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Data

Asset Classes
Date Australian Equity Aus Real Estate European Equity US Equity Emerging Market Equity Gold
3/11/11 100.00 100.00 100.00 100.00 100.00 100.00 Index Scaled to 100 as of 11/03/2011
3/18/11 99.62 98.79 97.10 99.46 99.11 100.43
3/25/11 102.21 101.48 100.20 103.72 103.20 101.73
4/1/11 104.79 102.17 101.69 108.31 106.91 101.73
4/8/11 106.50 102.32 102.21 103.94 108.80 104.41
4/15/11 104.60 99.25 100.77 98.81 106.59 104.82
4/22/11 105.93 100.02 101.68 96.62 108.79 106.93
4/29/11 103.97 100.38 102.98 100.62 108.62 109.03
5/6/11 102.26 100.34 101.96 106.16 104.95 105.37
5/13/11 101.76 100.65 101.68 104.96 103.26 107.33
5/20/11 102.43 101.59 101.28 103.72 102.89 106.33
5/27/11 101.40 101.41 101.07 105.08 103.55 108.21
6/3/11 99.38 99.97 99.06 103.63 104.24 108.20
6/10/11 98.93 100.48 97.18 105.05 101.83 109.34
6/17/11 97.26 100.42 96.86 105.82 99.57 108.40
6/24/11 97.92 101.61 95.27 104.62 100.65 107.62
7/1/11 99.73 100.94 99.33 107.55 104.35 105.63
7/8/11 101.11 102.61 98.58 110.33 105.00 108.48
7/15/11 97.17 98.56 96.24 105.45 102.44 112.28
7/22/11 99.98 99.11 98.14 107.60 104.03 113.13
7/29/11 96.11 94.99 95.74 100.68 102.64 114.54
8/5/11 89.18 89.85 86.26 93.53 93.92 118.20
8/12/11 90.74 88.56 85.41 95.40 89.28 124.32
8/19/11 89.49 88.71 80.19 88.88 87.52 132.78
8/26/11 92.03 91.72 81.04 95.26 88.04 126.74
9/2/11 93.20 94.30 83.66 92.17 92.18 131.38
9/9/11 92.38 91.71 80.73 89.90 89.52 129.92
9/16/11 91.52 93.23 82.68 92.51 88.12 126.81
9/23/11 86.12 87.61 77.63 84.17 77.72 121.02
9/30/11 88.50 90.06 81.38 86.04 79.42 115.08
10/7/11 91.91 91.13 83.49 85.11 79.74 117.38
10/14/11 92.86 93.12 85.74 93.16 84.39 118.83
10/21/11 91.45 93.16 85.80 92.45 83.00 115.24
10/28/11 96.13 95.63 89.49 96.62 91.12 123.38
11/4/11 94.53 95.42 86.13 96.60 89.27 124.75
11/11/11 95.50 97.00 86.42 97.65 87.61 125.10
11/18/11 92.87 93.57 83.34 92.48 84.26 122.79
11/25/11 88.60 92.61 79.50 88.57 79.15 118.90
12/2/11 95.35 98.12 86.40 96.17 86.68 124.19
12/9/11 93.47 96.18 86.28 94.38 84.27 121.73
12/16/11 92.50 95.94 83.83 92.23 81.56 112.81
12/23/11 92.24 97.31 86.68 94.78 83.69 114.16
12/30/11 90.37 94.52 87.62 93.42 82.67 111.55
1/6/12 91.53 97.44 88.70 93.90 83.63 115.03
1/13/12 93.47 99.19 89.23 92.74 85.96 116.48
1/20/12 94.45 97.74 91.89 92.14 89.77 116.82
1/27/12 95.53 98.65 91.61 93.22 91.71 122.36
2/3/12 94.71 99.26 94.98 96.99 94.57 124.87
2/10/12 94.65 99.43 93.78 98.84 94.01 122.04
2/17/12 93.56 100.04 95.41 96.74 95.84 122.88
2/24/12 96.56 100.52 95.07 97.67 96.30 126.19
3/2/12 96.25 101.98 95.99 99.52 97.42 121.68
3/9/12 95.03 101.47 95.26 103.83 95.62 120.57
3/16/12 96.50 102.61 97.75 107.15 95.92 116.93
3/23/12 96.46 103.08 95.38 105.53 94.00 117.15
3/30/12 97.96 102.35 94.48 104.43 93.95 118.03
4/6/12 97.62 103.23 92.83 105.30 93.52 115.69
4/13/12 97.70 103.17 90.74 101.30 92.67 118.77
4/20/12 98.67 103.88 92.10 100.48 92.15 116.65
4/27/12 98.57 105.74 92.67 104.48 91.97 117.40
5/4/12 99.35 106.29 90.49 99.35 91.38 115.81
5/11/12 97.04 104.60 90.06 96.11 87.60 112.14
5/18/12 91.87 101.88 85.22 93.05 81.79 112.83
5/25/12 91.49 103.22 86.45 96.74 81.38 110.89
6/1/12 92.48 103.76 83.59 94.70 80.64 110.29
6/8/12 92.48 104.41 86.18 94.27 81.66 112.00
6/15/12 92.34 103.08 87.03 91.21 83.46 115.30
6/22/12 92.13 103.85 87.90 92.62 82.74 111.27
6/29/12 93.37 106.95 89.65 96.51 84.56 111.91
7/6/12 94.83 107.22 90.51 97.22 85.34 112.97
7/13/12 93.10 107.86 91.12 96.43 83.55 112.42
7/20/12 95.77 109.66 91.69 95.86 84.52 112.32
7/27/12 96.01 109.47 92.38 94.95 84.96 115.44
8/3/12 96.28 110.46 94.43 94.44 85.95 113.27
8/10/12 97.55 111.23 95.99 100.14 88.34 114.19
8/17/12 99.80 113.39 97.08 101.73 87.60 114.74
8/24/12 99.98 112.45 95.26 100.51 87.10 118.25
8/31/12 99.45 112.19 94.64 99.52 85.46 117.72
9/7/12 99.98 116.18 96.78 104.09 87.40 120.27
9/14/12 101.57 115.31 98.15 104.20 91.48 125.88
9/21/12 102.07 114.20 98.04 102.24 90.81 125.82
9/28/12 101.62 113.74 95.42 101.53 90.45 126.13
10/5/12 104.11 110.53 97.43 76.20 91.04 126.97
10/12/12 103.94 109.88 95.68 73.56 89.91 125.43
10/19/12 105.89 111.16 97.30 76.65 90.76 123.06
10/26/12 103.62 112.03 95.99 78.13 89.37 120.87
11/2/12 103.36 111.26 97.49 76.26 90.63 121.32
11/9/12 104.05 110.36 95.91 74.35 89.40 122.75
11/16/12 101.17 109.07 93.36 73.25 87.49 121.30
11/23/12 102.96 111.03 97.03 75.89 89.84 122.98
11/30/12 105.15 112.44 97.76 82.27 90.84 122.67
12/7/12 106.22 114.25 98.99 84.48 92.38 120.34
12/14/12 106.96 114.57 99.03 85.56 94.07 120.37
12/21/12 108.08 116.33 99.63 88.17 94.09 116.76
12/28/12 109.20 116.59 98.91 87.43 95.19 117.73
1/4/13 110.42 116.85 102.11 90.35 97.24 115.58
1/11/13 110.10 118.52 101.86 90.70 96.80 118.44
1/18/13 111.54 119.82 101.89 91.04 97.49 119.91
1/25/13 113.04 121.79 102.80 95.49 96.45 118.45
2/1/13 115.05 123.56 102.17 95.89 96.78 118.16
2/8/13 116.30 124.38 101.83 96.43 95.70 118.52
2/15/13 117.78 122.65 101.99 94.78 96.21 115.43
2/22/13 117.97 123.86 102.50 94.04 95.03 112.29
3/1/13 119.79 123.93 102.72 93.65 95.00 111.36
3/8/13 121.11 125.37 104.90 95.15 96.16 111.96
3/15/13 121.04 125.86 105.54 95.63 94.02 112.98
3/22/13 117.55 123.93 104.33 95.80 91.61 114.35
3/29/13 117.53 123.58 104.23 96.26 93.36 113.44
4/5/13 115.76 124.26 101.89 91.74 90.94 110.30
4/12/13 118.66 128.28 103.82 95.09 91.98 109.94
4/19/13 116.73 130.07 101.25 93.11 91.22 100.27
4/26/13 120.65 130.09 105.06 94.24 92.23 104.08
5/3/13 121.42 131.65 106.92 94.52 94.02 105.15
5/10/13 123.44 134.11 108.36 96.31 94.79 101.92
5/17/13 123.14 135.15 109.63 98.33 94.34 97.86
5/24/13 118.46 130.06 107.78 97.79 92.62 98.45
5/31/13 117.34 128.68 106.95 99.97 91.01 100.18
6/7/13 112.85 125.28 105.02 98.44 88.46 100.10
6/14/13 114.14 123.50 103.54 96.91 86.03 97.91
6/21/13 112.88 122.52 99.66 93.82 81.24 91.86
6/28/13 114.61 126.28 101.35 94.38 84.83 85.40
7/5/13 115.55 128.67 102.48 97.73 82.78 87.99
7/12/13 118.71 126.90 105.19 98.04 85.28 90.36
7/19/13 118.66 127.37 106.49 99.09 85.74 91.51
7/26/13 120.33 129.17 106.24 99.66 86.74 94.26
8/2/13 122.12 127.96 108.08 106.24 86.18 91.45
8/9/13 120.73 130.36 108.58 107.77 85.82 93.08
8/16/13 122.19 128.36 108.82 106.21 86.43 96.73
8/23/13 123.09 128.88 108.13 109.13 84.14 97.57
8/30/13 123.59 128.49 105.45 106.41 83.85 99.05
9/6/13 124.28 128.27 108.64 109.96 86.22 96.98
9/13/13 126.26 130.17 110.54 112.51 89.02 93.24
9/20/13 127.67 132.06 111.65 114.38 91.40 96.38
9/27/13 128.43 131.92 110.95 114.13 90.20 93.96
10/4/13 126.05 132.48 109.95 114.21 90.92 93.38
10/11/13 126.61 132.47 110.62 112.60 92.30 91.26
10/18/13 128.80 134.30 113.05 114.47 94.00 93.59
10/25/13 130.37 134.47 113.59 117.36 92.67 95.08
11/1/13 130.98 134.46 113.87 116.23 92.72 93.31
11/8/13 131.47 135.02 114.29 118.07 89.79 92.89
11/15/13 131.53 136.76 114.43 123.35 90.68 91.02
11/22/13 129.97 134.47 114.36 125.05 91.04 88.19
11/29/13 129.60 134.16 115.20 125.93 91.86 88.35
12/6/13 126.34 130.73 112.04 125.42 90.41 87.27
12/13/13 124.21 129.00 109.72 123.29 89.35 86.83
12/20/13 128.27 131.09 113.57 120.85 89.15 84.81
12/27/13 129.94 132.24 115.93 123.32 89.99 85.98
1/3/14 130.57 132.86 115.82 122.47 88.36 87.45
1/10/14 129.65 134.53 116.81 124.20 87.52 87.51
1/17/14 129.50 135.13 118.84 125.45 87.71 88.17
1/24/14 127.91 132.66 114.94 121.90 85.69 89.39
1/31/14 126.67 132.09 114.19 121.19 84.48 88.36
2/7/14 126.18 131.04 115.13 114.27 84.55 89.40
2/14/14 130.83 135.82 117.93 121.25 86.36 93.01
2/21/14 133.19 138.95 118.91 126.33 86.54 93.68
2/28/14 132.97 137.13 119.38 124.00 87.18 94.38
3/7/14 134.87 139.11 117.67 129.79 87.21 95.66
3/14/14 131.60 136.73 113.82 128.26 84.59 97.24
3/21/14 131.92 136.83 115.84 128.57 85.25 95.15
3/28/14 132.67 133.81 117.87 119.46 88.85 91.96
4/4/14 134.06 135.47 119.74 122.18 90.39 91.57
4/11/14 134.21 136.77 116.00 118.35 91.60 93.85
4/18/14 134.85 137.97 117.32 119.63 91.28 92.00
4/25/14 136.76 139.23 117.76 118.27 89.61 92.03
5/2/14 134.95 138.45 119.22 116.99 90.52 91.25
5/9/14 135.26 139.63 119.45 117.84 90.84 91.57
5/16/14 136.28 140.41 119.74 119.94 93.09 91.83
5/23/14 136.62 141.29 120.64 121.84 94.08 91.67
5/30/14 136.64 141.00 121.49 122.44 92.71 88.92
6/6/14 135.94 143.22 122.56 125.99 94.26 88.85
6/13/14 134.50 142.78 122.48 127.21 94.64 90.33
6/20/14 134.85 143.83 122.81 126.47 94.17 92.92
6/27/14 135.83 147.66 120.78 128.23 94.38 93.42
7/4/14 137.82 147.95 122.78 134.30 95.84 93.72
7/11/14 136.87 149.17 118.91 130.75 95.50 94.84
7/18/14 137.99 151.05 119.95 133.13 95.92 92.97
7/25/14 139.29 152.04 120.83 132.77 97.31 91.93
8/1/14 138.61 149.11 117.28 125.84 95.63 91.16
8/8/14 135.59 146.86 114.89 124.82 94.32 93.55
8/15/14 138.92 152.57 116.63 128.14 96.93 93.19
8/22/14 141.35 155.96 119.07 131.09 97.70 90.88
8/29/14 141.40 154.45 121.03 130.89 98.14 91.17
9/5/14 141.18 154.77 123.01 131.49 98.95 89.81
9/12/14 139.74 152.56 121.74 132.48 95.76 87.77
9/19/14 137.29 150.58 123.27 137.28 95.07 86.70
9/26/14 134.30 148.65 121.20 133.25 92.37 86.68
10/3/14 134.44 149.81 118.75 134.81 89.96 85.61
10/10/14 131.16 146.91 113.77 123.49 89.30 86.72
10/17/14 133.27 146.96 112.64 123.15 88.11 87.77
10/24/14 136.82 151.59 115.66 130.50 88.80 87.33
10/31/14 139.72 156.10 118.97 132.37 91.66 83.32
11/7/14 140.80 157.42 118.37 134.64 89.10 81.27
11/14/14 138.73 157.65 118.55 135.89 89.38 81.90
11/21/14 134.94 155.15 121.95 137.59 90.60 84.74
11/28/14 135.17 157.30 122.72 137.19 90.64 83.90
12/5/14 135.77 159.62 124.00 135.32 88.92 85.41
12/12/14 132.83 159.74 116.77 130.92 84.65 86.93
12/19/14 135.86 162.24 120.41 135.86 85.21 84.96
12/26/14 137.31 164.90 121.55 137.16 85.93 84.96
1/2/15 138.59 163.86 120.65 135.29 86.04 83.91
1/9/15 139.35 170.71 119.39 147.43 86.73 86.00
1/16/15 135.11 169.72 124.35 153.36 86.37 89.26
1/23/15 140.27 175.83 130.70 153.82 89.39 91.86
1/30/15 142.48 176.27 129.46 152.68 86.75 89.77
2/6/15 148.39 183.88 131.55 158.95 88.28 89.74
2/13/15 149.95 186.03 132.70 162.27 89.01 86.91
2/20/15 150.48 182.83 134.63 164.62 88.80 85.42
2/27/15 152.29 182.98 138.01 159.18 89.33 85.58
3/6/15 151.85 184.38 138.73 157.30 87.62 84.89
3/13/15 150.01 182.84 139.59 160.96 84.76 82.11
3/20/15 154.32 187.80 142.10 169.33 87.46 83.26
3/27/15 152.93 185.04 139.16 169.02 86.43 85.10
4/3/15 152.39 185.56 140.21 174.50 89.70 85.24
4/10/15 154.20 187.03 145.33 171.91 93.33 85.40
4/17/15 151.88 183.87 141.98 172.74 94.06 85.48
4/24/15 153.31 186.67 143.70 177.99 95.67 84.52
5/1/15 150.24 183.65 138.68 176.88 94.36 83.85
5/8/15 145.84 182.41 140.10 176.17 93.36 84.14
5/15/15 149.02 184.86 138.72 177.25 94.13 86.18
5/22/15 147.26 185.96 142.71 179.91 93.60 86.03
5/29/15 150.20 186.78 139.95 176.03 90.59 84.32
6/5/15 142.97 180.50 136.17 175.32 88.60 83.31
6/12/15 144.21 181.41 136.22 175.57 88.36 83.70
6/19/15 145.56 182.21 134.78 175.52 87.92 85.14
6/26/15 144.50 184.26 138.76 180.85 88.46 83.28
7/3/15 144.30 182.70 133.98 175.94 86.99 82.88
7/10/15 143.10 183.75 136.04 180.96 84.15 82.49
7/17/15 147.74 189.32 141.90 187.29 84.95 81.15
7/24/15 145.03 187.09 138.07 189.76 82.13 76.64
7/31/15 148.50 193.22 138.56 193.36 81.34 76.71
8/7/15 142.65 189.00 138.72 187.86 79.84 77.34
8/14/15 139.78 187.49 135.08 181.79 77.93 79.39
8/21/15 136.51 182.02 126.34 174.04 73.29 81.96
8/28/15 138.38 183.65 127.25 176.34 74.00 80.03
9/4/15 132.73 177.25 123.57 166.41 71.14 79.70
9/11/15 134.11 179.51 124.29 173.11 72.39 78.53
9/18/15 136.78 179.81 124.02 170.55 74.86 80.68
9/25/15 133.41 181.44 122.18 173.96 71.19 81.22
10/2/15 133.69 180.73 121.99 166.16 72.54 78.54
10/9/15 139.72 182.68 126.98 170.21 77.52 81.90
10/16/15 139.42 184.17 127.20 170.72 78.06 83.67
10/23/15 141.63 187.99 131.82 175.32 78.35 83.08
10/30/15 138.68 192.93 131.40 190.07 76.48 81.47
11/6/15 138.58 193.08 132.91 192.31 76.90 78.60
11/13/15 134.61 185.68 129.43 187.83 74.07 76.91
11/20/15 140.09 192.84 133.63 196.71 76.09 77.05
11/27/15 138.69 192.34 134.28 200.31 74.55 75.58
12/4/15 137.34 192.39 129.82 203.89 73.28 75.36
12/11/15 134.09 190.81 124.68 195.18 69.78 75.53
12/18/15 136.15 196.27 126.55 202.89 71.24 74.96
12/25/15 138.85 197.50 128.23 205.25 72.56 76.33
1/1/16 141.49 198.17 128.07 204.62 71.65 75.30
1/8/16 133.34 192.05 119.57 194.33 66.76 77.89
1/15/16 130.72 190.36 115.63 191.35 63.98 76.69
1/22/16 131.34 193.19 118.61 190.04 64.11 77.88
1/29/16 133.74 197.23 119.85 195.29 66.97 78.95
2/5/16 132.95 196.38 114.00 185.22 66.72 82.23
2/12/16 127.43 195.92 109.19 190.81 64.16 88.12
2/19/16 132.87 203.04 114.14 202.98 66.84 86.72
2/26/16 131.19 204.66 115.68 205.56 66.76 87.46
3/2/16 135.55 205.05 118.87 200.99 69.38 87.92
Australian Equity 40613 40620 40627 40634 40641 40648 40655 40662 40669 40676 40683 40690 40697 40704 40711 40718 40725 40732 40739 40746 40753 40760 40767 40774 40781 40788 40795 40802 40809 40816 40823 40830 40837 40844 40851 40858 40865 40872 40879 40886 40893 40900 40907 40914 40921 40928 40935 40942 40949 40956 40963 40970 40977 40984 40991 40998 41005 41012 41019 41026 41033 41040 41047 41054 41061 41068 41075 41082 41089 41096 41103 41110 41117 41124 41131 41138 41145 41152 41159 41166 41173 41180 41187 41194 41201 41208 41215 41222 41229 41236 41243 41250 41257 41264 41271 41278 41285 41292 41299 41306 41313 41320 41327 41334 41341 41348 41355 41362 41369 41376 41383 41390 41397 41404 41411 41418 41425 41432 41439 41446 41453 41460 41467 41474 41481 41488 41495 41502 41509 41516 41523 41530 41537 41544 41551 41558 41565 41572 41579 41586 41593 41600 41607 41614 41621 41628 41635 41642 41649 41656 41663 41670 41677 41684 41691 41698 41705 41712 41719 41726 41733 41740 41747 41754 41761 41768 41775 41782 41789 41796 41803 41810 41817 41824 41831 41838 41845 41852 41859 41866 41873 41880 41887 41894 41901 41908 41915 41922 41929 41936 41943 41950 41957 41964 41971 41978 41985 41992 41999 42006 42013 42020 42027 42034 42041 42048 42055 42062 42069 42076 42083 42090 42097 42104 42111 42118 42125 42132 42139 42146 42153 42160 42167 42174 42181 42188 42195 42202 42209 42216 42223 42230 42237 42244 42251 42258 42265 42272 42279 42286 42293 42300 42307 42314 42321 42328 42335 42342 42349 42356 42363 42370 42377 42384 42391 42398 42405 42412 42419 42426 42431 100 99.621048223902065 102.21449797830246 104.79482512856949 106.49879410467302 104.59683886299599 105.92605857404878 103.97384001257008 102.25991787485691 101.76375525617509 102.4265345611026 101.40226906916459 99.382901053662593 98.93104624643918 97.257282086852257 97.92065840588397 99.727981058966648 101.11020918408454 97.173820100393769 99.983195808890756 96.1122 17814625765 89.179274468074325 90.740238080445138 89.488410712458204 92.025744067604009 93.199356734861965 92.383103833600231 91.515709650618859 86.117130596864556 88.496834669264572 91.909929184469661 92.857563233670717 91.449771784042326 96.127102195674468 94.534011030186761 95.49691283714067 92.868988444762763 88.595669768906092 95.350664867391018 93.474948980901317 92.5040226020175 92.236981705058824 90.368962618049665 91.526479316812186 93.472838945758554 94.449290631645894 95.534975412822817 94.706322762740129 94.647364693411163 93.564366475703125 96.557075265363252 96.24640258762301 95.030454596682304 96.501608557927938 96.460762842965948 97.958097628604378 97.617899091564027 97.698402346359074 98.674505774018982 98.573894264763524 99.353679554494036 97.044639710328767 91.869478552370737 91.486517416847576 92.476785296783476 92.484382593913324 92.339603747106352 92.131997945452042 93.369848159705498 94.827586862845109 93.104244193752507 95.769891683204307 96.012715463926639 96.280768943630662 97.553881035048036 99.804653473259791 99.980313167260206 99.448988173765187 99.975490229791021 101.57492320686595 102.06922454628172 101.62017043757652 104.11195805495967 103.9354525909783 105.89338668454276 103.61736406157122 103.35846772467127 104.05397744989932 101.16662701693096 102.96389993259302 105.14841258485832 106.21630107795875 106.95947242917168 108.08258765344982 109.19813777253511 110.42495200548012 110.09863111982258 111.54198588020672 113.03911873460402 115.04785463127986 116.29648329134579 117.77701388587498 117.97305692907007 119.78938747143076 121.11387496774589 121.04215133213016 117.55058458070016 117.53253368366745 115.76436520558488 118.66006212985309 116.72988333905425 120.64926337385491 121.42293219555714 123.43633592309664 123.14272204542182 118.46255581679476 117.33594045100378 112.85120269222926 114.13875433065692 112.87733376544668 114.61285376634105 115.55406698738227 118.70768863736126 118.66490847964009 120.33395213064821 122.11860288047014 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41012 41019 41026 41033 41040 41047 41054 41061 41068 41075 41082 410 89 41096 41103 41110 41117 41124 41131 41138 41145 41152 41159 41166 41173 41180 41187 41194 41201 41208 41215 41222 41229 41236 41243 41250 41257 41264 41271 41278 41285 41292 41299 41306 41313 41320 41327 41334 41341 41348 41355 41362 41369 41376 41383 41390 41397 41404 41411 41418 41425 41432 41439 41446 41453 41460 41467 41474 41481 41488 41495 41502 41509 41516 41523 41530 41537 41544 41551 41558 41565 41572 41579 41586 41593 41600 41607 41614 41621 41628 41635 41642 41649 41656 41663 41670 41677 41684 41691 41698 41705 41712 41719 41726 41733 41740 41747 41754 41761 41768 41775 41782 41789 41796 41803 41810 41817 41824 41831 41838 41845 41852 41859 41866 41873 41880 41887 41894 41901 41908 41915 41922 41929 41936 41943 41950 41957 41964 41971 41978 41985 41992 41999 42006 42013 42020 42027 42034 42041 42048 42055 42062 42069 42076 42083 42090 42097 42104 42111 42118 42125 42132 42139 42146 42153 42160 42167 42174 42181 42188 42195 42202 42209 42216 42223 42230 42237 42244 42251 42258 42265 42272 42279 42286 42293 42300 42307 42314 42321 42328 42335 42342 42349 42356 42363 42370 42377 42384 42391 42398 42405 42412 42419 42426 42431 100 99.460992907801426 103.71631205673759 108.31205673758866 103.94326241134752 98.808510638297861 96.62411347517731 100.6241134751773 106.15602836879434 104.9645390070922 103.71631205673759 105.07801418439715 103.63120567375887 105.04964539007094 105.81560283687944 104.62411347517731 107.54609929078013 110.32624113475178 105.44680851063831 107.60283687943262 100.68085106382981 93.531914893617014 95.404255319148945 88.879432624113477 95.262411347517727 92.170212765957444 89.900709219858157 92.510638297872333 84.170212765957459 86.042553191489361 85.106382978723403 93.163120567375898 92.453900709219866 96.62411347517731 96.595744680851055 97.645390070921991 92.482269503546092 88.567375886524829 96.170212765957444 94.382978723404264 92.226950354609926 94.78014184397162 93.418439716312051 93.900709219858157 92.737588652482259 92.141843971631204 93.219858156028366 96.99290780141844 98.83687943262413 96.737588652482273 97.673758865248232 99.517730496453893 103.82978723404254 107.14893617021278 105.53191489361704 104.42553191489364 105.30496453900709 101.3049645390071 100.48226950354611 104.48226950354609 99.347517730496463 96.113475177304977 93.049645390070907 96.737588652482273 94.695035460992912 94.269503546099287 91.205673758865245 92.62411347517731 96.510638297872347 97.21985815602838 96.425531914893625 95.858156028368796 94.950354609929079 94.439716312056731 100.14184397163119 101.73049645390071 100.51063829787235 99.517730496453893 104.08510638297872 104.19858156028367 102.24113475177306 101.53191489361701 76.198581560283685 73.560283687943269 76.652482269503537 78.127659574468083 76.255319148936167 74.354609929078023 73.248226950354606 75.886524822695037 82.269503546099287 84.482269503546107 85.560283687943269 88.170212765957444 87.432624113475171 90.354609929078023 90.695035460992898 91.035460992907815 95.489361702127653 95.886524822695023 96.425531914893625 94.78014184397162 94.042553191489347 93.645390070921991 95.148936170212764 95.63120567375887 95.801418439716329 96.255319148936167 91.744680851063848 95.092198581560297 93.106382978723403 94.241134751773046 94.524822695035454 96.312056737588662 98.326241134751768 97.78723404255318 99.971631205673759 98.439716312056746 96.907801418439703 93.815602836879435 94.382978723404264 97.730496453900713 98.042553191489361 99.092198581560282 99.659574468085111 106.24113475177306 107.77304964539007 106.21276595744679 109.13475177304963 106.41134751773049 109.95744680851062 112.51063829787233 114.38297872340426 114.12765957446807 114.21276595744681 112.59574468085106 114.46808510638297 117.36170212765957 116.22695035460993 118.07092198581559 123.34751773049643 125.04964539007091 125.9290780141844 125.41843971631207 123.29078014184398 120.85106382978724 123.31914893617022 122.46808510638299 124.1985815602837 125.44680851063829 121.90070921985816 121.19148936170212 114.2695035460993 121.24822695035462 126.32624113475177 124 129.78723404255319 128.25531914893617 128.56737588652481 119.46099290780141 122.18439716312058 118.35460992907801 119.63120567375887 118.26950354609929 116.99290780141844 117.84397163120568 119.94326241134752 121.84397163120568 122.43971631205672 125.98581560283687 127.20567375886527 126.46 808510638297 128.22695035460993 134.29787234042553 130.75177304964541 133.13475177304966 132.7659574468085 125.84397163120566 124.822695035461 128.14184397163123 131.0921985815603 130.89361702127661 131.48936170212767 132.48226950354612 137.27659574468086 133.24822695035462 134.80851063829789 123.48936170212765 123.14893617021276 130.49645390070924 132.36879432624113 134.63829787234042 135.88652482269504 137.58865248226951 137.19148936170214 135.31914893617022 130.92198581560282 135.8581560283688 137.1631205673759 135.29078014184398 147.43262411347519 153.36170212765958 153.81560283687944 152.68085106382978 158.95035460992909 162.26950354609932 164.62411347517732 159.17730496453902 157.3049645390071 160.96453900709221 169.33333333333334 169.02127659574469 174.49645390070921 171.91489361702128 172.73758865248229 177.98581560283688 176.87943262411346 176.17021276595744 177.24822695035459 179.91489361702128 176.02836879432624 175.31914893617019 175.57446808510639 175.51773049645391 180.85106382978725 175.94326241134752 180.96453900709218 187.29078014184398 189.75886524822695 193.36170212765958 187.8581560283688 181.78723404255319 174.04255319148936 176.34042553191489 166.41134751773049 173.10638297872342 170.55319148936169 173.95744680851064 166.15602836879432 170.21276595744681 170.72340425531917 175.31914893617019 190.0709219858156 192.31205673758868 187.82978723404253 196.70921985815605 200.31205673758868 203.88652482269504 195.17730496453899 202.89361702127658 20 5.24822695035459 204.6241134751773 194.32624113475177 191.34751773049646 190.04255319148936 195.29078014184398 185.21985815602841 190.80851063829789 202.97872340425531 205.56028368794324 200.9929078014184 Emerging Market Equity 40613 40620 40627 40634 40641 40648 40655 40662 40669 40676 40683 40690 40697 40704 40711 40718 40725 40732 40739 40746 40753 40760 40767 40774 40781 40788 40795 40802 40809 40816 40823 40830 40837 40844 40851 40858 40865 40872 40879 40886 40893 40900 40907 40914 40921 40928 40935 40942 40949 40956 40963 40970 40977 40984 40991 40998 41005 41012 41019 41026 41033 41040 41047 41054 41061 41068 41075 41082 41089 41096 41103 41110 41117 41124 41131 41138 41145 41152 41159 41166 41173 41180 41187 41194 41201 41208 41215 41222 41229 41236 41243 41250 41257 41264 41271 41278 41285 41292 41299 41306 41313 41320 41327 41334 41341 41348 41355 41362 41369 41376 41383 41390 41397 41404 41411 41418 41425 41432 41439 41446 41453 41460 41467 41474 41481 41488 41495 41502 41509 41516 41523 41530 41537 41544 41551 41558 41565 41572 41579 41586 41593 41600 41607 41614 41621 41628 41635 41642 41649 41656 41663 41670 41677 41684 41691 41698 41705 41712 41719 41726 41733 41740 41747 41754 41761 41768 41775 41782 41789 41796 41803 41810 41817 41824 41831 41838 41845 41852 41859 41866 41873 41880 41887 41894 41901 41908 41915 41922 41929 41936 41943 41950 41957 41964 41971 41978 41985 41992 41999 42006 42013 42020 42027 42034 42041 42048 42055 42062 42069 42076 42083 42090 42097 42104 42111 42118 42125 42132 42139 42146 42153 42160 42167 42174 42181 42188 42195 42202 42209 42216 42223 42230 42237 42244 42251 42258 42265 42272 42279 42286 42293 42300 42307 42314 42321 42328 42335 42342 42349 42356 42363 42370 42377 42384 42391 42398 42405 42412 42419 42426 42431 100 99.105113123804713 103.19525132609246 106.91011438674988 108.79641323566558 106.58986757117599 108.79009850972467 108.61599249449716 104.94533251542597 103.2629091040306 102.889438169812 103.54526756395914 104.23898531375167 101.83397683397683 99.568794428607504 100.64500414967705 104.34994406957023 104.99855663407065 102.44289683542019 104.02879515029049 102.63504492476456 93.915310504095544 89.284812182008437 87.518493125969769 88.038104860534759 92.184173492584705 89.51665283440984 88.121098401472238 77.718940569407863 79.423916573449276 79.736946559376463 84.391801681521301 82.999855663407075 91.123299534514487 89.274889041244194 87.607801392848117 84.263702955291748 79.150579150579148 86.676830368419161 84.272723992350166 81.558293941471518 83.688160790964545 82.667881499657199 83.630426153790637 85.963266337098105 89.766535560928091 91.708764839605962 94.572944105654372 94.012737704326497 95.844910330891636 96.304983220871065 97.421787608703497 95.623894922960346 95.924295457005741 93.995597733915488 93.949590444917547 93.52199328834844 92.674015804856921 92.150795655468556 91.969472810594311 91.379496986973635 87.595171940966338 81.785 624075343705 81.381481615126475 80.635441850395125 81.655721141702458 83.464439071915706 82.739147692418712 84.558690867102086 85.33991267636128 83.546530509147331 84.515389889221666 84.95651860137842 85.951538988922167 88.338505394580153 87.5987803557897 87.095406487929864 85.458990365532429 87.397611229386939 91.479630498322095 90.805759030058098 90.450330169956345 91.03669757875366 89.912676361274507 90.757947533648476 89.371414137769278 90.63255511853643 89.396673041532864 87.487821599971141 89.844116479630515 90.843647385703463 92.380832100458264 94.073178652617912 94.092122830440587 95.188178833038648 97.237758452711731 96.799336051672498 97.493955905170864 96.445711398982411 96.779489770143968 95.701475841662756 96.211164435463502 95.02670226969293 3 95.003247573341042 96.158842420524664 94.020856637679074 91.605925017139981 93.35871251759103 90.943780897051923 91.979395951358569 91.218020423627905 92.227474470465125 94.022660845090755 94.78764478764478 94.338397142135463 92.617183271388882 91.011438674990075 88.463897809692199 86.031826218742097 81.238047125897594 84.827517771443013 82.77523184065241 85.281275935481546 85.742250929166815 86.739977627828097 86.182477537617729 85.8234402626926 86.431458160430125 84.144625266120599 83.854147872839462 86.216757478439717 89.023202107314262 91.39844116479631 90.199545339732254 90.924836719229233 92.304153285461695 94.004618770973906 92.67040739003356 92.724533612384079 89.786381842456606 90.676758200122691 91.037599682459486 91.859416158481579 90.408833399487605 89.351567856240749 89.151300833543829 89.990257279976902 88.360155883520378 87.517591022263915 87.708837007902432 85.690831017933817 84.484718363223038 84.554180348572871 86.359289863962758 86.535200086601961 87.181106339984836 87.208169451160117 84.589362393100714 85.245191787247862 88.849096092086739 90.394399740194132 91.603218706022446 91.281167683036841 89.610471619817417 90.516183740482802 90.837332659762566 93.092591924367625 94.082199689676344 92.708295745678925 94.263522534550575 94.643308194710073 94.166997438025462 94.376285497780827 95.839497708656594 95.503013026377531 95.917078627359004 97.309024645473258 95.634720167430459 94.315844549489412 96.93194529643128 97.704146068632042 98.1380579511 42073 98.945440767870679 95.76101468624833 95.074513766102569 92.367300544870631 89.96409627250749 89.29653953018439 88.113881571825502 88.801284595677117 91.6600512394905 89.096272507487456 89.381337278533536 90.602785696243643 90.636163533359806 88.918558077436586 84.654313859921331 85.212716053837553 85.928084292570276 86.035434633565472 86.725543968534623 86.372821419550391 89.388554108180273 86.747194457474833 88.277162342582898 89.006062136903253 88.804893010500479 89.333525782123914 87.615018222494854 84.758055786093166 87.461660592501715 86.431458160430125 89.697975679284099 93.330747302709909 94.060549200736119 95.668098004546607 94.359145527369819 93.362320932414406 94.12550066755675 93.604084725580037 90.591058348067705 88.599213365568502 88.357449572402842 87.915418756540248 88.462995705986359 86.990762458052174 84.152744199473176 84.949301771731683 82.127521379857825 81.340886948363575 79.842492692959993 77.926424421751534 73.285100855194315 73.995056471691996 71.138996138996148 72.392920290116564 74.861978133006176 71.189513946523292 72.538158986757111 77.519575650416783 78.057229459098622 78.3531194746148 76.483960596110137 76.901634611915 74.073539494100231 76.090643380363005 74.546241835961467 73.275177714430058 69.783134269115578 71.240031754050449 72.55529895716812 71.645978421679359 66.761988958250654 63.976292714610473 64.108901959369248 66.969472810594311 66.720492187781915 64.161223974308086 66.844080395482266 66.757478439721424 69.38079601 6310043 Gold 40613 40620 40627 40634 40641 40648 40655 40662 40669 40676 40683 40690 40697 40704 40711 40718 40725 40732 40739 40746 40753 40760 40767 40774 40781 40788 40795 40802 40809 40816 40823 40830 40837 40844 40851 40858 40865 40872 40879 40886 40893 40900 40907 40914 40921 40928 40935 40942 40949 40956 40963 40970 40977 40984 40991 40998 41005 41012 41019 41026 41033 41040 41047 41054 41061 41068 41075 41082 41089 41096 41103 41110 41117 41124 41131 41138 41145 41152 41159 41166 41173 41180 41187 41194 41201 41208 41215 41222 41229 41236 41243 41250 41257 41264 41271 41278 41285 41292 41299 41306 41313 41320 41327 41334 41341 41348 41355 41362 41369 41376 41383 41390 41397 41404 41411 41418 41425 41432 41439 41446 41453 41460 41467 41474 41481 41488 41495 41502 41509 41516 41523 41530 41537 41544 41551 41558 41565 41572 41579 41586 41593 41600 41607 41614 41621 41628 41635 41642 41649 41656 41663 41670 41677 41684 41691 41698 41705 41712 41719 41726 41733 41740 41747 41754 41761 41768 41775 41782 41789 41796 41803 41810 41817 41824 41831 41838 41845 41852 41859 41866 41873 41880 41887 41894 41901 41908 41915 41922 41929 41936 41943 41950 41957 41964 41971 41978 41985 41992 41999 42006 42013 42020 42027 42034 42041 42048 42055 42062 42069 42076 42083 42090 42097 42104 42111 42118 42125 42132 42139 42146 42153 42160 42167 42174 42181 42188 42195 42202 42209 42216 42223 42230 42237 42244 42251 42258 42265 42272 42279 42286 42293 42300 42307 42314 42321 42328 42335 42342 42349 42356 42363 42370 42377 42384 42391 42398 42405 42412 42419 42426 42431 100 100.43489056791175 101.72821113121209 101.73104891632082 104.40778972012346 104.8206874534426 106.92987123550071 109.03125110850979 105.3740555496435 107.32503281189032 106.3318080238374 108.21396899719768 108.20119896420846 109.34340747046932 108.39629669043313 107.6230002483062 105.63016565570574 108.48143024369479 112.28051505799723 113.13397892944556 114.54010145081763 118.20439147245577 124.32336561313895 132.77854634457807 126.7390301869391 131.38448440991809 129.91522116987693 126.80855592210281 121.01592706892271 115.08282785286086 117.37575822070873 118.83012308892911 115.24103437267215 123.38334929587458 124.74548614806145 125.10375651803768 122.79450888581462 118.89822993153845 124.18502358908871 121.73033947004363 112.81118087332838 114.15912879997163 111.55404207016424 115.03174772090384 116.48043701890674 116.81955233939911 122.36174665673443 124.87176758539962 122.03752970806288 122.87822354652194 126.1892093221241 121.68067823064099 120.57110425313044 116.92738817353057 117.14731651945655 118.02702990316058 115.69011386612749 118.77407683303183 116.64715689404422 117.39562271646979 115.81213862580258 112.14075414139263 112.8289170302579 110.88645312333725 110.29264658933704 111.99886488595652 115.30062785995531 111.26671632790605 111.91018410130893 112.96867794686247 112.42240431343338 112.32308183462807 115.44109822283708 113.26664538327836 114.18892554361322 114.73519917704232 118.24553935653223 117.72054911141853 120.26888013905148 125.87918129899613 125.81887836543579 126.13103472739529 126.97172856585435 125.43364903692668 123.06055123975736 120.87403781348658 121.31744173672449 122.74555709268917 121.29544890213188 122.97541768649569 122.66893689475364 120.3447908907098 120.37316874179704 116.76492497605619 117.72977191302189 115.57873080061015 118.44063708275692 119.91202866162961 118.44985988436025 118.16324358837926 118.52364229718705 115.42619985101628 112.29044730587776 111.35610655883083 111.96126423326595 112.98499521123763 114.34713206342451 113.44045972118761 110.29619382072293 109.94288957468696 100.27313681671457 104.0793160937888 105.15057997233161 101.91550494838779 97.858181689191582 98.449859884360251 100.18303713951262 100.10216026391402 97.90926182114859 91.859813415629105 85.395338937958925 87.985527295945516 90.361462878223549 91.511475293533408 94.257741832499732 91.446206236032779 93.082189351211369 96.726614877088451 97.565889822993157 99.047213649746368 96.975630520378857 93.241814763577025 96.38324287893299 93.964031073746952 93.383704019013152 91.263169096520187 93.587315100564012 95.0842467454152 93.305664928523285 92.889219963818235 91.017700684615662 88.185591146110468 88.350892128693545 87.268986555993038 86.834095988081302 84.809336313007705 85.975665992692697 87.44634812528821 87.506651058848576 88.169983328012492 89.391649817317585 88.364371607959995 89.4008726 18920943 93.006988045830226 93.6795431165975 94.379766592174803 95.655350998545629 97.238835089212884 95.150225249193014 91.961264233265936 91.56823099570785 93.851938561952409 91.997445993402152 92.032918307261184 91.249689617253736 91.573197119648114 91.830016671987522 91.668972367067497 88.918449150438079 88.848923415274371 90.325990564364517 92.923982831400082 93.419176332872183 93.720691000673966 94.838778333510703 92.967259054308116 91.926501365684089 91.156752154943078 93.552552232982165 93.187187400234123 90.882196445674154 91.169522187932316 89.814479798517269 87.773402859068511 86.703557873080072 86.682983931041818 85.614557837607748 86.719165691178034 87.771983966514142 87.329998935830588 83.320918023482676 81.269908836153377 81.899187684012645 84.739101131566812 83.898407293107724 85.410946756056902 86.934837359440962 84.960448370047175 84.963995601433069 83.909758433542621 85.999787166116846 89.263240041147881 91.859813415629105 89.766237451668971 89.744954063353561 86.908587847185274 85.415203433719995 85.58405164768898 84.893760419992191 82.107055443226557 83.257067858536416 85.099499840374591 85.239970203256362 85.395338937958925 85.484729168883689 84.51988223191799 83.850874392536639 84.144585151289419 86.183533751906637 86.02745557092689 84.324075059416131 83.306019651661884 83.702600120605865 85.135681600510807 83.276222908020287 82.882480224185031 82.485190308963865 81.154978539250124 76.637934092440858 76.710297612713276 77.344542584512794 79. 385619523961552 81.961618956404521 80.031215636195952 79.702032563584126 78.532865098790396 80.681068426093432 81.220957043027909 78.537831222730659 81.898478237735461 83.671384484409927 83.080415735518429 81.474938810258607 78.596715263736655 76.913199247986952 77.04941293320563 75.579440246887302 75.358093008406939 75.530488453761848 74.956546415522681 76.327906069312917 75.302046752509682 77.893654003050628 76.68972367067505 77.875208399843928 78.949310063495432 82.231208541733167 88.124578766272933 86.71632790606931 87.464084282217726 87.918839345890532

Q1

100 100 100 100 100 Sigma Mu
99.6210482239 98.7867604761 97.1043771044 99.4609929078 99.1051131238 -0.0037895178 -0.0121323952 -0.028956229 -0.0053900709 -0.0089488688 Mu 0.0713005509 0.1515285649 0.0492272054 0.1717710886 -0.0557744766 AE 0.144443735 0.0713005509
102.2144979783 101.4849867006 100.202020202 103.7163120567 103.1952513261 0.0260331506 0.0273136421 0.0319001387 0.0427837992 0.0412707082 Var 0.0208639926 0.0154618499 0.0291833451 0.0617246936 0.0345210324 ARE 0.1243456871 0.1515285649
104.7948251286 102.1746508596 101.6938616939 108.3120567376 106.9101143867 0.0252442384 0.006795726 0.0148883375 0.0443107221 0.0359983915 Sigma 0.144443735 0.1243456871 0.1708313352 0.2484445484 0.185798365 EE 0.1708313352 0.0492272054
106.4987941047 102.3187561661 102.2066822067 103.9432624113 108.7964132357 0.0162600489 0.0014103822 0.0050427873 -0.0403352541 0.0176437829 UE 0.2484445484 0.1717710886
104.596838863 99.2474139642 100.7718207718 98.8085106383 106.5898675712 -0.0178589369 -0.0300173919 -0.0140388222 -0.0493995633 -0.0202814192 EME 0.185798365 -0.0557744766
105.926058574 100.019365492 101.6835016835 96.6241134752 108.7900985097 0.0127080295 0.0077780518 0.0090469826 -0.0221073787 0.0206420271
103.9738400126 100.3802077799 102.9785029785 100.6241134752 108.6159924945 -0.0184300123 0.0036077242 0.0127356088 0.0413975338 -0.0016003848 Omega 0.0207837464 0.012679203 0.0163833452 0.0136548312 0.0187651572
102.2599178749 100.3375492485 101.9632219632 106.1560283688 104.9453325154 -0.016484167 -0.0004249695 -0.0098591549 0.0549760361 -0.033794839 0.012679203 0.0154023812 0.0124178559 0.0190321818 0.0130347687
101.7637552562 100.6497028716 101.6783216783 104.9645390071 103.262909104 -0.0048519755 0.003111035 -0.0027941475 -0.0112239444 -0.0160314268 0.0163833452 0.0124178559 0.0290711014 0.0208126963 0.0234097768
102.4265345611 101.5921757453 101.2846412846 103.7163120567 102.8894381698 0.0065129211 0.0093638913 -0.0038718223 -0.0118918919 -0.0036166997 0.0136548312 0.0190321818 0.0208126963 0.061487291 0.0175016649
101.4022690692 101.4125551132 101.0670810671 105.0780141844 103.545267564 -0.0100000014 -0.0017680558 -0.002148008 0.0131291028 0.0063741178 0.0187651572 0.0130347687 0.0234097768 0.0175016649 0.0343882592
99.3829010537 99.9718713228 99.0624190624 103.6312056738 104.2389853138 -0.0199144263 -0.014206168 -0.0198349649 -0.0137688985 0.0066996567
98.9310462464 100.4840172544 97.1820771821 105.0496453901 101.833976834 -0.0045466051 0.0051229003 -0.0189813846 0.0136873802 -0.0230720634 Inv Omega 141.7544324709 -81.6064656119 -25.3765384071 12.4717820812 -35.4929468942 Ones 1
97.2572820869 100.4159069409 96.8557368557 105.8156028369 99.5687944286 -0.0169184925 -0.0006778224 -0.00335803 0.0072913854 -0.0222438765 -81.6064656119 182.8816029373 -2.2921478465 -36.3648685855 -4.7212864954 1
97.9206584059 101.6075391779 95.2654752655 104.6241134752 100.6450041497 0.0068208396 0.0118669668 -0.0164188683 -0.0112600536 0.0108087049 -25.3765384071 -2.2921478465 92.6368468812 -13.1561531348 -41.6502902987 1
99.727981059 100.9371923733 99.3317793318 107.5460992908 104.3499440696 0.0184570108 -0.0065974121 0.0426839215 0.0279284165 0.0368119605 12.4717820812 -36.3648685855 -13.1561531348 28.8463562016 1.2532198724 1
101.1102091841 102.6075328818 98.5806785807 110.3262411348 104.9985566341 0.013859983 0.0165483155 -0.0075615353 0.025850699 0.0062157442 -35.4929468942 -4.7212864954 -41.6502902987 1.2532198724 77.9528313825 1
97.1738201004 98.5565846201 96.2393162393 105.4468085106 102.4428968354 -0.0389316679 -0.0394800279 -0.0237507225 -0.0442273078 -0.0243399517
99.9831958089 99.1074037454 98.1351981352 107.6028368794 104.0287951503 0.0289108291 0.0055888617 0.0196996609 0.0204465967 0.0154808031
96.1122178146 94.9905380271 95.7368557369 100.6808510638 102.6350449248 -0.0387162859 -0.0415394366 -0.024439166 -0.0643290272 -0.013397735 A 70.2006792326
89.1792744681 89.8479114015 86.2574462574 93.5319148936 93.9153105041 -0.07213384 -0.054138304 -0.0990152581 -0.0710059172 -0.0849586457 B 9.0655810704
90.7402380804 88.5613841959 85.4079254079 95.4042553191 89.284812182 0.017503659 -0.0143189439 -0.0098486668 0.0200181984 -0.0493050419 C 3.0189495613
89.4884107125 88.7098208524 80.1916601917 88.8794326241 87.518493126 -0.013795725 0.0016760878 -0.061074721 -0.0683913173 -0.0197829733 Delta 129.7475496276
92.0257440676 91.7213057001 81.036001036 95.2624113475 88.0381048605 0.0283537649 0.0339475925 0.0105290356 0.0718161507 0.005937165
93.1993567349 94.302683813 83.6570836571 92.170212766 92.1841734926 0.0127530908 0.0281437131 0.0323446689 -0.0324597975 0.0470940241 Solver Inputs Solver Outputs Requested G
92.3831038336 91.7056244345 80.7303807304 89.9007092199 89.5166528344 -0.0087581388 -0.0275396126 -0.0349845201 -0.0246229609 -0.0289368615 0.1673815702 0.8247334365 0.1447519243 -0.0989971751 -0.0378697801 Mu 0.1291381196 Mu 0.15 Mu 0.1291381196
91.5157096506 93.2284611453 82.6832426832 92.5106382979 88.1210984015 -0.0093890998 0.0166057068 0.0241899262 0.0290312401 -0.0155898862 0.1673815702 0.0207837464 0.012679203 0.0163833452 0.0136548312 0.0187651572 Std. Dev 0.1193518987 Std. Dev 0.1203343458 Std. Dev 0.1193518987
86.1171305969 87.6135113937 77.6327376327 84.170212766 77.7189405694 -0.0589907358 -0.0602278498 -0.0610825711 -0.0901563937 -0.1180438966 0.8247334365 0.012679203 0.0154023812 0.0124178559 0.0190321818 0.0130347687 1 0.1673815702 1 0.1571854325 1 0.1673815702
88.4968346693 90.0621187997 81.3778813779 86.0425531915 79.4239165734 0.0276333414 0.0279478287 0.0482418096 0.0222446916 0.0219377155 0.1447519243 0.0163833452 0.0124178559 0.0290711014 0.0208126963 0.0234097768 2 0.8247334365 2 0.9186515454 2 0.8247334365
91.9099291845 91.1346170345 83.4913234913 85.1063829787 79.7369465594 0.0385674191 0.0119084278 0.0259707193 -0.0108803165 0.003941256 -0.0989971751 0.0136548312 0.0190321818 0.0208126963 0.061487291 0.0175016649 3 0.1447519243 3 0.1577834156 3 0.1447519243
92.8575632337 93.1157519444 85.7446257446 93.1631205674 84.3918016815 0.0103104644 0.0217385553 0.0269884601 0.0946666667 0.0583776445 -0.0378697801 0.0187651572 0.0130347687 0.0234097768 0.0175016649 0.0343882592 4 -0.0989971751 4 -0.0931973741 4 -0.0989971751
91.449771784 93.1592244319 85.7964257964 92.4539007092 82.9998556634 -0.0151607624 0.000466865 0.0006041201 -0.0076126675 -0.0164938536 0.9999999759 0.0023843299 0.0117482257 0.002061972 -0.0014102018 -0.0005394501 5 -0.0378697801 5 -0.1404230116 5 -0.0378697801
96.1271021957 95.6326356393 89.4897694898 96.6241134752 91.1232995345 0.0511464416 0.0265503628 0.043047757 0.0451058607 0.0978729879
94.5340110302 95.4226976269 86.1279461279 96.5957446809 89.2748890412 -0.0165727576 -0.0021952549 -0.0375665663 -0.0002935995 -0.0202847186 Req G
95.4969128371 97.0012373072 86.4232064232 97.6453900709 87.6078013928 0.0101857712 0.0165426017 0.003428159 0.010866373 -0.0186736457 Mu -0.1 -0.05 0 0.05 0.1 0.15 0.2 0.25 0.3 0.35 0.1291381196
92.8689884448 93.5677157497 83.3411033411 92.4822695035 84.2637029553 -0.0275184225 -0.0353966779 -0.0356629106 -0.0528762347 -0.0381712403 Std. Dev 0.2065251022 0.1777852783 0.1525381065 0.1327908918 0.1212610733 0.1203343458 0.1302372478 0.1488234073 0.1733215275 0.2015876406 0.1193518987
88.5956697689 92.6105389658 79.5027195027 88.5673758865 79.1505791506 -0.046014485 -0.0102297761 -0.0460563118 -0.0423312883 -0.0606800274 1 0.2793624737 0.2549293288 0.2304930896 0.2060573844 0.1816214342 0.1571854325 0.1327497226 0.1083142057 0.0838784083 0.0594430305 0.1673815702
95.3506648674 98.1203052073 86.4024864025 96.170212766 86.6768303684 0.0762452061 0.0594939442 0.086786552 0.0858424087 0.0950877593 2 -0.206748934 0.018272505 0.243368155 0.4684620579 0.6935566534 0.9186515454 1.1437459631 1.3688404674 1.5939353306 1.8190297239 0.8247334365
93.4749489809 96.1813856976 86.2781662782 94.3829787234 84.2727239924 -0.0196717652 -0.0197606347 -0.0014388489 -0.0185840708 -0.0277364362 3 0.0014748087 0.0328561763 0.064089182 0.0953198873 0.1265518826 0.1577834156 0.1890154773 0.2202470722 0.2514788039 0.2827102536 0.1447519243
92.504022602 95.9423546291 83.828023828 92.2269503546 81.5582939415 -0.0103870223 -0.0024852113 -0.0283981748 -0.0228434025 -0.0322100666 4 -0.1626957252 -0.1487990961 -0.1348998807 -0.1209983092 -0.1070978312 -0.0931973741 -0.0792968993 -0.0653963931 -0.0514961207 -0.0375955226 -0.0989971751
92.2369817051 97.312293128 86.6822066822 94.780141844 83.688160791 -0.0028868031 0.0142787667 0.0340480751 0.0276837896 0.0261146567 5 1.0886073859 0.8427410813 0.5969494641 0.3511589815 0.1053678593 -0.1404230116 -0.3862142681 -0.6320053519 -0.8777964221 -1.1235874847 -0.0378697801
90.368962618 94.5206593978 87.624967625 93.4184397163 82.6678814997 -0.0202523874 -0.0286873697 0.0108760607 -0.014366956 -0.0121914412
91.5264793168 97.4410126729 88.6972286972 93.9007092199 83.6304261538 0.012808786 0.0308964547 0.0122369354 0.0051624658 0.0116435142 Sigma Mu Sigma Mu
93.4728389458 99.1945557956 89.2255892256 92.7375886525 85.9632663371 0.0212655359 0.0179959452 0.0059569001 -0.0123867069 0.0278946347 0.2065251022 -0.1 0.144443735 0.0713005509 1
94.4492906316 97.7374587312 91.8881118881 92.1418439716 89.7665355609 0.0104463681 -0.0146892846 0.0298403483 -0.0064239829 0.0442429585 0.1777852783 -0.05 0.1243456871 0.1515285649 2
95.5349754128 98.6545070646 91.6135716136 93.219858156 91.7087648396 0.0114948961 0.0093827724 -0.0029877671 0.0116995074 0.0216364513 0.1525381065 0 0.1708313352 0.0492272054 3
94.7063227627 99.2613201379 94.9753949754 96.9929078014 94.5729441057 -0.0086738144 0.0061508905 0.0366956915 0.0404747413 0.031231249 0.1327908918 0.05 0.2484445484 0.1717710886 4
94.6473646934 99.4314977666 93.783993784 98.8368794326 94.0127377043 -0.0006225357 0.0017144405 -0.0125443142 0.0190114068 -0.0059235377 0.1212610733 0.1 0.185798365 -0.0557744766 5
93.5643664757 100.0392216596 95.4105154105 96.7375886525 95.8449103309 -0.0114424551 0.0061119857 0.0173432753 -0.0212399541 0.0194885573 0.1203343458 0.15
96.5570752654 100.5191448273 95.0686350686 97.6737588652 96.3049832209 0.0319855614 0.0047973501 -0.0035832564 0.0096774194 0.0048001807 0.1302372478 0.2
96.2464025876 101.9817464147 95.9906759907 99.5177304965 97.4217876087 -0.003217503 0.0145504778 0.0096986869 0.0188788847 0.0115965379 0.1488234073 0.25
95.0304545967 101.4691794186 95.2551152551 103.829787234 95.623894923 -0.0126336981 -0.0050260661 -0.0076628352 0.0433295325 -0.018454729 0.1733215275 0.3
96.5016085579 102.6065274276 97.7518777519 107.1489361702 95.924295457 0.0154808684 0.0112088027 0.026211322 0.0319672131 0.0031414798 0.2015876406 0.35
96.460762843 103.0819641225 95.3846153846 105.5319148936 93.9955977339 -0.0004232646 0.0046335911 -0.0242170526 -0.0150913423 -0.020106457
97.9580976286 102.3519656224 94.4832944833 104.4255319149 93.9495904449 0.0155227342 -0.0070817287 -0.009449332 -0.010483871 -0.0004894622 0.1193518987 0.1291381196
97.6178990916 103.2285146061 92.8256928257 105.304964539 93.5219932883 -0.0034728986 0.0085640659 -0.0175438596 0.0084216246 -0.0045513467
97.6984023464 103.165299056 90.7381507382 101.304964539 92.6740158049 0.0008246772 -0.0006123846 -0.0224888393 -0.0379849138 -0.0090671451
98.674505774 103.8821677433 92.1004921005 100.4822695035 92.1507956555 0.0099909866 0.0069487385 0.0150139864 -0.0081209745 -0.0056458129
98.5738942648 105.7378831662 92.6702926703 104.4822695035 91.9694728106 -0.0010196302 0.0178636571 0.0061867267 0.0398080181 -0.0019676753
99.3536795545 106.2910992765 90.4946904947 99.3475177305 91.379496987 0.0079106674 0.0052319575 -0.0234768027 -0.049144719 -0.0064149093
97.0446397103 104.5957092646 90.0647500648 96.1134751773 87.595171941 -0.0232406072 -0.015950442 -0.0047510017 -0.032552827 -0.0414132838
91.8694785524 101.8824335886 85.2214452214 93.0496453901 81.7856240753 -0.0533276353 -0.0259406021 -0.0537758095 -0.0318772137 -0.0663226949
91.4865174168 103.2222985888 86.4542864543 96.7375886525 81.3814816151 -0.004168535 0.0131510895 0.0144663263 0.0396341463 -0.0049414853
92.4767852968 103.7620553932 83.5949235949 94.695035461 80.6354418504 0.0108241947 0.0052290717 -0.0330736968 -0.0211143695 -0.0091671932
92.4843825939 104.4090070809 86.1849261849 94.2695035461 81.6557211417 0.0000821536 0.0062349544 0.0309827736 -0.0044937088 0.0126529882
92.3396037471 103.0792470302 87.0344470344 91.2056737589 83.4644390719 -0.001565441 -0.0127360664 0.009856954 -0.0325007523 0.0221505353
92.1319979455 103.8538938976 87.8995078995 92.6241134752 82.7391476924 -0.0022482856 0.0075150614 0.0099392929 0.0155520995 -0.0086898251
93.3698481597 106.9546217336 89.6503496503 96.5106382979 84.5586908671 0.0134356167 0.0298566353 0.0199186752 0.0419601838 0.0219913212
94.8275868628 107.2194833135 90.5050505051 97.219858156 85.3399126764 0.0156125209 0.0024763921 0.0095337147 0.0073486185 0.0092388115
93.1042441938 107.8648567963 91.1162911163 96.4255319149 83.5465305091 -0.0181734317 0.0060191811 0.006753663 -0.0081704114 -0.021014577
95.7698916832 109.6556550863 91.6860916861 95.8581560284 84.5153898892 0.0286307838 0.0166022405 0.0062535532 -0.0058840836 0.0115966441
96.0127154639 109.4695078805 92.375032375 94.9503546099 84.9565186014 0.0025354919 -0.0016975614 0.0075141243 -0.0094702575 0.0052195075
96.2807689436 110.4559410666 94.4314944315 94.4397163121 85.9515389889 0.002791854 0.0090110315 0.0222620984 -0.0053779504 0.0117121135
97.553881035 111.232779001 95.9906759907 100.1418439716 88.3385053946 0.0132229115 0.0070330118 0.0165112452 0.060378492 0.0277710723
99.8046534733 113.3913734328 97.0784770785 101.7304964539 87.5987803558 0.0230720953 0.0194061 0.011332362 0.0158640227 -0.0083737554
99.9803131673 112.4509702246 95.2602952603 100.5106382979 87.0954064879 0.0017600351 -0.0082934281 -0.0187289899 -0.0119910764 -0.005746357
99.4489881738 112.1919036065 94.6386946387 99.5177304965 85.4589903655 -0.0053142962 -0.0023038184 -0.0065252855 -0.0098786339 -0.0187887765
99.9754902298 116.175942405 96.778036778 104.085106383 87.3976112294 0.0052941922 0.0355109297 0.022605364 0.0458950969 0.0226848089
101.5749232069 115.3083227345 98.1507381507 104.1985815603 91.4796304983 0.0159982509 -0.0074681526 0.0141840176 0.0010902153 0.0467063025
102.0692245463 114.1984121079 98.0367780368 102.2411347518 90.8057590301 0.0048663718 -0.0096255899 -0.0011610724 -0.0187857337 -0.0073663554
101.6201704376 113.7439298629 95.4208754209 101.5319148936 90.45033017 -0.0043995054 -0.0039797598 -0.0266828701 -0.006936737 -0.0039141665
104.111958055 110.5280393646 97.4307174307 76.1985815603 91.0366975788 0.0245206007 -0.0282730736 0.0210629173 -0.2495110366 0.0064827559
103.935452591 109.8782662184 95.6798756799 73.5602836879 89.9126763613 -0.0016953429 -0.0058788082 -0.0179701207 -0.0346239762 -0.0123469024
105.8933866845 111.1575841502 97.3012173012 76.6524822695 90.7579475336 0.0188379811 0.011643048 0.0169454821 0.0420362514 0.0094010234
103.6173640616 112.0289209334 95.9906759907 78.1276595745 89.3714141378 -0.0214935294 0.0078387524 -0.0134689097 0.0192450037 -0.015277267
103.3584677247 111.2641441283 97.4928774929 76.2553191489 90.6325551185 -0.0024985806 -0.0068266015 0.0156494523 -0.0239651416 0.0141112345
104.0539774499 110.3627439223 95.912975913 74.3546099291 89.3966730415 0.0067291025 -0.0081014438 -0.0162053026 -0.0249255952 -0.0136361827
101.1666270169 109.0671975377 93.3592333592 73.2482269504 87.4878216 -0.027748583 -0.0117389831 -0.0266256211 -0.0148798169 -0.0213526005
102.9638999326 111.032134569 97.0266770267 75.8865248227 89.8441164796 0.0177654724 0.0180158386 0.0392831382 0.0360185902 0.0269328329
105.1484125849 112.4416827887 97.7570577571 82.2695035461 90.8436473857 0.0212162967 0.0126949574 0.007527628 0.0841121495 0.0111251682
106.216301078 114.2544994758 98.9898989899 84.4822695035 92.3808321005 0.0101560116 0.0161222835 0.012611276 0.0268965517 0.0169212131
106.9594724292 114.5667286564 99.0313390313 85.5602836879 94.0731786526 0.006996773 0.0027327517 0.000418629 0.0127602418 0.0183192391
108.0825876535 116.331219454 99.6322196322 88.170212766 94.0921228304 0.0105003811 0.0154014243 0.0060675803 0.0305039788 0.000201377
109.1981377725 116.5904459693 98.907018907 87.4326241135 95.188178833 0.0103212751 0.0022283486 -0.0072787772 -0.0083655084 0.0116487541
110.4249520055 116.8478408809 102.1082621083 90.3546099291 97.2377584527 0.0112347542 0.0022076844 0.0323661883 0.0334198572 0.0215318713
110.0986311198 118.5168349967 101.8648018648 90.695035461 96.7993360517 -0.0029551372 0.0142834827 -0.0023843344 0.0037676609 -0.004508767
111.5419858802 119.8207336431 101.8855218855 91.0354609929 97.4939559052 0.0131096522 0.0110018011 0.0002034071 0.0037535189 0.0071758742
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142.9651911219 180.5032851243 136.1667961668 175.3191489362 88.5992133656 -0.0481962171 -0.0336250193 -0.0270200244 -0.0040290089 -0.021987214
144.2101850196 181.4130655846 136.2185962186 175.5744680851 88.3574495724 0.0087083708 0.0050402432 0.0003804162 0.0014563107 -0.0027287352
145.556334763 182.209676273 134.7837347837 175.5177304965 87.9154187565 0.0093346371 0.0043911429 -0.0105335209 -0.000323154 -0.0050027566
144.500093898 184.2590757982 138.7567987568 180.8510638298 88.462995706 -0.0072565778 0.0112474791 0.0294773251 0.0303862938 0.0062284518
144.3035591962 182.701986866 133.9756539757 175.9432624113 86.9907624581 -0.0013601009 -0.0084505413 -0.0344570127 -0.0271372549 -0.0166423626
143.1007835605 183.7548870012 136.0424760425 180.9645390071 84.1527441995 -0.0083350379 0.0057629375 0.0154268481 0.0285391809 -0.0326243635
147.7405840267 189.3195833156 141.9010619011 187.2907801418 84.9493017717 0.0324233058 0.0302832562 0.0430643872 0.0349584574 0.0094656161
145.0306667708 187.0930916617 138.073038073 189.7588652482 82.1275213799 -0.0183424025 -0.0117604931 -0.0269767102 0.0131778249 -0.0332172288
148.4976681478 193.2176075841 138.55995856 193.3617021277 81.3408869484 0.0239052985 0.032735126 0.0035265429 0.0189863956 -0.0095782074
142.6510592742 188.9981787203 138.7205387205 187.8581560284 79.842492693 -0.0393717218 -0.0218377037 0.0011589218 -0.0284624413 -0.0184211694
139.7762256517 187.490360016 135.0841750842 181.7872340426 77.9264244218 -0.0201529076 -0.0079779536 -0.0262135922 -0.0323165207 -0.0239981018
136.5126626838 182.0229325649 126.3403263403 174.0425531915 73.2851008552 -0.023348484 -0.0291611123 -0.0647288903 -0.0426029963 -0.0595603302
138.3795784653 183.6466540996 127.2468272468 176.3404255319 73.9950564717 0.01367577 0.0089204229 0.0071750718 0.013202934 0.0096875846
132.7264636189 177.2510729924 123.569023569 166.4113475177 71.138996139 -0.0408522335 -0.0348254704 -0.0289029106 -0.0563063063 -0.0385979884
134.1069563059 179.5103503691 124.289044289 173.1063829787 72.3929202901 0.0104010357 0.0127461986 0.0058268707 0.0402318445 0.0176263965
136.7764639013 179.8050594639 124.0196840197 170.5531914894 74.861978133 0.01990581 0.0016417387 -0.0021672085 -0.0147492625 0.034106344
133.4076508587 181.4412334565 122.1756021756 173.9574468085 71.1895139465 -0.0246300639 0.0090997105 -0.0148692674 0.0199600798 -0.0490564674
133.6918676173 180.7334199738 121.9943019943 166.1560283688 72.5381589868 0.0021304382 -0.0039010619 -0.0014839311 -0.0448467058 0.0189444339
139.7231821191 182.6821869545 126.9774669775 170.2127659574 77.5195756504 0.0451135481 0.0107825491 0.0408475224 0.0244152296 0.0686730506
139.4204901152 184.1698711804 127.2002072002 170.7234042553 78.0572294591 -0.0021663692 0.0081435648 0.0017541713 0.003 0.0069357166
141.6274668864 187.9890771287 131.8207718208 175.3191489362 78.3531194746 0.0158296443 0.020737409 0.0363251344 0.0269192423 0.0037906805
138.680968159 192.9318003516 131.4011914012 190.0709219858 76.4839605961 -0.0208045713 0.0262926086 -0.0031829613 0.0841423948 -0.023855577
138.5806639365 193.0821059359 132.9137529138 192.3120567376 76.9016346119 -0.0007232732 0.0007790607 0.0115110183 0.0117910448 0.005460936
134.6051879882 185.6759892254 129.4276094276 187.829787234 74.0735394941 -0.0286870898 -0.0383573438 -0.0262286137 -0.0233072725 -0.0367754877
140.0886103551 192.842329384 133.6285936286 196.7092198582 76.0906433804 0.0407370804 0.0385959444 0.0324581766 0.0472738257 0.027231099
138.6872660725 192.3406566781 134.2760942761 200.3120567376 74.546241836 -0.0100032706 -0.0026014657 0.0048455247 0.0183155466 -0.0202968654
137.3423835209 192.3870859845 129.8161098161 203.8865248227 73.2751777144 -0.0096972317 0.000241391 -0.0332150297 0.0178444979 -0.0170506801
134.0861749473 190.8068171026 124.6775446775 195.1773049645 69.7831342691 -0.0237086942 -0.0082140071 -0.0395834165 -0.042716015 -0.0476565674
136.1468569241 196.2692584555 126.5527065527 202.8936170213 71.2400317541 0.0153683404 0.0286281247 0.0150400931 0.0395348837 0.0208775014
138.8451265519 197.5023704728 128.231028231 205.2482269504 72.5552989572 0.0198188169 0.0062827568 0.0132618395 0.0116051454 0.0184624736
141.4876455979 198.1665335791 128.0704480704 204.6241134752 71.6459784217 0.0190321339 0.0033628108 -0.0012522723 -0.003040774 -0.0125327929
133.3401121749 192.0536061918 119.5700595701 194.3262411348 66.7619889583 -0.0575847692 -0.0308474255 -0.0663727552 -0.0503258006 -0.0681683686
130.723203278 190.3632674445 115.6280756281 191.3475177305 63.9762927146 -0.0196258189 -0.0088013903 -0.0329679851 -0.0153284672 -0.0417257827
131.3417772004 193.1941973755 118.6117586118 190.0425531915 64.1089019594 0.0047319367 0.0148711985 0.0258041394 -0.0068198666 0.0020727873
133.7365558789 197.2287635493 119.854959855 195.2907801418 66.9694728106 0.0182331831 0.0208834749 0.0104812647 0.0276160621 0.0446204936
132.9524246777 196.3763506322 114.0015540016 185.219858156 66.7204921878 -0.0058632525 -0.0043219503 -0.0488374103 -0.0515688553 -0.0037178226
127.4276678636 195.9219627631 109.1945091945 190.8085106383 64.1612239743 -0.0415543893 -0.0023138625 -0.0421664849 0.030173074 -0.0383580536
132.8681842316 203.039583302 114.1414141414 202.9787234043 66.8440803955 0.0426949379 0.0363288548 0.0453036053 0.0637823372 0.0418142962
131.190293651 204.6605875866 115.6798756799 205.5602836879 66.7574784397 -0.0126282344 0.007983686 0.0134785568 0.0127183788 -0.0012955815
135.5489853438 205.0525860155 118.8655788656 200.9929078014 69.3807960163 0.0332241934 0.0019153587 0.0275389575 -0.0222191554 0.0392962352

Distribution of Assets

0.14444373495326493 0.12434568709907047 0.17083133516048393 0.24844454842723893 0.18579836501419383 7.1300550891277209E-2 0.15152856487942587 4.9227205413489038E-2 0.17177108855066384 -5.5774476564087898E-2

AE

ARE

EE

UE

EME

0.14444373495326493 0.12434568709907047 0.17083133516048393 0.24844454842723893 0.18579836501419383 7.1300550891277209E-2 0.15152856487942587 4.9227205413489038E-2 0.17177108855066384 -5.5774476564087898E-2

Standard Deviation (σ)

Mean (µ)

MVS of 5 Risk Assets

MVS 0.20652510219065712 0.17778527834580712 0.15253810651964528 0.13279089177147946 0.12126107325939828 0.12033434578340051 0.13023724781350929 0.14882340728781848 0.17332152747112498 0.20158764063503645 -0.1 -0.05 0 0.05 0.1 0.15000000000000002 0.2 0.25 0.3 0.35 G 0.11935189872297838 0.12913811955552174 Assets

AE

ARE

EE

UE

EME

0.14444373495326493 0.12434568709907047 0.17083133516048393 0.24844454842723893 0.18579836501419383 7.1300550891277209E-2 0.15152856487942587 4.9227205413489038E-2 0.17177108855066384 -5.5774476564087898E-2

Standard Deviation (σ)

Mean (µ)

Q2

100.00 100.00 100.00 100.00 100.00 100.00 Mu 0.0713005509 0.1515285649 0.0492272054 0.1717710886 -0.0557744766 -0.0110523547 Sigma Mu
99.62 98.79 97.10 99.46 99.11 100.43 -0.0037895178 -0.0121323952 -0.028956229 -0.0053900709 -0.0089488688 0.0043489057 Var 0.0207395751 0.0154618499 0.0291833451 0.0617246936 0.0345210324 0.0293952181 0.1440124129 0.0713005509
102.21 101.48 100.20 103.72 103.20 101.73 0.0260331506 0.0273136421 0.0319001387 0.0427837992 0.0412707082 0.0128772039 Sigma 0.1440124129 0.1243456871 0.1708313352 0.2484445484 0.185798365 0.1714503371 0.1243456871 0.1515285649
104.79 102.17 101.69 108.31 106.91 101.73 0.0252442384 0.006795726 0.0148883375 0.0443107221 0.0359983915 0.0000278958 0.1708313352 0.0492272054
106.50 102.32 102.21 103.94 108.80 104.41 0.0162600489 0.0014103822 0.0050427873 -0.0403352541 0.0176437829 0.0263119356 0.2484445484 0.1717710886
104.60 99.25 100.77 98.81 106.59 104.82 -0.0178589369 -0.0300173919 -0.0140388222 -0.0493995633 -0.0202814192 0.0039546641 Omega 0.0207837464 0.012679203 0.0163833452 0.0136548312 0.0187651572 0.0020279888 0.185798365 -0.0557744766
105.93 100.02 101.68 96.62 108.79 106.93 0.0127080295 0.0077780518 0.0090469826 -0.0221073787 0.0206420271 0.0201218274 0.012679203 0.0154023812 0.0124178559 0.0190321818 0.0130347687 0.000396705 0.1714503371 -0.0110523547
103.97 100.38 102.98 100.62 108.62 109.03 -0.0184300123 0.0036077242 0.0127356088 0.0413975338 -0.0016003848 0.0196519443 0.0163833452 0.0124178559 0.0290711014 0.0208126963 0.0234097768 -0.0004008089
102.26 100.34 101.96 106.16 104.95 105.37 -0.016484167 -0.0004249695 -0.0098591549 0.0549760361 -0.033794839 -0.0335426359 0.0136548312 0.0190321818 0.0208126963 0.061487291 0.0175016649 -0.0011623517
101.76 100.65 101.68 104.96 103.26 107.33 -0.0048519755 0.003111035 -0.0027941475 -0.0112239444 -0.0160314268 0.0185147782 0.0187651572 0.0130347687 0.0234097768 0.0175016649 0.0343882592 0.0058874691
102.43 101.59 101.28 103.72 102.89 106.33 0.0065129211 0.0093638913 -0.0038718223 -0.0118918919 -0.0036166997 -0.0092543628 0.0020279888 0.000396705 -0.0004008089 -0.0011623517 0.0058874691 0.0292821596
101.40 101.41 101.07 105.08 103.55 108.21 -0.0100000014 -0.0017680558 -0.002148008 0.0131291028 0.0063741178 0.0177008273
99.38 99.97 99.06 103.63 104.24 108.20 -0.0199144263 -0.014206168 -0.0198349649 -0.0137688985 0.0066996567 -0.0001180073 Inv Omega 141.8198375898 -81.7277790087 -25.8761849497 12.4561217137 -34.8667487121 -1.5642059275 Ones 1
98.93 100.48 97.18 105.05 101.83 109.34 -0.0045466051 0.0051229003 -0.0189813846 0.0136873802 -0.0230720634 0.0105563387 -81.7277790087 183.106614993 -1.365403574 -36.3358217401 -5.8827587147 2.9012887325 1
97.26 100.42 96.86 105.82 99.57 108.40 -0.0169184925 -0.0006778224 -0.00335803 0.0072913854 -0.0222438765 -0.0086618005 -25.8761849497 -1.365403574 96.4537754632 -13.0365195554 -46.4339794381 11.9493718132 1
97.92 101.61 95.27 104.62 100.65 107.62 0.0068208396 0.0118669668 -0.0164188683 -0.0112600536 0.0108087049 -0.0071339747 12.4561217137 -36.3358217401 -13.0365195554 28.8501058639 1.1032852214 0.3745278676 1
99.73 100.94 99.33 107.55 104.35 105.63 0.0184570108 -0.0065974121 0.0426839215 0.0279284165 0.0368119605 -0.0185168095 -34.8667487121 -5.8827587147 -46.4339794381 1.1032852214 83.9481444438 -14.975936525 1
101.11 102.61 98.58 110.33 105.00 108.48 0.013859983 0.0165483155 -0.0075615353 0.025850699 0.0062157442 0.0269929008 -1.5642059275 2.9012887325 11.9493718132 0.3745278676 -14.975936525 37.4090014159 1
97.17 98.56 96.24 105.45 102.44 112.28 -0.0389316679 -0.0394800279 -0.0237507225 -0.0442273078 -0.0243399517 0.0350206004
99.98 99.11 98.14 107.60 104.03 113.13 0.0289108291 0.0055888617 0.0196996609 0.0204465967 0.0154808031 0.0076011752 A 105.025994176
96.11 94.99 95.74 100.68 102.64 114.54 -0.0387162859 -0.0415394366 -0.024439166 -0.0643290272 -0.013397735 0.0124288258 B 10.4187668019
89.18 89.85 86.26 93.53 93.92 118.20 -0.07213384 -0.054138304 -0.0990152581 -0.0710059172 -0.0849586457 0.0319913286 C 3.0715294626
90.74 88.56 85.41 95.40 89.28 124.32 0.017503659 -0.0143189439 -0.0098486668 0.0200181984 -0.0493050419 0.0517660475 Delta 214.0397337822
89.49 88.71 80.19 88.88 87.52 132.78 -0.013795725 0.0016760878 -0.061074721 -0.0683913173 -0.0197829733 0.0680095869
92.03 91.72 81.04 95.26 88.04 126.74 0.0283537649 0.0339475925 0.0105290356 0.0718161507 0.005937165 -0.0454856325
93.20 94.30 83.66 92.17 92.18 131.38 0.0127530908 0.0281437131 0.0323446689 -0.0324597975 0.0470940241 0.0366536987 Solver Inputs Solver Outputs Requested G
92.38 91.71 80.73 89.90 89.52 129.92 -0.0087581388 -0.0275396126 -0.0349845201 -0.0246229609 -0.0289368615 -0.0111829281 0.0975108515 0.5779145256 0.2065303694 -0.0627300183 -0.1628933276 0.3436675819 Mu 0.0992017996 Mu 0.15 Mu 0.0992017996
91.52 93.23 82.68 92.51 88.12 126.81 -0.0093890998 0.0166057068 0.0241899262 0.0290312401 -0.0155898862 -0.0239130197 0.0975108515 0.0207837464 0.012679203 0.0163833452 0.0136548312 0.0187651572 0.0020279888 Std. Dev 0.097577928 Std. Dev 0.1038635803 Std. Dev 0.097577928
86.12 87.61 77.63 84.17 77.72 121.02 -0.0589907358 -0.0602278498 -0.0610825711 -0.0901563937 -0.1180438966 -0.0456801105 0.5779145256 0.012679203 0.0154023812 0.0124178559 0.0190321818 0.0130347687 0.000396705 1 0.0975108515 1 0.0860338571 1 0.0975108515
88.50 90.06 81.38 86.04 79.42 115.08 0.0276333414 0.0279478287 0.0482418096 0.0222446916 0.0219377155 -0.0490274244 0.2065303694 0.0163833452 0.0124178559 0.0290711014 0.0208126963 0.0234097768 -0.0004008089 2 0.5779145256 2 0.8243034464 2 0.5779145256
91.91 91.13 83.49 85.11 79.74 117.38 0.0385674191 0.0119084278 0.0259707193 -0.0108803165 0.003941256 0.0199241747 -0.0627300183 0.0136548312 0.0190321818 0.0208126963 0.061487291 0.0175016649 -0.0011623517 3 0.2065303694 3 0.225547768 3 0.2065303694
92.86 93.12 85.74 93.16 84.39 118.83 0.0103104644 0.0217385553 0.0269884601 0.0946666667 0.0583776445 0.012390675 -0.1628933276 0.0187651572 0.0130347687 0.0234097768 0.0175016649 0.0343882592 0.0058874691 4 -0.0627300183 4 -0.0556517905 4 -0.0627300183
91.45 93.16 85.80 92.45 83.00 115.24 -0.0151607624 0.000466865 0.0006041201 -0.0076126675 -0.0164938536 -0.030203526 0.3436675819 0.0020279888 0.000396705 -0.0004008089 -0.0011623517 0.0058874691 0.0292821596 5 -0.1628933276 5 -0.3696098319 5 -0.1628933276
96.13 95.63 89.49 96.62 91.12 123.38 0.0511464416 0.0265503628 0.043047757 0.0451058607 0.0978729879 0.0706546498 0.9999999825 0.0009284459 0.0055025859 0.0019664699 -0.0005972811 -0.0015509812 0.0032722127 6 0.3436675819 6 0.2893765551 6 0.3436675819
94.53 95.42 86.13 96.60 89.27 124.75 -0.0165727576 -0.0021952549 -0.0375665663 -0.0002935995 -0.0202847186 0.0110398758
95.50 97.00 86.42 97.65 87.61 125.10 0.0101857712 0.0165426017 0.003428159 0.010866373 -0.0186736457 0.0028720107 Req G
92.87 93.57 83.34 92.48 84.26 122.79 -0.0275184225 -0.0353966779 -0.0356629106 -0.0528762347 -0.0381712403 -0.0184586594 Mu -0.1 -0.05 0 0.05 0.1 0.15 0.2 0.25 0.3 0.35 0.0992017996 Risk Reduction
88.60 92.61 79.50 88.57 79.15 118.90 -0.046014485 -0.0102297761 -0.0460563118 -0.0423312883 -0.0606800274 -0.0317300748 Std. Dev 0.1702717838 0.1429848491 0.119792642 0.1034857946 0.0975795312 0.1038635803 0.1204447774 0.1438047684 0.171189413 0.2009611522 0.097577928 5 Asset 0.1203343458
95.35 98.12 86.40 96.17 86.68 124.19 0.0762452061 0.0594939442 0.086786552 0.0858424087 0.0950877593 0.0444648643 1 0.1425155084 0.1312189542 0.1199224523 0.1086258722 0.0973295938 0.0860338571 0.0747371018 0.0592197563 0.0521448481 0.0408469199 0.0975108515 5 Asset + Gold 0.1038635803
93.47 96.18 86.28 94.38 84.27 121.73 -0.0196717652 -0.0197606347 -0.0014388489 -0.0185840708 -0.0277364362 -0.0197663458 2 -0.3882831693 -0.145765696 0.096751931 0.3392695002 0.5817869607 0.8243034464 1.0668214273 1.312518907 1.5518553445 1.7943745503 0.5779145256 RED 0.0164707655
92.50 95.94 83.83 92.23 81.56 112.81 -0.0103870223 -0.0024852113 -0.0283981748 -0.0228434025 -0.0322100666 -0.073269808 3 0.131956845 0.150675029 0.1693928961 0.1881110597 0.2068289664 0.225547768 0.2442653774 0.2640944815 0.2817019728 0.3004203113 0.2065303694
92.24 97.31 86.68 94.78 83.69 114.16 -0.0028868031 0.0142787667 0.0340480751 0.0276837896 0.0261146567 0.0119487086 4 -0.0904872836 -0.0835201924 -0.076553108 -0.0695860693 -0.0626189944 -0.0556517905 -0.0486847322 -0.0427818594 -0.0347503033 -0.0277840244 -0.0627300183
90.37 94.52 87.62 93.42 82.67 111.55 -0.0202523874 -0.0286873697 0.0108760607 -0.014366956 -0.0121914412 -0.0228197846 5 0.6477304673 0.4442625012 0.2407947435 0.0373268584 -0.1661410887 -0.3696098319 -0.5730772282 -0.7756101703 -0.9800139953 -1.1834812907 -0.1628933276
91.53 97.44 88.70 93.90 83.63 115.03 0.012808786 0.0308964547 0.0122369354 0.0051624658 0.0116435142 0.0311750752 6 0.5565676322 0.5031294003 0.4496910896 0.3962527834 0.3428145575 0.2893765551 0.2359380555 0.1825588863 0.1290621351 0.075623534 0.3436675819
93.47 99.19 89.23 92.74 85.96 116.48 0.0212655359 0.0179959452 0.0059569001 -0.0123867069 0.0278946347 0.0125938215
94.45 97.74 91.89 92.14 89.77 116.82 0.0104463681 -0.0146892846 0.0298403483 -0.0064239829 0.0442429585 0.00291135 5+Gold Sigma Mu Sigma Mu
95.53 98.65 91.61 93.22 91.71 122.36 0.0114948961 0.0093827724 -0.0029877671 0.0116995074 0.0216364513 0.047442352 0.1702717838 -0.1 0.1440124129 0.0713005509 1
94.71 99.26 94.98 96.99 94.57 124.87 -0.0086738144 0.0061508905 0.0366956915 0.0404747413 0.031231249 0.0205131178 0.1429848491 -0.05 0.1243456871 0.1515285649 2
94.65 99.43 93.78 98.84 94.01 122.04 -0.0006225357 0.0017144405 -0.0125443142 0.0190114068 -0.0059235377 -0.0226971871 0.119792642 0 0.1708313352 0.0492272054 3
93.56 100.04 95.41 96.74 95.84 122.88 -0.0114424551 0.0061119857 0.0173432753 -0.0212399541 0.0194885573 0.006888814 0.1034857946 0.05 0.2484445484 0.1717710886 4
96.56 100.52 95.07 97.67 96.30 126.19 0.0319855614 0.0047973501 -0.0035832564 0.0096774194 0.0048001807 0.0269452608 0.0975795312 0.1 0.185798365 -0.0557744766 5
96.25 101.98 95.99 99.52 97.42 121.68 -0.003217503 0.0145504778 0.0096986869 0.0188788847 0.0115965379 -0.0357283409 0.1038635803 0.15 0.1714503371 -0.0110523547 6
95.03 101.47 95.26 103.83 95.62 120.57 -0.0126336981 -0.0050260661 -0.0076628352 0.0433295325 -0.018454729 -0.009118736 0.1204447774 0.2
96.50 102.61 97.75 107.15 95.92 116.93 0.0154808684 0.0112088027 0.026211322 0.0319672131 0.0031414798 -0.0302204753 0.1438047684 0.25
96.46 103.08 95.38 105.53 94.00 117.15 -0.0004232646 0.0046335911 -0.0242170526 -0.0150913423 -0.020106457 0.0018808968 0.171189413 0.3
97.96 102.35 94.48 104.43 93.95 118.03 0.0155227342 -0.0070817287 -0.009449332 -0.010483871 -0.0004894622 0.0075094625 0.2009611522 0.35
97.62 103.23 92.83 105.30 93.52 115.69 -0.0034728986 0.0085640659 -0.0175438596 0.0084216246 -0.0045513467 -0.0197998377 0.097577928 0.0992017996
97.70 103.17 90.74 101.30 92.67 118.77 0.0008246772 -0.0006123846 -0.0224888393 -0.0379849138 -0.0090671451 0.0266571003
98.67 103.88 92.10 100.48 92.15 116.65 0.0099909866 0.0069487385 0.0150139864 -0.0081209745 -0.0056458129 -0.017907274 0.097577928 0.0992017996
98.57 105.74 92.67 104.48 91.97 117.40 -0.0010196302 0.0178636571 0.0061867267 0.0398080181 -0.0019676753 0.0064164943
99.35 106.29 90.49 99.35 91.38 115.81 0.0079106674 0.0052319575 -0.0234768027 -0.049144719 -0.0064149093 -0.0134884424 Sigma Mu
97.04 104.60 90.06 96.11 87.60 112.14 -0.0232406072 -0.015950442 -0.0047510017 -0.032552827 -0.0414132838 -0.0317012062 5 0.2065251022 -0.1
91.87 101.88 85.22 93.05 81.79 112.83 -0.0533276353 -0.0259406021 -0.0537758095 -0.0318772137 -0.0663226949 0.0061365994 0.1777852783 -0.05
91.49 103.22 86.45 96.74 81.38 110.89 -0.004168535 0.0131510895 0.0144663263 0.0396341463 -0.0049414853 -0.0172160113 0.1525381065 0
92.48 103.76 83.59 94.70 80.64 110.29 0.0108241947 0.0052290717 -0.0330736968 -0.0211143695 -0.0091671932 -0.0053550864 0.1327908918 0.05
92.48 104.41 86.18 94.27 81.66 112.00 0.0000821536 0.0062349544 0.0309827736 -0.0044937088 0.0126529882 0.0154699189 0.1212610733 0.1
92.34 103.08 87.03 91.21 83.46 115.30 -0.001565441 -0.0127360664 0.009856954 -0.0325007523 0.0221505353 0.0294803253 0.1203343458 0.15
92.13 103.85 87.90 92.62 82.74 111.27 -0.0022482856 0.0075150614 0.0099392929 0.0155520995 -0.0086898251 -0.0349860327 0.1302372478 0.2
93.37 106.95 89.65 96.51 84.56 111.91 0.0134356167 0.0298566353 0.0199186752 0.0419601838 0.0219913212 0.005783111 0.1488234073 0.25
94.83 107.22 90.51 97.22 85.34 112.97 0.0156125209 0.0024763921 0.0095337147 0.0073486185 0.0092388115 0.0094584229 0.1733215275 0.3
93.10 107.86 91.12 96.43 83.55 112.42 -0.0181734317 0.0060191811 0.006753663 -0.0081704114 -0.021014577 -0.0048356203 0.2015876406 0.35
95.77 109.66 91.69 95.86 84.52 112.32 0.0286307838 0.0166022405 0.0062535532 -0.0058840836 0.0115966441 -0.0008834758
96.01 109.47 92.38 94.95 84.96 115.44 0.0025354919 -0.0016975614 0.0075141243 -0.0094702575 0.0052195075 0.0277593558 0.1193518987 0.1291381196
96.28 110.46 94.43 94.44 85.95 113.27 0.002791854 0.0090110315 0.0222620984 -0.0053779504 0.0117121135 -0.0188360374
97.55 111.23 95.99 100.14 88.34 114.19 0.0132229115 0.0070330118 0.0165112452 0.060378492 0.0277710723 0.0081425574
99.80 113.39 97.08 101.73 87.60 114.74 0.0230720953 0.0194061 0.011332362 0.0158640227 -0.0083737554 0.0047839458
99.98 112.45 95.26 100.51 87.10 118.25 0.0017600351 -0.0082934281 -0.0187289899 -0.0119910764 -0.005746357 0.0305951461
99.45 112.19 94.64 99.52 85.46 117.72 -0.0053142962 -0.0023038184 -0.0065252855 -0.0098786339 -0.0187887765 -0.0044398313
99.98 116.18 96.78 104.09 87.40 120.27 0.0052941922 0.0355109297 0.022605364 0.0458950969 0.0226848089 0.0216472914
101.57 115.31 98.15 104.20 91.48 125.88 0.0159982509 -0.0074681526 0.0141840176 0.0010902153 0.0467063025 0.046647987
102.07 114.20 98.04 102.24 90.81 125.82 0.0048663718 -0.0096255899 -0.0011610724 -0.0187857337 -0.0073663554 -0.0004790541
101.62 113.74 95.42 101.53 90.45 126.13 -0.0043995054 -0.0039797598 -0.0266828701 -0.006936737 -0.0039141665 0.0024809978
104.11 110.53 97.43 76.20 91.04 126.97 0.0245206007 -0.0282730736 0.0210629173 -0.2495110366 0.0064827559 0.0066652417
103.94 109.88 95.68 73.56 89.91 125.43 -0.0016953429 -0.0058788082 -0.0179701207 -0.0346239762 -0.0123469024 -0.012113559
105.89 111.16 97.30 76.65 90.76 123.06 0.0188379811 0.011643048 0.0169454821 0.0420362514 0.0094010234 -0.0189191482
103.62 112.03 95.99 78.13 89.37 120.87 -0.0214935294 0.0078387524 -0.0134689097 0.0192450037 -0.015277267 -0.0177677851
103.36 111.26 97.49 76.26 90.63 121.32 -0.0024985806 -0.0068266015 0.0156494523 -0.0239651416 0.0141112345 0.003668314
104.05 110.36 95.91 74.35 89.40 122.75 0.0067291025 -0.0081014438 -0.0162053026 -0.0249255952 -0.0136361827 0.0117717233
101.17 109.07 93.36 73.25 87.49 121.30 -0.027748583 -0.0117389831 -0.0266256211 -0.0148798169 -0.0213526005 -0.0118139363
102.96 111.03 97.03 75.89 89.84 122.98 0.0177654724 0.0180158386 0.0392831382 0.0360185902 0.0269328329 0.0138502211
105.15 112.44 97.76 82.27 90.84 122.67 0.0212162967 0.0126949574 0.007527628 0.0841121495 0.0111251682 -0.0024922118
106.22 114.25 98.99 84.48 92.38 120.34 0.0101560116 0.0161222835 0.012611276 0.0268965517 0.0169212131 -0.0189464918
106.96 114.57 99.03 85.56 94.07 120.37 0.006996773 0.0027327517 0.000418629 0.0127602418 0.0183192391 0.0002358046
108.08 116.33 99.63 88.17 94.09 116.76 0.0105003811 0.0154014243 0.0060675803 0.0305039788 0.000201377 -0.0299754821
109.20 116.59 98.91 87.43 95.19 117.73 0.0103212751 0.0022283486 -0.0072787772 -0.0083655084 0.0116487541 0.0082631573
110.42 116.85 102.11 90.35 97.24 115.58 0.0112347542 0.0022076844 0.0323661883 0.0334198572 0.0215318713 -0.0182710038
110.10 118.52 101.86 90.70 96.80 118.44 -0.0029551372 0.0142834827 -0.0023843344 0.0037676609 -0.004508767 0.0247615306
111.54 119.82 101.89 91.04 97.49 119.91 0.0131096522 0.0110018011 0.0002034071 0.0037535189 0.0071758742 0.0124230299
113.04 121.79 102.80 95.49 96.45 118.45 0.0134221463 0.0164302942 0.0089989323 0.0489248987 -0.0107518922 -0.0121936789
115.05 123.56 102.17 95.89 96.78 118.16 0.0177702721 0.0145220248 -0.0061473345 0.0041592395 0.0034607902 -0.0024197268
116.30 124.38 101.83 96.43 95.70 118.52 0.0108531242 0.0066919232 -0.0032954776 0.0056213018 -0.0111388677 0.0030500069
117.78 122.65 101.99 94.78 96.21 115.43 0.0127306566 -0.0139778437 0.0015260186 -0.0170638423 0.0053258175 -0.0261335408
117.97 123.86 102.50 94.04 95.03 112.29 0.0016645272 0.0099111827 0.0049773985 -0.0077821012 -0.0123110678 -0.0271667312
119.79 123.93 102.72 93.65 95.00 111.36 0.0153961471 0.0005423613 0.002173144 -0.0042232278 -0.0002468222 -0.0083207501
121.11 125.37 104.90 95.15 96.16 111.96 0.0110568016 0.0116654272 0.0212304589 0.0160557407 0.0121637405 0.0054344364
121.04 125.86 105.54 95.63 94.02 112.98 -0.0005922 0.0038706358 0.0060737741 0.0050685748 -0.0222338968 0.0091436175
117.55 123.93 104.33 95.80 91.61 114.35 -0.0288458749 -0.0153671018 -0.0114852263 0.0017798873 -0.0256850629 0.0120559093
117.53 123.58 104.23 96.26 93.36 113.44 -0.0001535585 -0.002793562 -0.0009433962 0.0047379331 0.0191339971 -0.0079291218
115.76 124.26 101.89 91.74 90.94 110.30 -0.0150440769 0.0054772186 -0.0224640922 -0.0468611848 -0.0258672335 -0.0277173233
118.66 128.28 103.82 95.09 91.98 109.94 0.0250137157 0.0323999559 0.0189638517 0.0364873222 0.0113874203 -0.0032032315
116.73 130.07 101.25 93.11 91.22 100.27 -0.0162664569 0.0139280523 -0.0247480291 -0.0208830549 -0.0082776748 -0.0879525069
120.65 130.09 105.06 94.24 92.23 104.08 0.0335764923 0.0001577915 0.0376547631 0.0121876904 0.0110663884 0.0379581152
121.42 131.65 106.92 94.52 94.02 105.15 0.0064125449 0.0119903614 0.0176511192 0.0030102348 0.0194647678 0.0102927644
123.44 134.11 108.36 96.31 94.79 101.92 0.0165817419 0.0186943443 0.0135174419 0.018907563 0.0081361656 -0.0307661168
123.14 135.15 109.63 98.33 94.34 97.86 -0.0023786665 0.0077727981 0.0117596443 0.0209131075 -0.0047395169 -0.0398106575
118.46 130.06 107.78 97.79 92.62 98.45 -0.038006032 -0.0376728666 -0.0169147177 -0.0054818234 -0.018245104 0.0060462823
117.34 128.68 106.95 99.97 91.01 100.18 -0.0095103078 -0.0105868424 -0.0077377806 0.0223382652 -0.0173374372 0.0176046696
112.85 125.28 105.02 98.44 88.46 100.10 -0.0382213475 -0.0264498207 -0.0179695825 -0.015323496 -0.027991436 -0.0008072911
114.14 123.50 103.54 96.91 86.03 97.91 0.0114092859 -0.0142016136 -0.0141553637 -0.0155619597 -0.02749225 -0.0219066046
112.88 122.52 99.66 93.82 81.24 91.86 -0.0110516412 -0.0079746297 -0.0374224535 -0.0319086651 -0.0557209966 -0.0617862733
114.61 126.28 101.35 94.38 84.83 85.40 0.0153752746 0.0307427781 0.0169438669 0.0060477774 0.0441846004 -0.0703732594
115.55 128.67 102.48 97.73 82.78 87.99 0.0082121088 0.0188855924 0.0111417766 0.035467388 -0.0241936341 0.0303317299
118.71 126.90 105.19 98.04 85.28 90.36 0.0272913081 -0.0137294308 0.0263849575 0.0031930334 0.0302752893 0.0270037091
118.66 127.37 106.49 99.09 85.74 91.51 -0.0003603824 0.0036879881 0.0124101251 0.0107060185 0.0054053482 0.0127268017
120.33 129.17 106.24 99.66 86.74 94.26 0.014065183 0.0141533436 -0.0023835003 0.0057257372 0.0116363483 0.0300100783
122.12 127.96 108.08 106.24 86.18 91.45 0.0148308164 -0.0093999446 0.017358233 0.0660404213 -0.0064272566 -0.0298281663
120.73 130.36 108.58 107.77 85.82 93.08 -0.0113748126 0.0187535154 0.0046010065 0.0144192256 -0.0041660125 0.0178901147
122.19 128.36 108.82 106.21 86.43 96.73 0.0121281828 -0.015355528 0.0022422594 -0.0144774941 0.0070845202 0.0391527697
123.09 128.88 108.13 109.13 84.14 97.57 0.0073357155 0.0040757763 -0.0063785225 0.0275106838 -0.0264583399 0.0086767737
123.59 128.49 105.45 106.41 83.85 99.05 0.004075658 -0.0029983107 -0.0247197471 -0.02495451 -0.0034521206 0.0151828045
124.28 128.27 108.64 109.96 86.22 96.98 0.0056011195 -0.0017057769 0.0302092543 0.0333244468 0.0281752265 -0.0209151076
126.26 130.17 110.54 112.51 89.02 93.24 0.0159149534 0.0147507118 0.0174510084 0.0232198142 0.0325510343 -0.038502619
127.67 132.06 111.65 114.38 91.40 96.38 0.0111458665 0.0145428851 0.0100754487 0.0166414523 0.0266811236 0.0336911945
128.43 131.92 110.95 114.13 90.20 93.96 0.0059865207 -0.0010628809 -0.0062633386 -0.0022321429 -0.0131172459 -0.0250999212
126.05 132.48 109.95 114.21 90.92 93.38 -0.0185766103 0.0042531807 -0.0090106914 0.0007457122 0.0080409649 -0.0061760553
126.61 132.47 110.62 112.60 92.30 91.26 0.004446376 -0.0000934316 0.0061245642 -0.0141579732 0.0151698548 -0.022707762
128.80 134.30 113.05 114.47 94.00 93.59 0.0173262549 0.0138136594 0.0219610414 0.0166288738 0.0184224157 0.0254664179
130.37 134.47 113.59 117.36 92.67 95.08 0.0121920873 0.0012537837 0.0047193585 0.0252788104 -0.0141930407 0.0159950271
130.98 134.46 113.87 116.23 92.72 93.31 0.0046270949 -0.0000109051 0.0025082087 -0.0096688422 0.0005840723 -0.0187053258
131.47 135.02 114.29 118.07 89.79 92.89 0.0037971923 0.0041585579 0.0036846654 0.0158652673 -0.0316868865 -0.0044632334
131.53 136.76 114.43 123.35 90.68 91.02 0.0004597955 0.0128874785 0.0011783901 0.0446900529 0.0099166081 -0.020147863
129.97 134.47 114.36 125.05 91.04 88.19 -0.0118602344 -0.0167497416 -0.0005432322 0.013799448 0.0039794264 -0.0311160304
129.60 134.16 115.20 125.93 91.86 88.35 -0.0028549316 -0.002360318 0.0073376212 0.0070326679 0.0090272204 0.001874467
126.34 130.73 112.04 125.42 90.41 87.27 -0.0251935362 -0.0255504982 -0.0274280576 -0.0040549673 -0.0157913344 -0.0122455535
124.21 129.00 109.72 123.29 89.35 86.83 -0.0168598937 -0.0131811592 -0.0207119741 -0.0169644877 -0.0116942726 -0.0049833347
128.27 131.09 113.57 120.85 89.15 84.81 0.0327272314 0.0161975691 0.0350769521 -0.0197883111 -0.0022413375 -0.023317565
129.94 132.24 115.93 123.32 89.99 85.98 0.0129982724 0.0087811582 0.0207525656 0.0204225352 0.009410479 0.0137523736
130.57 132.86 115.82 122.47 88.36 87.45 0.0048907084 0.0046647461 -0.000893655 -0.0069013112 -0.0181141986 0.0171057952
129.65 134.53 116.81 124.20 87.52 87.51 -0.0070491679 0.0125219809 0.0084973166 0.014130183 -0.0095355746 0.0006895992
129.50 135.13 118.84 125.45 87.71 88.17 -0.0012082943 0.0045283838 0.0174279379 0.0100502513 0.0021852291 0.007580364
127.91 132.66 114.94 121.90 85.69 89.39 -0.0122387824 -0.0183218833 -0.0328204681 -0.0282677521 -0.0230080122 0.0138558095
126.67 132.09 114.19 121.19 84.48 88.36 -0.0097175659 -0.0042754242 -0.0065795403 -0.0058180126 -0.0140751658 -0.0114918811
126.18 131.04 115.13 114.27 84.55 89.40 -0.0039023522 -0.0079793999 0.008210851 -0.0571161049 0.000822184 0.0117298521
130.83 135.82 117.93 121.25 86.36 93.01 0.0369014222 0.0364948599 0.0243869516 0.0610724926 0.0213485544 0.0403364679
133.19 138.95 118.91 126.33 86.54 93.68 0.0180210152 0.0230331786 0.008301489 0.0418811418 0.0020369577 0.0072312316
132.97 137.13 119.38 124.00 87.18 94.38 -0.0016509697 -0.0130648702 0.0039205436 -0.018414552 0.0074640869 0.0074746679
134.87 139.11 117.67 129.79 87.21 95.66 0.014276882 0.0143826624 -0.0142757962 0.0466712423 0.000310424 0.0135154435
131.60 136.73 113.82 128.26 84.59 97.24 -0.0242291687 -0.0171097657 -0.0327948233 -0.0118032787 -0.0300293777 0.0165540566
131.92 136.83 115.84 128.57 85.25 95.15 0.0024548018 0.0007778967 0.0177953759 0.00243309 0.0077530954 -0.0214791738
132.67 133.81 117.87 119.46 88.85 91.96 0.0056304856 -0.0220726094 0.0174842374 -0.0708296558 0.0422769218 -0.0335150128
134.06 135.47 119.74 122.18 90.39 91.57 0.0105319458 0.0124126444 0.0158653424 0.0227974353 0.0173924521 -0.0042738999
134.21 136.77 116.00 118.35 91.60 93.85 0.001126013 0.0095611376 -0.0311918668 -0.0313443232 0.0133727197 0.0249399551
134.85 137.97 117.32 119.63 91.28 92.00 0.004712261 0.0088058773 0.0113869787 0.0107861937 -0.0035157173 -0.0197597684
136.76 139.23 117.76 118.27 89.61 92.03 0.0141605455 0.0090978911 0.003708773 -0.0113824994 -0.0183027464 0.0003855793
134.95 138.45 119.22 116.99 90.52 91.25 -0.0131884969 -0.0056036626 0.0124488629 -0.0107939554 0.010107213 -0.0085103103
135.26 139.63 119.45 117.84 90.84 91.57 0.0022579389 0.0085458965 0.0019117136 0.0072744908 0.0035479724 0.0035452998
136.28 140.41 119.74 119.94 93.09 91.83 0.0075278552 0.0055534206 0.0024284475 0.017814155 0.0248274492 0.0028045275
136.62 141.29 120.64 121.84 94.08 91.67 0.0025511898 0.0063015058 0.0074839938 0.015846736 0.01063036 -0.0017537218
136.64 141.00 121.49 122.44 92.71 88.92 0.0001371344 -0.0020807407 0.0070848899 0.0048894063 -0.0146032294 -0.0300049531
135.94 143.22 122.56 125.99 94.26 88.85 -0.0051380439 0.0157719253 0.00878315 0.0289620019 0.0167754868 -0.0007819045
134.50 142.78 122.48 127.21 94.64 90.33 -0.0106212331 -0.0030511514 -0.0006339814 0.0096825039 0.004028978 0.01662448
134.85 143.83 122.81 126.47 94.17 92.92 0.0026685658 0.0073358172 0.0026644111 -0.0057983943 -0.0050326934 0.0287624
135.83 147.66 120.78 128.23 94.38 93.42 0.0071963248 0.026612868 -0.0165345031 0.0139075819 0.0022225203 0.0053290172
137.82 147.95 122.78 134.30 95.84 93.72 0.0147174249 0.0019863283 0.0165980443 0.0473451327 0.0155040242 0.0032275458
136.87 149.17 118.91 130.75 95.50 94.84 -0.0069110297 0.0082607396 -0.0315149981 -0.0264047317 -0.0035109187 0.0119299945
137.99 151.05 119.95 133.13 95.92 92.97 0.0082019321 0.0125984397 0.0087558808 0.0182252115 0.0043356287 -0.0197336924
139.29 152.04 120.83 132.77 97.31 91.93 0.0093715738 0.00655283 0.0073411927 -0.0027700831 0.0145119726 -0.0111948841
138.61 149.11 117.28 125.84 95.63 91.16 -0.0048518536 -0.0192781313 -0.0294079822 -0.0521367521 -0.0172060555 -0.0083735288
135.59 146.86 114.89 124.82 94.32 93.55 -0.0217881122 -0.0150706605 -0.0203612915 -0.0081154193 -0.0137907615 0.0262822009
138.92 152.57 116.63 128.14 96.93 93.19 0.0245721359 0.0388208857 0.015103697 0.0265909091 0.0277376591 -0.0039054502
141.35 155.96 119.07 131.09 97.70 90.88 0.0174788903 0.02223599 0.0209193871 0.0230241311 0.0079664219 -0.024735063
141.40 154.45 121.03 130.89 98.14 91.17 0.0003182408 -0.0096921999 0.0164882972 -0.0015148236 0.0044410795 0.0031615185
141.18 154.77 123.01 131.49 98.95 89.81 -0.0015319172 0.0020984674 0.0163492403 0.0045513654 0.0082270103 -0.0148628879
139.74 152.56 121.74 132.48 95.76 87.77 -0.0102030299 -0.0142796468 -0.0103592033 0.0075512406 -0.0321836565 -0.0227254775
137.29 150.58 123.27 137.28 95.07 86.70 -0.0175398669 -0.0129914918 0.0125952087 0.0361884368 -0.0071688977 -0.0121887149
134.30 148.65 121.20 133.25 92.37 86.68 -0.0217438827 -0.0128264763 -0.0167668193 -0.029344906 -0.028474647 -0.0002372906
134.44 149.81 118.75 134.81 89.96 85.61 0.0009888324 0.0078390019 -0.020215403 0.0117096019 -0.0260179117 -0.0123256728
131.16 146.91 113.77 123.49 89.30 86.72 -0.0243854399 -0.0193642619 -0.0419193021 -0.0839646465 -0.0074202573 0.0129021031
133.27 146.96 112.64 123.15 88.11 87.77 0.0160948975 0.0003217395 -0.0099253324 -0.0027567195 -0.0132441634 0.0121405489
136.82 151.59 115.66 130.50 88.80 87.33 0.0266568094 0.0314908383 0.0268095282 0.059663672 0.0078013023 -0.0050356049
139.72 156.10 118.97 132.37 91.66 83.32 0.021163073 0.0297783209 0.0285727081 0.0143478261 0.0321928524 -0.0459072594
140.80 157.42 118.37 134.64 89.10 81.27 0.0077821895 0.0084299217 -0.005050725 0.0171453065 -0.0279705138 -0.0246157776
138.73 157.65 118.55 135.89 89.38 81.90 -0.0147019345 0.0015053015 0.0015316616 0.009270965 0.003199514 0.0077430731
134.94 155.15 121.95 137.59 90.60 84.74 -0.0273519528 -0.0159039345 0.0287075068 0.012526096 0.0136655867 0.0346757218
135.17 157.30 122.72 137.19 90.64 83.90 0.001711905 0.0139069618 0.0062863696 -0.0028865979 0.0003683975 -0.0099209671
135.77 159.62 124.00 135.32 88.92 85.41 0.0044530373 0.0147356928 0.0104681103 -0.0136476427 -0.0189505534 0.0180282262
132.83 159.74 116.77 130.92 84.65 86.93 -0.0216976408 0.0007567269 -0.0583566565 -0.0324947589 -0.0479567405 0.0178418653
135.86 162.24 120.41 135.86 85.21 84.96 0.0228531843 0.0156527559 0.0311862301 0.0377031419 0.0065962639 -0.0227111369
137.31 164.90 121.55 137.16 85.93 84.96 0.0106292463 0.0163730629 0.009507421 0.0096053456 0.0083950879 0.0000417516
138.59 163.86 120.65 135.29 86.04 83.91 0.0093513438 -0.0062975559 -0.0074575982 -0.0136504654 0.0012493045 -0.012408046
139.35 170.71 119.39 147.43 86.73 86.00 0.0054526035 0.0418228138 -0.0104332145 0.089746278 0.0080212222 0.0249080533
135.11 169.72 124.35 153.36 86.37 89.26 -0.030417462 -0.0058007154 0.041522041 0.0402155089 -0.0040671126 0.0379472204
140.27 175.83 130.70 153.82 89.39 91.86 0.0382287423 0.0359935994 0.0510726932 0.0029596744 0.0349152967 0.0290889438
142.48 176.27 129.46 152.68 86.75 89.77 0.0157222077 0.0024594497 -0.0094328406 -0.0073773515 -0.0295491931 -0.0227909886
148.39 183.88 131.55 158.95 88.28 89.74 0.0414884679 0.0431986383 0.0161245149 0.0410628019 0.0176370878 -0.0002370979
149.95 186.03 132.70 162.27 89.01 86.91 0.0105521823 0.0117073356 0.0087415341 0.0208816705 0.0082569464 -0.0316047431
150.48 182.83 134.63 164.62 88.80 85.42 0.0035362541 -0.0171937085 0.0145210399 0.0145104895 -0.0022601733 -0.0171833929
152.29 182.98 138.01 159.18 89.33 85.58 0.012005509 0.0007996581 0.0251250481 -0.0330863347 0.0059527437 0.0019767934
151.85 184.38 138.73 157.30 87.62 84.89 -0.0028999352 0.007636884 0.0051795969 -0.0117626092 -0.0192369835 -0.0080656526
150.01 182.84 139.59 160.96 84.76 82.11 -0.0121088357 -0.0083432225 0.0062357642 0.023264202 -0.0326081361 -0.0328257926
154.32 187.80 142.10 169.33 87.46 83.26 0.0287250054 0.0271261946 0.0179605166 0.0519915404 0.0318979097 0.0140062557
152.93 185.04 139.16 169.02 86.43 85.10 -0.0090195817 -0.0146862538 -0.0207057451 -0.0018428547 -0.0117789032 0.0221294363
152.39 185.56 140.21 174.50 89.70 85.24 -0.0035303355 0.0028076493 0.0075565813 0.0323934206 0.0377931553 0.0016506603
154.20 187.03 145.33 171.91 93.33 85.40 0.011891627 0.0079076334 0.0365020135 -0.0147943424 0.0405000402 0.0018227216
151.88 183.87 141.98 172.74 94.06 85.48 -0.0150760707 -0.0169049375 -0.0230261985 0.0047854785 0.0078195227 0.0010467811
153.31 186.67 143.70 177.99 95.67 84.52 0.0094419567 0.0152271535 0.012149294 0.0303826573 0.0170905743 -0.0112867754
150.24 183.65 138.68 176.88 94.36 83.85 -0.0200379785 -0.0161456844 -0.034965035 -0.0062161301 -0.0136822254 -0.0079153901
145.84 182.41 140.10 176.17 93.36 84.14 -0.0292543214 -0.006741823 0.0102345734 -0.0040096231 -0.0105641545 0.0035027751
149.02 184.86 138.72 177.25 94.13 86.18 0.0217694752 0.0134043558 -0.0098350958 0.0061191626 0.0081743869 0.0242314891
147.26 185.96 142.71 179.91 93.60 86.03 -0.0118094144 0.0059355996 0.0287528006 0.0150448143 -0.0055395821 -0.0018109977
150.20 186.78 139.95 176.03 90.59 84.32 0.0200105938 0.0044509409 -0.0193466425 -0.0216020183 -0.032189048 -0.0198004288
142.97 180.50 136.17 175.32 88.60 83.31 -0.0481962171 -0.0336250193 -0.0270200244 -0.0040290089 -0.021987214 -0.0120731287
144.21 181.41 136.22 175.57 88.36 83.70 0.0087083708 0.0050402432 0.0003804162 0.0014563107 -0.0027287352 0.004760526
145.56 182.21 134.78 175.52 87.92 85.14 0.0093346371 0.0043911429 -0.0105335209 -0.000323154 -0.0050027566 0.0171211107
144.50 184.26 138.76 180.85 88.46 83.28 -0.0072565778 0.0112474791 0.0294773251 0.0303862938 0.0062284518 -0.0218411206
144.30 182.70 133.98 175.94 86.99 82.88 -0.0013601009 -0.0084505413 -0.0344570127 -0.0271372549 -0.0166423626 -0.0047281525
143.10 183.75 136.04 180.96 84.15 82.49 -0.0083350379 0.0057629375 0.0154268481 0.0285391809 -0.0326243635 -0.0047934125
147.74 189.32 141.90 187.29 84.95 81.15 0.0324233058 0.0302832562 0.0430643872 0.0349584574 0.0094656161 -0.0161266739
145.03 187.09 138.07 189.76 82.13 76.64 -0.0183424025 -0.0117604931 -0.0269767102 0.0131778249 -0.0332172288 -0.0556594867
148.50 193.22 138.56 193.36 81.34 76.71 0.0239052985 0.032735126 0.0035265429 0.0189863956 -0.0095782074 0.0009442259
142.65 189.00 138.72 187.86 79.84 77.34 -0.0393717218 -0.0218377037 0.0011589218 -0.0284624413 -0.0184211694 0.0082680552
139.78 187.49 135.08 181.79 77.93 79.39 -0.0201529076 -0.0079779536 -0.0262135922 -0.0323165207 -0.0239981018 0.0263894112
136.51 182.02 126.34 174.04 73.29 81.96 -0.023348484 -0.0291611123 -0.0647288903 -0.0426029963 -0.0595603302 0.0324491948
138.38 183.65 127.25 176.34 74.00 80.03 0.01367577 0.0089204229 0.0071750718 0.013202934 0.0096875846 -0.0235525279
132.73 177.25 123.57 166.41 71.14 79.70 -0.0408522335 -0.0348254704 -0.0289029106 -0.0563063063 -0.0385979884 -0.0041131835
134.11 179.51 124.29 173.11 72.39 78.53 0.0104010357 0.0127461986 0.0058268707 0.0402318445 0.0176263965 -0.0146692302
136.78 179.81 124.02 170.55 74.86 80.68 0.01990581 0.0016417387 -0.0021672085 -0.0147492625 0.034106344 0.0273541953
133.41 181.44 122.18 173.96 71.19 81.22 -0.0246300639 0.0090997105 -0.0148692674 0.0199600798 -0.0490564674 0.0066916394
133.69 180.73 121.99 166.16 72.54 78.54 0.0021304382 -0.0039010619 -0.0014839311 -0.0448467058 0.0189444339 -0.0330348954
139.72 182.68 126.98 170.21 77.52 81.90 0.0451135481 0.0107825491 0.0408475224 0.0244152296 0.0686730506 0.0427901683
139.42 184.17 127.20 170.72 78.06 83.67 -0.0021663692 0.0081435648 0.0017541713 0.003 0.0069357166 0.0216476091
141.63 187.99 131.82 175.32 78.35 83.08 0.0158296443 0.020737409 0.0363251344 0.0269192423 0.0037906805 -0.0070629732
138.68 192.93 131.40 190.07 76.48 81.47 -0.0208045713 0.0262926086 -0.0031829613 0.0841423948 -0.023855577 -0.0193243728
138.58 193.08 132.91 192.31 76.90 78.60 -0.0007232732 0.0007790607 0.0115110183 0.0117910448 0.005460936 -0.0353264892
134.61 185.68 129.43 187.83 74.07 76.91 -0.0286870898 -0.0383573438 -0.0262286137 -0.0233072725 -0.0367754877 -0.021419674
140.09 192.84 133.63 196.71 76.09 77.05 0.0407370804 0.0385959444 0.0324581766 0.0472738257 0.027231099 0.0017710053
138.69 192.34 134.28 200.31 74.55 75.58 -0.0100032706 -0.0026014657 0.0048455247 0.0183155466 -0.0202968654 -0.0190783113
137.34 192.39 129.82 203.89 73.28 75.36 -0.0096972317 0.000241391 -0.0332150297 0.0178444979 -0.0170506801 -0.00292867
134.09 190.81 124.68 195.18 69.78 75.53 -0.0237086942 -0.0082140071 -0.0395834165 -0.042716015 -0.0476565674 0.0022876832
136.15 196.27 126.55 202.89 71.24 74.96 0.0153683404 0.0286281247 0.0150400931 0.0395348837 0.0208775014 -0.0075988127
138.85 197.50 128.23 205.25 72.56 76.33 0.0198188169 0.0062827568 0.0132618395 0.0116051454 0.0184624736 0.0182953954
141.49 198.17 128.07 204.62 71.65 75.30 0.0190321339 0.0033628108 -0.0012522723 -0.003040774 -0.0125327929 -0.0134401606
133.34 192.05 119.57 194.33 66.76 77.89 -0.0575847692 -0.0308474255 -0.0663727552 -0.0503258006 -0.0681683686 0.0344161595
130.72 190.36 115.63 191.35 63.98 76.69 -0.0196258189 -0.0088013903 -0.0329679851 -0.0153284672 -0.0417257827 -0.0154560772
131.34 193.19 118.61 190.04 64.11 77.88 0.0047319367 0.0148711985 0.0258041394 -0.0068198666 0.0020727873 0.0154581953
133.74 197.23 119.85 195.29 66.97 78.95 0.0182331831 0.0208834749 0.0104812647 0.0276160621 0.0446204936 0.0137926008
132.95 196.38 114.00 185.22 66.72 82.23 -0.0058632525 -0.0043219503 -0.0488374103 -0.0515688553 -0.0037178226 0.0415696917
127.43 195.92 109.19 190.81 64.16 88.12 -0.0415543893 -0.0023138625 -0.0421664849 0.030173074 -0.0383580536 0.0716682915
132.87 203.04 114.14 202.98 66.84 86.72 0.0426949379 0.0363288548 0.0453036053 0.0637823372 0.0418142962 -0.015980228
131.19 204.66 115.68 205.56 66.76 87.46 -0.0126282344 0.007983686 0.0134785568 0.0127183788 -0.0012955815 0.0086230171
135.55 205.05 118.87 200.99 69.38 87.92 0.0332241934 0.0019153587 0.0275389575 -0.0222191554 0.0392962352 0.0051993349

Comparsion of MVS of 5 Risky Asset Portfolios with and without Gold

5 Risky Assets + Gold G 9.7577927960604313E-2 9.9201799578467947E-2 5 Risky Assets MVS G

5 Risky Assets G

0.11935189872297838 0.12913811955552174 Assets

AE

ARE

EE

USE

EME

Gold

0.14401241285630997 0.12 434568709907047 0.17083133516048393 0.24844454842723893 0.18579836501419383 0.17145033711293822 7.1300550891277209E-2 0.15152856487942587 4.9227205413489038E-2 0.17177108855066384 -5.5774476564087898E-2 -1.1052354668283257E-2 5 Risky Assets + Gold MVS

5 Risky Assets + Gold G

0.17027178378430977 0.14298484907423784 0.1197926420342086 0.10348579463600627 9.7579531179288345E-2 0.10386358029496486 0.12044477736577092 0.1438047684130104 0.17118941299686416 0.20096115219255409 -0.1 -0.05 0 0.05 0.1 0.15000000000000002 0.2 0.25 0.3 0.35 5 Risky Assets MVS 0.20652510219065712 0.17778527834580712 0.15253810651964528 0.13279089177147946 0.12126107325939828 0.12033434578340051 0.13023724781350929 0.14882340728781848 0.17332152747112498 0.20158764063503645 -0.1 -0.05 0 0.05 0.1 0.15000000000000002 0.2 0.25 0.3 0.35

Standard Deviation (σ)

Mean (µ)

Q3

Mu 0.0713005509 0.1515285649 0.0492272054 0.1717710886 -0.0557744766 -0.0110523547 0.01 Sigma Mu
Var 0.0207395751 0.0154618499 0.0291833451 0.0617246936 0.0345210324 0.0293952181 0 0.1440124129 0.0713005509
Sigma 0.1440124129 0.1243456871 0.1708313352 0.2484445484 0.185798365 0.1714503371 0 0.1243456871 0.1515285649
0.1708313352 0.0492272054
0.2484445484 0.1717710886
Omega 0.0207837464 0.012679203 0.0163833452 0.0136548312 0.0187651572 0.0020279888 0.185798365 -0.0557744766
0.012679203 0.0154023812 0.0124178559 0.0190321818 0.0130347687 0.000396705 0.1714503371 -0.0110523547
0.0163833452 0.0124178559 0.0290711014 0.0208126963 0.0234097768 -0.0004008089 0 0.01
0.0136548312 0.0190321818 0.0208126963 0.061487291 0.0175016649 -0.0011623517
0.0187651572 0.0130347687 0.0234097768 0.0175016649 0.0343882592 0.0058874691
0.0020279888 0.000396705 -0.0004008089 -0.0011623517 0.0058874691 0.0292821596
1
Inv Omega 141.8198375898 -81.7277790087 -25.8761849497 12.4561217137 -34.8667487121 -1.5642059275 0 Ones 1
-81.7277790087 183.106614993 -1.365403574 -36.3358217401 -5.8827587147 2.9012887325 0 1
-25.8761849497 -1.365403574 96.4537754632 -13.0365195554 -46.4339794381 11.9493718132 0 1
12.4561217137 -36.3358217401 -13.0365195554 28.8501058639 1.1032852214 0.3745278676 0 1
-34.8667487121 -5.8827587147 -46.4339794381 1.1032852214 83.9481444438 -14.975936525 0 1
-1.5642059275 2.9012887325 11.9493718132 0.3745278676 -14.975936525 37.4090014159 0 1
0 0 0 0 0 0 0
Solver Inputs Solver Outputs Requested G
0.0000197188 1.6617274834 0.2969370953 -0.0366838385 -1.036754811 0.1117646165 0.0029897919 Mu 0.3167358399 Mu 0.15 Mu 0.0099991718
0.0000197188 0.0207837464 0.012679203 0.0163833452 0.0136548312 0.0187651572 0.0020279888 Sigma 0.1809907567 Sigma 0.0825871629 Sigma 0.0000013487
1.6617274834 0.012679203 0.0154023812 0.0124178559 0.0190321818 0.0130347687 0.000396705 1 0.0000197188 1 0.0192603162 1 0.0000118338
0.2969370953 0.0163833452 0.0124178559 0.0290711014 0.0208126963 0.0234097768 -0.0004008089 2 1.6617274834 2 0.7473976228 2 -0.0000136116
-0.0366838385 0.0136548312 0.0190321818 0.0208126963 0.061487291 0.0175016649 -0.0011623517 3 0.2969370953 3 0.1321147251 3 -0.0000070516
-1.036754811 0.0187651572 0.0130347687 0.0234097768 0.0175016649 0.0343882592 0.0058874691 4 -0.0366838385 4 -0.0154392104 4 0.0000046745
0.1117646165 0.0020279888 0.000396705 -0.0004008089 -0.0011623517 0.0058874691 0.0292821596 5 -1.036754811 5 -0.4777712009 5 0.0000015099
0.0029897919 6 0.1117646165 6 0.0507689296 6 0.0000003693
1.0000000564 0.0000001224 0.0251160758 0.0012439346 -0.0006337572 0.0072825558 -0.0002512773 0 R 0.0029897919 R 0.543668821 R 1.0000023063
Req G
Mu -0.1 -0.05 0 0.05 0.1 0.15 0.2 0.25 0.3 0.35 0.0099991718 Risk Reduction
Sigma 0.0648896215 0.0353943388 0.0058990564 0.0235962263 0.0530915088 0.0825871629 0.1120820736 0.1415773561 0.1710726385 0.2005679212 0.0000013487 With RF 0.0825871629
1 -0.0173426879 -0.0094593445 -0.0015763819 0.0063068668 0.0141905234 0.0192603162 0.0299564328 0.0378417757 0.0457255133 0.053609539 0.0000118338 Without RF 0.1038635803
2 -0.5856311415 -0.3194349098 -0.0532393882 0.2129558999 0.4791508493 0.7473976228 1.0115412715 1.2777346963 1.5439294467 1.8101240372 -0.0000136116 RED 0.0212764174
3 -0.1032672939 -0.0563283689 -0.0093879534 0.0375524858 0.0844930092 0.1321147251 0.1783744296 0.2253151942 0.2722558153 0.3191963547 -0.0000070516
4 0.0116259494 0.0063415226 0.0010569502 -0.0042275428 -0.0095119874 -0.0154392104 -0.0200809366 -0.025365107 -0.0306495542 -0.0359337106 0.0000046745
5 0.3758683463 0.2050196787 0.034169737 -0.1366802439 -0.3075303684 -0.4777712009 -0.6492308195 -0.8200819139 -0.9909323749 -1.1617823163 0.0000015099
6 -0.0398691726 -0.0217467034 -0.0036244462 0.0144978173 0.0326199927 0.0507689296 0.0688646498 0.086987069 0.1051093547 0.1232318453 0.0000003693
R 1.3586160002 1.1956081237 1.0326014846 0.8695947175 0.706587985 0.543668821 0.3805749713 0.2175682866 0.0545618043 -0.1084457476 1.0000023063
RF Sigma Mu Gold Sigma Mu Sigma Mu
0.0648896215 -0.1 0.1702717838 -0.1 0.1440124129 0.0713005509 1
0.0353943388 -0.05 0.1429848491 -0.05 0.1243456871 0.1515285649 2
0.0058990564 0 0.119792642 0 0.1708313352 0.0492272054 3
0.0235962263 0.05 0.1034857946 0.05 0.2484445484 0.1717710886 4
0.0530915088 0.1 0.0975795312 0.1 0.185798365 -0.0557744766 5
0.0825871629 0.15 0.1038635803 0.15 0.1714503371 -0.0110523547 6
0.1120820736 0.2 0.1204447774 0.2 0 0.01 R
0.1415773561 0.25 0.1438047684 0.25
0.1710726385 0.3 0.171189413 0.3
0.2005679212 0.35 0.2009611522 0.35
0.0000013487 0.0099991718 0.097577928 0.0992017996
0.0648896215 -0.1 0.097577928 0.0992017996
0.0353943388 -0.05
A 105.025994176
B 10.4187668019 X_T X_T Calc
C 3.0715294626 0.0000197188 0.1067405954 0.0613005509
Delta 214.0397337822 1.6617274834 0.1415285649
0.2969370953 0.0392272054
Sigma_T Mu_T -0.0366838385 0.1617710886
0.3067358298 2.9673417946 -1.036754811 -0.0657744766
9.3685068601 9.3685068601 0.1117646165 -0.0210523547
0.0327411651 0.3167358298 0.0029897919 0
0.1809451992
0.0648896215 -0.1
0.0353943388 -0.05
0.0000013487 0.0099991718
0.0235962263 0.05
0.0530915088 0.1
0.0825871629 0.15
0.1120820736 0.2
0.1415773561 0.25
0.1710726385 0.3
0.2005679212 0.35

Comparison of MVS of 5 Risky Assets with Gold with and without a Risk Free Asset

5 Risky + Gold 0.17027178378430977 0.14298484907423784 0.1197926420342086 0.10348579463600627 9.7579531179288345E-2 0.10386358029496486 0.12044477736577092 0.1438047684130104 0.17118941299686416 0.20096115219255409 -0.1 -0.05 0 0.05 0.1 0.15000000000000002 0.2 0.25 0.3 0.35 Assets

AE

ARE

EE

USE

EME

Gold

0.14401241285630997 0.12434568709907047 0.17083133516048393 0.24844454842723893 0.18579836501419383 0.17145033711293822 7.1300550891277209E-2 0.15152856487942587 4.9227205413489038E-2 0.17177108855066384 -5.5774476564087898E-2 -1.1052354668283257E-2 5 Risky Assets + Gold + Risk Free 6.4889621508886913E-2 3.5394338782190948E-2 1.3487052605219414E-6 2.3596226298027503E-2 5.309150875151513E-2 8.2587162850771431E-2 0.11208207356681206 0.14157735606004498 0.17107263853706983 0.20056792123264244 -0.1 -0.05 9.999171795084718E-3 0.05 0.1 0.15000000000000002 0.2 0.25 0.3 0.35 5 Risky + Gold G

5 Risky Assets + Gold G

9.7577927960604313E-2 9.9201799578467947E-2 Tangency Portfolio

Tangency Portfolio T

0.18094519915731622 0.31673582983045334

Standard Deviation (σ)

Mean (µ)

Q4

Solver Inputs Solver Outputs G
0 0.8517971353 0 0.1482028649 0 0 Mu 0.1545285649 Mu 0.1545285649
0 0.0207837464 0.012679203 0.0163833452 0.0136548312 0.0187651572 0.0020279888 Std. Dev 0.1316473983 Std. Dev 0.1316473983
0.8517971353 0.012679203 0.0154023812 0.0124178559 0.0190321818 0.0130347687 0.000396705 1 0 1 0
0 0.0163833452 0.0124178559 0.0290711014 0.0208126963 0.0234097768 -0.0004008089 2 0.8517971353 2 0.8517971353
0.1482028649 0.0136548312 0.0190321818 0.0208126963 0.061487291 0.0175016649 -0.0011623517 3 0 3 0
0 0.0187651572 0.0130347687 0.0234097768 0.0175016649 0.0343882592 0.0058874691 4 0.1482028649 4 0.1482028649
0 0.0020279888 0.000396705 -0.0004008089 -0.0011623517 0.0058874691 0.0292821596 5 0 5 0
1.0000000001 0 0.0135779258 0 0.0037531117 0 0 6 0 6 0
G
Mu -0.0557744766 -0.0357744766 -0.0157744766 0.0042255234 0.0242255234 0.0442255234 0.0642255234 0.0842255234 0.1042255234 0.1242255234 0.1442255234 0.1642255234 0.1717710886 0.0831899952 0.1515285649 0.1520285649 0.1525285649 0.1530285649 0.1535285649 0.1540285649 0.1545285649
Std. Dev 0.1854348067 0.1388364315 0.1277412151 0.1189574596 0.1116618965 0.1057306754 0.1014362402 0.0999369771 0.1017849171 0.1077044487 0.1189237991 0.1876993616 0.247966314 0.099932457 0.1241063361 0.1249215142 0.1259200032 0.1270968795 0.1284475073 0.1299659783 0.1316473983
1 0 0 0.0737039333 0.154178947 0.148368223 0.1425586248 0.1234060102 0.0562975241 0 0 0 0 0 0.0597699252 0 0 0 0 0 0 0
2 0 0 0 0.0265472201 0.1268819059 0.2271458082 0.3446462665 0.5235270462 0.6988607086 0.8320649095 0.9550813387 0.3727579411 0 0.5142655258 0.9999998065 0.9752995225 0.9505915358 0.9258910344 0.9011905342 0.8764976126 0.8517971353
3 0 0 0.0916070074 0.1394570607 0.148100495 0.1568735269 0.1506667886 0.091675658 0.0274796732 0 0 0 0 0.0947312956 0 0 0 0 0 0 0
4 0 0 0 0 0 0 0 0 0 0 0 0.627242057 1.0000000153 0 0.0000001935 0.0247004775 0.0494084643 0.0741089658 0.0988094662 0.1235023874 0.1482028649
5 1 0.5527940139 0.3647833405 0.2267711623 0.1452678208 0.0636839301 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
6 0 0.4472060003 0.4699057169 0.4530456112 0.4313815576 0.4097381027 0.3812809349 0.3284997651 0.2736596282 0.1679350908 0.0449186573 0 0 0.3312332533 0 0 0 0 0 0 0
No SS Sigma Mu Sigma Mu Gold Sigma Mu
0.1854348067 -0.0557744766 0.1440124129 0.0713005509 1 0.1702717838 -0.1
0.1388364315 -0.0357744766 x 0.1243456871 0.1515285649 2 0.1429848491 -0.05
0.1277412151 -0.0157744766 0.1708313352 0.0492272054 3 0.119792642 0
0.1189574596 0.0042255234 0.2484445484 0.1717710886 4 0.1034857946 0.05
0.1116618965 0.0242255234 0.185798365 -0.0557744766 5 0.0975795312 0.1
0.1057306754 0.0442255234 0.1714503371 -0.0110523547 6 0.1038635803 0.15
0.1014362402 0.0642255234 0.1204447774 0.2
0.0999369771 0.0842255234 0.1438047684 0.25
0.1017849171 0.1042255234 0.171189413 0.3
0.1077044487 0.1242255234 0.2009611522 0.35
0.1189237991 0.1442255234 0.097577928 0.0992017996
0.1876993616 0.1642255234
0.247966314 0.1717710886 0.097577928 0.0992017996
0.1241063361 0.1515285649
0.099932457 0.0831899952

Comparison of MVS of 5 Risky Asset + Gold with and without Short Selling

5 Risky Assets + Gold with short selling G 9.7577927960604313E-2 9.9201799578467947E-2 Assets

AE

ARE

EE

USE

EME

Gold

0.14401241285630997 0.12434568709907047 0.17083133516048393 0.24844454842723893 0.18579836501419383 0.17145033711293822 7.1300550891277209E-2 0.15152856487942587 4.9227205413489038E-2 0.17177108855066384 -5.57744765640878 98E-2 -1.1052354668283257E-2 5 Risky Assets + Gold with no short selling G

5 Risky Assets + Gold with no short selling G

9.9932457045766754E-2 8.3189995242733905E-2 5 Risky Assets + Gold with short selling

5 Risky Assets + Gold with short selling G

0.17027178378430977 0.14298484907423784 0.1197926420342086 0.10348579463600627 9.7579531179288345E-2 0.10386358029496486 0.12044477736577092 0.1438047684130104 0.17118941299686416 0.20096115219255409 -0.1 -0.05 0 0.05 0.1 0.15000000000000002 0.2 0.25 0.3 0.35 5 Risky Assets + Gold with no short selling 0.18543480674151677 0.13883643154771003 0.12774121513435815 0.11895745956935841 0.11166189653234837 0.10573067540367947 0.10143624023535504 9.9936977122542694E-2 0.10178491705169306 0.10770444870340908 0.11892379905467231 0.18769936164085971 0.24796631395125149 0.12410633606497405 -5.5774476564087898E-2 -3.5774476564087901E-2 -1.57744765640879E-2 4.2255234359120999E-3 2.42255234359121E-2 4.4225523435912101E-2 6.4225523435912105E-2 8.4225523435912109E-2 0.10422552343591211 0.12422552343591212 0.14422552343591211 0.1642255234359121 0.17177108855066384 0.15152856487942587

Stanard Deviation (σ)

Mean (µ)