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Finance and Economics Discussion Series: Accessible Versions of Figures in 201052*

Flow and Stock Effects of Large-Scale Treasury Purchases

Stefania D'Amico and Thomas B. King

Figure 1. Maturity Distribution of Nominal Treasury LSAP Purchases

Maturity bin 0-2 2-4 4-6 6-8 8-10 10-12 12-14 14-16 16-18 18-20 20-22 26-28 28-30
Dollar amounts $18 $74 $70 $69 $13 $13 $8 $3 $6 $5 $2 $1 $4
Percentages of sector 1% 9% 12% 18% 4% 15% 10% 6% 10% 8% 5% 1% 4%
Return to Figure 1

Figure 2. Selected Treasury Yields during the Treasury LSAP Program

  30yr 20yr 10yr 7yr 5yr 3yr 2yr 1yr
1/2/2009 2.83 3.22 2.46 2.07 1.72 1.14 0.88 0.4
1/5/2009 3 3.37 2.49 2.07 1.67 1.08 0.78 0.43
1/6/2009 3.04 3.41 2.51 2.07 1.68 1.1 0.80 0.45
1/7/2009 3.05 3.41 2.52 2.02 1.66 1.15 0.82 0.44
1/8/2009 3.04 3.4 2.47 1.95 1.6 1.16 0.83 0.44
1/9/2009 3.04 3.39 2.43 1.88 1.51 1.11 0.75 0.43
1/12/2009 2.99 3.3 2.34 1.81 1.45 1.09 0.74 0.43
1/13/2009 3 3.3 2.33 1.8 1.44 1.07 0.76 0.43
1/14/2009 2.89 3.17 2.24 1.71 1.36 1.03 0.73 0.42
1/15/2009 2.86 3.16 2.23 1.71 1.36 1.01 0.73 0.42
1/16/2009 2.89 3.22 2.36 1.83 1.47 1.05 0.73 0.43
1/20/2009 2.97 3.3 2.4 1.85 1.48 1.06 0.73 0.42
1/21/2009 3.15 3.51 2.56 1.99 1.6 1.12 0.78 0.43
1/22/2009 3.25 3.61 2.62 2.02 1.61 1.11 0.75 0.42
1/23/2009 3.32 3.65 2.65 2.05 1.64 1.16 0.83 0.46
1/26/2009 3.39 3.71 2.7 2.09 1.67 1.21 0.85 0.47
1/27/2009 3.26 3.57 2.59 1.99 1.59 1.15 0.87 0.47
1/28/2009 3.44 3.73 2.71 2.1 1.7 1.22 0.89 0.48
1/29/2009 3.57 3.85 2.87 2.28 1.87 1.34 0.95 0.51
1/30/2009 3.58 3.86 2.87 2.27 1.85 1.32 0.94 0.51
2/2/2009 3.47 3.75 2.76 2.16 1.75 1.27 0.89 0.51
2/3/2009 3.64 3.88 2.89 2.28 1.88 1.37 0.96 0.53
2/4/2009 3.65 3.88 2.95 2.32 1.91 1.42 0.98 0.53
2/5/2009 3.63 3.86 2.95 2.32 1.89 1.4 0.98 0.54
2/6/2009 3.7 3.94 3.05 2.4 1.97 1.44 0.99 0.57
2/9/2009 3.69 3.91 3.07 2.42 1.99 1.5 1.05 0.6
2/10/2009 3.54 3.77 2.9 2.23 1.79 1.31 0.92 0.6
2/11/2009 3.45 3.69 2.78 2.17 1.76 1.32 0.93 0.6
2/12/2009 3.47 3.71 2.75 2.14 1.73 1.28 0.89 0.58
2/13/2009 3.68 3.91 2.89 2.29 1.88 1.37 0.97 0.61
2/17/2009 3.47 3.7 2.64 2.05 1.65 1.22 0.87 0.61
2/18/2009 3.54 3.77 2.74 2.18 1.81 1.33 0.97 0.64
2/19/2009 3.68 3.92 2.85 2.28 1.89 1.38 1.01 0.67
2/20/2009 3.56 3.82 2.78 2.21 1.81 1.3 0.96 0.64
2/23/2009 3.53 3.79 2.78 2.22 1.84 1.34 0.96 0.69
2/24/2009 3.49 3.77 2.8 2.26 1.89 1.37 1.03 0.71
2/25/2009 3.59 3.88 2.95 2.42 2.06 1.49 1.09 0.75
2/26/2009 3.66 3.93 2.98 2.72 2.07 1.5 1.08 0.73
2/27/2009 3.71 3.98 3.02 2.69 1.99 1.4 1.00 0.72
3/2/2009 3.64 3.89 2.91 2.54 1.86 1.28 0.89 0.67
3/3/2009 3.67 3.92 2.93 2.58 1.87 1.31 0.91 0.68
3/4/2009 3.69 3.96 3.01 2.67 1.97 1.4 0.97 0.71
3/5/2009 3.51 3.76 2.83 2.49 1.82 1.3 0.90 0.66
3/6/2009 3.5 3.74 2.83 2.49 1.83 1.34 0.91 0.67
3/9/2009 3.59 3.83 2.89 2.53 1.9 1.38 0.96 0.69
3/10/2009 3.7 3.94 2.99 2.63 1.99 1.46 1.01 0.71
3/11/2009 3.67 3.88 2.95 2.56 1.96 1.45 1.03 0.71
3/12/2009 3.63 3.82 2.89 2.5 1.92 1.42 1.03 0.7
3/13/2009 3.66 3.84 2.89 2.48 1.87 1.36 0.98 0.67
3/16/2009 3.76 3.93 2.97 2.55 1.91 1.39 1.00 0.69
3/17/2009 3.83 3.99 3.02 2.64 2 1.45 1.05 0.69
3/18/2009 3.57 3.65 2.51 2.11 1.54 1.14 0.82 0.6
3/19/2009 3.62 3.64 2.61 2.17 1.64 1.21 0.87 0.6
3/20/2009 3.65 3.67 2.65 2.18 1.66 1.23 0.89 0.6
3/23/2009 3.69 3.7 2.68 2.2 1.69 1.25 0.93 0.6
3/24/2009 3.6 3.64 2.68 2.22 1.7 1.24 0.93 0.62
3/25/2009 3.73 3.76 2.81 2.36 1.84 1.35 0.96 0.6
3/26/2009 3.66 3.69 2.76 2.34 1.8 1.29 0.90 0.57
3/27/2009 3.62 3.66 2.78 2.36 1.79 1.27 0.90 0.58
3/30/2009 3.6 3.64 2.73 2.31 1.72 1.2 0.84 0.58
3/31/2009 3.56 3.61 2.71 2.28 1.67 1.15 0.81 0.57
4/1/2009 3.51 3.54 2.68 2.25 1.65 1.16 0.83 0.58
4/2/2009 3.57 3.63 2.77 2.35 1.74 1.25 0.88 0.59
4/3/2009 3.7 3.77 2.91 2.51 1.87 1.36 0.96 0.6
4/6/2009 3.73 3.82 2.95 2.55 1.9 1.37 0.94 0.6
4/7/2009 3.72 3.79 2.93 2.51 1.87 1.33 0.91 0.6
4/8/2009 3.66 3.74 2.86 2.43 1.83 1.34 0.93 0.59
4/9/2009 3.76 3.85 2.96 2.49 1.9 1.36 0.96 0.6
4/13/2009 3.69 3.78 2.88 2.39 1.81 1.27 0.89 0.57
4/14/2009 3.64 3.73 2.8 2.31 1.71 1.21 0.86 0.54
4/15/2009 3.66 3.75 2.82 2.29 1.71 1.22 0.86 0.54
4/16/2009 3.72 3.81 2.86 2.36 1.79 1.27 0.91 0.54
4/17/2009 3.79 3.91 2.98 2.48 1.91 1.36 0.99 0.57
4/20/2009 3.69 3.8 2.88 2.39 1.82 1.27 0.93 0.54
4/21/2009 3.74 3.86 2.94 2.46 1.87 1.32 0.96 0.53
4/22/2009 3.82 3.93 2.98 2.5 1.92 1.36 1.00 0.52
4/23/2009 3.8 3.9 2.96 2.49 1.89 1.34 0.97 0.49
4/24/2009 3.89 3.99 3.03 2.56 1.96 1.38 0.99 0.5
4/27/2009 3.84 3.92 2.95 2.48 1.87 1.31 0.90 0.49
4/28/2009 3.97 4.03 3.05 2.58 1.97 1.39 0.95 0.52
4/29/2009 4.01 4.07 3.12 2.69 2.01 1.4 0.94 0.5
4/30/2009 4.05 4.1 3.16 2.7 2.02 1.38 0.91 0.49
5/1/2009 4.09 4.14 3.21 2.72 2.03 1.39 0.92 0.49
5/4/2009 4.06 4.11 3.19 2.7 2.03 1.4 0.94 0.52
5/5/2009 4.06 4.11 3.2 2.7 2.05 1.46 0.98 0.53
5/6/2009 4.09 4.12 3.18 2.7 2.06 1.43 0.96 0.51
5/7/2009 4.25 4.26 3.29 2.8 2.15 1.46 1.00 0.54
5/8/2009 4.28 4.25 3.29 2.78 2.15 1.44 1.00 0.55
5/11/2009 4.18 4.15 3.17 2.67 2.04 1.34 0.92 0.53
5/12/2009 4.16 4.13 3.17 2.67 2.02 1.34 0.90 0.54
5/13/2009 4.09 4.06 3.11 2.62 1.98 1.31 0.89 0.52
5/14/2009 4.06 4.04 3.1 2.62 1.98 1.3 0.87 0.5
5/15/2009 4.09 4.07 3.14 2.65 2.01 1.3 0.88 0.5
5/18/2009 4.18 4.16 3.22 2.73 2.09 1.36 0.93 0.5
5/19/2009 4.21 4.19 3.25 2.76 2.12 1.37 0.91 0.48
5/20/2009 4.14 4.11 3.19 2.72 2.05 1.31 0.87 0.44
5/21/2009 4.3 4.27 3.35 2.86 2.16 1.36 0.89 0.45
5/22/2009 4.38 4.36 3.45 2.96 2.23 1.39 0.92 0.49
5/26/2009 4.45 4.42 3.5 3.05 2.3 1.45 0.96 0.5
5/27/2009 4.59 4.58 3.71 3.22 2.43 1.5 0.96 0.49
5/28/2009 4.54 4.52 3.67 3.22 2.46 1.52 0.97 0.48
5/29/2009 4.34 4.34 3.47 3.06 2.34 1.42 0.92 0.47
6/1/2009 4.55 4.56 3.71 3.28 2.55 1.52 0.97 0.48
6/2/2009 4.5 4.51 3.65 3.26 2.52 1.52 0.96 0.46
6/3/2009 4.45 4.44 3.56 3.16 2.43 1.47 0.91 0.45
6/4/2009 4.58 4.58 3.72 3.31 2.56 1.54 0.96 0.47
6/5/2009 4.63 4.64 3.84 3.53 2.85 1.88 1.32 0.62
6/8/2009 4.65 4.66 3.91 3.6 2.95 2 1.42 0.62
6/9/2009 4.64 4.65 3.86 3.51 2.86 1.93 1.33 0.56
6/10/2009 4.76 4.75 3.98 3.59 2.93 2 1.38 0.55
6/11/2009 4.69 4.67 3.88 3.49 2.87 1.97 1.35 0.53
6/12/2009 4.65 4.63 3.81 3.46 2.81 1.91 1.30 0.52
6/15/2009 4.61 4.58 3.76 3.39 2.75 1.84 1.26 0.51
6/16/2009 4.48 4.47 3.67 3.32 2.7 1.79 1.23 0.51
6/17/2009 4.5 4.47 3.68 3.33 2.69 1.76 1.19 0.5
6/18/2009 4.63 4.62 3.86 3.51 2.86 1.88 1.28 0.52
6/19/2009 4.52 4.54 3.79 3.45 2.82 1.84 1.25 0.51
6/22/2009 4.45 4.45 3.72 3.37 2.75 1.77 1.17 0.5
6/23/2009 4.37 4.36 3.65 3.31 2.71 1.74 1.14 0.5
6/24/2009 4.44 4.43 3.72 3.39 2.74 1.79 1.19 0.5
6/25/2009 4.33 4.31 3.55 3.22 2.58 1.66 1.12 0.47
6/26/2009 4.3 4.28 3.52 3.18 2.53 1.63 1.10 0.45
6/29/2009 4.31 4.29 3.51 3.18 2.53 1.63 1.11 0.51
6/30/2009 4.32 4.3 3.53 3.19 2.54 1.64 1.11 0.56
7/1/2009 4.34 4.32 3.55 3.2 2.51 1.57 1.05 0.54
7/2/2009 4.32 4.28 3.51 3.14 2.43 1.52 0.98 0.49
7/6/2009 4.35 4.29 3.52 3.12 2.4 1.48 0.96 0.48
7/7/2009 4.31 4.25 3.47 3.08 2.36 1.52 0.98 0.46
7/8/2009 4.17 4.13 3.33 2.9 2.23 1.42 0.91 0.45
7/9/2009 4.31 4.26 3.44 3.01 2.33 1.46 0.94 0.47
7/10/2009 4.2 4.16 3.32 2.89 2.22 1.4 0.91 0.45
7/13/2009 4.25 4.21 3.38 2.94 2.27 1.41 0.92 0.47
7/14/2009 4.38 4.35 3.5 3.05 2.37 1.48 0.97 0.47
7/15/2009 4.48 4.46 3.63 3.19 2.52 1.6 1.03 0.5
7/16/2009 4.45 4.43 3.59 3.13 2.46 1.54 1.00 0.47
7/17/2009 4.53 4.51 3.67 3.21 2.52 1.58 1.02 0.48
7/20/2009 4.47 4.45 3.61 3.14 2.46 1.54 0.99 0.47
7/21/2009 4.38 4.35 3.5 3.03 2.36 1.47 0.96 0.46
7/22/2009 4.45 4.42 3.58 3.11 2.43 1.5 0.98 0.47
7/23/2009 4.58 4.55 3.72 3.28 2.6 1.62 1.08 0.49
7/24/2009 4.55 4.53 3.7 3.25 2.57 1.59 1.05 0.47
7/27/2009 4.62 4.6 3.75 3.31 2.63 1.63 1.08 0.49
7/28/2009 4.56 4.54 3.72 3.3 2.63 1.66 1.12 0.49
7/29/2009 4.5 4.49 3.69 3.31 2.69 1.72 1.17 0.5
7/30/2009 4.44 4.44 3.67 3.31 2.66 1.73 1.19 0.48
7/31/2009 4.31 4.29 3.52 3.14 2.53 1.62 1.13 0.48
8/3/2009 4.42 4.4 3.66 3.3 2.66 1.72 1.18 0.48
8/4/2009 4.45 4.44 3.7 3.32 2.68 1.75 1.20 0.47
8/5/2009 4.57 4.54 3.8 3.4 2.73 1.78 1.23 0.49
8/6/2009 4.53 4.51 3.79 3.39 2.73 1.77 1.22 0.48
8/7/2009 4.61 4.59 3.89 3.5 2.84 1.87 1.32 0.52
8/10/2009 4.52 4.49 3.8 3.4 2.75 1.79 1.24 0.49
8/11/2009 4.44 4.4 3.71 3.32 2.69 1.78 1.21 0.48
8/12/2009 4.53 4.49 3.72 3.35 2.7 1.76 1.18 0.47
8/13/2009 4.44 4.37 3.59 3.22 2.58 1.66 1.12 0.45
8/14/2009 4.41 4.33 3.55 3.17 2.51 1.61 1.07 0.44
8/17/2009 4.33 4.26 3.48 3.09 2.43 1.54 1.04 0.45
8/18/2009 4.35 4.29 3.51 3.13 2.48 1.57 1.06 0.43
8/19/2009 4.28 4.23 3.45 3.07 2.43 1.52 1.01 0.43
8/20/2009 4.24 4.18 3.42 3.06 2.43 1.53 1.03 0.42
8/21/2009 4.36 4.32 3.56 3.21 2.58 1.65 1.13 0.45
8/24/2009 4.27 4.22 3.48 3.13 2.5 1.57 1.05 0.44
8/25/2009 4.22 4.17 3.45 3.1 2.48 1.56 1.05 0.47
8/26/2009 4.2 4.15 3.44 3.09 2.46 1.57 1.06 0.45
8/27/2009 4.23 4.19 3.47 3.12 2.48 1.58 1.04 0.46
8/28/2009 4.21 4.17 3.46 3.09 2.46 1.55 1.01 0.44
8/31/2009 4.18 4.14 3.4 3.03 2.39 1.49 0.97 0.43
9/1/2009 4.19 4.14 3.38 2.99 2.33 1.44 0.92 0.43
9/2/2009 4.09 4.04 3.29 2.91 2.26 1.39 0.89 0.41
9/3/2009 4.15 4.09 3.33 2.95 2.29 1.42 0.91 0.42
9/4/2009 4.27 4.21 3.45 3.06 2.36 1.46 0.94 0.42
9/8/2009 4.31 4.24 3.47 3.06 2.38 1.49 0.93 0.41
9/9/2009 4.33 4.26 3.48 3.07 2.38 1.48 0.93 0.4
9/10/2009 4.19 4.11 3.36 2.95 2.29 1.42 0.90 0.4
9/11/2009 4.18 4.1 3.34 2.93 2.29 1.42 0.90 0.39
9/14/2009 4.22 4.16 3.42 3.01 2.37 1.46 0.94 0.4
9/15/2009 4.27 4.21 3.47 3.07 2.41 1.49 0.96 0.39
9/16/2009 4.26 4.22 3.48 3.11 2.46 1.55 1.01 0.38
9/17/2009 4.19 4.14 3.42 3.04 2.41 1.51 0.98 0.4
9/18/2009 4.24 4.2 3.49 3.12 2.49 1.57 1.03 0.41
9/21/2009 4.23 4.2 3.49 3.11 2.47 1.56 1.02 0.4
9/22/2009 4.2 4.18 3.46 3.09 2.45 1.54 1.02 0.42
9/23/2009 4.21 4.18 3.44 3.05 2.4 1.49 0.96 0.41
9/24/2009 4.17 4.14 3.4 3.03 2.37 1.45 0.93 0.39
9/25/2009 4.1 4.07 3.34 2.98 2.36 1.49 0.98 0.41
9/28/2009 4.04 4.02 3.31 2.95 2.33 1.47 0.98 0.4
9/29/2009 4.03 4.02 3.31 2.94 2.34 1.48 1.00 0.41
9/30/2009 4.03 4.02 3.31 2.93 2.31 1.45 0.95 0.4
10/1/2009 3.97 3.95 3.21 2.82 2.2 1.36 0.87 0.37
10/2/2009 4.01 3.98 3.24 2.83 2.22 1.38 0.88 0.37
10/5/2009 4.01 3.98 3.24 2.82 2.21 1.38 0.88 0.36
10/6/2009 4.07 4.03 3.27 2.85 2.25 1.43 0.91 0.37
10/7/2009 3.99 3.96 3.21 2.77 2.16 1.35 0.87 0.34
10/8/2009 4.09 4.05 3.27 2.83 2.22 1.4 0.90 0.35
10/9/2009 4.22 4.2 3.4 2.98 2.36 1.5 0.98 0.38
10/13/2009 4.16 4.14 3.34 2.9 2.28 1.42 0.91 0.35
10/14/2009 4.28 4.26 3.45 3.01 2.36 1.47 0.96 0.35
10/15/2009 4.31 4.29 3.49 3.05 2.41 1.5 0.97 0.36
10/16/2009 4.24 4.22 3.43 2.99 2.37 1.49 0.97 0.36
10/19/2009 4.21 4.19 3.41 2.98 2.36 1.5 0.99 0.38
10/20/2009 4.16 4.14 3.35 2.93 2.3 1.44 0.95 0.39
10/21/2009 4.22 4.2 3.42 3.01 2.38 1.51 1.00 0.4
10/22/2009 4.24 4.22 3.44 3.03 2.39 1.5 0.97 0.38
10/23/2009 4.29 4.27 3.51 3.1 2.46 1.57 1.04 0.4
10/26/2009 4.37 4.35 3.59 3.17 2.53 1.61 1.06 0.41
10/27/2009 4.29 4.26 3.49 3.05 2.41 1.51 0.99 0.39
10/28/2009 4.25 4.22 3.44 3.01 2.37 1.47 0.95 0.39
10/29/2009 4.35 4.31 3.53 3.12 2.44 1.52 0.98 0.4
10/30/2009 4.23 4.19 3.41 2.98 2.31 1.43 0.90 0.37
11/2/2009 4.26 4.22 3.45 3 2.33 1.44 0.92 0.38
11/3/2009 4.34 4.29 3.5 3.05 2.36 1.46 0.92 0.38
11/4/2009 4.41 4.36 3.57 3.09 2.39 1.46 0.91 0.36
11/5/2009 4.41 4.36 3.57 3.06 2.35 1.44 0.90 0.36
11/6/2009 4.4 4.35 3.54 3.02 2.3 1.4 0.86 0.34
11/9/2009 4.4 4.34 3.52 3.01 2.31 1.4 0.87 0.34
11/10/2009 4.41 4.36 3.5 3.01 2.31 1.39 0.85 0.33
11/12/2009 4.41 4.33 3.45 2.98 2.28 1.36 0.82 0.32
11/13/2009 4.36 4.29 3.43 2.97 2.28 1.34 0.82 0.32
11/16/2009 4.26 4.18 3.33 2.87 2.19 1.28 0.78 0.31
11/17/2009 4.26 4.17 3.33 2.87 2.19 1.28 0.78 0.32
11/18/2009 4.29 4.21 3.36 2.9 2.21 1.27 0.77 0.29
11/19/2009 4.29 4.2 3.35 2.88 2.18 1.24 0.73 0.27
11/20/2009 4.3 4.2 3.36 2.9 2.2 1.25 0.75 0.27
11/23/2009 4.29 4.2 3.37 2.9 2.2 1.28 0.77 0.29
11/24/2009 4.25 4.16 3.32 2.82 2.15 1.22 0.73 0.28
11/25/2009 4.23 4.12 3.28 2.78 2.11 1.23 0.73 0.26
11/27/2009 4.21 4.07 3.21 2.71 2.03 1.15 0.68 0.26
11/30/2009 4.2 4.07 3.21 2.69 2.01 1.12 0.67 0.27
12/1/2009 4.26 4.14 3.28 2.74 2.03 1.14 0.67 0.26
12/2/2009 4.26 4.14 3.32 2.8 2.09 1.19 0.72 0.28
12/3/2009 4.33 4.23 3.39 2.87 2.14 1.23 0.74 0.3
12/4/2009 4.4 4.31 3.48 2.97 2.24 1.34 0.84 0.36
12/7/2009 4.4 4.29 3.44 2.92 2.19 1.26 0.78 0.32
12/8/2009 4.39 4.28 3.4 2.86 2.12 1.21 0.73 0.29
12/9/2009 4.41 4.31 3.45 2.89 2.15 1.23 0.76 0.31
12/10/2009 4.5 4.37 3.49 2.95 2.19 1.26 0.78 0.32
12/11/2009 4.49 4.39 3.55 3.02 2.26 1.3 0.83 0.35
12/14/2009 4.48 4.39 3.56 3.04 2.3 1.35 0.87 0.37
12/15/2009 4.52 4.42 3.6 3.08 2.35 1.38 0.88 0.41
12/16/2009 4.52 4.42 3.61 3.09 2.35 1.36 0.85 0.38
12/17/2009 4.42 4.31 3.5 2.97 2.24 1.27 0.77 0.35
12/18/2009 4.46 4.36 3.55 3.04 2.3 1.32 0.82 0.36
12/21/2009 4.56 4.47 3.69 3.18 2.43 1.42 0.89 0.4
12/22/2009 4.6 4.52 3.76 3.24 2.49 1.48 0.95 0.41
12/23/2009 4.61 4.54 3.77 3.26 2.51 1.51 0.96 0.41
12/24/2009 4.68 4.6 3.82 3.32 2.57 1.56 1.00 0.43
12/28/2009 4.69 4.61 3.85 3.34 2.62 1.63 1.09 0.47
12/29/2009 4.64 4.57 3.82 3.33 2.62 1.64 1.09 0.47
12/30/2009 4.61 4.54 3.8 3.34 2.61 1.65 1.08 0.45
12/31/2009 4.63 4.58 3.85 3.39 2.69 1.7 1.14 0.47
Return to Figure 2

Figure 3. Stock Effect of the Treasury LSAP Program on the Nominal Yield Curve

Remaining maturity Actual yield curve Counterfactual Counterfactual lower bound Counterfactual upper bound
0        
1 0.380182568 0.777711009 0.514005655 1.042494429
2 0.889550677 1.264401675 1.022699866 1.513374591
3 1.410842469 1.7991135 1.540005649 2.042370723
4 1.882276985 2.284582587 2.012188251 2.530273685
5 2.287548251 2.703183133 2.421408336 2.963026735
6 2.62847117 3.058663655 2.766618361 3.340470289
7 2.912934662 3.359036553 3.053797823 3.665946828
8 3.149895789 3.612044636 3.291149766 3.943747808
9 3.347521521 3.824269894 3.486884068 4.178299086
10 3.512674565 4.001181611 3.648313375 4.373864385
11 3.650927776 4.147355138 3.781587849 4.534434268
12 3.766752058 4.266670703 3.891719512 4.663690053
13 3.863732738 4.362462337 3.982720475 4.76500037
14 3.944762192 4.437624795 4.057770658 4.841432423
15 4.012195493 4.494690888 4.119377568 4.895769737
16 4.067970703 4.535888944 4.169514131 4.930532429
17 4.113699985 4.563186945 4.209731622 4.947997997
18 4.150738146 4.578327497 4.241249541 4.950221631
19 4.180234283 4.582856339 4.265025905 4.93905553
20 4.203170959 4.578146088 4.28181171 4.916167007
21 4.220394218 4.565416377 4.292192904 4.883055272
22 4.232636877 4.54575117 4.296622676 4.841066921
23 4.240536817 4.520113805 4.2954463 4.791410146
24 4.244651558 4.489360156 4.28892028 4.735167742
25 4.245470015 4.454250234 4.277227128 4.673308984
26 4.24342211 4.415458448 4.26048679 4.606700456
27 4.238886706 4.373582721 4.2387655 4.536115911
28 4.232198241 4.329152598 4.212082635 4.462245238
29 4.223652322 4.282636491 4.180416012 4.385702609
30 4.213510476 4.234448143 4.143705968 4.307033884
Return to Figure 3
* This version is optimized for use by screen readers. Descriptions for all mathematical expressions are provided in LaTex format. A printable pdf version is available. Return to Text
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Last update: September 30, 2010