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Investor utility is represented by: U = E(R) A2 . There are two investors with different risk aversion coefficients (A). Angela has a risk aversion
Investor utility is represented by: U = E(R) A2 . There are two investors with different risk aversion coefficients (A). Angela has a risk aversion coefficient of 6 and Boris has a risk aversion coefficient of 2. Calculate the expected utility for both investors if they invested solely in each industry. Which industries does each investor prefer? What are the reasons for their preference?
Date | COND | CONS | ENGY | HC | INDU | IT | MATL | TELE | UTIL | FIN | RE |
31/01/2017 | -0.0430 | -0.0104 | 0.0072 | 0.0456 | -0.0441 | -0.0418 | 0.0477 | -0.0168 | 0.0108 | -0.0205 | -0.0460 |
28/02/2017 | 0.0151 | 0.0602 | -0.0213 | 0.0390 | 0.0341 | 0.0185 | -0.0319 | -0.0314 | 0.0307 | 0.0413 | 0.0433 |
31/03/2017 | 0.0473 | 0.0547 | 0.0433 | 0.0560 | 0.0435 | 0.0363 | 0.0022 | 0.0028 | 0.0628 | 0.0389 | 0.0095 |
28/04/2017 | 0.0070 | -0.0253 | -0.0055 | 0.0340 | 0.0409 | 0.0352 | -0.0025 | -0.0948 | 0.0308 | 0.0191 | 0.0249 |
31/05/2017 | -0.0032 | -0.0044 | 0.0152 | -0.0238 | 0.0469 | 0.0022 | -0.0024 | 0.0338 | 0.0100 | -0.0771 | -0.0075 |
30/06/2017 | 0.0087 | -0.0243 | -0.0684 | 0.0608 | -0.0025 | 0.0188 | 0.0063 | -0.0166 | -0.0269 | 0.0167 | -0.0413 |
31/07/2017 | -0.0063 | 0.0097 | 0.0062 | -0.0750 | -0.0274 | -0.0049 | 0.0348 | -0.0421 | -0.0528 | 0.0125 | -0.0017 |
31/08/2017 | -0.0154 | 0.0517 | 0.0518 | 0.0025 | 0.0457 | 0.0099 | 0.0452 | -0.0720 | 0.0322 | -0.0212 | 0.0137 |
29/09/2017 | -0.0006 | -0.0187 | 0.0112 | 0.0227 | -0.0111 | 0.0060 | -0.0138 | -0.0446 | -0.0364 | 0.0111 | 0.0119 |
31/10/2017 | 0.0544 | 0.0534 | 0.0641 | 0.0548 | 0.0418 | 0.0844 | 0.0444 | 0.0235 | 0.0496 | 0.0326 | 0.0132 |
30/11/2017 | 0.0087 | 0.0324 | 0.0433 | 0.0296 | 0.0221 | 0.0450 | 0.0201 | -0.0158 | 0.0298 | 0.0000 | 0.0474 |
29/12/2017 | 0.0368 | 0.0167 | 0.0652 | -0.0048 | -0.0095 | 0.0294 | 0.0611 | 0.0546 | -0.0448 | 0.0042 | 0.0038 |
31/01/2018 | -0.0020 | 0.0021 | -0.0028 | 0.0311 | -0.0201 | 0.0249 | 0.0046 | 0.0077 | -0.0435 | -0.0074 | -0.0323 |
28/02/2018 | -0.0119 | 0.0210 | -0.0375 | 0.0696 | -0.0037 | 0.0166 | 0.0037 | -0.0620 | -0.0159 | 0.0064 | -0.0187 |
30/03/2018 | -0.0226 | -0.0135 | -0.0249 | -0.0332 | -0.0114 | -0.0219 | -0.0424 | -0.0620 | -0.0075 | -0.0585 | -0.0013 |
30/04/2018 | 0.0295 | 0.0574 | 0.1072 | 0.0719 | 0.0308 | 0.0276 | 0.0744 | 0.0194 | 0.0216 | 0.0011 | 0.0410 |
31/05/2018 | 0.0527 | 0.0000 | 0.0041 | 0.0545 | 0.0124 | 0.0203 | 0.0197 | -0.1005 | 0.0103 | -0.0006 | 0.0301 |
29/06/2018 | 0.0209 | 0.0594 | 0.0774 | 0.0250 | 0.0064 | 0.0590 | 0.0165 | -0.0549 | 0.0591 | 0.0399 | 0.0256 |
31/07/2018 | 0.0175 | -0.0088 | 0.0118 | 0.0223 | 0.0316 | -0.0112 | -0.0025 | 0.0759 | -0.0143 | 0.0204 | 0.0099 |
31/08/2018 | 0.0359 | 0.0264 | -0.0122 | 0.1042 | 0.0326 | 0.1221 | -0.0486 | 0.1302 | 0.0061 | 0.0005 | 0.0261 |
28/09/2018 | -0.0383 | -0.0267 | 0.0427 | -0.0730 | -0.0215 | -0.0065 | 0.0406 | 0.0266 | -0.0310 | -0.0222 | -0.0186 |
31/10/2018 | -0.0834 | -0.0490 | -0.1028 | -0.0725 | -0.0529 | -0.1137 | -0.0518 | -0.0744 | -0.0403 | -0.0602 | -0.0380 |
30/11/2018 | -0.0453 | -0.0292 | -0.1068 | -0.0397 | -0.0060 | 0.0099 | -0.0475 | -0.0314 | -0.0176 | 0.0141 | -0.0259 |
31/12/2018 | -0.0194 | 0.0120 | -0.0220 | 0.0272 | -0.0029 | -0.0408 | 0.0513 | -0.0505 | 0.0277 | -0.0313 | 0.0107 |
31/01/2019 | 0.0428 | 0.0273 | 0.1146 | 0.0391 | 0.0338 | 0.0882 | 0.0697 | 0.0766 | 0.0592 | -0.0025 | 0.0585 |
28/02/2019 | 0.0669 | -0.0139 | 0.0784 | 0.0133 | 0.0644 | 0.0748 | 0.0640 | 0.0435 | 0.0403 | 0.0907 | 0.0219 |
29/03/2019 | 0.0139 | 0.0368 | -0.0415 | 0.0131 | 0.0198 | 0.0255 | 0.0340 | 0.0377 | 0.0132 | -0.0262 | 0.0541 |
30/04/2019 | 0.0546 | 0.0733 | 0.0155 | 0.0314 | 0.0315 | 0.0735 | -0.0205 | 0.0244 | -0.0049 | 0.0440 | -0.0167 |
31/05/2019 | 0.0204 | -0.0416 | -0.0380 | 0.0354 | 0.0025 | -0.0312 | 0.0311 | 0.0715 | -0.0062 | 0.0262 | 0.0258 |
28/06/2019 | -0.0151 | 0.0292 | 0.0217 | 0.0442 | 0.0555 | 0.0105 | 0.0617 | 0.0224 | 0.0308 | 0.0342 | 0.0324 |
31/07/2019 | 0.0475 | 0.0959 | 0.0149 | 0.0596 | 0.0335 | 0.0511 | 0.0117 | 0.0276 | 0.0185 | 0.0177 | 0.0319 |
30/08/2019 | 0.0064 | 0.0010 | -0.0562 | 0.0343 | -0.0250 | 0.0067 | -0.0734 | -0.0321 | -0.0224 | -0.0258 | 0.0240 |
30/09/2019 | 0.0333 | 0.0174 | 0.0446 | -0.0215 | -0.0013 | 0.0011 | 0.0295 | -0.0285 | 0.0201 | 0.0423 | -0.0229 |
31/10/2019 | 0.0055 | -0.0224 | 0.0031 | 0.0727 | 0.0289 | -0.0319 | -0.0176 | -0.0139 | 0.0123 | -0.0288 | 0.0177 |
29/11/2019 | 0.0422 | 0.0810 | 0.0729 | 0.0881 | 0.0397 | 0.1055 | 0.0444 | 0.0722 | -0.0053 | -0.0201 | 0.0233 |
31/12/2019 | -0.0221 | -0.0775 | -0.0138 | -0.0266 | -0.0305 | -0.0389 | 0.0182 | -0.0546 | 0.0078 | -0.0156 | -0.0448 |
31/01/2020 | 0.0427 | 0.0781 | 0.0057 | 0.1201 | 0.0186 | 0.1024 | 0.0163 | 0.0765 | 0.0098 | 0.0474 | 0.0600 |
28/02/2020 | -0.0874 | -0.0740 | -0.1742 | -0.0395 | -0.0841 | -0.1631 | -0.1169 | -0.0878 | -0.0396 | -0.0492 | -0.0449 |
31/03/2020 | -0.2642 | -0.0355 | -0.3764 | -0.0564 | -0.2301 | -0.1758 | -0.1325 | -0.1536 | -0.0674 | -0.2770 | -0.3558 |
30/04/2020 | 0.1644 | 0.0259 | 0.2521 | 0.0487 | 0.1282 | 0.2184 | 0.1437 | 0.0484 | 0.0323 | 0.0289 | 0.1412 |
29/05/2020 | 0.0690 | -0.0049 | 0.0474 | -0.0510 | 0.0381 | 0.1431 | 0.0839 | 0.0852 | 0.0305 | 0.0535 | 0.0706 |
30/06/2020 | 0.0506 | 0.0475 | -0.0212 | 0.0339 | -0.0157 | 0.0370 | 0.0217 | -0.0032 | 0.0085 | 0.0434 | -0.0145 |
31/07/2020 | 0.0288 | 0.0323 | -0.0626 | -0.0384 | -0.0380 | 0.0484 | 0.0591 | 0.0350 | -0.0023 | -0.0102 | -0.0010 |
31/08/2020 | 0.0971 | -0.0031 | 0.0342 | 0.0402 | 0.0462 | 0.1515 | 0.0116 | -0.0377 | -0.0480 | 0.0135 | 0.0761 |
30/09/2020 | -0.0242 | -0.0658 | -0.1074 | 0.0082 | -0.0032 | -0.0639 | -0.0286 | -0.0211 | -0.0332 | -0.0613 | -0.0134 |
30/10/2020 | 0.0107 | 0.0456 | -0.0097 | 0.0096 | -0.0348 | 0.0858 | -0.0105 | -0.0073 | -0.0149 | 0.0627 | 0.0029 |
30/11/2020 | 0.0843 | -0.0066 | 0.2824 | 0.0289 | 0.1198 | 0.0414 | 0.0766 | 0.1435 | 0.0147 | 0.1612 | 0.1323 |
31/12/2020 | 0.0139 | 0.0221 | -0.0069 | -0.0469 | -0.0218 | 0.0857 | 0.0877 | -0.0068 | -0.0538 | -0.0050 | 0.0012 |
29/01/2021 | 0.0478 | 0.0202 | 0.0096 | -0.0170 | -0.0307 | 0.0020 | -0.0100 | 0.0255 | -0.0009 | 0.0226 | -0.0428 |
26/02/2021 | -0.0262 | -0.0450 | 0.0250 | -0.0282 | -0.0184 | -0.0802 | 0.0706 | 0.0038 | -0.0802 | 0.0515 | -0.0146 |
31/03/2021 | 0.0668 | 0.0274 | -0.0022 | 0.0243 | 0.0344 | -0.0267 | -0.0307 | 0.0587 | 0.0681 | 0.0429 | 0.0556 |
30/04/2021 | 0.0344 | -0.0237 | -0.0468 | 0.0287 | 0.0415 | 0.0979 | 0.0748 | 0.0304 | -0.0116 | 0.0320 | 0.0278 |
31/05/2021 | 0.0316 | 0.0237 | -0.0154 | 0.0347 | -0.0112 | -0.0910 | 0.0179 | 0.0206 | -0.0662 | 0.0565 | 0.0147 |
30/06/2021 | 0.0453 | 0.0543 | 0.0415 | 0.0214 | 0.0310 | 0.1236 | 0.0008 | 0.0563 | 0.0345 | -0.0018 | 0.0481 |
30/07/2021 | -0.0055 | 0.0150 | -0.0241 | 0.0111 | 0.0409 | -0.0636 | 0.0706 | -0.0148 | 0.0160 | -0.0142 | 0.0085 |
31/08/2021 | 0.0334 | 0.0679 | -0.0376 | 0.0662 | 0.0252 | 0.1619 | -0.0692 | 0.0550 | 0.0097 | 0.0492 | 0.0604 |
30/09/2021 | -0.0042 | -0.0358 | 0.1500 | -0.0476 | -0.0041 | -0.0370 | -0.0926 | 0.0128 | 0.0250 | 0.0155 | -0.0215 |
29/10/2021 | 0.0060 | -0.0231 | -0.0189 | 0.0087 | -0.0318 | 0.0243 | 0.0015 | -0.0087 | -0.0063 | 0.0083 | 0.0037 |
30/11/2021 | -0.0147 | 0.0413 | -0.0776 | 0.0148 | 0.0054 | -0.0111 | 0.0598 | 0.0466 | 0.0388 | -0.0690 | 0.0371 |
31/12/2021 | 0.0106 | -0.0228 | 0.0218 | -0.0221 | 0.0385 | -0.0579 | 0.0618 | 0.0071 | 0.0792 | 0.0426 | 0.0495 |
31/01/2022 | -0.0919 | -0.0958 | 0.0752 | -0.1213 | -0.0764 | -0.1709 | 0.0040 | -0.0796 | 0.0256 | -0.0660 | -0.0945 |
28/02/2022 | -0.0501 | 0.0536 | 0.0843 | -0.0024 | 0.0077 | -0.0684 | 0.0514 | -0.0213 | 0.0341 | 0.0300 | 0.0175 |
31/03/2022 | 0.0385 | 0.0444 | 0.1008 | 0.0254 | 0.0473 | 0.1175 | 0.0913 | 0.0496 | 0.0759 | 0.0851 | 0.0168 |
29/04/2022 | -0.0347 | 0.0336 | 0.0248 | 0.0233 | 0.0300 | -0.0986 | -0.0397 | -0.0023 | 0.0933 | 0.0004 | 0.0099 |
31/05/2022 | -0.0553 | -0.0655 | -0.0070 | -0.0119 | -0.0099 | -0.0795 | -0.0030 | -0.0674 | -0.0019 | -0.0225 | -0.0874 |
30/06/2022 | -0.0746 | 0.0022 | -0.0059 | -0.0324 | -0.0479 | -0.1116 | -0.1286 | -0.0393 | -0.0679 | -0.1191 | -0.1057 |
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