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i am trying to understand the behavior of discount rates in order to see whether you can assume rates follow a normal distribution in simulations.

i am trying to understand the behavior of discount rates in order to see whether you can assume rates follow a normal distribution in simulations. contains monthly data on the 10-year Treasury rates, Moody's AAA bond yields, returns on the value-weighted (VW) stock market portfolio, returns on the SP500 index, and returns on Applied Materials, from January 1973 to the most recently available dates.

Please perform the following analysis and answer the questions listed below:

  1. Calculate Mean, Median, Standard deviation, Min, and Max for each rate(ret).
  2. Plot the data and visually examine the distributions of these rates. For each rate, you will need to go to "Data""Data Analysis""Histogram" to plot the data. Please choose "New Worksheet Ply" (make sure you name the worksheet) and select "Chart Output" and "Cumulative Percentage".
  3. Assuming each of the rates follows a normal distribution, with mean and standard deviation take on the values you computed in question 1. For each rate, compute the probability of the rate falls between 1% and 5%. [Hint: please refer to page 184 of the required textbook for useful Excel functions].
  4. Give your results from questions 1 and 2, which return(s) has(have) a distribution that closely reassembles a normal distribution? Are there rates that don't follow a normal distribution?
Date of Observation Treasury Constant Maturity 10-year Moody's Aaa VW Mkt Ret S&P 500 Ret APPLIED MATERIALS Ret
31-Jan-73 0.0646 0.0715 -0.0275 -0.0171 -0.2336
28-Feb-73 0.0664 0.0722 -0.0444 -0.0375 0.0610
30-Mar-73 0.0671 0.0729 -0.0079 -0.0014 -0.0690
30-Apr-73 0.0667 0.0726 -0.0518 -0.0408 -0.1111
31-May-73 0.0685 0.0729 -0.0245 -0.0189 -0.2083
29-Jun-73 0.069 0.0737 -0.0086 -0.0066 -0.0702
31-Jul-73 0.0713 0.0745 0.0570 0.0380 0.4717
31-Aug-73 0.074 0.0768 -0.0297 -0.0367 0.1795
28-Sep-73 0.0709 0.0763 0.0539 0.0401 0.3043
31-Oct-73 0.0679 0.076 -0.0004 -0.0013 0.0167
30-Nov-73 0.0673 0.0767 -0.1207 -0.1139 -0.4426
31-Dec-73 0.0674 0.0768 0.0114 0.0166 0.1324
31-Jan-74 0.0699 0.0783 0.0044 -0.0100 0.0000
28-Feb-74 0.0696 0.0785 0.0023 -0.0036 0.0260
29-Mar-74 0.0721 0.0801 -0.0234 -0.0233 -0.0253
30-Apr-74 0.0751 0.0825 -0.0460 -0.0391 -0.0519
31-May-74 0.0758 0.0837 -0.0420 -0.0336 -0.0548
28-Jun-74 0.0754 0.0847 -0.0229 -0.0147 -0.2174
31-Jul-74 0.0781 0.0872 -0.0709 -0.0778 -0.1481
30-Aug-74 0.0804 0.09 -0.0878 -0.0903 -0.0870
30-Sep-74 0.0804 0.0924 -0.1097 -0.1193 -0.3095
31-Oct-74 0.079 0.0927 0.1656 0.1630 0.2759
29-Nov-74 0.0768 0.0889 -0.0410 -0.0532 -0.1892
31-Dec-74 0.0743 0.0889 -0.0270 -0.0202 -0.2000
31-Jan-75 0.075 0.0883 0.1416 0.1228 0.7500
28-Feb-75 0.0739 0.0862 0.0584 0.0599 -0.2143
31-Mar-75 0.0773 0.0867 0.0302 0.0217 0.1515
30-Apr-75 0.0823 0.0895 0.0465 0.0473 0.2105
30-May-75 0.0806 0.089 0.0551 0.0441 0.6739
30-Jun-75 0.0786 0.0877 0.0515 0.0443 0.0000
31-Jul-75 0.0806 0.0884 -0.0604 -0.0677 -0.2857
29-Aug-75 0.084 0.0895 -0.0236 -0.0211 -0.2364
30-Sep-75 0.0843 0.0895 -0.0380 -0.0346 0.2143
31-Oct-75 0.0814 0.0886 0.0559 0.0616 -0.0980
28-Nov-75 0.0805 0.0878 0.0312 0.0247 -0.1957
31-Dec-75 0.08 0.0879 -0.0110 -0.0115 0.0541
30-Jan-76 0.0774 0.086 0.1260 0.1183 0.3846
27-Feb-76 0.0779 0.0855 0.0073 -0.0114 0.0000
31-Mar-76 0.0773 0.0852 0.0267 0.0307 -0.2037
30-Apr-76 0.0756 0.084 -0.0104 -0.0110 0.4186
28-May-76 0.079 0.0858 -0.0093 -0.0144 -0.0820
30-Jun-76 0.0786 0.0862 0.0445 0.0409 -0.1429
30-Jul-76 0.0783 0.0856 -0.0061 -0.0081 -0.1458
31-Aug-76 0.0777 0.0845 -0.0014 -0.0051 -0.1707
30-Sep-76 0.0759 0.0838 0.0245 0.0226 0.1176
29-Oct-76 0.0741 0.0832 -0.0204 -0.0222 -0.1842
30-Nov-76 0.0729 0.0825 0.0054 -0.0078 0.0000
31-Dec-76 0.0687 0.0798 0.0616 0.0525 -0.0968
31-Jan-77 0.0721 0.0796 -0.0363 -0.0505 0.0714
28-Feb-77 0.0739 0.0804 -0.0157 -0.0217 0.2000
31-Mar-77 0.0746 0.081 -0.0092 -0.0140 0.2222
29-Apr-77 0.0737 0.0804 0.0050 0.0002 -0.0682
31-May-77 0.0746 0.0805 -0.0108 -0.0236 0.0000
30-Jun-77 0.0728 0.0795 0.0514 0.0454 -0.1220
29-Jul-77 0.0733 0.0794 -0.0128 -0.0162 0.1667
31-Aug-77 0.074 0.0798 -0.0133 -0.0210 -0.0952
30-Sep-77 0.0734 0.0792 0.0016 -0.0025 -0.1053
31-Oct-77 0.0752 0.0804 -0.0393 -0.0434 0.0588
30-Nov-77 0.0758 0.0808 0.0454 0.0270 -0.1111
30-Dec-77 0.0769 0.0819 0.0082 0.0028 -0.0938
31-Jan-78 0.0796 0.0841 -0.0552 -0.0615 -0.0345
28-Feb-78 0.0803 0.0847 -0.0093 -0.0248 0.0357
31-Mar-78 0.0804 0.0847 0.0340 0.0249 0.2414
28-Apr-78 0.0815 0.0856 0.0829 0.0854 0.1667
31-May-78 0.0835 0.0869 0.0232 0.0042 0.3810
30-Jun-78 0.0846 0.0876 -0.0107 -0.0176 0.1724
31-Jul-78 0.0864 0.0888 0.0567 0.0539 0.0588
31-Aug-78 0.0841 0.0869 0.0424 0.0259 0.0833
29-Sep-78 0.0842 0.0869 -0.0069 -0.0073 0.0769
31-Oct-78 0.0864 0.0889 -0.1110 -0.0916 -0.3571
30-Nov-78 0.0881 0.0903 0.0338 0.0166 0.0000
29-Dec-78 0.0901 0.0916 0.0177 0.0149 0.0926
31-Jan-79 0.091 0.0925 0.0495 0.0397 0.2203
28-Feb-79 0.091 0.0926 -0.0268 -0.0365 0.0833
30-Mar-79 0.0912 0.0937 0.0656 0.0552 0.1795
30-Apr-79 0.0918 0.0938 0.0085 0.0017 0.1087
31-May-79 0.0925 0.095 -0.0136 -0.0263 0.1961
29-Jun-79 0.0891 0.0929 0.0469 0.0387 0.2295
31-Jul-79 0.0895 0.092 0.0150 0.0087 -0.0333
31-Aug-79 0.0903 0.0923 0.0647 0.0531 0.2690
28-Sep-79 0.0933 0.0944 0.0014 0.0000 0.1739
31-Oct-79 0.103 0.1013 -0.0727 -0.0686 -0.1296
30-Nov-79 0.1065 0.1076 0.0636 0.0426 0.1383
31-Dec-79 0.1039 0.1074 0.0282 0.0168 0.1495
31-Jan-80 0.108 0.1109 0.0656 0.0576 0.1748
29-Feb-80 0.1241 0.1238 0.0010 -0.0044 -0.0069
31-Mar-80 0.1275 0.1296 -0.1202 -0.1018 -0.2265
30-Apr-80 0.1147 0.1204 0.0523 0.0411 0.0338
30-May-80 0.1018 0.1099 0.0601 0.0466 0.1176
30-Jun-80 0.0978 0.1058 0.0377 0.0270 -0.0585
31-Jul-80 0.1025 0.1107 0.0694 0.0650 0.4099
29-Aug-80 0.111 0.1164 0.0236 0.0058 0.0881
30-Sep-80 0.1151 0.1202 0.0295 0.0252 0.0243
31-Oct-80 0.1175 0.1231 0.0201 0.0160 0.1067
28-Nov-80 0.1268 0.1297 0.1050 0.1024 0.2964
31-Dec-80 0.1284 0.1321 -0.0344 -0.0339 -0.0826
30-Jan-81 0.1257 0.1281 -0.0401 -0.0457 -0.1712
27-Feb-81 0.1319 0.1335 0.0155 0.0133 -0.1033
31-Mar-81 0.1312 0.1333 0.0462 0.0360 0.1333
30-Apr-81 0.1368 0.1388 -0.0113 -0.0235 0.2086
29-May-81 0.141 0.1432 0.0135 -0.0017 0.1593
30-Jun-81 0.1347 0.1375 -0.0102 -0.0104 -0.2519
31-Jul-81 0.1428 0.1438 -0.0031 -0.0022 -0.1735
31-Aug-81 0.1494 0.1489 -0.0563 -0.0621 -0.1975
30-Sep-81 0.1532 0.1549 -0.0638 -0.0538 -0.0615
30-Oct-81 0.1515 0.154 0.0602 0.0491 0.1066
30-Nov-81 0.1339 0.1422 0.0458 0.0366 -0.0963
31-Dec-81 0.1372 0.1423 -0.0281 -0.0301 -0.0656
29-Jan-82 0.1459 0.1518 -0.0262 -0.0175 0.1754
26-Feb-82 0.1443 0.1527 -0.0511 -0.0605 -0.1716
31-Mar-82 0.1386 0.1458 -0.0101 -0.0102 -0.0090
30-Apr-82 0.1387 0.1446 0.0433 0.0400 0.1636
28-May-82 0.1362 0.1426 -0.0282 -0.0392 -0.0156
30-Jun-82 0.143 0.1481 -0.0239 -0.0203 -0.0635
30-Jul-82 0.1395 0.1461 -0.0205 -0.0230 0.0508
31-Aug-82 0.1306 0.1371 0.1190 0.1160 0.0403
30-Sep-82 0.1234 0.1294 0.0168 0.0076 0.0465
29-Oct-82 0.1091 0.1212 0.1186 0.1104 0.3259
30-Nov-82 0.1055 0.1168 0.0519 0.0361 -0.0223
31-Dec-82 0.1054 0.1183 0.0145 0.0152 0.0514
31-Jan-83 0.1046 0.1179 0.0418 0.0331 0.3043
28-Feb-83 0.1072 0.1201 0.0302 0.0190 0.1000
31-Mar-83 0.1051 0.1173 0.0347 0.0331 -0.0303
29-Apr-83 0.104 0.1151 0.0742 0.0749 0.0234
31-May-83 0.1038 0.1146 0.0132 -0.0123 0.2366
30-Jun-83 0.1085 0.1174 0.0378 0.0352 0.1111
29-Jul-83 0.1138 0.1215 -0.0316 -0.0330 -0.0556
31-Aug-83 0.1185 0.1251 0.0035 0.0113 -0.1000
30-Sep-83 0.1165 0.1237 0.0160 0.0102 0.0980
31-Oct-83 0.1154 0.1225 -0.0281 -0.0152 -0.1369
30-Nov-83 0.1169 0.1241 0.0296 0.0174 -0.0966
30-Dec-83 0.1183 0.1257 -0.0105 -0.0088 0.1756
31-Jan-84 0.1167 0.122 -0.0130 -0.0092 -0.2013
29-Feb-84 0.1184 0.1208 -0.0391 -0.0389 -0.0244
30-Mar-84 0.1232 0.1257 0.0134 0.0135 0.0333
30-Apr-84 0.1263 0.1281 0.0025 0.0055 -0.0242
31-May-84 0.1341 0.1328 -0.0523 -0.0594 -0.0744
29-Jun-84 0.1356 0.1355 0.0234 0.0175 0.1071
31-Jul-84 0.1336 0.1344 -0.0206 -0.0165 -0.1452
31-Aug-84 0.1272 0.1287 0.1127 0.1063 0.3302
28-Sep-84 0.1252 0.1266 0.0004 -0.0035 -0.1702
31-Oct-84 0.1216 0.1263 -0.0001 -0.0001 -0.1795
30-Nov-84 0.1157 0.1229 -0.0107 -0.0151 0.0000
31-Dec-84 0.115 0.1213 0.0237 0.0224 0.1250
31-Jan-85 0.1138 0.1208 0.0857 0.0741 0.2963
28-Feb-85 0.1151 0.1213 0.0169 0.0087 -0.1571
29-Mar-85 0.1186 0.1256 -0.0017 -0.0029 -0.0678
30-Apr-85 0.1143 0.1223 -0.0022 -0.0046 -0.1636
31-May-85 0.1085 0.1172 0.0558 0.0541 0.1087
28-Jun-85 0.1016 0.1094 0.0171 0.0121 -0.1765
31-Jul-85 0.1031 0.1097 -0.0003 -0.0048 0.1905
30-Aug-85 0.1033 0.1105 -0.0048 -0.0120 -0.1200
30-Sep-85 0.1037 0.1107 -0.0398 -0.0347 -0.1364
31-Oct-85 0.1024 0.1102 0.0444 0.0425 0.0526
29-Nov-85 0.0978 0.1055 0.0692 0.0651 0.1375
31-Dec-85 0.0926 0.1016 0.0431 0.0451 -0.0879
31-Jan-86 0.0919 0.1005 0.0098 0.0024 0.1325
28-Feb-86 0.087 0.0967 0.0725 0.0715 0.2447
31-Mar-86 0.0778 0.09 0.0539 0.0528 -0.0684
30-Apr-86 0.073 0.0879 -0.0079 -0.0141 0.1651
30-May-86 0.0771 0.0909 0.0508 0.0502 -0.0866
30-Jun-86 0.078 0.0913 0.0142 0.0141 -0.2069
31-Jul-86 0.073 0.0888 -0.0597 -0.0587 -0.1957
29-Aug-86 0.0717 0.0872 0.0662 0.0712 0.1622
30-Sep-86 0.0745 0.0889 -0.0790 -0.0854 -0.1163
31-Oct-86 0.0743 0.0886 0.0493 0.0547 0.0789
28-Nov-86 0.0725 0.0868 0.0151 0.0215 -0.0488
31-Dec-86 0.0711 0.0849 -0.0264 -0.0283 -0.0256
30-Jan-87 0.0708 0.0836 0.1285 0.1318 0.3947
27-Feb-87 0.0725 0.0838 0.0479 0.0369 0.2453
31-Mar-87 0.0725 0.0836 0.0237 0.0264 0.0303
30-Apr-87 0.0802 0.0885 -0.0170 -0.0115 0.3529
29-May-87 0.0861 0.0933 0.0051 0.0060 0.0054
30-Jun-87 0.084 0.0932 0.0437 0.0479 -0.1459
31-Jul-87 0.0845 0.0942 0.0442 0.0482 0.1772
31-Aug-87 0.0876 0.0967 0.0371 0.0350 0.3118
30-Sep-87 0.0942 0.1018 -0.0208 -0.0242 -0.0410
30-Oct-87 0.0952 0.1052 -0.2254 -0.2176 -0.4701
30-Nov-87 0.0886 0.1001 -0.0723 -0.0853 -0.0645
31-Dec-87 0.0899 0.1011 0.0703 0.0729 0.3448
29-Jan-88 0.0867 0.0988 0.0449 0.0404 -0.0513
29-Feb-88 0.0821 0.094 0.0517 0.0418 0.4189
31-Mar-88 0.0837 0.0939 -0.0166 -0.0333 -0.0286
29-Apr-88 0.0872 0.0967 0.0110 0.0094 0.1373
31-May-88 0.0909 0.099 0.0004 0.0032 -0.0172
30-Jun-88 0.0892 0.0986 0.0515 0.0433 0.2105
29-Jul-88 0.0906 0.0996 -0.0073 -0.0054 -0.1087
31-Aug-88 0.0926 0.1011 -0.0280 -0.0386 -0.0813
30-Sep-88 0.0898 0.0982 0.0372 0.0397 -0.0354
31-Oct-88 0.088 0.0951 0.0176 0.0260 -0.1835
30-Nov-88 0.0896 0.0945 -0.0164 -0.0189 -0.1742
30-Dec-88 0.0911 0.0957 0.0211 0.0147 0.2109
31-Jan-89 0.0909 0.0962 0.0661 0.0711 0.1685
28-Feb-89 0.0917 0.0964 -0.0164 -0.0289 -0.0962
31-Mar-89 0.0936 0.098 0.0215 0.0208 0.0106
28-Apr-89 0.0918 0.0979 0.0482 0.0501 0.1684
31-May-89 0.0886 0.0957 0.0393 0.0351 0.1351
30-Jun-89 0.0828 0.091 -0.0049 -0.0079 -0.1825
31-Jul-89 0.0802 0.0893 0.0771 0.0884 -0.0388
31-Aug-89 0.0811 0.0896 0.0221 0.0155 -0.0101
29-Sep-89 0.0819 0.0901 -0.0015 -0.0065 0.0918
31-Oct-89 0.0801 0.0892 -0.0293 -0.0252 -0.0467
30-Nov-89 0.0787 0.0889 0.0178 0.0165 0.0196
29-Dec-89 0.0784 0.0886 0.0183 0.0214 0.0962
31-Jan-90 0.0821 0.0899 -0.0701 -0.0688 -0.0439
28-Feb-90 0.0847 0.0922 0.0149 0.0085 -0.0459
30-Mar-90 0.0859 0.0937 0.0241 0.0243 0.0962
30-Apr-90 0.0879 0.0946 -0.0283 -0.0269 -0.0482
31-May-90 0.0876 0.0947 0.0889 0.0920 0.3733
29-Jun-90 0.0848 0.0926 -0.0042 -0.0089 0.0201
31-Jul-90 0.0847 0.0924 -0.0094 -0.0052 -0.0855
31-Aug-90 0.0875 0.0941 -0.0919 -0.0943 -0.2158
28-Sep-90 0.0889 0.0956 -0.0538 -0.0512 -0.1560
31-Oct-90 0.0872 0.0953 -0.0125 -0.0067 -0.2391
30-Nov-90 0.0839 0.093 0.0657 0.0599 0.0429
31-Dec-90 0.0808 0.0905 0.0295 0.0248 0.1781
31-Jan-91 0.0809 0.0904 0.0491 0.0415 0.3721
28-Feb-91 0.0785 0.0883 0.0758 0.0673 0.0000
28-Mar-91 0.0811 0.0893 0.0289 0.0222 0.0085
30-Apr-91 0.0804 0.0886 0.0033 0.0003 0.0504
31-May-91 0.0807 0.0886 0.0407 0.0386 0.0720
28-Jun-91 0.0828 0.0901 -0.0440 -0.0479 -0.1493
31-Jul-91 0.0827 0.09 0.0468 0.0449 0.1404
30-Aug-91 0.079 0.0875 0.0268 0.0196 -0.0846
30-Sep-91 0.0765 0.0861 -0.0110 -0.0191 -0.1176
31-Oct-91 0.0753 0.0855 0.0178 0.0119 -0.0762
29-Nov-91 0.0742 0.0848 -0.0373 -0.0439 0.1134
31-Dec-91 0.0709 0.0831 0.1068 0.1116 0.3056
31-Jan-92 0.0703 0.082 -0.0012 -0.0199 0.0887
28-Feb-92 0.0734 0.0829 0.0134 0.0096 0.1336
31-Mar-92 0.0754 0.0835 -0.0237 -0.0218 -0.0833
30-Apr-92 0.0748 0.0833 0.0134 0.0279 -0.0721
29-May-92 0.0739 0.0828 0.0064 0.0010 0.2162
30-Jun-92 0.0726 0.0822 -0.0193 -0.0174 -0.1111
31-Jul-92 0.0684 0.0807 0.0399 0.0394 0.1000
31-Aug-92 0.0659 0.0795 -0.0208 -0.0240 0.0682
30-Sep-92 0.0642 0.0792 0.0125 0.0091 0.1596
30-Oct-92 0.0659 0.0799 0.0110 0.0021 0.0826
30-Nov-92 0.0687 0.081 0.0402 0.0303 0.2288
31-Dec-92 0.0677 0.0798 0.0177 0.0101 -0.0690
29-Jan-93 0.066 0.0791 0.0126 0.0070 0.0370
26-Feb-93 0.0626 0.0771 0.0054 0.0105 0.1500
31-Mar-93 0.0598 0.0758 0.0251 0.0187 0.0683
30-Apr-93 0.0597 0.0746 -0.0254 -0.0254 -0.0087
28-May-93 0.0604 0.0743 0.0296 0.0227 0.2141
30-Jun-93 0.0596 0.0733 0.0054 0.0008 0.0435
30-Jul-93 0.0581 0.0717 -0.0008 -0.0053 0.2222
31-Aug-93 0.0568 0.0685 0.0395 0.0344 0.0871
30-Sep-93 0.0536 0.0666 0.0006 -0.0100 -0.0035
29-Oct-93 0.0533 0.0667 0.0181 0.0194 -0.1189
30-Nov-93 0.0572 0.0693 -0.0176 -0.0129 0.1190
31-Dec-93 0.0577 0.0693 0.0196 0.0101 0.0993
31-Jan-94 0.0575 0.0692 0.0315 0.0325 0.1387
28-Feb-94 0.0597 0.0708 -0.0242 -0.0300 0.0765
31-Mar-94 0.0648 0.0748 -0.0458 -0.0457 -0.0632
29-Apr-94 0.0697 0.0788 0.0095 0.0115 0.0000
31-May-94 0.0718 0.0799 0.0094 0.0124 -0.0197
30-Jun-94 0.071 0.0797 -0.0279 -0.0268 -0.0201
29-Jul-94 0.073 0.0811 0.0307 0.0315 0.0468
31-Aug-94 0.0724 0.0807 0.0426 0.0376 0.1285
30-Sep-94 0.0746 0.0834 -0.0183 -0.0269 -0.0743
31-Oct-94 0.0774 0.0857 0.0145 0.0208 0.1123
30-Nov-94 0.0796 0.0868 -0.0372 -0.0395 -0.0793
30-Dec-94 0.0781 0.0846 0.0126 0.0123 -0.1175
31-Jan-95 0.0778 0.0846 0.0204 0.0243 -0.0888
28-Feb-95 0.0747 0.0826 0.0396 0.0361 0.1981
31-Mar-95 0.072 0.0812 0.0271 0.0273 0.1951
28-Apr-95 0.0706 0.0803 0.0250 0.0280 0.1179
31-May-95 0.0663 0.0765 0.0339 0.0363 0.2495
30-Jun-95 0.0617 0.073 0.0311 0.0213 0.1250
31-Jul-95 0.0628 0.0741 0.0408 0.0318 0.1948
31-Aug-95 0.0649 0.0757 0.0093 -0.0003 0.0048
29-Sep-95 0.062 0.0732 0.0364 0.0401 -0.0168
31-Oct-95 0.0604 0.0712 -0.0113 -0.0050 -0.0196
30-Nov-95 0.0593 0.0702 0.0428 0.0410 -0.0299
29-Dec-95 0.0571 0.0682 0.0152 0.0174 -0.1902
31-Jan-96 0.0565 0.0681 0.0281 0.0326 -0.0603
29-Feb-96 0.0581 0.0699 0.0164 0.0069 -0.0338
29-Mar-96 0.0627 0.0735 0.0109 0.0079 -0.0245
30-Apr-96 0.0651 0.075 0.0256 0.0134 0.1470
31-May-96 0.0674 0.0762 0.0268 0.0229 -0.0688
28-Jun-96 0.0691 0.0771 -0.0083 0.0023 -0.1812
31-Jul-96 0.0687 0.0765 -0.0538 -0.0457 -0.2172
30-Aug-96 0.0664 0.0746 0.0325 0.0188 0.0157
30-Sep-96 0.0683 0.0766 0.0530 0.0542 0.1392
31-Oct-96 0.0653 0.0739 0.0137 0.0261 -0.0430
29-Nov-96 0.062 0.071 0.0656 0.0734 0.4421
31-Dec-96 0.063 0.072 -0.0114 -0.0215 -0.0574
31-Jan-97 0.0658 0.0742 0.0534 0.0613 0.3739
28-Feb-97 0.0642 0.0731 -0.0011 0.0059 0.0253
31-Mar-97 0.0669 0.0755 -0.0449 -0.0426 -0.0840
30-Apr-97 0.0689 0.0773 0.0424 0.0584 0.1833
30-May-97 0.0671 0.0758 0.0716 0.0586 0.1891
30-Jun-97 0.0649 0.0741 0.0441 0.0435 0.0852
31-Jul-97 0.0622 0.0714 0.0765 0.0781 0.2974
29-Aug-97 0.063 0.0722 -0.0363 -0.0574 0.0272
30-Sep-97 0.0621 0.0715 0.0585 0.0532 0.0093
31-Oct-97 0.0603 0.07 -0.0344 -0.0345 -0.2992
28-Nov-97 0.0588 0.0687 0.0304 0.0446 -0.0112
31-Dec-97 0.0581 0.0676 0.0178 0.0157 -0.0871
30-Jan-98 0.0554 0.0661 0.0045 0.0102 0.0892
27-Feb-98 0.0557 0.0667 0.0733 0.0704 0.1219
31-Mar-98 0.0565 0.0672 0.0513 0.0499 -0.0407
30-Apr-98 0.0564 0.0669 0.0109 0.0091 0.0230
29-May-98 0.0565 0.0669 -0.0257 -0.0188 -0.1142
30-Jun-98 0.055 0.0653 0.0318 0.0394 -0.0781
31-Jul-98 0.0546 0.0655 -0.0234 -0.0116 0.1356
31-Aug-98 0.0534 0.0652 -0.1579 -0.1458 -0.2668
30-Sep-98 0.0481 0.064 0.0638 0.0624 0.0280
30-Oct-98 0.0453 0.0637 0.0744 0.0803 0.3738
30-Nov-98 0.0483 0.0641 0.0620 0.0591 0.1171
31-Dec-98 0.0465 0.0622 0.0631 0.0564 0.1016
29-Jan-99 0.0472 0.0624 0.0384 0.0410 0.4802
26-Feb-99 0.05 0.064 -0.0381 -0.0323 -0.1197
31-Mar-99 0.0523 0.0662 0.0379 0.0388 0.1090
30-Apr-99 0.0518 0.0664 0.0491 0.0379 -0.1307
28-May-99 0.0554 0.0693 -0.0207 -0.0250 0.0256
30-Jun-99 0.059 0.0723 0.0508 0.0544 0.3432
30-Jul-99 0.0579 0.0719 -0.0308 -0.0320 -0.0262
31-Aug-99 0.0594 0.074 -0.0099 -0.0063 -0.0122
30-Sep-99 0.0592 0.0739 -0.0227 -0.0286 0.0932
29-Oct-99 0.0611 0.0755 0.0621 0.0625 0.1561
30-Nov-99 0.0603 0.0736 0.0368 0.0191 0.0849
31-Dec-99 0.0628 0.0755 0.0837 0.0578 0.3002
31-Jan-00 0.0666 0.0778 -0.0396 -0.0509 0.0834
29-Feb-00 0.0652 0.0768 0.0318 -0.0201 0.3329
31-Mar-00 0.0626 0.0768 0.0535 0.0967 0.0304
28-Apr-00 0.0599 0.0764 -0.0595 -0.0308 0.0802
31-May-00 0.0644 0.0799 -0.0389 -0.0219 -0.1799
30-Jun-00 0.061 0.0767 0.0516 0.0239 0.0853
31-Jul-00 0.0605 0.0765 -0.0177 -0.0163 -0.1628
31-Aug-00 0.0583 0.0755 0.0750 0.0607 0.1376
29-Sep-00 0.058 0.0762 -0.0512 -0.0535 -0.3128
31-Oct-00 0.0574 0.0755 -0.0245 -0.0049 -0.1043
30-Nov-00 0.0572 0.0745 -0.1024 -0.0801 -0.2388
29-Dec-00 0.0524 0.0721 0.0204 0.0041 -0.0556
31-Jan-01 0.0516 0.0715 0.0396 0.0346 0.3175
28-Feb-01 0.051 0.071 -0.0991 -0.0923 -0.1602
30-Mar-01 0.0489 0.0698 -0.0704 -0.0642 0.0296
30-Apr-01 0.0514 0.072 0.0838 0.0768 0.2552
31-May-01 0.0539 0.0729 0.0105 0.0051 -0.0855
29-Jun-01 0.0528 0.0718 -0.0176 -0.0250 -0.0166
31-Jul-01 0.0524 0.0713 -0.0183 -0.0108 -0.0660
31-Aug-01 0.0497 0.0702 -0.0590 -0.0641 -0.0604
28-Sep-01 0.0473 0.0717 -0.0915 -0.0817 -0.3400
31-Oct-01 0.0457 0.0703 0.0278 0.0181 0.1994
30-Nov-01 0.0465 0.0697 0.0788 0.0752 0.1651
31-Dec-01 0.0509 0.0677 0.0179 0.0076 0.0091
31-Jan-02 0.0504 0.0655 -0.0160 -0.0156 0.0885
28-Feb-02 0.0491 0.0651 -0.0217 -0.0208 -0.0041
28-Mar-02 0.0528 0.0681 0.0447 0.0367 0.2484
30-Apr-02 0.0521 0.0676 -0.0496 -0.0614 -0.1037
31-May-02 0.0516 0.0675 -0.0105 -0.0091 -0.0880
28-Jun-02 0.0493 0.0663 -0.0703 -0.0725 -0.1425
31-Jul-02 0.0465 0.0653 -0.0811 -0.0790 -0.2182
30-Aug-02 0.0426 0.0637 0.0079 0.0049 -0.1015
30-Sep-02 0.0387 0.0615 -0.0999 -0.1100 -0.1355
31-Oct-02 0.0394 0.0632 0.0749 0.0864 0.3013
29-Nov-02 0.0405 0.0631 0.0613 0.0571 0.1344
31-Dec-02 0.0403 0.0621 -0.0533 -0.0603 -0.2358
31-Jan-03 0.0405 0.0617 -0.0234 -0.0274 -0.0814
28-Feb-03 0.039 0.0595 -0.0154 -0.0170 0.0844
31-Mar-03 0.0381 0.0589 0.0103 0.0084 -0.0308
30-Apr-03 0.0396 0.0574 0.0828 0.0810 0.1622
30-May-03 0.0357 0.0522 0.0635 0.0509 0.0643
30-Jun-03 0.0333 0.0497 0.0163 0.0113 0.0180
31-Jul-03 0.0398 0.0549 0.0231 0.0162 0.2285
29-Aug-03 0.0445 0.0588 0.0250 0.0179 0.1115
30-Sep-03 0.0427 0.0572 -0.0091 -0.0119 -0.1618
31-Oct-03 0.0429 0.057 0.0604 0.0550 0.2868
28-Nov-03 0.043 0.0565 0.0166 0.0071 0.0390
31-Dec-03 0.0427 0.0562 0.0455 0.0508 -0.0743
30-Jan-04 0.0415 0.0554 0.0230 0.0173 -0.0334
27-Feb-04 0.0408 0.055 0.0154 0.0122 -0.0203
31-Mar-04 0.0383 0.0533 -0.0107 -0.0164 0.0038
30-Apr-04 0.0435 0.0573 -0.0242 -0.0168 -0.1435
28-May-04 0.0472 0.0604 0.0141 0.0121 0.0930
30-Jun-04 0.0473 0.0601 0.0216 0.0180 -0.0175
30-Jul-04 0.045 0.0582 -0.0377 -0.0343 -0.1351
31-Aug-04 0.0428 0.0565 0.0027 0.0023 -0.0636
30-Sep-04 0.0413 0.0546 0.0206 0.0094 0.0378
29-Oct-04 0.041 0.0547 0.0178 0.0140 -0.0237
30-Nov-04 0.0419 0.0552 0.0482 0.0386 0.0335
31-Dec-04 0.0423 0.0547 0.0352 0.0325 0.0276
31-Jan-05 0.0422 0.0536 -0.0265 -0.0253 -0.0702
28-Feb-05 0.0417 0.052 0.0226 0.0189 0.0975
31-Mar-05 0.045 0.054 -0.0169 -0.0191 -0.0688
29-Apr-05 0.0434 0.0533 -0.0252 -0.0201 -0.0849
31-May-05 0.0414 0.0515 0.0380 0.0300 0.1063
30-Jun-05 0.04 0.0496 0.0115 -0.0001 -0.0146
29-Jul-05 0.0418 0.0506 0.0434 0.0360 0.1422
31-Aug-05 0.0426 0.0509 -0.0060 -0.0112 -0.0070
30-Sep-05 0.042 0.0513 0.0106 0.0069 -0.0742
31-Oct-05 0.0446 0.0535 -0.0209 -0.0177 -0.0354
30-Nov-05 0.0454 0.0542 0.0403 0.0352 0.1088
30-Dec-05 0.0447 0.0537 0.0035 -0.0010 -0.0094
31-Jan-06 0.0442 0.0529 0.0401 0.0255 0.0619
28-Feb-06 0.0457 0.0535 -0.0016 0.0005 -0.0367
31-Mar-06 0.0472 0.0553 0.0191 0.0111 -0.0442
28-Apr-06 0.0499 0.0584 0.0130 0.0122 0.0251
31-May-06 0.0511 0.0595 -0.0310 -0.0309 -0.0552
30-Jun-06 0.0511 0.0589 -0.0004 0.0001 -0.0373
31-Jul-06 0.0509 0.0585 -0.0019 0.0051 -0.0319
31-Aug-06 0.0488 0.0568 0.0250 0.0213 0.0755
29-Sep-06 0.0472 0.0551 0.0194 0.0246 0.0491
31-Oct-06 0.0473 0.0551 0.0372 0.0315 -0.0192
30-Nov-06 0.046 0.0533 0.0237 0.0165 0.0385
29-Dec-06 0.0456 0.0532 0.0109 0.0126 0.0244
31-Jan-07 0.0476 0.054 0.0194 0.0141 -0.0390
28-Feb-07 0.0472 0.0539 -0.0140 -0.0218 0.0502
30-Mar-07 0.0456 0.053 0.0130 0.0100 -0.0135
30-Apr-07 0.0469 0.0547 0.0398 0.0433 0.0491
31-May-07 0.0475 0.0547 0.0390 0.0325 -0.0031
29-Jun-07 0.051 0.0579 -0.0147 -0.0178 0.0403
31-Jul-07 0.05 0.0573 -0.0318 -0.0320 0.1092
31-Aug-07 0.0467 0.0579 0.0116 0.0129 -0.0281
28-Sep-07 0.0452 0.0574 0.0408 0.0358 -0.0309
31-Oct-07 0.0453 0.0566 0.0259 0.0148 -0.0618
30-Nov-07 0.0415 0.0544 -0.0494 -0.0440 -0.0273
31-Dec-07 0.041 0.0549 -0.0044 -0.0086 -0.0568
31-Jan-08 0.0374 0.0533 -0.0622 -0.0612 0.0090
29-Feb-08 0.0374 0.0553 -0.0217 -0.0348 0.0731
31-Mar-08 0.0351 0.0551 -0.0104 -0.0060 0.0177
30-Apr-08 0.0368 0.0555 0.0512 0.0475 -0.0436
30-May-08 0.0388 0.0557 0.0239 0.0107 0.0648
30-Jun-08 0.041 0.0568 -0.0784 -0.0860 -0.0363
31-Jul-08 0.0401 0.0567 -0.0134 -0.0099 -0.0927
29-Aug-08 0.0389 0.0564 0.0106 0.0122 0.0381
30-Sep-08 0.0369 0.0565 -0.0982 -0.0908 -0.1557
31-Oct-08 0.0381 0.0628 -0.1848 -0.1694 -0.1467
28-Nov-08 0.0353 0.0612 -0.0847 -0.0748 -0.2533
31-Dec-08 0.0242 0.0505 0.0222 0.0078 0.0574
30-Jan-09 0.0252 0.0505 -0.0775 -0.0857 -0.0750
27-Feb-09 0.0287 0.0527 -0.1002 -0.1099 -0.0107
31-Mar-09 0.0282 0.055 0.0868 0.0854 0.1672
30-Apr-09 0.0293 0.0539 0.1095 0.0939 0.1358
29-May-09 0.0329 0.0554 0.0678 0.0531 -0.0729
30-Jun-09 0.0372 0.0561 -0.0030 0.0002 -0.0222
31-Jul-09 0.0356 0.0541 0.0818 0.0741 0.2534
31-Aug-09 0.0359 0.0526 0.0315 0.0336 -0.0406
30-Sep-09 0.034 0.0513 0.0453 0.0357 0.0152
30-Oct-09 0.0339 0.0515 -0.0281 -0.0198 -0.0882
30-Nov-09 0.034 0.0519 0.0571 0.0574 0.0139
31-Dec-09 0.0359 0.0526 0.0285 0.0178 0.1324
29-Jan-10 0.0373 0.0526 -0.0372 -0.0370 -0.1263
26-Feb-10 0.0369 0.0535 0.0348 0.0285 0.0099
31-Mar-10 0.0373 0.0527 0.0637 0.0588 0.1003
30-Apr-10 0.0385 0.0529 0.0200 0.0148 0.0232
28-May-10 0.0342 0.0496 -0.0793 -0.0820 -0.0573
30-Jun-10 0.032 0.0488 -0.0508 -0.0539 -0.0697
30-Jul-10 0.0301 0.0472 0.0704 0.0688 -0.0183
31-Aug-10 0.027 0.0449 -0.0429 -0.0474 -0.1153
30-Sep-10 0.0265 0.0453 0.0917 0.0876 0.1263
29-Oct-10 0.0254 0.0468 0.0386 0.0369 0.0574
30-Nov-10 0.0276 0.0487 0.0051 -0.0023 0.0117
31-Dec-10 0.0329 0.0502 0.0672 0.0653 0.1308
31-Jan-11 0.0339 0.0504 0.0192 0.0226 0.1167
28-Feb-11 0.0358 0.0522 0.0382 0.0320 0.0516
31-Mar-11 0.0341 0.0513 0.0033 -0.0010 -0.0493
29-Apr-11 0.0346 0.0516 0.0286 0.0285 0.0045
31-May-11 0.0317 0.0496 -0.0150 -0.0135 -0.1166
30-Jun-11 0.03 0.0499 -0.0185 -0.0183 -0.0559
29-Jul-11 0.03 0.0493 -0.0226 -0.0215 -0.0530
31-Aug-11 0.023 0.0437 -0.0576 -0.0568 -0.0747
30-Sep-11 0.0198 0.0409 -0.0850 -0.0718 -0.0852
31-Oct-11 0.0215 0.0398 0.1142 0.1077 0.1898
30-Nov-11 0.0201 0.0387 -0.0063 -0.0051 -0.1185
30-Dec-11 0.0198 0.0393 0.0037 0.0085 -0.0065
31-Jan-12 0.0197 0.0385 0.0541 0.0436 0.1461
29-Feb-12 0.0197 0.0385 0.0413 0.0406 0.0045
30-Mar-12 0.0217 0.0399 0.0240 0.0313 0.0159
30-Apr-12 0.0205 0.0396 -0.0068 -0.0075 -0.0366
31-May-12 0.018 0.038 -0.0656 -0.0627 -0.1309
29-Jun-12 0.0162 0.0364 0.0382 0.0396 0.1079
31-Jul-12 0.0153 0.034 0.0103 0.0126 -0.0485
31-Aug-12 0.0168 0.0348 0.0263 0.0198 0.0817
28-Sep-12 0.0172 0.0349 0.0265 0.0242 -0.0449
31-Oct-12 0.0175 0.0347 -0.0141 -0.0198 -0.0506
30-Nov-12 0.0165 0.035 0.0062 0.0028 0.0208
31-Dec-12 0.0172 0.0365 0.0126 0.0071 0.0662
31-Jan-13 0.0191 0.038 0.0542 0.0504 0.1285
28-Feb-13 0.0198 0.039 0.0083 0.0111 0.0686
28-Mar-13 0.0196 0.0393 0.0353 0.0360 -0.0164
30-Apr-13 0.0176 0.0373 0.0149 0.0181 0.0764
31-May-13 0.0193 0.0389 0.0192 0.0208 0.0544
28-Jun-13 0.023 0.0427 -0.0151 -0.0150 -0.0184
31-Jul-13 0.0258 0.0434 0.0527 0.0495 0.0935
30-Aug-13 0.0274 0.0454 -0.0258 -0.0313 -0.0739
30-Sep-13 0.0281 0.0464 0.0375 0.0297 0.1680
31-Oct-13 0.0262 0.0453 0.0399 0.0446 0.0185
29-Nov-13 0.0272 0.0463 0.0250 0.0280 -0.0255
31-Dec-13 0.029 0.0462 0.0262 0.0236 0.0220
31-Jan-14 0.0286 0.0449 -0.0300 -0.0356 -0.0486
28-Feb-14 0.0271 0.0445 0.0462 0.0431 0.1332
31-Mar-14 0.0272 0.0438 0.0045 0.0069 0.0767
30-Apr-14 0.0271 0.0424 0.0016 0.0062 -0.0664
30-May-14 0.0256 0.0416 0.0203 0.0210 0.0645
30-Jun-14 0.026 0.0425 0.0280 0.0191 0.1169
31-Jul-14 0.0254 0.0416 -0.0206 -0.0151 -0.0705
29-Aug-14 0.0242 0.0408 0.0402 0.0377 0.1071
30-Sep-14 0.0253 0.0411 -0.0252 -0.0155 -0.0647
31-Oct-14 0.023 0.0392 0.0212 0.0232 0.0222
28-Nov-14 0.0233 0.0392 0.0211 0.0245 0.0933
31-Dec-14 0.0221 0.0379 -0.0037 -0.0042 0.0362
30-Jan-15 0.0188 0.0346 -0.0272 -0.0310 -0.0835
27-Feb-15 0.0198 0.0361 0.0560 0.0549 0.1011
31-Mar-15 0.0204 0.0364 -0.0104 -0.0174 -0.0994
30-Apr-15 0.0194 0.0352 0.0088 0.0085 -0.1228
29-May-15 0.022 0.0398 0.0103 0.0105 0.0222
30-Jun-15 0.0236 0.0419 -0.0192 -0.0210 -0.0452
31-Jul-15 0.0232 0.0415 0.0121 0.0197 -0.0968
31-Aug-15 0.0217 0.0404 -0.0600 -0.0626 -0.0677
30-Sep-15 0.0217 0.0407 -0.0338 -0.0264 -0.0867
30-Oct-15 0.0207 0.0395 0.0740 0.0830 0.1416
30-Nov-15 0.0226 0.0406 0.0024 0.0005 0.1252
31-Dec-15 0.0224 0.0397 -0.0222 -0.0175 -0.0053
29-Jan-16 0.0209 0.04 -0.0571 -0.0507 -0.0546
29-Feb-16 0.0178 0.0396 0.0006 -0.0041 0.0748
31-Mar-16 0.0189 0.0382 0.0706 0.0660 0.1224
29-Apr-16 0.0181 0.0362 0.0117 0.0027 -0.0335
31-May-16 0.0181 0.0365 0.0144 0.0153 0.1979
30-Jun-16 0.0164 0.035 0.0029 0.0009 -0.0184
29-Jul-16 0.015 0.0328 0.0388 0.0356 0.0968
31-Aug-16 0.0156 0.0332 0.0028 -0.0012 0.1388
30-Sep-16 0.0163 0.0341 0.0030 -0.0012 0.0104
31-Oct-16 0.0176 -0.0216 -0.0194 -0.0355
30-Nov-16 0.0214 0.0405 0.0342 0.1107
30-Dec-16 0.0249 0.0188 0.0182 0.0022
31-Jan-17 0.0243 0.0222 0.0179 0.0614
28-Feb-17 0.0242 0.0326 0.0372 0.0604
31-Mar-17 0.0248 0.0021 -0.0004 0.0740
28-Apr-17 0.023 0.0097 0.0091 0.0440
31-May-17 0.023 0.0093 0.0116 0.1322
30-Jun-17 0.0219 0.0096 0.0048 -0.0996
31-Jul-17 0.0232 0.0203 0.0193 0.0726
31-Aug-17 0.0221 0.0016 0.0005 0.0205
29-Sep-17 0.022 0.0238 0.0193 0.1545
31-Oct-17 0.0236 0.0193 0.0222 0.0833
30-Nov-17 0.0235 0.0273 0.0281 -0.0631
29-Dec-17 0.024 0.0121 0.0098 -0.0313
31-Jan-18 0.0258 0.0506 0.0562 0.0491
28-Feb-18 0.0286 -0.0395 -0.0389 0.0757
29-Mar-18 0.0284 -0.0184 -0.0269 -0.0344
30-Apr-18 0.0287 0.0047 0.0027 -0.1068
31-May-18 0.0298 0.0262 0.0216 0.0264
29-Jun-18 0.0291 0.0054 0.0048 -0.0904
31-Jul-18 0.0289 0.0316 0.0360 0.0528
31-Aug-18 0.0289 0.0302 0.0303 -0.1112
28-Sep-18 0.03 0.0004 0.0043 -0.1016
31-Oct-18 0.0315 -0.0740 -0.0694 -0.1493
30-Nov-18 0.0312 0.0185 0.0179 0.1399
31-Dec-18 0.0283 -0.0899 -0.0918 -0.1218
31-Jan-19 0.0271 0.0883 0.0787 0.1936
28-Feb-19 0.0268 0.0327 0.0297 -0.0138
29-Mar-19 0.0257 0.0130 0.0179 0.0344
30-Apr-19 0.0253 0.0379 0.0393 0.1112
31-May-19 0.024 -0.0617 -0.0658 -0.1173
28-Jun-19 0.0207 0.0673 0.0689 0.1608
31-Jul-19 0.0206 0.0119 0.0131 0.0993
30-Aug-19 0.0163 -0.0203 -0.0181 -0.0231
30-Sep-19 0.017 0.0160 0.0172 0.0392
31-Oct-19 0.0171 0.0193 0.0204 0.0874
29-Nov-19 0.0181 0.0350 0.0340 0.0710
31-Dec-19 0.0186 0.0285 0.0286 0.0542
31-Jan-20 0.0176 -0.0017 -0.0016 -0.0500
28-Feb-20 0.015 -0.0779 -0.0841 0.0059
31-Mar-20 0.0087 -0.1417 -0.1251 -0.2116
30-Apr-20 0.1297 0.1268 0.0842
29-May-20 0.0537 0.0453 0.1353
30-Jun-20 0.0253 0.0184 0.0760
31-Jul-20 0.0555 0.0551 0.0642
31-Aug-20 0.0684 0.0701 -0.0390
30-Sep-20 -0.0351 -0.0392 -0.0349
30-Oct-20 -0.0202 -0.0277 -0.0037
30-Nov-20 0.1237 0.1075 0.3963
31-Dec-20 0.0450 0.0371 0.0463
29-Jan-21 -0.0006 -0.0111 0.1203
26-Feb-21 0.0292 0.0261 0.2248
31-Mar-21 0.0306 0.0424 0.1304
30-Apr-21 0.0482 0.

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A First Course In Fuzzy Logic

A First Course In Fuzzy Logic

Authors: Hung T Nguyen, Carol L Walker, Elbert A Walker

4th Edition

0429012608, 9780429012600

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