Question:
You are provided with the data of close prices for shares resit.xlsx file). This is a small sample of 22 observatons for 8 companies. You are asked to develop a VBA model for portolio optmisaton (linear programming task) that would allow
user:
1. Selectng arbitrary shares from either the provided file or files with similar formatting (in terms of elements in rows i columns). e.g. user should be able to load a file with some data and select which shares to include in the model;
2. Selectng the periods or the whole history of specified shares to use in the model;
3. Defining arbitrary number of constraints for the portolio;
4. Defining types of constraints for the portolio;
5. Defining weights for risk i log-return;
6. Deciding whether to use the correlatons between the shares for the risk calculaton or not;
7. Optmising the portolio with the provided prices, weights and constraints (see above);
8. Producing efcient fronter for the portolio (graphically).
Answer:
Time Frame |
1-Year |
|
Compnies |
|
Expected Return |
Volatility |
Weight |
|
Porfolio Mean |
0.00% |
|
|
|
|
|
|
|
|
Start Date |
06-11-2017 |
|
Barclays |
|
71.26% |
25.63% |
0.00% |
|
Portfolio Volatility |
#VALUE! |
|
|
|
|
|
|
|
|
End Date |
12-05-2017 |
|
BP |
|
16.70% |
18.93% |
0.00% |
|
Sum of Weights |
0.00% |
|
|
|
|
|
|
|
|
Risk Free |
0.59% |
|
BTC |
|
29.05% |
14.10% |
0.00% |
|
Sharpe |
#VALUE! |
|
|
|
|
|
|
|
|
Target Stdev (Optimal Portfolio 1) |
7.07% |
|
LTC |
|
21.55% |
15.80% |
0.00% |
|
Minimum % In Stock |
3.00% |
|
|
|
|
|
|
|
|
Target Stdev (Optimal Portfolio 2) |
27.43% |
|
RBS |
|
31.91% |
14.65% |
0.00% |
|
Maximum % In Stock |
25.00% |
|
|
|
|
|
|
|
|
|
|
|
Sanisburys |
|
28.11% |
14.53% |
0.00% |
|
|
100% |
|
|
|
|
|
|
|
|
Additional Parameters |
|
Saniburys |
|
36.28% |
14.72% |
0.00% |
|
|
0.086522 |
|
|
|
|
|
|
|
|
Allow Short Positions |
Yes |
|
Unilever |
|
30.55% |
16.41% |
0.00% |
|
|
|
|
|
|
|
|
|
|
|
Include Min Boundary |
no |
|
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Include Max Boundary |
no |
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|
Weight in Optimal Portfolio X |
0.4 |
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Add Tangency Port. |
no |
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Add Risk/Return of Assets |
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Add Equal Weights Port. |
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|
Date |
Barclays |
BP |
BTC |
LTC |
RBS |
Sainsburys |
Sainsburys |
Unilever |
|
|
|
|
|
|
|
|
|
|
2017-11-06 |
182 |
521.1 |
5321.28 |
41.69 |
277.4 |
234.3 |
176.55 |
4256 |
|
|
|
|
|
|
|
|
|
|
2017-11-07 |
181.35001 |
524.7 |
5456.85 |
46.5 |
276.4 |
231 |
176 |
4220.5 |
|
|
|
|
|
|
|
|
|
|
2017-11-08 |
179.45 |
524.1 |
5718.95 |
47.84 |
275.8 |
233.5 |
176.85 |
4279.5 |
|
|
|
|
|
|
|
|
|
|
2017-11-09 |
179.45 |
514.6 |
5448.82 |
49 |
273.7 |
229.2 |
176.8 |
4262 |
|
|
|
|
|
|
|
|
|
|
2017-11-10 |
179.14999 |
506.9 |
5018.28 |
44.93 |
275.3 |
232.2 |
176.6 |
4224 |
|
|
|
|
|
|
|
|
|
|
2017-11-13 |
178.89999 |
506.9 |
5009.39 |
46.97 |
274.7 |
227.3 |
177 |
4256.5 |
|
|
|
|
|
|
|
|
|
|
2017-11-14 |
180.7 |
503 |
5096.89 |
48.15 |
274.9 |
228.8 |
188.05 |
4243 |
|
|
|
|
|
|
|
|
|
|
2017-11-15 |
182.39999 |
495 |
5550.19 |
48.28 |
274.9 |
227.1 |
183.65 |
4210.5 |
|
|
|
|
|
|
|
|
|
|
2017-11-16 |
185.45 |
491.15 |
5989.97 |
54.17 |
274 |
229.1 |
184.35 |
4222 |
|
|
|
|
|
|
|
|
|
|
2017-11-17 |
185 |
493.1 |
5853.65 |
51.04 |
274.4 |
227.6 |
184.7 |
4150 |
|
|
|
|
|
|
|
|
|
|
2017-11-20 |
188.75 |
492 |
6268.5 |
55.07 |
273.6 |
224.8 |
187 |
4199.5 |
|
|
|
|
|
|
|
|
|
|
2017-11-21 |
189.2 |
494.3 |
6168.79 |
53.26 |
273.2 |
226.7 |
189 |
4227.5 |
|
|
|
|
|
|
|
|
|
|
2017-11-22 |
189.2 |
497.85 |
6263.03 |
54.62 |
269.5 |
230.4 |
194.4 |
4188.5 |
|
|
|
|
|
|
|
|
|
|
2017-11-23 |
188.75 |
500.9 |
6136.09 |
55.62 |
269.6 |
228.8 |
194.05 |
4232.5 |
|
|
|
|
|
|
|
|
|
|
2017-11-24 |
189.35001 |
501.3 |
6276.23 |
59.4 |
270.8 |
227.4 |
192.6 |
4261 |
|
|
|
|
|
|
|
|
|
|
2017-11-27 |
187.5 |
496.2 |
7340.95 |
68.45 |
267.6 |
226.8 |
192.85 |
4236.5 |
|
|
|
|
|
|
|
|
|
|
2017-11-28 |
187.35001 |
501.4 |
7454.94 |
70.95 |
271.2 |
229.5 |
195.2 |
4329.5 |
|
|
|
|
|
|
|
|
|
|
2017-11-29 |
194.25 |
494.5 |
7356.6 |
63.23 |
281.6 |
235.6 |
198 |
4216 |
|
|
|
|
|
|
|
|
|
|
2017-11-30 |
193.5 |
489.1 |
7417.92 |
64.32 |
276.6 |
232.3 |
194.05 |
4164 |
|
|
|
|
|
|
|
|
|
|
2017-12-01 |
189.39999 |
492 |
8112.87 |
73.23 |
270.1 |
233 |
195.5 |
4115 |
|
|
|
|
|
|
|
|
|
|
2017-12-04 |
194.25 |
493 |
8672.92 |
77.38 |
274.2 |
232.9 |
195.15 |
4143.5 |
|
|
|
|
|
|
|
|
|
|
2017-12-05 |
191.85001 |
493 |
8784.59 |
75.9 |
272.9 |
241.91 |
203.65 |
4179 |
|
|
|
|
|
|
|
|
|
|
Total |
4097.2 |
11026.1 |
140717.7 |
1250 |
6022.4 |
5070.21 |
4132 |
92816.5 |
|
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|
Date |
Barclays |
BP |
BTC |
LTC |
RBS |
Sainsburys |
Sainsburys |
Unilever |
0 |
0 |
0 |
0 |
0 |
|
|
|
|
Average Return |
-2.705E-06 |
-0.01251 |
-0.01226 |
-0.01315 |
-0.01366 |
-0.01236 |
-0.01235 |
-0.01266 |
-0.012378693 |
0 |
0 |
0 |
0 |
0 |
|
|
|
|
Annual Return |
-0.0006814 |
-0.95806 |
-0.95531 |
-0.96444 |
-0.96874 |
-0.95647 |
-0.95632 |
-0.95969 |
-0.956669514 |
0 |
0 |
0 |
0 |
0 |
|
|
|
|
STDEV |
1.039E-05 |
0.19403 |
0.196962 |
0.176438 |
0.178586 |
0.19612 |
0.192855 |
0.190806 |
0.196523328 |
0 |
0 |
0 |
0 |
0 |
|
|
|
|
Annual STDEV |
0.0001649 |
3.080126 |
3.126672 |
2.800859 |
2.834964 |
3.11331 |
3.061472 |
3.028949 |
3.119711114 |
0 |
0 |
0 |
0 |
0 |
|
|
|
|
|
Date |
Barclays |
BP |
BTC |
LTC |
RBS |
Sainsburys |
Sainsburys |
Unilever |
0 |
0 |
0 |
0 |
0 |
|
|
|
|
|
-2.323E-05 |
0.003578 |
-0.00688 |
-0.02516 |
-0.10919 |
0.003611 |
0.014185 |
0.00312 |
0.008376148 |
0 |
0 |
0 |
0 |
0 |
|
|
|
|
|
-2.323E-05 |
0.010532 |
0.001144 |
-0.04691 |
-0.02841 |
0.002173 |
-0.01076 |
-0.00482 |
-0.013882576 |
0 |
0 |
0 |
0 |
0 |
|
|
|
|
|
-2.323E-05 |
0 |
0.018293 |
0.048386 |
-0.02396 |
0.007643 |
0.018587 |
0.000283 |
0.004097647 |
0 |
0 |
0 |
0 |
0 |
|
|
|
|
|
-2.323E-05 |
0.001673 |
0.015076 |
0.082312 |
0.086715 |
-0.00583 |
-0.013 |
0.001132 |
0.008955987 |
0 |
0 |
0 |
0 |
0 |
|
|
|
|
|
-6.969E-05 |
0.001396 |
0 |
0.001773 |
-0.0444 |
0.002182 |
0.021328 |
-0.00226 |
-0.00766468 |
0 |
0 |
0 |
0 |
0 |
|
|
|
|
|
-2.323E-05 |
-0.01001 |
0.007724 |
-0.01732 |
-0.02481 |
-0.00073 |
-0.00658 |
-0.06056 |
0.00317666 |
0 |
0 |
0 |
0 |
0 |
|
|
|
|
|
-2.323E-05 |
-0.00936 |
0.016032 |
-0.0852 |
-0.0027 |
0 |
0.007458 |
0.023676 |
0.007689161 |
0 |
0 |
0 |
0 |
0 |
|
|
|
|
|
-2.323E-05 |
-0.01658 |
0.007808 |
-0.07625 |
-0.11511 |
0.003279 |
-0.00877 |
-0.0038 |
-0.002727544 |
0 |
0 |
0 |
0 |
0 |
|
|
|
|
|
-2.323E-05 |
0.002429 |
-0.00396 |
0.023021 |
0.059518 |
-0.00146 |
0.006569 |
-0.0019 |
0.017200615 |
0 |
0 |
0 |
0 |
0 |
|
|
|
|
|
-6.967E-05 |
-0.02007 |
0.002233 |
-0.06847 |
-0.076 |
0.00292 |
0.012379 |
-0.01238 |
-0.011857136 |
0 |
0 |
0 |
0 |
0 |
|
|
|
|
|
-2.322E-05 |
-0.00238 |
-0.00466 |
0.016034 |
0.03342 |
0.001463 |
-0.00842 |
-0.01064 |
-0.006645331 |
0 |
0 |
0 |
0 |
0 |
|
|
|
|
|
-2.322E-05 |
0 |
-0.00716 |
-0.01516 |
-0.02521 |
0.013636 |
-0.01619 |
-0.02817 |
0.009268127 |
0 |
0 |
0 |
0 |
0 |
|
|
|
|
|
-2.322E-05 |
0.002381 |
-0.00611 |
0.020476 |
-0.01814 |
-0.00037 |
0.006969 |
0.001802 |
-0.01045016 |
0 |
0 |
0 |
0 |
0 |
|
|
|
|
|
-2.322E-05 |
-0.00317 |
-0.0008 |
-0.02258 |
-0.06575 |
-0.00444 |
0.006138 |
0.0075 |
-0.006711039 |
0 |
0 |
0 |
0 |
0 |
|
|
|
|
|
-6.966E-05 |
0.009818 |
0.010226 |
-0.1567 |
-0.14181 |
0.011887 |
0.002642 |
-0.0013 |
0.005766418 |
0 |
0 |
0 |
0 |
0 |
|
|
|
|
|
-2.322E-05 |
0.0008 |
-0.01043 |
-0.01541 |
-0.03587 |
-0.01336 |
-0.01183 |
-0.01211 |
-0.021714605 |
0 |
0 |
0 |
0 |
0 |
|
|
|
|
|
-2.322E-05 |
-0.03617 |
0.013857 |
0.013279 |
0.115196 |
-0.03763 |
-0.02623 |
-0.01424 |
0.026565251 |
0 |
0 |
0 |
0 |
0 |
|
|
|
|
|
-2.322E-05 |
0.003868 |
0.01098 |
-0.0083 |
-0.01709 |
0.017915 |
0.014106 |
0.020151 |
0.01241066 |
0 |
0 |
0 |
0 |
0 |
|
|
|
|
|
-2.322E-05 |
0.021416 |
-0.00591 |
-0.08955 |
-0.12973 |
0.02378 |
-0.00301 |
-0.00744 |
0.011837317 |
0 |
0 |
0 |
0 |
0 |
|
|
|
|
|
-6.965E-05 |
-0.02528 |
-0.00203 |
-0.06675 |
-0.05512 |
-0.01507 |
0.000429 |
0.001792 |
-0.006902007 |
0 |
0 |
0 |
0 |
0 |
|
|
|
|
|
-2.322E-05 |
0.012432 |
0 |
-0.01279 |
0.019312 |
0.004752 |
-0.03796 |
-0.04263 |
-0.008531142 |
0 |
0 |
0 |
0 |
0 |
|
|
|
|
|
0 |
-3.06135 |
-3.10751 |
-2.77376 |
-2.80148 |
-3.09414 |
-3.04257 |
-3.01011 |
-3.100552442 |
0 |
0 |
0 |
0 |
0 |
|
|
|
|
|
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
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0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
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0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
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0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
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0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
|
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0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
|
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|
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
|
|
|
|
|
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
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0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
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0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
|
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0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
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0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
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0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
|
|
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|
|
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
|
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|
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
|
|
|
|
|
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
|
|
|
|
|
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
|
|
|
|
|
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
|
|
|
|
|
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
|
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0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
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0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
|
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0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
|
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|
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
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0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
|
|
|
|
|
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
|
|
|
|
|
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
|
|
|
|
|
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
|
|
|
|
|
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
|
|
|
|
|
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
|
|
|
|
|
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
|
|
|
|
|
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
|
|
|
|
|
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
|
|
|
|
|
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
|
|
|
|
|
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
|
|
|
|
|
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
|
|
|
|
|
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
|
|
|
|
|
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
|
|
|
|
|
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
|
|
|
|
|
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
|
|
|
|
|
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
|
|
|
|
|
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
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|
|
|
|
|
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
|
|
|
|
|
0 |
0 |
0 |
0 |
0 |
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0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
|
|
|
|
|
0 |
0 |
0 |
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0 |
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0 |
0 |
0 |
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0 |
0 |
0 |
|
|
|
|
|
0 |
0 |
0 |
0 |
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0 |
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0 |
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0 |
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0 |
|
|
|
|
|
0 |
0 |
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0 |
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|
|
|
|
|
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0 |
0 |
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0 |
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0 |
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0 |
0 |
0 |
|
|
|
|
|
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
|
|
|
|
|
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
|
|
|
|
|
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
|
|
|
|
|
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
|
|
|
|
|
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
|
|
|
|
|
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
|
|
|
|
|
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
|
|
|
|
|
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
|
|
|
|
|
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
|
|
|
|
|
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
|
|
|
|
|
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
|
|
|
|
|
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
|
|
|
|
|
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
|
|
|
|
|
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
|
|
|
|
|
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
|
|
|
|
|
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
|
|
|
|
|
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
|
|
|
|
|
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
|
|
|
|
|
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
|
|
|
|
|
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
|
|
|
|
|
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
|
|
|
|
|
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
|
|
|
|
|
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
|
|
|
|
|
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
|
|
|
|
|
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
|
|
|
|
|
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
|
|
|
|
|
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
|
|
|
|
|
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
|
|
|
|
|
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
|
|
|
|
|
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
|
|
|
|
|
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
|
|
|
|
|
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
|
|
|
|
|
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
|
|
|
|
|
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
|
|
|
|
|
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
|
|
|
|
|
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
|
|
|
|
|
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
|
|
|
|
|
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
|
|
|
|
|
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
|
|
|
|
|
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
|
|
|
|
|
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
|
|
|
|
|
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
|
|
|
|
|
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
|
|
|
|
|
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
|
|
|
|
|
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
|
|
|
|
|
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
|
|
|
|
|
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
|
|
|
|
|
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
|
|
|
|
|
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
|
|
|
|
|
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
|
|
|
|
|
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
|
|
|
|
|
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
|
|
|
|
|
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
|
|
|
|
|
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
|
|
|
|
|
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
|
|
|
|
|
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
|
|
|
|
|
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
|
|
|
|
|
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
|
|
|
|
|
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
|
|
|
|
|
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
|
|
|
|
|
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
|
|
|
|
|
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
|
|
|
|
|
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
|
|
|
|
|
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
|
|
|
|
|
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Barclays |
Bp |
BTC |
LTC |
RBS |
Sanisburt |
Sanisbury |
Barclays |
Bp |
BTC |
LTC |
RBS |
Sanisburt |
Barclays |
|
|
|
|
Barclays |
0.0654256 |
0.011839 |
0.0135 |
0.00065 |
0.005507 |
0.00043 |
0.000558 |
0.005018 |
0.00674921 |
0.005953 |
0.016308 |
0.004462 |
-0.0037 |
0.017513 |
|
|
|
|
Bp |
0.0118387 |
0.035695 |
0.005002 |
0.005826 |
0.004085 |
0.003941 |
-0.00012 |
0.003555 |
0.000445013 |
0.001442 |
0.010052 |
0.006614 |
0.000666 |
0.010436 |
|
|
|
|
BTC |
0.0135004 |
0.005002 |
0.019809 |
0.004123 |
0.008081 |
0.004454 |
0.004141 |
0.008053 |
0.005774018 |
0.006205 |
0.011079 |
0.006558 |
0.001087 |
0.0129 |
|
|
|
|
LTC |
0.00065 |
0.005826 |
0.004123 |
0.024859 |
0.002402 |
0.001889 |
0.000267 |
0.002917 |
-0.002947715 |
-0.00463 |
0.000723 |
-0.00176 |
0.001962 |
0.002248 |
|
|
|
|
RBS |
0.0055072 |
0.004085 |
0.008081 |
0.002402 |
0.02137 |
0.007734 |
0.007546 |
0.00882 |
0.006534345 |
0.008824 |
0.006821 |
0.006616 |
0.003194 |
0.005095 |
|
|
|
|
Sanisburt |
0.00043 |
0.003941 |
0.004454 |
0.001889 |
0.007734 |
0.021041 |
0.003383 |
0.005793 |
0.005929953 |
0.007539 |
0.005143 |
0.004656 |
0.002117 |
0.002587 |
|
|
|
|
Sanisbury |
0.0005585 |
-0.00012 |
0.004141 |
0.000267 |
0.007546 |
0.003383 |
0.021585 |
0.007284 |
0.005687913 |
0.007578 |
0.005567 |
0.002872 |
0.000414 |
0.003285 |
|
|
|
|
Barclays |
0.0050185 |
0.003555 |
0.008053 |
0.002917 |
0.00882 |
0.005793 |
0.007284 |
0.026812 |
0.012255408 |
0.013512 |
0.006717 |
0.004545 |
0.00535 |
0.007135 |
|
|
|
|
Bp |
0.0067492 |
0.000445 |
0.005774 |
-0.00295 |
0.006534 |
0.00593 |
0.005688 |
0.012255 |
0.036530164 |
0.032501 |
0.005527 |
0.001874 |
0.008323 |
0.00465 |
|
|
|
|
BTC |
0.0059529 |
0.001442 |
0.006205 |
-0.00463 |
0.008824 |
0.007539 |
0.007578 |
0.013512 |
0.03250126 |
0.047435 |
0.005239 |
0.003932 |
0.007684 |
0.005432 |
|
|
|
|
LTC |
0.0163079 |
0.010052 |
0.011079 |
0.000723 |
0.006821 |
0.005143 |
0.005567 |
0.006717 |
0.005526574 |
0.005239 |
0.075242 |
0.01391 |
-0.00153 |
0.019429 |
|
|
|
|
RBS |
0.0044617 |
0.006614 |
0.006558 |
-0.00176 |
0.006616 |
0.004656 |
0.002872 |
0.004545 |
0.001874274 |
0.003932 |
0.01391 |
0.027707 |
0.001093 |
0.004944 |
|
|
|
|
Sanisburt |
-0.0036967 |
0.000666 |
0.001087 |
0.001962 |
0.003194 |
0.002117 |
0.000414 |
0.00535 |
0.008322911 |
0.007684 |
-0.00153 |
0.001093 |
0.016314 |
0.001841 |
|
|
|
|
Barclays |
0.0175131 |
0.010436 |
0.0129 |
0.002248 |
0.005095 |
0.002587 |
0.003285 |
0.007135 |
0.004650163 |
0.005432 |
0.019429 |
0.004944 |
0.001841 |
0.025324 |
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MVP |
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Optimal Portfolio 1 |
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Optimal Portfolio 2 |
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Linear Combo |
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Companies |
Weight |
Porfolio Mean |
1.223649 |
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Companies |
Weight |
Porfolio Mean |
0.221599051 |
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Companies |
Weight |
Porfolio Mean |
0.375367 |
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Covar |
0.005273 |
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Barclays |
0 |
Portfolio Volatility |
0.274304 |
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Barclays |
0.054278 |
Portfolio Volatility |
0.070718949 |
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Barclays |
0 |
Portfolio Volatility |
0.217797 |
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Weight in X |
0.4 |
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BP |
0 |
Sum of Weights |
1.000001 |
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BP |
0.04371 |
Sum of Weights |
1 |
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BP |
0 |
Sum of Weights |
1 |
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Mean |
0.31386 |
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BTC |
0 |
Sharpe |
4.439419 |
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BTC |
0.027931 |
Sharpe |
3.050088462 |
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BTC |
0 |
Sharpe |
1.696387 |
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Volatility |
0.142857 |
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LTC |
0 |
Minimum % In Stock |
0.03 |
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LTC |
0.160668 |
Minimum % In Stock |
0.03 |
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LTC |
0 |
Minimum % In Stock |
0.03 |
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RBS |
0 |
Maximum % In Stock |
0.25 |
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RBS |
0 |
Maximum % In Stock |
0.25 |
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RBS |
0 |
Maximum % In Stock |
0.25 |
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Sanisburys |
0 |
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Sanisburys |
0.120464 |
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Sanisburys |
-1E-06 |
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Sanisburys |
0 |
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Sanisburys |
0.174356 |
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Sanisburys |
0 |
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Unilever |
0 |
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Unilever |
0 |
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Unilever |
0 |
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Barclays |
0 |
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Barclays |
0.020101 |
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Barclays |
0 |
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BP |
0 |
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BP |
0 |
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BP |
1.000001 |
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BTC |
1.000001 |
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BTC |
0 |
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BTC |
0 |
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LTC |
0 |
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LTC |
0.108711 |
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LTC |
0 |
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RBS |
0 |
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RBS |
0.254334 |
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RBS |
0 |
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Sanisburys |
0 |
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Sanisburys |
0.035447 |
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Sanisburys |
0 |
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