.39 $ 76.81 $ 29.47 $ 158.06 $ 29.53
10/3/11 $ 117.94 $ 155.86 $ 70.53 $ 55.71 $ 47.45 $ 37.67 $ 51.87 $ 76.90 $ 31.06 $ 167.34 $ 32.01
11/1/11 $ 117.46 $ 155.48 $ 70.26 $ 54.21 $ 46.42 $ 37.03 $ 49.90 $ 76.85 $ 30.08 $ 170.13 $ 31.30
12/1/11 $ 118.69 $ 154.55 $ 70.62 $ 53.88 $ 45.41 $ 35.49 $ 52.32 $ 77.76 $ 30.12 $ 151.99 $ 32.38
1/3/12 $ 124.20 $ 164.73 $ 75.67 $ 58.42 $ 47.80 $ 39.31 $ 55.66 $ 78.25 $ 32.25 $ 169.31 $ 33.24
2/1/12 $ 129.59 $ 172.16 $ 77.61 $ 62.16 $ 50.11 $ 41.45 $ 55.02 $ 78.28 $ 33.23 $ 164.29 $ 33.95
3/1/12 $ 133.76 $ 175.48 $ 79.54 $ 65.30 $ 50.32 $ 40.37 $ 57.88 $ 77.89 $ 33.29 $ 162.12 $ 33.54
4/2/12 $ 132.86 $ 174.98 $ 78.25 $ 64.54 $ 49.28 $ 39.53 $ 59.53 $ 78.75 $ 33.36 $ 161.88 $ 34.05
5/1/12 $ 124.88 $ 163.69 $ 73.10 $ 60.00 $ 43.79 $ 35.31 $ 56.85 $ 79.48 $ 32.97 $ 151.62 $ 32.87
6/1/12 $ 129.95 $ 166.85 $ 76.80 $ 62.17 $ 46.87 $ 37.08 $ 59.99 $ 79.53 $ 33.77 $ 155.19 $ 34.25
7/2/12 $ 131.49 $ 166.81 $ 75.63 $ 62.79 $ 46.91 $ 37.16 $ 61.19 $ 80.51 $ 34.28 $ 156.49 $ 34.82
8/1/12 $ 134.78 $ 172.73 $ 78.30 $ 66.04 $ 48.41 $ 37.25 $ 61.18 $ 80.64 $ 34.79 $ 164.22 $ 35.25
9/4/12 $ 138.20 $ 175.64 $ 80.86 $ 66.63 $ 49.72 $ 39.23 $ 60.04 $ 80.79 $ 35.04 $ 171.89 $ 35.51
10/1/12 $ 135.68 $ 174.01 $ 79.10 $ 63.11 $ 50.27 $ 39.01 $ 59.49 $ 80.71 $ 35.40 $ 166.83 $ 35.82
11/1/12 $ 136.45 $ 178.01 $ 79.54 $ 63.94 $ 51.66 $ 39.51 $ 59.34 $ 80.75 $ 35.27 $ 166.05 $ 36.02
12/3/12 $ 137.67 $ 182.08 $ 82.42 $ 63.64 $ 53.93 $ 42.30 $ 61.55 $ 80.05 $ 35.41 $ 162.02 $ 36.54
1/2/13 $ 144.72 $ 194.98 $ 87.56 $ 65.34 $ 55.94 $ 42.33 $ 63.85 $ 79.49 $ 35.89 $ 161.20 $ 36.64
2/1/13 $ 146.57 $ 196.60 $ 88.44 $ 65.57 $ 55.22 $ 41.33 $ 64.62 $ 79.92 $ 36.08 $ 153.00 $ 36.90
3/1/13 $ 152.13 $ 206.12 $ 92.56 $ 67.55 $ 55.94 $ 40.81 $ 66.48 $ 79.98 $ 36.48 $ 154.45 $ 37.29
4/1/13 $ 155.05 $ 207.35 $ 92.23 $ 69.26 $ 58.75 $ 41.63 $ 70.96 $ 80.79 $ 36.87 $ 142.77 $ 38.06
5/1/13 $ 158.71 $ 212.09 $ 95.86 $ 71.74 $ 56.97 $ 39.52 $ 66.72 $ 79.24 $ 36.62 $ 133.92 $ 37.18
6/3/13 $ 156.60 $ 207.22 $ 95.08 $ 70.02 $ 55.45 $ 37.40 $ 65.39 $ 77.93 $ 35.82 $ 119.11 $ 36.37
7/1/13 $ 164.69 $ 221.04 $ 102.05 $ 74.44 $ 58.40 $ 37.66 $ 65.98 $ 78.23 $ 35.62 $ 127.96 $ 37.29
8/1/13 $ 159.75 $ 212.50 $ 98.82 $ 74.15 $ 57.26 $ 36.37 $ 61.38 $ 77.56 $ 34.84 $ 134.62 $ 36.90
9/3/13 $ 164.80 $ 223.88 $ 105.23 $ 77.73 $ 61.74 $ 39.02 $ 63.51 $ 78.42 $ 35.08 $ 128.18 $ 37.25
10/1/13 $ 172.44 $ 231.98 $ 107.78 $ 81.59 $ 63.75 $ 40.71 $ 66.39 $ 79.09 $ 35.40 $ 127.74 $ 38.19
11/1/13 $ 177.55 $ 234.86 $ 112.04 $ 84.48 $ 64.10 $ 40.33 $ 62.90 $ 78.86 $ 35.52 $ 120.70 $ 38.48
12/2/13 $ 182.15 $ 242.28 $ 114.31 $ 86.96 $ 65.49 $ 40.21 $ 62.96 $ 78.36 $ 35.06 $ 116.12 $ 38.68
1/2/14 $ 175.73 $ 236.90 $ 111.14 $ 85.28 $ 62.09 $ 36.82 $ 65.66 $ 79.57 $ 36.10 $ 120.09 $ 38.90
2/3/14 $ 183.73 $ 248.42 $ 116.45 $ 89.68 $ 65.89 $ 38.01 $ 68.98 $ 79.95 $ 36.92 $ 127.62 $ 39.80
3/3/14 $ 185.25 $ 249.28 $ 115.58 $ 87.23 $ 65.59 $ 39.77 $ 69.32 $ 79.81 $ 37.56 $ 123.61 $ 39.79
4/1/14 $ 186.54 $ 245.57 $ 111.25 $ 86.95 $ 66.68 $ 40.13 $ 71.60 $ 80.45 $ 38.25 $ 124.22 $ 40.01
5/1/14 $ 190.87 $ 249.59 $ 112.12 $ 90.85 $ 67.75 $ 41.37 $ 73.32 $ 81.30 $ 38.73 $ 120.43 $ 40.38
6/2/14 $ 194.81 $ 260.00 $ 118.03 $ 93.69 $ 68.37 $ 42.68 $ 74.15 $ 81.37 $ 38.97 $ 128.04 $ 40.76
7/1/14 $ 192.19 $ 248.59 $ 110.89 $ 94.79 $ 66.59 $ 43.27 $ 74.21 $ 81.14 $ 38.78 $ 123.39 $ 39.80
8/1/14 $ 199.78 $ 261.18 $ 116.24 $ 99.54 $ 66.71 $ 44.93 $ 76.47 $ 82.07 $ 39.47 $ 123.86 $ 40.79
9/2/14 $ 197.02 $ 249.32 $ 109.35 $ 98.79 $ 64.12 $ 41.71 $ 71.85 $ 81.60 $ 39.14 $ 116.21 $ 39.80
Monthly Returns in %:
Date SPY MDY IWM QQQ EFA VWO VNQ BND PFF GLD JNK
10/1/09 -1.92% -4.51% -6.49% -3.05% -2.52% -2.42% -4.46% 0.27% -3.50% 3.72% -0.27%
11/2/09 6.16% 4.20% 3.12% 6.35% 3.92% 7.20% 6.56% 1.31% 1.51% 12.79% 1.40%
12/1/09 1.91% 6.09% 7.93% 5.19% 0.72% 3.10% 7.39% -1.45% 6.01% -7.20% 3.65%
1/4/10 -3.63% -3.21% -3.73% -6.46% -5.06% -6.73% -5.52% 1.28% 1.00% -1.26% 0.19%
2/1/10 3.13% 5.06% 4.48% 4.59% 0.26% 1.91% 5.59% 0.33% 3.67% 3.27% 0.67%
3/1/10 6.08% 7.17% 8.21% 7.71% 6.37% 8.18% 10.18% -0.23% 1.80% -0.44% 3.46%
4/1/10 1.55% 4.18% 5.68% 2.26% -2.79% -0.21% 7.15% 1.08% 0.03% 5.88% 1.88%
5/3/10 -7.94% -7.06% -7.53% -7.39% -11.19% -9.17% -5.34% 1.12% -4.34% 3.05% -5.23%
6/1/10 -5.17% -6.57% -7.75% -5.99% -2.08% -0.56% -5.21% 1.45% 1.89% 2.36% 0.92%
7/1/10 6.83% 6.81% 6.74% 7.26% 11.63% 10.22% 9.61% 0.87% 6.91% -5.09% 5.07%
8/2/10 -4.50% -4.96% -7.45% -5.11% -3.81% -2.54% -1.29% 1.56% 2.30% 5.71% -0.42%
9/1/10 8.96% 11.27% 12.44% 13.17% 9.99% 11.41% 4.48% -0.01% 0.36% 4.78% 3.56%
10/1/10 3.82% 3.39% 4.14% 6.32% 3.81% 3.11% 4.73% 0.33% 0.16% 3.68% 2.89%
11/1/10 0.00% 2.97% 3.50% -0.16% -4.82% -2.85% -1.85% -0.68% -0.65% 2.11% -1.90%
12/1/10 6.68% 6.55% 8.03% 4.75% 8.31% 7.59% 4.56% -1.02% 0.29% 2.44% 2.73%
1/3/11 2.34% 1.93% -0.37% 2.82% 2.09% -3.46% 3.26% 0.08% 0.72% -6.38% 1.98%
2/1/11 3.47% 4.54% 5.54% 3.18% 3.56% -0.17% 4.71% 0.29% 1.65% 6.00% 1.34%
3/1/11 0.01% 2.59% 2.52% -0.45% -2.39% 5.46% -1.61% -0.15% 0.95% 1.60% -0.03%
4/1/11 2.90% 2.63% 2.64% 2.87% 5.62% 3.38% 5.74% 1.47% 1.61% 8.94% 1.60%
5/2/11 -1.13% -0.92% -1.80% -1.22% -2.20% -2.94% 1.38% 1.19% 0.59% -1.79% 0.56%
6/1/11 -1.68% -2.54% -2.40% -2.02% -1.21% -1.01% -3.31% -0.38% -0.55% -2.43% -0.98%
7/1/11 -2.00% -3.46% -3.41% 1.66% -2.37% -0.61% 1.58% 1.62% -1.89% 8.42% 0.71%
8/1/11 -5.50% -7.16% -8.89% -5.07% -8.76% -9.08% -5.64% 1.65% -1.86% 12.27% -3.05%
9/1/11 -6.94% -10.48% -11.15% -4.49% -10.82% -18.44% -10.83% 0.67% -5.21% -11.06% -6.08%
10/3/11 10.91% 13.56% 15.11% 10.38% 9.63% 15.91% 14.28% 0.12% 5.40% 5.87% 8.40%
11/1/11 -0.41% -0.24% -0.38% -2.69% -2.17% -1.70% -3.80% -0.07% -3.16% 1.67% -2.22%
12/1/11 1.05% -0.60% 0.51% -0.61% -2.18% -4.16% 4.85% 1.18% 0.13% -10.66% 3.45%
1/3/12 4.64% 6.59% 7.15% 8.43% 5.26% 10.76% 6.38% 0.63% 7.07% 11.40% 2.66%
2/1/12 4.34% 4.51% 2.56% 6.40% 4.83% 5.44% -1.15% 0.04% 3.04% -2.96% 2.14%
3/1/12 3.22% 1.93% 2.49% 5.05% 0.42% -2.61% 5.20% -0.50% 0.18% -1.32% -1.21%
4/2/12 -0.67% -0.28% -1.62% -1.16% -2.07% -2.08% 2.85% 1.10% 0.21% -0.15% 1.52%
5/1/12 -6.01% -6.45% -6.58% -7.03% -11.14% -10.68% -4.50% 0.93% -1.17% -6.34% -3.47%
6/1/12 4.06% 1.93% 5.06% 3.62% 7.03% 5.01% 5.52% 0.06% 2.43% 2.35% 4.20%
7/2/12 1.19% -0.02% -1.52% 1.00% 0.09% 0.22% 2.00% 1.23% 1.51% 0.84% 1.66%
8/1/12 2.50% 3.55% 3.53% 5.18% 3.20% 0.24% -0.02% 0.16% 1.49% 4.94% 1.23%
9/4/12 2.54% 1.68% 3.27% 0.89% 2.71% 5.32% -1.86% 0.19% 0.72% 4.67% 0.74%
10/1/12 -1.82% -0.93% -2.18% -5.28% 1.11% -0.56% -0.92% -0.10% 1.03% -2.94% 0.87%
11/1/12 0.57% 2.30% 0.56% 1.32% 2.77% 1.28% -0.25% 0.05% -0.37% -0.47% 0.56%
12/3/12 0.89% 2.29% 3.62% -0.47% 4.39% 7.06% 3.72% -0.87% 0.40% -2.43% 1.44%
1/2/13 5.12% 7.08% 6.24% 2.67% 3.73% 0.07% 3.74% -0.70% 1.36% -0.51% 0.27%
2/1/13 1.28% 0.83% 1.01% 0.35% -1.29% -2.36% 1.21% 0.54% 0.53% -5.09% 0.71%
3/1/13 3.79% 4.84% 4.66% 3.02% 1.30% -1.26% 2.88% 0.08% 1.11% 0.95% 1.06%
4/1/13 1.92% 0.60% -0.36% 2.53% 5.02% 2.01% 6.74% 1.01% 1.07% -7.56% 2.06%
5/1/13 2.36% 2.29% 3.94% 3.58% -3.03% -5.07% -5.98% -1.92% -0.68% -6.20% -2.31%
6/3/13 -1.33% -2.30% -0.81% -2.40% -2.67% -5.36% -1.99% -1.65% -2.18% -11.06% -2.18%
7/1/13 5.17% 6.67% 7.33% 6.31% 5.32% 0.70% 0.90% 0.38% -0.56% 7.43% 2.53%
8/1/13 -3.00% -3.86% -3.17% -0.39% -1.95% -3.43% -6.97% -0.86% -2.19% 5.20% -1.05%
9/3/13 3.16% 5.36% 6.49% 4.83% 7.82% 7.29% 3.47% 1.11% 0.69% -4.78% 0.95%
10/1/13 4.64% 3.62% 2.42% 4.97% 3.26% 4.33% 4.53% 0.85% 0.91% -0.34% 2.52%
11/1/13 2.96% 1.24% 3.95% 3.54% 0.55% -0.93% -5.26% -0.29% 0.34% -5.51% 0.76%
12/2/13 2.59% 3.16% 2.03% 2.94% 2.17% -0.30% 0.10% -0.63% -1.30% -3.79% 0.52%
1/2/14 -3.52% -2.22% -2.77% -1.93% -5.19% -8.43% 4.29% 1.54% 2.97% 3.42% 0.57%
2/3/14 4.55% 4.86% 4.78% 5.16% 6.12% 3.23% 5.06% 0.48% 2.27% 6.27% 2.31%
3/3/14 0.83% 0.35% -0.75% -2.73% -0.46% 4.63% 0.49% -0.18% 1.73% -3.14% -0.03%
4/1/14 0.70% -1.49% -3.75% -0.32% 1.66% 0.91% 3.29% 0.80% 1.84% 0.49% 0.55%
5/1/14 2.32% 1.64% 0.78% 4.49% 1.60% 3.09% 2.40% 1.06% 1.25% -3.05% 0.92%
6/2/14 2.06% 4.17% 5.27% 3.13% 0.92% 3.17% 1.13% 0.09% 0.62% 6.32% 0.94%
7/1/14 -1.34% -4.39% -6.05% 1.17% -2.60% 1.38% 0.08% -0.28% -0.49% -3.63% -2.36%
8/1/14 3.95% 5.06% 4.82% 5.01% 0.18% 3.84% 3.05% 1.15% 1.78% 0.38% 2.49%
9/2/14 -1.38% -4.54% -5.93% -0.75% -3.88% -7.17% -6.04% -0.57% -0.84% -6.18% -2.43%

Answer Report 1

Microsoft Excel 12.0 Answer Report
Worksheet: [8639484_Q2.xlsx]Questions
Report Created: 11/14/2014 4:38:29 PM
Target Cell (Max)
Cell Name Original Value Final Value
$C$97 Portfolio Return = MDY 0.0036083337 0.0151607558
Adjustable Cells
Cell Name Original Value Final Value
$B$74 Weights SPY 17% 98%
$C$74 Weights MDY -9% -100%
$D$74 Weights IWM 15% -100%
$E$74 Weights QQQ -5% 100%
$F$74 Weights EFA -1% -100%
$G$74 Weights VWO -2% -100%
$H$74 Weights VNQ -10% 100%
$I$74 Weights BND 94% 100%
$J$74 Weights JNK 0% 100%
Constraints
Cell Name Cell Value Formula Status Slack
$C$93 Portfolio Std. Dev. = MDY 0.0674999962 $C$93=0.0675 Not Binding 0
$B$74 Weights SPY 98% $B$74<=1 Not Binding 0.0243909416
$C$74 Weights MDY -100% $C$74<=1 Not Binding 2
$D$74 Weights IWM -100% $D$74<=1 Not Binding 2
$E$74 Weights QQQ 100% $E$74<=1 Binding 0
$F$74 Weights EFA -100% $F$74<=1 Not Binding 2
$G$74 Weights VWO -100% $G$74<=1 Not Binding 2
$H$74 Weights VNQ 100% $H$74<=1 Binding 0
$I$74 Weights BND 100% $I$74<=1 Binding 0
$J$74 Weights JNK 100% $J$74<=1 Binding 0
$B$74 Weights SPY 98% $B$74>=-1 Not Binding 198%
$C$74 Weights MDY -100% $C$74>=-1 Binding 0%
$D$74 Weights IWM -100% $D$74>=-1 Binding 0%
$E$74 Weights QQQ 100% $E$74>=-1 Not Binding 200%
$F$74 Weights EFA -100% $F$74>=-1 Binding 0%
$G$74 Weights VWO -100% $G$74=-1 Not Binding 0
$H$74 Weights VNQ 100% $H$74>=-1 Not Binding 200%
$I$74 Weights BND 100% $I$74>=-1 Not Binding 200%
$J$74 Weights JNK 100% $J$74>=-1 Not Binding 200%

Q 1-10

1.      What is the average return for each of the nine indexes?
Index SPY MDY IWM QQQ EFA VWO VNQ BND JNK
Avg. Return 1.29% 1.35% 1.26% 1.61% 0.65% 0.52% 1.35% 0.31% 0.76%
2.      Show the covariance matrix of returns. Briefly describe how you constructed the covariance matrix.
SPY MDY IWM QQQ EFA VWO VNQ BND JNK
SPY 0.001431129 0.0016455315 0.0018268206 0.0015300285 0.0016544361 0.0017931899 0.0013563694 -0.0000773593 0.0006984718
MDY 0.0016455315 0.0021342647 0.002379859 0.0017744279 0.0018766614 0.0021672887 0.0016709454 -0.0001021474 0.0008387692
IWM 0.0018268206 0.002379859 0.0027881709 0.0019844306 0.0020567532 0.0023765615 0.0018159983 -0.0001443889 0.0009274554
QQQ 0.0015300285 0.0017744279 0.0019844306 0.0019232893 0.0017514627 0.0019001392 0.0014671156 -0.0000738479 0.0007242209
EFA 0.0016544361 0.0018766614 0.0020567532 0.0017514627 0.0024242987 0.0024962674 0.0016937591 -0.0000645799 0.0009492393
VWO 0.0017931899 0.0021672887 0.0023765615 0.0019001392 0.0024962674 0.0034079481 0.0019970427 -0.0000514165 0.0010916407
VNQ 0.0013563694 0.0016709454 0.0018159983 0.0014671156 0.0016937591 0.0019970427 0.0023187665 0.0000421698 0.0009278379
BND -0.0000773593 -0.0001021474 -0.0001443889 -0.0000738479 -0.0000645799 -0.0000514165 0.0000421698 0.0000715527 0.0000153919
JNK 0.0006984718 0.0008387692 0.0009274554 0.0007242209 0.0009492393 0.0010916407 0.0009278379 0.0000153919 0.0005612642
This covariance matrix is constructed using the Data Analysis Tool in the Excel.
Consider the simple case where short sales are allowed. Use Excel Solver to find the Minimum Variance Portfolio (MVP).
Correlation Matrix
SPY MDY IWM QQQ EFA VWO VNQ BND JNK
SPY 1 0.9415484405 0.9145275959 0.922226977 0.8882138602 0.8119707986 0.7445778071 -0.2417463751 0.7793379433
MDY 0.9415484405 1 0.9755901297 0.8758140451 0.8250280366 0.8036114858 0.751120485 -0.2613906574 0.7663632874
IWM 0.9145275959 0.9755901297 1 0.8569468896 0.7910964242 0.7709795964 0.7142121314 -0.323266745 0.7413950672
QQQ 0.922226977 0.8758140451 0.8569468896 1 0.8111207718 0.7421926066 0.6947259495 -0.1990686976 0.6970518882
EFA 0.8882138602 0.8250280366 0.7910964242 0.8111207718 1 0.868463448 0.7143812734 -0.1550569827 0.8137649353
VWO 0.8119707986 0.8036114858 0.7709795964 0.7421926066 0.868463448 1 0.7104153696 -0.1041221869 0.7893135535
VNQ 0.7445778071 0.751120485 0.7142121314 0.6947259495 0.7143812734 0.7104153696 1 0.1035285642 0.8133171972
BND -0.2417463751 -0.2613906574 -0.323266745 -0.1990686976 -0.1550569827 -0.1041221869 0.1035285642 1 0.0768062148
JNK 0.7793379433 0.7663632874 0.7413950672 0.6970518882 0.8137649353 0.7893135535 0.8133171972 0.0768062148 1
Taking the Initial Weights of the different indexes as follow and then calculating the MVP using the Solver to minimize the variance.
(As short selling is allowed, weights of the indexes can be negative.)
SPY MDY IWM QQQ EFA VWO VNQ BND JNK Total
Standard Dev. 0.0381495138 0.0465879667 0.0532487371 0.0442254162 0.0496526789 0.0588702805 0.048559939 0.0085302686 0.023890942
Weights 17% -9% 15% -5% -1% -2% -10% 94% 0% 100%
w*σ 0.0065376057 -0.0040360279 0.0077702171 -0.0020453148 -0.0003295517 -0.0013557484 -0.0047688039 0.008018522 0.0000824661
Annual volatility
Portfolio Variance = 0.0000434468
Using the Solver function to minimize the Variance by changing the Weights.
3.      What is the expected portfolio return for the MVP portfolio?
Portfolio Return = 0.36%
4.      What is the portfolio standard deviation for the MVP portfolio?
Portfolio Std. Dev. = 0.66%
5.      What is the portfolio composition (i.e., what are the weights for the nine ETFs)?
SPY MDY IWM QQQ EFA VWO VNQ BND JNK Total
Weights 17% -9% 15% -5% -1% -2% -10% 94% 0% 100%
(Negative weights show the short selling.)
Consider the simple case where short sales are allowed, but short positions must be greater than or equal to –100% and long positions must be less than or equal to 100%. Use Excel Solver to find the Maximum return portfolio with a standard deviation of exactly 6.75%.
SPY MDY IWM QQQ EFA VWO VNQ BND JNK Total
Weights 100% -100% -100% 100% -100% -100% 100% 100% 100% 100%
Avg. Return 0.0128705467 0.0135422113 0.0126205435 0.0161493861 0.0064509139 0.0051893062 0.0135457508 0.0031357104 0.0075762612
Standard Dev. 0.0249196793 0.0346147884 0.0393162509 0.0265640539 0.0342800188 0.0421189833 0.0382472404 0.009140048 0.0157106397
w*σ 0.0249197042 -0.0346147884 -0.0393162509 0.0265640273 -0.0342800188 -0.0421189833 0.0382472404 0.009140048 0.0157106397
Correlation Matrix
SPY MDY IWM QQQ EFA VWO VNQ BND JNK
SPY 1 0.9415484405 0.9145275959 0.922226977 0.8882138602 0.8119707986 0.7445778071 -0.2417463751 0.7793379433
MDY 0.9415484405 1 0.9755901297 0.8758140451 0.8250280366 0.8036114858 0.751120485 -0.2613906574 0.7663632874
IWM 0.9145275959 0.9755901297 1 0.8569468896 0.7910964242 0.7709795964 0.7142121314 -0.323266745 0.7413950672
QQQ 0.922226977 0.8758140451 0.8569468896 1 0.8111207718 0.7421926066 0.6947259495 -0.1990686976 0.6970518882
EFA 0.8882138602 0.8250280366 0.7910964242 0.8111207718 1 0.868463448 0.7143812734 -0.1550569827 0.8137649353
VWO 0.8119707986 0.8036114858 0.7709795964 0.7421926066 0.868463448 1 0.7104153696 -0.1041221869 0.7893135535
VNQ 0.7445778071 0.751120485 0.7142121314 0.6947259495 0.7143812734 0.7104153696 1 0.1035285642 0.8133171972
BND -0.2417463751 -0.2613906574 -0.323266745 -0.1990686976 -0.1550569827 -0.1041221869 0.1035285642 1 0.0768062148
JNK 0.7793379433 0.7663632874 0.7413950672 0.6970518882 0.8137649353 0.7893135535 0.8133171972 0.0768062148 1
Portfolio Variance = 0.0045008549
Portfolio Std. Dev. = 0.0670884113
Using the solver for Std. Dev. To be = 6.75% and maximizing the Return.
6.      What is the expected portfolio return for this portfolio?
Portfolio Return = 1.55%
7.      What is the portfolio composition (i.e., what are the weights for the nine ETFs)?
SPY MDY IWM QQQ EFA VWO VNQ BND JNK Total
Weights 100% -100% -100% 100% -100% -100% 100% 100% 100% 100%
Consider the more realistic case where short sales are NOT allowed and no more than 40% of the portfolio and no less than 4% is invested in any ETF. Use Excel Solver to find the Minimum Variance Portfolio (MVP).
SPY MDY IWM QQQ EFA VWO VNQ BND JNK Total
Weights 20% 4% 4% 20% 4% 4% 4% 20% 20% 100%
Avg. Return 0.0128705467 0.0135422113 0.0126205435 0.0161493861 0.0064509139 0.0051893062 0.0135457508 0.0031357104 0.0075762612
Standard Dev. 0.0249196793 0.0346147884 0.0393162509 0.0265640539 0.0342800188 0.0421189833 0.0382472404 0.009140048 0.0157106397
w*σ 0.0249197042 -0.0346147884 -0.0393162509 0.0265640273 -0.0342800188 -0.0421189833 0.0382472404 0.009140048 0.0157106397
Correlation Matrix
SPY MDY IWM QQQ EFA VWO VNQ BND JNK
SPY 1 0.9415484405 0.9145275959 0.922226977 0.8882138602 0.8119707986 0.7445778071 -0.2417463751 0.7793379433
MDY 0.9415484405 1 0.9755901297 0.8758140451 0.8250280366 0.8036114858 0.751120485 -0.2613906574 0.7663632874
IWM 0.9145275959 0.9755901297 1 0.8569468896 0.7910964242 0.7709795964 0.7142121314 -0.323266745 0.7413950672
QQQ 0.922226977 0.8758140451 0.8569468896 1 0.8111207718 0.7421926066 0.6947259495 -0.1990686976 0.6970518882
EFA 0.8882138602 0.8250280366 0.7910964242 0.8111207718 1 0.868463448 0.7143812734 -0.1550569827 0.8137649353
VWO 0.8119707986 0.8036114858 0.7709795964 0.7421926066 0.868463448 1 0.7104153696 -0.1041221869 0.7893135535
VNQ 0.7445778071 0.751120485 0.7142121314 0.6947259495 0.7143812734 0.7104153696 1 0.1035285642 0.8133171972
BND -0.2417463751 -0.2613906574 -0.323266745 -0.1990686976 -0.1550569827 -0.1041221869 0.1035285642 1 0.0768062148
JNK 0.7793379433 0.7663632874 0.7413950672 0.6970518882 0.8137649353 0.7893135535 0.8133171972 0.0768062148 1
Portfolio Variance = 0.0045008549
Portfolio Std. Dev. = 0.0670884113
Using the solver for ETF between 4% and 40%
Minimizing the variance.
8.      What is the expected portfolio return for the MVP portfolio?
Portfolio Return = 1.00%
9.      What is the portfolio standard deviation for the MVP portfolio?
Portfolio Std. Dev. = 0.0670884113
10.  What is the portfolio composition (i.e., what are the weights for the nine ETFs)?
SPY MDY IWM QQQ EFA VWO VNQ BND JNK Total
Weights 20% 4% 4% 20% 4% 4% 4% 20% 20% 100%

Q 11-14

Consider the simple case where short sales are NOT allowed and no more than 50% and no less than 5% of the portfolio is invested in any ETF. Use Excel Solver to find the Market Portfolio if the risk-free rate is 0.1250%/month (1.5%/year).
Risk Free Rate = 1.50%
SPY MDY IWM QQQ EFA VWO VNQ BND JNK Total
Weights 5% 5% 5% 50% 5% 5% 15% 5% 5% 100%
Return 0.0128705467 0.0135422113 0.0126205435 0.0161493861 0.0064509139 0.0051893062 0.0135457508 0.0031357104 0.0075762612
Std. Dev. 0.0249196793 0.0346147884 0.0393162509 0.0265640539 0.0342800188 0.0421189833 0.0382472404 0.009140048 0.0157106397
w*σ 0.0249197042 -0.0346147884 -0.0393162509 0.0265640273 -0.0342800188 -0.0421189833 0.0382472404 0.009140048 0.0157106397
Correlation Matrix
SPY MDY IWM QQQ EFA VWO VNQ BND JNK
SPY 1 0.9415484405 0.9145275959 0.922226977 0.8882138602 0.8119707986 0.7445778071 -0.2417463751 0.7793379433
MDY 0.9415484405 1 0.9755901297 0.8758140451 0.8250280366 0.8036114858 0.751120485 -0.2613906574 0.7663632874
IWM 0.9145275959 0.9755901297 1 0.8569468896 0.7910964242 0.7709795964 0.7142121314 -0.323266745 0.7413950672
QQQ 0.922226977 0.8758140451 0.8569468896 1 0.8111207718 0.7421926066 0.6947259495 -0.1990686976 0.6970518882
EFA 0.8882138602 0.8250280366 0.7910964242 0.8111207718 1 0.868463448 0.7143812734 -0.1550569827 0.8137649353
VWO 0.8119707986 0.8036114858 0.7709795964 0.7421926066 0.868463448 1 0.7104153696 -0.1041221869 0.7893135535
VNQ 0.7445778071 0.751120485 0.7142121314 0.6947259495 0.7143812734 0.7104153696 1 0.1035285642 0.8133171972
BND -0.2417463751 -0.2613906574 -0.323266745 -0.1990686976 -0.1550569827 -0.1041221869 0.1035285642 1 0.0768062148
JNK 0.7793379433 0.7663632874 0.7413950672 0.6970518882 0.8137649353 0.7893135535 0.8133171972 0.0768062148 1
Portfolio Variance = 0.0045008549
Portfolio Std. Dev. = 0.0670884113
Using the solver for ETF between 5% and 50%
Portfolio Return = 1.32%
Maximizing the Return for Market Portfolio.
       11.  What is the expected portfolio return for this portfolio?
Portfolio Return = 0.0131758168
12.  What is the portfolio standard deviation for this portfolio?
Portfolio Std. Dev. = 0.0670884113
13.  What is the portfolio composition (i.e., what are the weights for the nine ETFs)?
SPY MDY IWM QQQ EFA VWO VNQ BND JNK Total
Weights 5% 5% 5% 50% 5% 5% 15% 5% 5% 100%
       14.  What is the maximum Sharpe ratio?
Sharp Ratio = (Portfolio return - Risk free Rate) / Portfolio Std. Dev.
-0.0271907349