140 THE HANDBOOK OF PORTFOLIO MATHEMATICS
20 TRIALS
f VALUES−−−−→
EVENT 0.06 0.1 0.15 0.2 0.29 0.3 0.35 0.4 0.45
START VALUES−−−−→ 20.00 10.00 6.67 5.00 4.00 3.33 2.86 2.90 2.22
5 25.00 15.00 11.67 10.00 9.00 8.33 7.86 7.5O 7.22
− 1 23.75 13.50 3.92 8.00 6.75 5.83 5.11 4.50 3.97
5 29.89 20.25 17.35 16.00 15.19 14.58 14.04 13.50 12.91
− 51 35.2528.20 27.3418.23 25.8114.75 12.8025.60 11.3925.63 10.2125.52 25.109.13 24.308.10 23.087.10
− 1 33.49 24.60 21.94 20.48 19.22 17.86 16.32 14.50 12.69
5 41.66 36.91 38.40 40.96 43.25 44.66 44.87 43.74 41.25
− 51 49.7139.77 49.8233.22 57.1232.64 32.7765.54 32.4472.98 31.2678.16 29.1780.21 26.2478.73 73.7322.69
− 1 47.23 44.84 48.55 52.43 54.74 54.71 52.14 47.24 40.55
5 59.03 67.26 84.96 104.86 123.16 136.78 143.38 141.72 131.80
− 1 56.08 60.53 72.22 83.89 92.37 96.74 93.20 85.03 72.49
− 15 66.6070.10 81.7290.80 107.43126.38 134.22167.77 207.83155.87 239.36167.55 256.30166.59 255.09153.06 230.58129.57
5 83.25 122.58 187.99 268.44 350.71 418.88 458.13 459.17 421.11
− 1 79.09 110.32 199.80 214.75 263.03 293.21 297.78 275.50 231.61
− 15 93.9198.86 148.94165.49 237.70279.64 343.60429.50 591.82443.87 733.03513.12 818.90532.29 826.50496.90 752.73414.00
5 117.39 223.41 415.97 687.19 998.70 1282.81 1463.79 1487.69 1345.50
− 1 111.52 201.07 353.57 549.76 749.03 897.96 951.46 892.62 740.03
5 139.40 301.60 618.75 1099.51 1685.31 2244.91 2616.53 2677.85 2405.09
− 51 165.54132.43 407.16271.44 920.39525.94 1759.22879.61 1263.982843.96 1571.443928.60 1700.744677.04 1606.714820.13 4299.101322.60
− 1 157.27 366.44 782.33 1407.37 2132.97 2750.02 3040.08 2892.08 2364.50
5 196.58 549.66 1369.09 2814.75 4799.19 6875.04 8360.21 8676.24 7684.64
− 51 233.44186.75 742.05494.70 2036.511163.72 2251.804503.60 3599.398098.63 12031.324812.53 14943.885434.14 15617.225205.74 13736.294226.55
− 1 221.77 667.84 1731.04 3602.88 6073.97 9421.93 9713.52 9370.33 7554.96
5 277.21 1001.76 3029.31 7205.76 13666.44 21054.82 26712.18 2811.00 24553.62
− 1 263.35 901.58 2574.92 5764.61 10249.83 14738.37 17362.92 16866.60 13504.49
− 15 312.73329.19 1217.141352.38 3830.194506.11 11529.229223.37 23062.1217296.59 36845.9325792.15 47748.0231036.22 50599.8030359.88 43889.6024139.28
5 390.91 1825.71 6702.83 18446.74 38917.33 64480.37 85349.59 91079.65 78452.66
− 1 371.37 1643.14 5697.41 14757.40 29188.00 45136.26 55477.24 54647.79 43148.96
− 15 441.00464.21 2218.242464.71 8474.899970.46 23611.8329514.79 65672.9949254.74 112840.6578988.46 152562.4099165.56 163943.3798366.02 140234.1277128.77
5 551.25 3327.35 14831.06 47723.66 110823.17 197471.14 272705.29 295098.06 250668.50
− 1 523.68 2994.62 12606.40 37778.93 83117.38 138229.80 177258.44 177058.84 137867.67
5 654.60 4491.93 22061.21 75557.86 187014.10 345574.49 487460.70 531176.51 448069.94
− 1 621.87 4042.74 18752.03 60446.29 140260.58 241902.14 316849.46 318705.91 246438.47
TWR−−−−→ 31.09 404.27 2812.80 12089.26 35065.14 72570.64 110897.31 127482.36 110897.31
FIGURE 4.6 Values offfor 20 sequences at+5,− 1