Theoretical price of stock Stock-i Returns (1-day) Variance Return(2-days) Trading day Company 1 Company 2 Company 3 Company 1 Company 2 Company 3 Company 1 Company 2 Company 3 Company 1 Company 2 Company 3 Company 1 Company 2 Company 3 1. 100 200 1000 2. 110 210 1050 0.09531018 0.048790164 0.048790164 0.010072302 0.00133902 0.003796222 3. 121 205 1080 0.09531018 -0.024097552 0.028170877 0.010072302 0.001317334 0.001680524 0.19062036 0.024692613 0.076961041 0.06062548 0.014541137 0.010758112 4. 95 150 1020 -0.241913654 -0.312374685 -0.057158414 0.05610407 0.10534713 0.0019656 -0.146603474 -0.336472237 -0.028987537 0.008281257 0.057877876 4.96069E-06 5. 98 210 950 0.031090587 0.336472237 -0.071095922 0.001306191 0.105154078 0.003395696 -0.210823067 0.024097552 -0.128254336 0.024093561 0.014397978 0.010301044 E(X) -0.005050677 0.012197541 -0.012823324 Var(X) 0.025852 0.071053 0.003613 E(X) -0.055602061 -0.095894024 -0.026760277 Var(X) 0.046500 0.043408 0.010532 fce 0.025851621 0.071052521 0.003612681 0.046500149 0.043408496 0.010532058 Sigma(X) 0.160784 0.266557 0.060106 Sigma(X) 0.215639 0.208347 0.102626 ##### Sheet/List 2 ##### Year Returns (Q) Var(X) 2014 2015 Company I. II. III. IV. I. II. III. IV. E(X) Var(X) Sigma(X) A 1010 1055 1100 1031 988 1065 918 1060 A 0.043590436 0.041769413 -0.064780975 -0.042601786 0.07504738 -0.148532688 0.143826796 0.006902654 0.001345993 0.001215691 0.005138543 0.00245069 0.004643704 0.024160145 0.018748221 0.009617164 0.098067142 B 2650 3000 3848 3228 3638 4205 3979 4731 B 0.124052649 0.248941244 -0.175690782 0.11957133 0.144840213 -0.055243762 0.173106065 0.082796708 0.001702053 0.027604007 0.066815783 0.001352373 0.003849397 0.019055171 0.00815578 0.021422427 0.146364023 C 1505 2030 2190 2325 2250 2443 1700 1796 C 0.299242895 0.075865751 0.059818495 -0.032789823 0.082296576 -0.362598541 0.054933719 0.025252725 0.075070613 0.002561678 0.001194793 0.003368937 0.003254001 0.150428604 0.000880961 0.039459931 0.19864524 D 178 300 325 396 351 370 335 327 D 0.521998924 0.080042708 0.197589029 -0.120627988 0.052716782 -0.099372474 -0.024170361 0.086882374 0.189326412 4.6781E-05 0.012255963 0.04306055 0.001167288 0.034690868 0.01233271 0.048813429 0.220937613 E 281 372 358 494 460 539 443 468 E 0.280539185 -0.038360868 0.322002531 -0.071309028 0.158489081 -0.196145801 0.054898526 0.072873375 0.043125089 0.012373057 0.062065336 0.020788565 0.007330049 0.072371317 0.000323095 0.036396085 0.190777579 F 2645 3125 3400 3330 3400 3425 3475 4100 F 0.166763218 0.084341148 -0.020803128 0.020803128 0.00732604 0.014493007 0.165392495 0.062616558 0.010846527 0.000471958 0.006958844 0.001748363 0.003057041 0.002315876 0.010562893 0.005993584 0.077418239 G 547 800 803 1070 975 952 997 944 G 0.380162925 0.003742986 0.287059214 -0.092976456 -0.023872436 0.046185735 -0.054624604 0.077953909 0.091330289 0.005507261 0.043725028 0.02921719 0.010368605 0.001009217 0.017577062 0.033122442 0.18199572 Return(2-years) "Covar(X,Y)" A 0.048318577 A 0.036687782 0.034866759 -0.071683629 -0.04950444 0.068144726 -0.155435341 0.136924143 B 0.579576957 B 0.041255941 0.166144536 -0.25848749 0.036774622 0.062043505 -0.13804047 0.090309357 C 0.176769072 C 0.27399017 0.050613026 0.034565771 -0.058042547 0.057043852 -0.387851266 0.029680994 D 0.608176621 D 0.43511655 -0.006839667 0.110706655 -0.207510362 -0.034165592 -0.186254848 -0.111052735 E 0.510113627 E 0.20766581 -0.111234243 0.249129156 -0.144182403 0.085615706 -0.269019176 -0.017974849 F 0.438315908 F 0.10414666 0.02172459 -0.083419686 -0.041813431 -0.055290518 -0.048123551 0.102775936 G 0.545677364 G 0.302209016 -0.074210923 0.209105304 -0.170930366 -0.101826345 -0.031768174 -0.132578513 "Covar(X,Y)" A-A 0.001345993 0.001215691 0.005138543 0.00245069 0.004643704 0.024160145 0.018748221 0.009617164 0.009617164 Covar_M A-B 0.001513589 0.005792921 0.018529321 -0.001820507 0.004227938 0.021456368 0.012365531 0.010344194 0.010344194 A B C D E F G A-C 0.010052092 0.001764712 -0.0024778 0.002873364 0.003887238 0.060285794 0.004064045 0.013408241 0.013408241 A 0.009617164 -0.005486658 0.013408241 0.004913066 0.006367961 0.005068834 -0.003030327 A-D 0.015963461 -0.000238477 -0.007935855 0.010272684 -0.002328205 0.028950586 -0.015205801 0.004913066 0.004913066 B 0.010344194 0.021422427 0.011400388 -0.000978463 -0.006464734 0.006737595 -0.012350713 A-E 0.007618798 -0.003878378 -0.017858482 0.007137669 0.005834259 0.041815087 -0.002461191 0.006367961 0.006367961 C 0.013408241 0.011400388 0.039459931 0.033622776 0.029489718 0.007956581 0.01646218 A-F 0.00382091 0.000757466 0.005979826 0.00206995 -0.003767757 0.007480101 0.014072507 0.005068834 0.005068834 D 0.004913066 -0.000978463 0.033622776 0.048813429 0.032966067 0.00734128 0.035790339 A-G 0.011087379 -0.002587494 -0.014989427 0.008461812 -0.006938928 0.004937897 -0.018153199 -0.003030327 -0.003030327 E 0.006367961 -0.006464734 0.029489718 0.032966067 0.036396085 0.001803784 0.024994008 F 0.005068834 0.006737595 0.007956581 0.00734128 0.001803784 0.005993584 0.002183082 G -0.003030327 -0.012350713 0.01646218 0.035790339 0.024994008 0.002183082 0.033122442 0.001345993 0.001215691 0.005138543 0.00245069 0.004643704 0.024160145 0.018748221 0.009617164 0.001513589 0.005792921 0.018529321 -0.001820507 0.004227938 0.021456368 0.012365531 0.010344194 0.098067142 0.146364023 0.19864524 0.220937613 0.190777579 0.077418239 0.18199572 0.010052092 0.001764712 -0.0024778 0.002873364 0.003887238 0.060285794 0.004064045 0.013408241 0.098067142 0.146364023 0.19864524 0.220937613 0.190777579 0.077418239 0.18199572 0.015963461 -0.000238477 -0.007935855 0.010272684 -0.002328205 0.028950586 -0.015205801 0.004913066 Correl_M 0.007618798 -0.003878378 -0.017858482 0.007137669 0.005834259 0.041815087 -0.002461191 0.006367961 1 -0.382252258 0.688287867 0.226756317 0.340368617 0.667638298 -0.169787138 0.098067142 1 -0.382252258 0.688287867 0.226756317 0.340368617 0.667638298 -0.169787138 0.00382091 0.000757466 0.005979826 0.00206995 -0.003767757 0.007480101 0.014072507 0.005068834 0.720673878 1 0.392109307 -0.030258016 -0.231520241 0.594603268 -0.463656671 0.146364023 0.720673878 1 0.392109307 -0.030258016 -0.231520241 0.594603268 -0.463656671 0.011087379 -0.002587494 -0.014989427 0.008461812 -0.006938928 0.004937897 -0.018153199 -0.003030327 0.688287867 0.392109307 1 0.76610051 0.778153237 0.51737455 0.455352787 0.19864524 0.688287867 0.392109307 1 0.76610051 0.778153237 0.51737455 0.455352787 0.226756317 -0.030258016 0.76610051 1 0.782114164 0.429199152 0.890092167 0.220937613 0.226756317 -0.030258016 0.76610051 1 0.782114164 0.429199152 0.890092167 0.340368617 -0.231520241 0.778153237 0.782114164 1 0.122127651 0.719858925 0.190777579 0.340368617 -0.231520241 0.778153237 0.782114164 1 0.122127651 0.719858925 0.667638298 0.594603268 0.51737455 0.429199152 0.122127651 1 0.154940723 0.077418239 0.667638298 0.594603268 0.51737455 0.429199152 0.122127651 1 0.154940723 -0.169787138 -0.463656671 0.455352787 0.890092167 0.719858925 0.154940723 1 0.18199572 -0.169787138 -0.463656671 0.455352787 0.890092167 0.719858925 0.154940723 1 0.009617164 0.010344194 0.013408241 0.004913066 0.006367961 0.005068834 -0.003030327 0.010344194 0.021422427 0.011400388 -0.000978463 -0.006464734 0.006737595 -0.012350713 0.013408241 0.011400388 0.039459931 0.033622776 0.029489718 0.007956581 0.01646218 0.004913066 -0.000978463 0.033622776 0.048813429 0.032966067 0.00734128 0.035790339 0.006367961 -0.006464734 0.029489718 0.032966067 0.036396085 0.001803784 0.024994008 0.005068834 0.006737595 0.007956581 0.00734128 0.001803784 0.005993584 0.002183082 -0.003030327 -0.012350713 0.01646218 0.035790339 0.024994008 0.002183082 0.033122442 Correl_M A B C D E F G A 1 0.720673878 0.688287867 0.226756317 0.340368617 0.667638298 -0.169787138 B 0.720673878 1 0.392109307 -0.030258016 -0.231520241 0.594603268 -0.463656671 C 0.688287867 0.392109307 1 0.76610051 0.778153237 0.51737455 0.455352787 D 0.226756317 -0.030258016 0.76610051 1 0.782114164 0.429199152 0.890092167 E 0.340368617 -0.231520241 0.778153237 0.782114164 1 0.122127651 0.719858925 F 0.667638298 0.594603268 0.51737455 0.429199152 0.122127651 1 0.154940723 G -0.169787138 -0.463656671 0.455352787 0.890092167 0.719858925 0.154940723 1 ##### Sheet/List 3 ##### Date Exxon Appl Goldman Return Variance 2/26/2015 88.650002 130.419998 192.199997 2/27/2015 88.540001 128.460007 189.789993 -0.001241616 -0.01514237 -0.01261832 1.18001E-06 0.000242161 0.000170947 3/2/2015 88.040001 129.089996 191.789993 -0.005663171 0.004892178 0.010482826 3.03363E-05 2.0008E-05 0.00010053 3/3/2015 87.620003 129.360001 191.270004 -0.004781951 0.002089418 -0.002714924 2.14056E-05 2.7898E-06 1.0057E-05 3/4/2015 87.18 128.539993 189.669998 -0.00503437 -0.006359138 -0.008400354 2.3805E-05 4.59452E-05 7.84411E-05 3/5/2015 86.739998 126.410004 190.080002 -0.005059831 -0.016709461 0.002159337 2.40541E-05 0.000293389 2.90018E-06 3/6/2015 85.629997 126.599998 186.910004 -0.012879461 0.00150187 -0.016817808 0.000161903 1.17228E-06 0.000298396 3/9/2015 85.160004 127.139999 187.929993 -0.005503767 0.00425634 0.005442277 2.86058E-05 1.4724E-05 2.48595E-05 3/10/2015 84.260002 124.510002 182.710007 -0.010624607 -0.020902784 -0.028169281 0.000109606 0.000454625 0.000819427 3/11/2015 84.019997 122.239998 184.179993 -0.00285245 -0.018399741 0.008013268 7.27445E-06 0.000354151 5.71071E-05 3/12/2015 84.220001 124.449997 189.949997 0.002377605 0.017917696 0.030847362 6.41577E-06 0.000306199 0.000923614 3/13/2015 83.870003 123.589996 189.339996 -0.004164418 -0.006934401 -0.003216544 1.60728E-05 5.40747E-05 1.34901E-05 3/16/2015 84.760002 124.949997 191.899994 0.01055574 0.01094403 0.013430052 0.000114727 0.000110773 0.000168317 3/17/2015 84.080002 127.040001 190.570007 -0.008055007 0.016588372 -0.006954754 6.24049E-05 0.000261444 5.49244E-05 3/18/2015 86.07 128.470001 192.320007 0.023392168 0.011193416 0.00914107 0.000554485 0.000116085 7.54244E-05 3/19/2015 84.410004 127.5 189.970001 -0.019474993 -0.007579057 -0.012294518 0.000373249 6.39713E-05 0.000162585 3/20/2015 84.540001 125.900002 193.130005 0.001538882 -0.012628408 0.016497393 2.87036E-06 0.000170239 0.000257315 3/23/2015 85.43 127.209999 191.960007 0.01047252 0.010351299 -0.00607651 0.000112951 9.86476E-05 4.26782E-05 3/24/2015 84.519997 126.690002 191.279999 -0.01070917 -0.004096083 -0.003548736 0.000111383 2.03873E-05 1.60407E-05 3/25/2015 84.860001 123.379997 187.350006 0.004014694 -0.026474174 -0.020759761 1.73891E-05 0.000723251 0.000450123 3/26/2015 84.32 124.239998 187.240005 -0.006383767 0.006946163 -0.000587314 3.87934E-05 4.26019E-05 1.08923E-06 3/27/2015 83.580002 123.25 188.059998 -0.008814804 -0.00800035 0.004369807 7.49865E-05 7.0888E-05 1.53152E-05 3/30/2015 85.629997 126.370003 191.020004 0.024231373 0.024999323 0.015617105 0.000594711 0.000604185 0.000229849 3/31/2015 85 124.43 187.970001 -0.007384398 -0.015470827 -0.016095775 5.22594E-05 0.000252491 0.000273973 4/1/2015 84.459999 124.25 192.229996 -0.006373219 -0.001447644 0.02241017 3.86621E-05 3.48492E-06 0.00048197 4/2/2015 84.300003 125.32 191.550003 -0.001896137 0.008574801 -0.003543664 3.0304E-06 6.65146E-05 1.60001E-05 4/6/2015 85.129997 127.349998 192.050003 0.009797564 0.01606872 0.002606884 9.90601E-05 0.000244909 4.62481E-06 4/7/2015 85.75 126.010002 192.389999 0.007256621 -0.010577901 0.001768786 5.49371E-05 0.000120935 1.7225E-06 4/8/2015 84.059998 125.599998 192.559998 -0.01990528 -0.003259047 0.000883226 0.00039006 1.35291E-05 1.82227E-07 4/9/2015 84.650002 126.559998 194.889999 0.006994326 0.00761425 0.012027509 5.11176E-05 5.17695E-05 0.000133892 4/10/2015 85.559998 127.099998 195.639999 0.010692729 0.004257674 0.003840939 0.00011768 1.47343E-05 1.14555E-05 4/13/2015 85.339996 126.849998 195.580002 -0.00257463 -0.001968892 -0.000306717 5.853E-06 5.70275E-06 5.82266E-07 4/14/2015 86.629997 126.300003 197.720001 0.01500291 -0.004345217 0.01088238 0.000229772 2.26992E-05 0.000108702 4/15/2015 88.080002 126.779999 201.100006 0.016599374 0.00379324 0.016950433 0.00028072 1.13845E-05 0.000272055 4/16/2015 87.730003 126.169998 200.210007 -0.003981565 -0.004823105 -0.004435476 1.46401E-05 2.74812E-05 2.39299E-05 4/17/2015 86.93 124.75 197.350006 -0.009160753 -0.011318453 -0.014388018 8.10976E-05 0.000137771 0.000220355 4/20/2015 87.239998 127.599998 198.100006 0.003559721 0.022588621 0.003793151 1.38016E-05 0.000491485 1.11343E-05 4/21/2015 86.879997 126.910004 196.839996 -0.004135097 -0.00542215 -0.006380788 1.58385E-05 3.41208E-05 4.67464E-05 4/22/2015 87.459999 128.619995 198.320007 0.006653713 0.013384076 0.007490727 4.63631E-05 0.000168089 4.94825E-05 4/23/2015 87.540001 129.669998 199.309998 0.000914309 0.008130464 0.004979469 1.14413E-06 5.94644E-05 2.04586E-05 4/24/2015 86.970001 130.279999 197.990005 -0.0065326 0.004693227 -0.006644842 4.06695E-05 1.82677E-05 5.04269E-05 4/27/2015 87.010002 132.649994 196.520004 0.000459834 0.018028063 -0.007452322 3.7843E-07 0.000310074 6.2547E-05 4/28/2015 87.800003 130.559998 197.490005 0.009038457 -0.015881159 0.004923748 8.45258E-05 0.0002657 1.99577E-05 4/29/2015 87.870003 128.639999 198.559998 0.000796949 -0.014815078 0.005403336 9.06839E-07 0.000232082 2.44727E-05 4/30/2015 87.370003 125.150002 196.419998 -0.005706475 -0.027504764 -0.010836098 3.08152E-05 0.000779745 0.000127519 5/1/2015 88.849998 128.949997 197.529999 0.016797523 0.029911675 0.005635253 0.000287399 0.000869809 2.68211E-05 5/4/2015 89.110001 128.699997 199.300003 0.002922041 -0.001940618 0.008920776 9.47022E-06 5.5685E-06 7.16466E-05 5/5/2015 88.610001 125.800003 197.289993 -0.005626844 -0.022790723 -0.01013655 2.99374E-05 0.000538698 0.000112209 5/6/2015 88.190002 125.010002 196.25 -0.004751129 -0.006299618 -0.005285335 2.11213E-05 4.51418E-05 3.29669E-05 5/7/2015 87.599998 125.260002 197.389999 -0.006712625 0.001997843 0.005792105 4.29981E-05 2.49227E-06 2.84703E-05 5/8/2015 88.989998 127.620003 200.5 0.015743006 0.018665529 0.015632785 0.000252757 0.00033293 0.000230324 5/11/2015 86.779999 126.32 201.729996 -0.025147813 -0.010238752 0.006115903 0.000624624 0.000113591 3.20306E-05 5/12/2015 87.019997 125.870003 200.529999 0.002761774 -0.003568718 -0.005966293 8.50951E-06 1.59031E-05 4.12503E-05 5/13/2015 86.559998 126.010002 201.429993 -0.005300151 0.001111633 0.004478035 2.64692E-05 4.79532E-07 1.6174E-05 5/14/2015 86.970001 128.949997 202.619995 0.004725451 0.023063424 0.005890387 2.3822E-05 0.000512763 2.95288E-05 5/15/2015 87.349998 128.770004 202.970001 0.004359771 -0.001396811 0.001725911 2.03862E-05 3.29771E-06 1.61179E-06 5/18/2015 86.849998 130.190002 204.660004 -0.005740544 0.010967039 0.008291895 3.11946E-05 0.000111258 6.13958E-05 5/19/2015 86.989998 130.070007 205.399994 0.001610677 -0.000922116 0.003609183 3.11879E-06 1.799E-06 9.94038E-06 5/20/2015 87.129997 130.059998 205.080002 0.001608075 -7.69538E-05 -0.001559112 3.10961E-06 2.46119E-07 4.06207E-06 5/21/2015 87.209999 131.389999 204.949997 0.00091777 0.010174125 -0.000634124 1.15155E-06 9.51595E-05 1.18913E-06 5/22/2015 86.519997 132.539993 207.800003 -0.007943425 0.008714442 0.013810061 6.06544E-05 6.88119E-05 0.000178322 5/26/2015 85.349998 129.619995 206.380005 -0.013615141 -0.022277379 -0.006856939 0.000181166 0.000515132 5.34841E-05 5/27/2015 85.110001 132.039993 209.059998 -0.002815877 0.0184978 0.012902129 7.0785E-06 0.000326838 0.000154898 5/28/2015 85.110001 131.779999 208.479996 0 -0.001970996 -0.002778188 2.4128E-08 5.7128E-06 1.04622E-05 5/29/2015 85.199997 130.279999 206.190002 0.001056849 -0.011447885 -0.011045011 1.46938E-06 0.000140827 0.000132281 6/1/2015 85.129997 130.539993 207.809998 -0.000821934 0.001993667 0.007826108 4.44358E-07 2.4791E-06 5.43134E-05 6/2/2015 85.139999 129.960007 206.429993 0.000117484 -0.004452875 -0.006662853 7.44285E-08 2.37366E-05 5.0683E-05 6/3/2015 84.949997 130.119995 208.289993 -0.002234136 0.001230299 0.008969968 4.32143E-06 6.57962E-07 7.24818E-05 6/4/2015 84.220001 129.360001 208.869995 -0.008630378 -0.00585784 0.002780719 7.18264E-05 3.94006E-05 5.40271E-06 6/5/2015 84.279999 128.649994 210.449997 0.000712142 -0.005503731 0.007536056 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0.000285976 0.000367106 0.000263563 E(X) -0.000155332 0.00041915 0.000456346 Var(X) 0.000138097 0.000204656 0.000219358 Sigma(X) 0.011751486 0.014305805 0.014810725