| Correlations |
3
year weekly ending 4/26/2008 |
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| |
DIA |
SPY |
QQQQ |
IWV |
IWM |
IWN |
EFA |
EZU |
EWJ |
EPP |
EEM |
EWU |
EWA |
EWZ |
EWT |
EWH |
EWY |
IFN |
SMH |
IAH |
SWH |
BDH |
WMH |
TTH |
HHH |
IIH |
PPH |
XLF |
XLB |
XLE |
RTH |
RKH |
BBH |
RWR |
TLT |
IEF |
^XAU |
| DIA |
1.00 |
0.97 |
0.83 |
0.95 |
0.84 |
0.82 |
0.81 |
0.80 |
0.65 |
0.73 |
0.79 |
0.78 |
0.67 |
0.68 |
0.57 |
0.70 |
0.67 |
0.60 |
0.65 |
0.71 |
0.74 |
0.63 |
0.77 |
0.70 |
0.62 |
0.58 |
0.65 |
0.82 |
0.76 |
0.51 |
0.78 |
0.72 |
0.48 |
0.71 |
-0.22 |
-0.30 |
0.26 |
| SPY |
0.97 |
1.00 |
0.85 |
0.99 |
0.90 |
0.88 |
0.84 |
0.82 |
0.67 |
0.77 |
0.83 |
0.81 |
0.72 |
0.72 |
0.58 |
0.73 |
0.70 |
0.62 |
0.68 |
0.69 |
0.74 |
0.67 |
0.80 |
0.70 |
0.66 |
0.59 |
0.67 |
0.85 |
0.78 |
0.61 |
0.77 |
0.74 |
0.52 |
0.75 |
-0.22 |
-0.30 |
0.32 |
| QQQQ |
0.83 |
0.85 |
1.00 |
0.86 |
0.80 |
0.75 |
0.74 |
0.74 |
0.59 |
0.68 |
0.76 |
0.71 |
0.64 |
0.63 |
0.62 |
0.68 |
0.68 |
0.60 |
0.80 |
0.85 |
0.85 |
0.79 |
0.82 |
0.57 |
0.75 |
0.64 |
0.48 |
0.62 |
0.68 |
0.46 |
0.72 |
0.49 |
0.52 |
0.57 |
-0.19 |
-0.27 |
0.25 |
| IWV |
0.95 |
0.99 |
0.86 |
1.00 |
0.92 |
0.90 |
0.83 |
0.81 |
0.66 |
0.76 |
0.83 |
0.80 |
0.72 |
0.72 |
0.60 |
0.71 |
0.70 |
0.60 |
0.70 |
0.69 |
0.75 |
0.69 |
0.80 |
0.68 |
0.66 |
0.61 |
0.64 |
0.85 |
0.79 |
0.61 |
0.80 |
0.74 |
0.50 |
0.76 |
-0.23 |
-0.31 |
0.33 |
| IWM |
0.84 |
0.90 |
0.80 |
0.92 |
1.00 |
0.98 |
0.76 |
0.74 |
0.62 |
0.68 |
0.80 |
0.74 |
0.64 |
0.68 |
0.58 |
0.66 |
0.67 |
0.57 |
0.70 |
0.63 |
0.68 |
0.67 |
0.73 |
0.58 |
0.62 |
0.63 |
0.52 |
0.75 |
0.76 |
0.59 |
0.74 |
0.64 |
0.49 |
0.77 |
-0.24 |
-0.29 |
0.34 |
| IWN |
0.82 |
0.88 |
0.75 |
0.90 |
0.98 |
1.00 |
0.72 |
0.69 |
0.59 |
0.64 |
0.75 |
0.69 |
0.61 |
0.64 |
0.56 |
0.62 |
0.64 |
0.51 |
0.67 |
0.59 |
0.64 |
0.63 |
0.68 |
0.56 |
0.59 |
0.60 |
0.51 |
0.79 |
0.72 |
0.57 |
0.76 |
0.70 |
0.46 |
0.79 |
-0.23 |
-0.28 |
0.30 |
| EFA |
0.81 |
0.84 |
0.74 |
0.83 |
0.76 |
0.72 |
1.00 |
0.95 |
0.83 |
0.86 |
0.89 |
0.93 |
0.81 |
0.78 |
0.68 |
0.73 |
0.75 |
0.65 |
0.57 |
0.58 |
0.66 |
0.60 |
0.78 |
0.59 |
0.51 |
0.52 |
0.58 |
0.59 |
0.81 |
0.66 |
0.57 |
0.47 |
0.46 |
0.58 |
-0.20 |
-0.26 |
0.53 |
| EZU |
0.80 |
0.82 |
0.74 |
0.81 |
0.74 |
0.69 |
0.95 |
1.00 |
0.69 |
0.78 |
0.86 |
0.90 |
0.74 |
0.75 |
0.64 |
0.67 |
0.69 |
0.61 |
0.57 |
0.57 |
0.67 |
0.59 |
0.76 |
0.59 |
0.51 |
0.51 |
0.60 |
0.54 |
0.79 |
0.65 |
0.53 |
0.42 |
0.47 |
0.53 |
-0.20 |
-0.25 |
0.52 |
| EWJ |
0.65 |
0.67 |
0.59 |
0.66 |
0.62 |
0.59 |
0.83 |
0.69 |
1.00 |
0.67 |
0.74 |
0.70 |
0.63 |
0.58 |
0.66 |
0.60 |
0.71 |
0.57 |
0.46 |
0.44 |
0.54 |
0.52 |
0.60 |
0.45 |
0.43 |
0.42 |
0.47 |
0.52 |
0.59 |
0.49 |
0.51 |
0.43 |
0.38 |
0.47 |
-0.16 |
-0.18 |
0.36 |
| EPP |
0.73 |
0.77 |
0.68 |
0.76 |
0.68 |
0.64 |
0.86 |
0.78 |
0.67 |
1.00 |
0.84 |
0.80 |
0.96 |
0.78 |
0.58 |
0.85 |
0.75 |
0.61 |
0.48 |
0.51 |
0.57 |
0.55 |
0.69 |
0.49 |
0.51 |
0.44 |
0.48 |
0.56 |
0.79 |
0.61 |
0.51 |
0.44 |
0.39 |
0.55 |
-0.25 |
-0.33 |
0.55 |
| EEM |
0.79 |
0.83 |
0.76 |
0.83 |
0.80 |
0.75 |
0.89 |
0.86 |
0.74 |
0.84 |
1.00 |
0.84 |
0.78 |
0.88 |
0.74 |
0.79 |
0.85 |
0.72 |
0.61 |
0.59 |
0.63 |
0.67 |
0.77 |
0.54 |
0.54 |
0.54 |
0.58 |
0.58 |
0.83 |
0.69 |
0.58 |
0.46 |
0.47 |
0.57 |
-0.28 |
-0.33 |
0.55 |
| EWU |
0.78 |
0.81 |
0.71 |
0.80 |
0.74 |
0.69 |
0.93 |
0.90 |
0.70 |
0.80 |
0.84 |
1.00 |
0.75 |
0.78 |
0.61 |
0.69 |
0.69 |
0.59 |
0.55 |
0.57 |
0.62 |
0.56 |
0.74 |
0.56 |
0.46 |
0.52 |
0.53 |
0.57 |
0.79 |
0.68 |
0.52 |
0.44 |
0.42 |
0.55 |
-0.24 |
-0.28 |
0.53 |
| EWA |
0.67 |
0.72 |
0.64 |
0.72 |
0.64 |
0.61 |
0.81 |
0.74 |
0.63 |
0.96 |
0.78 |
0.75 |
1.00 |
0.75 |
0.55 |
0.74 |
0.71 |
0.55 |
0.46 |
0.48 |
0.55 |
0.52 |
0.64 |
0.46 |
0.49 |
0.43 |
0.42 |
0.52 |
0.78 |
0.60 |
0.48 |
0.40 |
0.34 |
0.53 |
-0.23 |
-0.31 |
0.58 |
| EWZ |
0.68 |
0.72 |
0.63 |
0.72 |
0.68 |
0.64 |
0.78 |
0.75 |
0.58 |
0.78 |
0.88 |
0.78 |
0.75 |
1.00 |
0.56 |
0.65 |
0.70 |
0.55 |
0.53 |
0.47 |
0.50 |
0.56 |
0.65 |
0.43 |
0.45 |
0.49 |
0.45 |
0.47 |
0.79 |
0.69 |
0.47 |
0.36 |
0.39 |
0.47 |
-0.29 |
-0.32 |
0.62 |
| EWT |
0.57 |
0.58 |
0.62 |
0.60 |
0.58 |
0.56 |
0.68 |
0.64 |
0.66 |
0.58 |
0.74 |
0.61 |
0.55 |
0.56 |
1.00 |
0.57 |
0.74 |
0.52 |
0.54 |
0.52 |
0.55 |
0.54 |
0.56 |
0.35 |
0.47 |
0.45 |
0.42 |
0.46 |
0.53 |
0.36 |
0.53 |
0.38 |
0.34 |
0.42 |
-0.19 |
-0.20 |
0.32 |
| EWH |
0.70 |
0.73 |
0.68 |
0.71 |
0.66 |
0.62 |
0.73 |
0.67 |
0.60 |
0.85 |
0.79 |
0.69 |
0.74 |
0.65 |
0.57 |
1.00 |
0.74 |
0.65 |
0.43 |
0.51 |
0.54 |
0.52 |
0.65 |
0.48 |
0.52 |
0.43 |
0.52 |
0.56 |
0.64 |
0.49 |
0.53 |
0.45 |
0.40 |
0.49 |
-0.18 |
-0.24 |
0.34 |
| EWY |
0.67 |
0.70 |
0.68 |
0.70 |
0.67 |
0.64 |
0.75 |
0.69 |
0.71 |
0.75 |
0.85 |
0.69 |
0.71 |
0.70 |
0.74 |
0.74 |
1.00 |
0.63 |
0.53 |
0.48 |
0.56 |
0.61 |
0.67 |
0.46 |
0.52 |
0.47 |
0.50 |
0.53 |
0.67 |
0.48 |
0.55 |
0.43 |
0.37 |
0.50 |
-0.26 |
-0.30 |
0.41 |
| IFN |
0.60 |
0.62 |
0.60 |
0.60 |
0.57 |
0.51 |
0.65 |
0.61 |
0.57 |
0.61 |
0.72 |
0.59 |
0.55 |
0.55 |
0.52 |
0.65 |
0.63 |
1.00 |
0.43 |
0.48 |
0.57 |
0.53 |
0.55 |
0.38 |
0.41 |
0.34 |
0.43 |
0.44 |
0.57 |
0.50 |
0.42 |
0.32 |
0.34 |
0.40 |
-0.21 |
-0.24 |
0.36 |
| SMH |
0.65 |
0.68 |
0.80 |
0.70 |
0.70 |
0.67 |
0.57 |
0.57 |
0.46 |
0.48 |
0.61 |
0.55 |
0.46 |
0.53 |
0.54 |
0.43 |
0.53 |
0.43 |
1.00 |
0.69 |
0.65 |
0.73 |
0.65 |
0.46 |
0.59 |
0.55 |
0.34 |
0.51 |
0.54 |
0.36 |
0.60 |
0.43 |
0.38 |
0.48 |
-0.16 |
-0.20 |
0.20 |
| IAH |
0.71 |
0.69 |
0.85 |
0.69 |
0.63 |
0.59 |
0.58 |
0.57 |
0.44 |
0.51 |
0.59 |
0.57 |
0.48 |
0.47 |
0.52 |
0.51 |
0.48 |
0.48 |
0.69 |
1.00 |
0.75 |
0.61 |
0.65 |
0.48 |
0.58 |
0.59 |
0.35 |
0.48 |
0.49 |
0.33 |
0.61 |
0.34 |
0.41 |
0.44 |
-0.16 |
-0.23 |
0.14 |
| SWH |
0.74 |
0.74 |
0.85 |
0.75 |
0.68 |
0.64 |
0.66 |
0.67 |
0.54 |
0.57 |
0.63 |
0.62 |
0.55 |
0.50 |
0.55 |
0.54 |
0.56 |
0.57 |
0.65 |
0.75 |
1.00 |
0.59 |
0.63 |
0.52 |
0.61 |
0.58 |
0.39 |
0.56 |
0.56 |
0.36 |
0.62 |
0.45 |
0.38 |
0.50 |
-0.21 |
-0.27 |
0.20 |
| BDH |
0.63 |
0.67 |
0.79 |
0.69 |
0.67 |
0.63 |
0.60 |
0.59 |
0.52 |
0.55 |
0.67 |
0.56 |
0.52 |
0.56 |
0.54 |
0.52 |
0.61 |
0.53 |
0.73 |
0.61 |
0.59 |
1.00 |
0.81 |
0.45 |
0.59 |
0.51 |
0.40 |
0.51 |
0.56 |
0.37 |
0.60 |
0.39 |
0.42 |
0.46 |
-0.13 |
-0.19 |
0.23 |
| WMH |
0.77 |
0.80 |
0.82 |
0.80 |
0.73 |
0.68 |
0.78 |
0.76 |
0.60 |
0.69 |
0.77 |
0.74 |
0.64 |
0.65 |
0.56 |
0.65 |
0.67 |
0.55 |
0.65 |
0.65 |
0.63 |
0.81 |
1.00 |
0.65 |
0.58 |
0.53 |
0.53 |
0.59 |
0.67 |
0.47 |
0.62 |
0.49 |
0.45 |
0.54 |
-0.13 |
-0.22 |
0.28 |
| TTH |
0.70 |
0.70 |
0.57 |
0.68 |
0.58 |
0.56 |
0.59 |
0.59 |
0.45 |
0.49 |
0.54 |
0.56 |
0.46 |
0.43 |
0.35 |
0.48 |
0.46 |
0.38 |
0.46 |
0.48 |
0.52 |
0.45 |
0.65 |
1.00 |
0.40 |
0.39 |
0.55 |
0.57 |
0.46 |
0.35 |
0.53 |
0.50 |
0.31 |
0.50 |
-0.18 |
-0.27 |
0.07 |
| HHH |
0.62 |
0.66 |
0.75 |
0.66 |
0.62 |
0.59 |
0.51 |
0.51 |
0.43 |
0.51 |
0.54 |
0.46 |
0.49 |
0.45 |
0.47 |
0.52 |
0.52 |
0.41 |
0.59 |
0.58 |
0.61 |
0.59 |
0.58 |
0.40 |
1.00 |
0.52 |
0.32 |
0.54 |
0.54 |
0.33 |
0.55 |
0.44 |
0.44 |
0.43 |
-0.17 |
-0.20 |
0.20 |
| IIH |
0.58 |
0.59 |
0.64 |
0.61 |
0.63 |
0.60 |
0.52 |
0.51 |
0.42 |
0.44 |
0.54 |
0.52 |
0.43 |
0.49 |
0.45 |
0.43 |
0.47 |
0.34 |
0.55 |
0.59 |
0.58 |
0.51 |
0.53 |
0.39 |
0.52 |
1.00 |
0.27 |
0.44 |
0.55 |
0.31 |
0.59 |
0.35 |
0.36 |
0.44 |
-0.15 |
-0.17 |
0.22 |
| PPH |
0.65 |
0.67 |
0.48 |
0.64 |
0.52 |
0.51 |
0.58 |
0.60 |
0.47 |
0.48 |
0.58 |
0.53 |
0.42 |
0.45 |
0.42 |
0.52 |
0.50 |
0.43 |
0.34 |
0.35 |
0.39 |
0.40 |
0.53 |
0.55 |
0.32 |
0.27 |
1.00 |
0.54 |
0.39 |
0.32 |
0.47 |
0.50 |
0.49 |
0.45 |
-0.07 |
-0.12 |
0.09 |
| XLF |
0.82 |
0.85 |
0.62 |
0.85 |
0.75 |
0.79 |
0.59 |
0.54 |
0.52 |
0.56 |
0.58 |
0.57 |
0.52 |
0.47 |
0.46 |
0.56 |
0.53 |
0.44 |
0.51 |
0.48 |
0.56 |
0.51 |
0.59 |
0.57 |
0.54 |
0.44 |
0.54 |
1.00 |
0.53 |
0.32 |
0.74 |
0.95 |
0.34 |
0.76 |
-0.15 |
-0.23 |
0.08 |
| XLB |
0.76 |
0.78 |
0.68 |
0.79 |
0.76 |
0.72 |
0.81 |
0.79 |
0.59 |
0.79 |
0.83 |
0.79 |
0.78 |
0.79 |
0.53 |
0.64 |
0.67 |
0.57 |
0.54 |
0.49 |
0.56 |
0.56 |
0.67 |
0.46 |
0.54 |
0.55 |
0.39 |
0.53 |
1.00 |
0.70 |
0.52 |
0.41 |
0.40 |
0.59 |
-0.31 |
-0.35 |
0.63 |
| XLE |
0.51 |
0.61 |
0.46 |
0.61 |
0.59 |
0.57 |
0.66 |
0.65 |
0.49 |
0.61 |
0.69 |
0.68 |
0.60 |
0.69 |
0.36 |
0.49 |
0.48 |
0.50 |
0.36 |
0.33 |
0.36 |
0.37 |
0.47 |
0.35 |
0.33 |
0.31 |
0.32 |
0.32 |
0.70 |
1.00 |
0.28 |
0.22 |
0.30 |
0.36 |
-0.26 |
-0.26 |
0.66 |
| RTH |
0.78 |
0.77 |
0.72 |
0.80 |
0.74 |
0.76 |
0.57 |
0.53 |
0.51 |
0.51 |
0.58 |
0.52 |
0.48 |
0.47 |
0.53 |
0.53 |
0.55 |
0.42 |
0.60 |
0.61 |
0.62 |
0.60 |
0.62 |
0.53 |
0.55 |
0.59 |
0.47 |
0.74 |
0.52 |
0.28 |
1.00 |
0.68 |
0.42 |
0.68 |
-0.18 |
-0.27 |
0.01 |
| RKH |
0.72 |
0.74 |
0.49 |
0.74 |
0.64 |
0.70 |
0.47 |
0.42 |
0.43 |
0.44 |
0.46 |
0.44 |
0.40 |
0.36 |
0.38 |
0.45 |
0.43 |
0.32 |
0.43 |
0.34 |
0.45 |
0.39 |
0.49 |
0.50 |
0.44 |
0.35 |
0.50 |
0.95 |
0.41 |
0.22 |
0.68 |
1.00 |
0.28 |
0.70 |
-0.08 |
-0.13 |
0.01 |
| BBH |
0.48 |
0.52 |
0.52 |
0.50 |
0.49 |
0.46 |
0.46 |
0.47 |
0.38 |
0.39 |
0.47 |
0.42 |
0.34 |
0.39 |
0.34 |
0.40 |
0.37 |
0.34 |
0.38 |
0.41 |
0.38 |
0.42 |
0.45 |
0.31 |
0.44 |
0.36 |
0.49 |
0.34 |
0.40 |
0.30 |
0.42 |
0.28 |
1.00 |
0.38 |
0.02 |
0.03 |
0.22 |
| RWR |
0.71 |
0.75 |
0.57 |
0.76 |
0.77 |
0.79 |
0.58 |
0.53 |
0.47 |
0.55 |
0.57 |
0.55 |
0.53 |
0.47 |
0.42 |
0.49 |
0.50 |
0.40 |
0.48 |
0.44 |
0.50 |
0.46 |
0.54 |
0.50 |
0.43 |
0.44 |
0.45 |
0.76 |
0.59 |
0.36 |
0.68 |
0.70 |
0.38 |
1.00 |
-0.08 |
-0.16 |
0.21 |
| TLT |
-0.22 |
-0.22 |
-0.19 |
-0.23 |
-0.24 |
-0.23 |
-0.20 |
-0.20 |
-0.16 |
-0.25 |
-0.28 |
-0.24 |
-0.23 |
-0.29 |
-0.19 |
-0.18 |
-0.26 |
-0.21 |
-0.16 |
-0.16 |
-0.21 |
-0.13 |
-0.13 |
-0.18 |
-0.17 |
-0.15 |
-0.07 |
-0.15 |
-0.31 |
-0.26 |
-0.18 |
-0.08 |
0.02 |
-0.08 |
1.00 |
0.93 |
-0.13 |
| IEF |
-0.30 |
-0.30 |
-0.27 |
-0.31 |
-0.29 |
-0.28 |
-0.26 |
-0.25 |
-0.18 |
-0.33 |
-0.33 |
-0.28 |
-0.31 |
-0.32 |
-0.20 |
-0.24 |
-0.30 |
-0.24 |
-0.20 |
-0.23 |
-0.27 |
-0.19 |
-0.22 |
-0.27 |
-0.20 |
-0.17 |
-0.12 |
-0.23 |
-0.35 |
-0.26 |
-0.27 |
-0.13 |
0.03 |
-0.16 |
0.93 |
1.00 |
-0.09 |
| ^XAU |
0.26 |
0.32 |
0.25 |
0.33 |
0.34 |
0.30 |
0.53 |
0.52 |
0.36 |
0.55 |
0.55 |
0.53 |
0.58 |
0.62 |
0.32 |
0.34 |
0.41 |
0.36 |
0.20 |
0.14 |
0.20 |
0.23 |
0.28 |
0.07 |
0.20 |
0.22 |
0.09 |
0.08 |
0.63 |
0.66 |
0.01 |
0.01 |
0.22 |
0.21 |
-0.13 |
-0.09 |
1.00 |
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Cells Coloring |
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< 0.25 |
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> 0.75 |
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*A high pairwise correlation hedged
trade is a high Sharpe ratio
proposition, while a low pairwise
correlation scenario is a high Alpha trade.
* Correlations
are subject to the well-known phenomenon of inter-
temporal non-stationarity and sign
inversion. As such they are
best utilized as an indicative and
explanatory factor, rather than a
predictive
factor.
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The Pearson product
moment correlation coefficient is calculated as follows: |
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r12
= S(Yi1 - Y-bar1)*(Yi2 - Y-bar2) / [S(Yi1 - Y-bar1) 2 *S(Yi2 - Y-bar2) 2 ]
(1/2) |
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r12 = s (1, 2) /s1s2 |
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Copying/Redistribution
without permission is a violation of copyright laws 2005 © http://AdvancedPortfolioSolutions.Com |
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This work is purely for the purposes of research and understanding
financial market dynamics. Contact
Pankaj Agrrawal, Ph.D. for clarification on any technical aspects of this
research. |
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