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Mutual Funds WPSGX: The Alliance Bernstein Concentrated Growth Fund, the fund objective is long-term growth o investing in companies that have market capitalization of over $5 billion, which is considered The fund, which only invests in U.S. listed common stocks uses an appraisal method to exam companies, such as earnings growth, profits projection, accuracy, quality of management, et International Fund VEUAX: The JP Morgan Intrepid European A fund objective is long-term capital appreciation, invest i mostly invest in Western European companies with at least 80% of its value of assets in secu ACIIX: American Century Equity Income Instl: the fund seeks current income, capital appreciation is income-paying history and is likely to make income payments in the future. It also invests in stock prices. A portion of its assets are invested in foreign securities. OREAX: Oppenheimer Real Estate A seeks total returns. The fund invests at least 80% of its assets in It primarily invests in real estate trust (REITs) FRNRX: Franklin Natural Resources A objective is high total returns, which consist of both capital app The fund invests at least 80% of its assets and debts in companies that are in the natural res PESPX Dreyfus MidCap Index seeks to match the performance of the S&P MidCap 400 Index. It is in

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Page 1: Andre Powell Term Project

Mutual Funds

WPSGX: The Alliance Bernstein Concentrated Growth Fund, the fund objective is long-term growth of capital, and it is achieved by

investing in companies that have market capitalization of over $5 billion, which is considered large-cap.

The fund, which only invests in U.S. listed common stocks uses an appraisal method to examine perspective

companies, such as earnings growth, profits projection, accuracy, quality of management, etc.

International Fund

VEUAX: The JP Morgan Intrepid European A fund objective is long-term capital appreciation, invest in companies that issue equity securities in countries other than the U.S., the fund

mostly invest in Western European companies with at least 80% of its value of assets in securities of European issuers.

ACIIX: American Century Equity Income Instl: the fund seeks current income, capital appreciation is secondary. The fund invests in companies with a favorable

income-paying history and is likely to make income payments in the future. It also invests in undervalued companies that have the potential to increase their

stock prices. A portion of its assets are invested in foreign securities.

OREAX: Oppenheimer Real Estate A seeks total returns. The fund invests at least 80% of its assets in common stocks and other equity security in real estate companies.

It primarily invests in real estate trust (REITs)

FRNRX: Franklin Natural Resources A objective is high total returns, which consist of both capital appreciation and current dividend income.

The fund invests at least 80% of its assets and debts in companies that are in the natural resources sector.

PESPX Dreyfus MidCap Index seeks to match the performance of the S&P MidCap 400 Index. It is invested in all 400 stocks in the S&P MidCap 400 index

Page 2: Andre Powell Term Project

The Alliance Bernstein Concentrated Growth Fund, the fund objective is long-term growth of capital, and it is achieved by

investing in companies that have market capitalization of over $5 billion, which is considered large-cap.

The fund, which only invests in U.S. listed common stocks uses an appraisal method to examine perspective

companies, such as earnings growth, profits projection, accuracy, quality of management, etc.

The JP Morgan Intrepid European A fund objective is long-term capital appreciation, invest in companies that issue equity securities in countries other than the U.S., the fund

mostly invest in Western European companies with at least 80% of its value of assets in securities of European issuers.

American Century Equity Income Instl: the fund seeks current income, capital appreciation is secondary. The fund invests in companies with a favorable

income-paying history and is likely to make income payments in the future. It also invests in undervalued companies that have the potential to increase their

Oppenheimer Real Estate A seeks total returns. The fund invests at least 80% of its assets in common stocks and other equity security in real estate companies.

Franklin Natural Resources A objective is high total returns, which consist of both capital appreciation and current dividend income.

The fund invests at least 80% of its assets and debts in companies that are in the natural resources sector.

Dreyfus MidCap Index seeks to match the performance of the S&P MidCap 400 Index. It is invested in all 400 stocks in the S&P MidCap 400 index

Page 3: Andre Powell Term Project

Date WPSGX VEUAX ACIIX OREAX FRNRX

July-15 0.02991453 0.004788548 -0.0174584 -0.034658913 -0.121424034

April-15 0.058424385 0.072314845 0.021137173 -0.070572431 0.146919395

January-15 -0.0041501 -0.01490416 0.006736343 0.10937753 -0.166887195

October-14 0.0652427 -0.05319975 0.039425292 0.075335865 -0.172756671

July-14 0.027944156 -0.0374768 0.014191529 0.034665157 0.01105796

April-14 0.051561987 0.063955822 0.074588418 0.0961361 0.146685934

January-14 0.020964396 0.022344761 -0.003641359 -0.008404391 -0.054940231

October-13 0.034707125 0.110663119 0.019828959 0.018627033 0.095238176

July-13 0.072591875 0.070503588 0.03208166 -0.075871235 0.017256949

April-13 0.083165327 0.026082682 0.061132681 0.10030672 -0.057363075

January-13 0.042564301 0.150154112 0.054340162 0.067117696 0.064075381

October-12 0.052544427 0.114641804 0.028244413 -0.028510192 0.045065031

July-12 -0.047920011 -0.08180782 0.022044609 0.017594569 -0.120078226

April-12 0.119693519 0.071078492 0.034490011 0.06485499 -0.032423592

January-12 0.026013129 -0.00470776 0.049008686 0.074772546 0.016475598

October-11 0.014110551 -0.10343013 -0.005723709 -0.053538995 -0.145750982

July-11 -0.025178015 -0.09460102 -0.046500402 -0.000534872 -0.040223456

April-11 0.035869165 0.09811117 0.060869964 0.096542635 0.089868458

January-11 0.057596488 0.058908064 0.058006412 0.063806301 0.197865187

October-10 0.12776461 0.125615737 0.067081459 0.068261069 0.146004568

July-10 -0.080842922 -0.05195552 -0.039051069 -0.016885946 -0.082377789

April-10 0.071841889 0.040072829 0.080215604 0.246122074 0.123770774

January-10 0.036660663 -0.01207146 0.029720926 0.074923586 0.022838381

October-09 0.051614987 0.055831235 0.033293446 0.149775981 0.098009788

July-09 0.082618999 0.228658627 0.090161946 0.084757575 0.180931298

April-09 0.14989659 0.064071375 0.011667301 0.097535832 0.144669877

January-09 -0.114108645 -0.12642669 -0.059463795 -0.265460043 -0.091818913

October-08 -0.188443406 -0.36348413 -0.13124947 -0.293270743 -0.456234017

July-08 -0.058064099 -0.10056493 -0.063070923 -0.079857688 -0.059196139

April-08 0.00640042 0.053571355 0.013442924 0.078768994 0.158693977

January-08 -0.104185351 -0.17152699 -0.08099922 -0.143372643 -0.096819857

October-07 0.05990685 0.094125033 0.051689058 0.141480779 0.157610147

July-07 -0.025861226 0.013444319 -0.027115886 -0.172910861 0.074788526

April-07 0.013232011 0.083969456 0.037793359 -0.051484429 0.149802512

January-07 0.025839234 0.08769325 0.038426818 0.119338819 0.040213321

October-06 0.136747523 0.08815542 0.072690487 0.122394249 -0.025596749

July-06 -0.077851444 -0.02239949 0.020063825 0.063892769 -0.032015542

April-06 0.006202053 0.130472203 0.038600378 0.031722752 0.002791689

January-06 0.022676735 0.162188361 0.045865194 0.129397002 0.214231465

October-05 -0.012613544 0.018053872 -0.025222501 -0.052245226 0.048353897

WPSGX VEUAX ACIIX OREAX FRNRX

AM 0.021127296 0.021772836 0.017683558 0.02199825 0.015932795

Geometric mean 0.018702695 0.015752715 0.016558957 0.015720862 0.006318746

Standard Dev (Sample) 0.069798554 0.106143069 0.047582663 0.109667772 0.1319892

Standard Dev (Population) 0.06892055 0.104807883 0.046984115 0.108288248 0.130328893

Invested 10 years ago

10,000.00$ 20,984.48$ 18,686.14$ 19,288.70$ 18,662.72$ 12,865.38$

Coefficient of Variation 3.262156626 4.813699161 2.656937956 4.922584599 8.17991372

ACIIX shows the best return per unit of risk on GRAPH 2

Page 4: Andre Powell Term Project

PESPX Price relative RQ-WPSGX Price relative RQ-VEUAX Price relative RQ-ACIIX

0.007708197 1.02991453 1.004788548 0.9825416

0.04809874 1.058424385 1.072314845 1.021137173

0.014709417 0.9958499 0.985095842 1.006736343

0.037931097 1.0652427 0.946800252 1.039425292

0.013440812 1.027944156 0.962523204 1.014191529

0.035306675 1.051561987 1.063955822 1.074588418

0.021288962 1.020964396 1.022344761 0.996358641

0.049315884 1.034707125 1.110663119 1.019828959

0.064643387 1.072591875 1.070503588 1.03208166

0.063462845 1.083165327 1.026082682 1.061132681

0.118114603 1.042564301 1.150154112 1.054340162

0.045634219 1.052544427 1.114641804 1.028244413

-0.049846364 0.952079989 0.918192181 1.022044609

0.06134802 1.119693519 1.071078492 1.034490011

0.056480966 1.026013129 0.995292241 1.049008686

-0.057005604 1.014110551 0.896569875 0.994276291

-0.068755947 0.974821985 0.905398981 0.953499598

0.10015341 1.035869165 1.09811117 1.060869964

0.117977662 1.057596488 1.058908064 1.058006412

0.093434298 1.12776461 1.125615737 1.067081459

-0.074045209 0.919157078 0.948044478 0.960948931

0.173833494 1.071841889 1.040072829 1.080215604

0.068994093 1.036660663 0.987928541 1.029720926

0.051934941 1.051614987 1.055831235 1.033293446

0.122927324 1.082618999 1.228658627 1.090161946

0.131106532 1.14989659 1.064071375 1.011667301

-0.118590325 0.885891355 0.873573311 0.940536205

-0.287861636 0.811556594 0.636515872 0.86875053

-0.042805711 0.941935901 0.899435067 0.936929077

0.045505761 1.00640042 1.053571355 1.013442924

-0.112385093 0.895814649 0.828473014 0.91900078

0.062080017 1.05990685 1.094125033 1.051689058

-0.018221892 0.974138774 1.013444319 0.972884114

0.050495166 1.013232011 1.083969456 1.037793359

0.065034168 1.025839234 1.08769325 1.038426818

0.05771958 1.136747523 1.08815542 1.072690487

-0.073186744 0.922148556 0.977600511 1.020063825

0.03008784 1.006202053 1.130472203 1.038600378

0.116905918 1.022676735 1.162188361 1.045865194

-0.025578139 0.987386456 1.018053872 0.974777499

PESPX

0.024934784

0.021172526

0.084974307

0.083905405

23,118.78$

3.364994235

Page 5: Andre Powell Term Project

Price relative RQ-OREAX Price relative RQ-FRNRX Price relative RQ-PESPX

0.965341087 0.878575966 1.007708197

0.929427569 1.146919395 1.04809874

1.10937753 0.833112805 1.014709417

1.075335865 0.827243329 1.037931097

1.034665157 1.01105796 1.013440812

1.0961361 1.146685934 1.035306675

0.991595609 0.945059769 1.021288962

1.018627033 1.095238176 1.049315884

0.924128765 1.017256949 1.064643387

1.10030672 0.942636925 1.063462845

1.067117696 1.064075381 1.118114603

0.971489808 1.045065031 1.045634219

1.017594569 0.879921774 0.950153636

1.06485499 0.967576408 1.06134802

1.074772546 1.016475598 1.056480966

0.946461005 0.854249018 0.942994396

0.999465128 0.959776544 0.931244053

1.096542635 1.089868458 1.10015341

1.063806301 1.197865187 1.117977662

1.068261069 1.146004568 1.093434298

0.983114054 0.917622211 0.925954791

1.246122074 1.123770774 1.173833494

1.074923586 1.022838381 1.068994093

1.149775981 1.098009788 1.051934941

1.084757575 1.180931298 1.122927324

1.097535832 1.144669877 1.131106532

0.734539957 0.908181087 0.881409675

0.706729257 0.543765983 0.712138364

0.920142312 0.940803861 0.957194289

1.078768994 1.158693977 1.045505761

0.856627357 0.903180143 0.887614907

1.141480779 1.157610147 1.062080017

0.827089139 1.074788526 0.981778108

0.948515571 1.149802512 1.050495166

1.119338819 1.040213321 1.065034168

1.122394249 0.974403251 1.05771958

1.063892769 0.967984458 0.926813256

1.031722752 1.002791689 1.03008784

1.129397002 1.214231465 1.116905918

0.947754774 1.048353897 0.974421861

Page 6: Andre Powell Term Project

Covariance Matrix

WPSGX VEUAX ACIIX OREAX FRNRX PESPX

WPSGX 0.004750042 0.005418139 0.002595171 0.005074159 0.005247588 0.004991

VEUAX 0.005418139 0.010984692 0.004049658 0.007061291 0.011143416 0.007631

ACIIX 0.002595171 0.004049658 0.002207507 0.00410796 0.00402928 0.003431

OREAX 0.005074159 0.007061291 0.00410796 0.011726345 0.007271641 0.007041

FRNRX 0.005247588 0.011143416 0.00402928 0.007271641 0.01698562 0.008522

PEOPX 0.004990777 0.007631071 0.003430583 0.007041226 0.008521997 0.00704

Verified Inverse

1.000000000 0.000000000 0.000000000 0.000000000 0.000000000 0.000000000

0.000000000 1.000000000 0.000000000 0.000000000 0.000000000 0.000000000

0.000000000 0.000000000 1.000000000 0.000000000 0.000000000 0.000000000

0.000000000 0.000000000 0.000000000 1.000000000 0.000000000 0.000000000

0.000000000 0.000000000 0.000000000 0.000000000 1.000000000 0.000000000

0.000000000 0.000000000 0.000000000 0.000000000 0.000000000 1.000000000

Page 7: Andre Powell Term Project

Determinant 1.73239E-16

Inverse of the Covariance Matrix

947.8453835 -46.5264662 -300.615 56.07336 131.0497 -689.73

-46.52646622 558.8969217 -491.244 98.27306 -155.903 -243.02

-300.6153352 -491.24395 2841.084 -445.453 73.58369 -282.395

56.07335729 98.27305891 -445.453 295.7588 25.85042 -256.305

131.0497157 -155.902671 73.58369 25.85042 216.2898 -247.441

-689.7304083 -243.019636 -282.395 -256.305 -247.441 1587.894

Page 8: Andre Powell Term Project

Correlation Matrix

WPSGX VEUAX ACIIX OREAX FRNRX PESPX

WPSGX 1 0.75008 0.801431 0.679883 0.584211741 0.863037

VEUAX 0.750079815 1 0.822382 0.62217 0.815800013 0.867764

ACIIX 0.801431098 0.822382 1 0.807409 0.658014902 0.870216

OREAX 0.679882723 0.62217 0.807409 1 0.515240995 0.774956

FRNRX 0.584211741 0.8158 0.658015 0.515241 1 0.779311

PEOPX 0.86303713 0.867764 0.870216 0.774956 0.779310908 1

Verified the Inverse

1.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000

0.0000000 1.0000000 0.0000000 0.0000000 0.0000000 0.0000000

0.0000000 0.0000000 1.0000000 0.0000000 0.0000000 0.0000000

0.0000000 0.0000000 0.0000000 1.0000000 0.0000000 0.0000000

0.0000000 0.0000000 0.0000000 0.0000000 1.0000000 0.0000000

0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 1.0000000

Page 9: Andre Powell Term Project

Determinant 0.001073

Inverse of the Correlation Matrix

4.50230561 -0.33608 -0.97344 0.418491 1.177133 -3.98858

-0.336080066 6.139311 -2.41904 1.115346 -2.12955 -2.1371

-0.973443883 -2.41904 6.271714 -2.26639 0.450581 -1.11326

0.418491483 1.115346 -2.26639 3.468169 0.364829 -2.32878

1.177132969 -2.12955 0.450581 0.364829 3.673817 -2.70584

-3.988577604 -2.1371 -1.11326 -2.32878 -2.70584 11.17896

Page 10: Andre Powell Term Project

Date 3 Months T-bill Effective Quarterly Rates S&P 500 Dow jones Industrial

Jul-15 0.000075 -0.00388 -0.00463047

Apr-15 0.00005 0.045374 0.039357528

Jan-15 0.000075 -0.01143 -0.01297086

Oct-14 0.00005 0.045259 0.049942946

Jul-14 0.000075 0.024799 -0.001057847

Apr-14 0.000075 0.056861 0.056181822

Jan-14 0.0001 0.01483 0.009848351

Oct-13 0.000125 0.042006 0.002981379

Jul-13 0.0001 0.055184 0.044457472

Apr-13 0.00015 0.06639 0.070647837

Jan-13 0.000175 0.060864 0.058345538

Oct-12 0.00025 0.023809 0.006747802

Jul-12 0.00025 -0.0133 -0.015510499

Apr-12 0.0002 0.065147 0.045968823

Jan-12 0.000075 0.047163 0.05670426

Oct-11 0.00005 -0.03016 -0.015500805

Jul-11 0.0001 -0.05231 -0.05208992

Apr-11 0.00015 0.060251 0.077246502

Jan-11 0.000375 0.086929 0.069563403

Oct-10 0.000325 0.074129 0.06234987

Jul-10 0.0004 -0.0717 -0.049295052

Apr-10 0.0004 0.105059 0.093498475

Jan-10 0.00015 0.036364 0.036508788

Oct-09 0.000175 0.049328 0.058999456

Jul-09 0.00045 0.13138 0.122854463

Apr-09 0.0004 0.056824 0.020905253

Jan-09 0.000325 -0.14748 -0.141999848

Oct-08 0.001725 -0.23563 -0.180436491

Jul-08 0.00415 -0.08531 -0.112487939

Apr-08 0.003275 0.005107 0.013420171

Jan-08 0.00705 -0.11026 -0.09186282

Oct-07 0.01 0.064668 0.05434609

Jul-07 0.0124 -0.01828 0.011412465

Apr-07 0.012525 0.030683 0.034957284

Jan-07 0.012775 0.043761 0.044778751

Oct-06 0.012625 0.079332 0.080017487

Jul-06 0.0127 -0.0259 -0.015963558

Apr-06 0.0118 0.02385 0.046229772

Jan-06 0.01085 0.060538 0.040688425

Oct-05 0.009475 -0.02201 -0.018874326

Page 11: Andre Powell Term Project

Date WPSGX Initial $10k investment VEUAX Initial $10k investment ACIIX

July-05 10,000.00 10,000.00

October-05 -0.01261 9,873.86 0.018054 10,180.54 -0.02522

January-06 0.022677 10,097.77 0.162188 11,831.70 0.045865

April-06 0.006202 10,160.40 0.130472 13,375.41 0.0386

July-06 -0.07785 9,369.40 -0.0224 13,075.81 0.020064

October-06 0.136748 10,650.64 0.088155 14,228.51 0.07269

January-07 0.025839 10,925.84 0.087693 15,476.26 0.038427

April-07 0.013232 11,070.41 0.083969 16,775.79 0.037793

July-07 -0.02586 10,784.12 0.013444 17,001.33 -0.02712

October-07 0.059907 11,430.16 0.094125 18,601.58 0.051689

January-08 -0.10419 10,239.31 -0.17153 15,410.91 -0.081

April-08 0.0064 10,304.84 0.053571 16,236.49 0.013443

July-08 -0.05806 9,706.50 -0.10056 14,603.67 -0.06307

October-08 -0.18844 7,877.37 -0.36348 9,295.47 -0.13125

January-09 -0.11411 6,978.50 -0.12643 8,120.27 -0.05946

April-09 0.149897 8,024.55 0.064071 8,640.55 0.011667

July-09 0.082619 8,687.53 0.228659 10,616.29 0.090162

October-09 0.051615 9,135.94 0.055831 11,209.01 0.033293

January-10 0.036661 9,470.87 -0.01207 11,073.70 0.029721

April-10 0.071842 10,151.27 0.040073 11,517.45 0.080216

July-10 -0.08084 9,330.61 -0.05196 10,919.06 -0.03905

October-10 0.127765 10,522.74 0.125616 12,290.66 0.067081

January-11 0.057596 11,128.81 0.058908 13,014.68 0.058006

April-11 0.035869 11,527.99 0.098111 14,291.57 0.06087

July-11 -0.02518 11,237.74 -0.0946 12,939.57 -0.0465

October-11 0.014111 11,396.31 -0.10343 11,601.23 -0.00572

January-12 0.026013 11,692.76 -0.00471 11,546.61 0.049009

April-12 0.119694 13,092.31 0.071078 12,367.33 0.03449

July-12 -0.04792 12,464.93 -0.08181 11,355.58 0.022045

October-12 0.052544 13,119.89 0.114642 12,657.41 0.028244

January-13 0.042564 13,678.33 0.150154 14,557.97 0.05434

April-13 0.083165 14,815.89 0.026083 14,937.68 0.061133

July-13 0.072592 15,891.41 0.070504 15,990.84 0.032082

October-13 0.034707 16,442.95 0.110663 17,760.44 0.019829

January-14 0.020964 16,787.67 0.022345 18,157.29 -0.00364

April-14 0.051562 17,653.27 0.063956 19,318.55 0.074588

July-14 0.027944 18,146.58 -0.03748 18,594.56 0.014192

October-14 0.065243 19,330.51 -0.0532 17,605.33 0.039425

January-15 -0.00415 19,250.29 -0.0149 17,342.94 0.006736

April-15 0.058424 20,374.97 0.072315 18,597.09 0.021137

July-15 0.029915 20,984.48 0.004789 18,686.14 -0.01746

Date PR-WPSGXPR-ACIIX PR-OREAX PR-FRNRX PR-PESPX

Page 12: Andre Powell Term Project

July-05

Oct-05 0.987386 0.97 0.947755 1.048353897 0.974422

Jan-06 1.022677 1.05 1.129397 1.214231465 1.116906

Apr-06 1.006202 1.04 1.031723 1.002791689 1.030088

Jul-06 0.922149 1.02 1.063893 0.967984458 0.926813

Oct-06 1.136748 1.07 1.122394 0.974403251 1.05772

Jan-07 1.025839 1.04 1.119339 1.040213321 1.065034

Apr-07 1.013232 1.04 0.948516 1.149802512 1.050495

Jul-07 0.974139 0.97 0.827089 1.074788526 0.981778

Oct-07 1.059907 1.05 1.141481 1.157610147 1.06208

Jan-08 0.895815 0.92 0.856627 0.903180143 0.887615

Apr-08 1.0064 1.01 1.078769 1.158693977 1.045506

Jul-08 0.941936 0.94 0.920142 0.940803861 0.957194

Oct-08 0.811557 0.87 0.706729 0.543765983 0.712138

Jan-09 0.885891 0.94 0.73454 0.908181087 0.88141

Apr-09 1.149897 1.01 1.097536 1.144669877 1.131107

Jul-09 1.082619 1.09 1.084758 1.180931298 1.122927

Oct-09 1.051615 1.03 1.149776 1.098009788 1.051935

Jan-10 1.036661 1.03 1.074924 1.022838381 1.068994

Apr-10 1.071842 1.08 1.246122 1.123770774 1.173833

Jul-10 0.919157 0.96 0.983114 0.917622211 0.925955

Oct-10 1.127765 1.07 1.068261 1.146004568 1.093434

Jan-11 1.057596 1.06 1.063806 1.197865187 1.117978

Apr-11 1.035869 1.06 1.096543 1.089868458 1.100153

Jul-11 0.974822 0.95 0.999465 0.959776544 0.931244

Oct-11 1.014111 0.99 0.946461 0.854249018 0.942994

Jan-12 1.026013 1.05 1.074773 1.016475598 1.056481

Apr-12 1.119694 1.03 1.064855 0.967576408 1.061348

Jul-12 0.95208 1.02 1.017595 0.879921774 0.950154

Oct-12 1.052544 1.03 0.97149 1.045065031 1.045634

Jan-13 1.042564 1.05 1.067118 1.064075381 1.118115

Apr-13 1.083165 1.06 1.100307 0.942636925 1.063463

Jul-13 1.072592 1.03 0.924129 1.017256949 1.064643

Oct-13 1.034707 1.02 1.018627 1.095238176 1.049316

Jan-14 1.020964 1.00 0.991596 0.945059769 1.021289

Apr-14 1.051562 1.07 1.096136 1.146685934 1.035307

Jul-14 1.027944 1.01 1.034665 1.01105796 1.013441

Oct-14 1.065243 1.04 1.075336 0.827243329 1.037931

Jan-15 0.99585 1.01 1.109378 0.833112805 1.014709

Apr-15 1.058424 1.02 0.929428 1.146919395 1.048099

Jul-15 1.029915 0.98 0.965341 0.878575966 1.007708

Page 13: Andre Powell Term Project

Initial $10k investment OREAX Initial $10k investment FRNRX

10,000.00 10,000.00

9,747.77 -0.052245226 9,477.55 0.048354

10,194.86 0.129397002 10,703.91 0.214231

10,588.38 0.031722752 11,043.47 0.002792

10,800.83 0.063892769 11,749.07 -0.03202

11,585.94 0.122394249 13,187.09 -0.0256

12,031.16 0.119338819 14,760.82 0.040213

12,485.85 -0.051484429 14,000.87 0.149803

12,147.29 -0.172910861 11,579.97 0.074789

12,775.17 0.141480779 13,218.31 0.15761

11,740.39 -0.143372643 11,323.16 -0.09682

11,898.22 0.078768994 12,215.08 0.158694

11,147.79 -0.079857688 11,239.61 -0.0592

9,684.64 -0.293270743 7,943.36 -0.45623

9,108.76 -0.265460043 5,834.72 -0.09182

9,215.03 0.097535832 6,403.81 0.14467

10,045.88 0.084757575 6,946.58 0.180931

10,380.34 0.149775981 7,987.01 0.09801

10,688.85 0.074923586 8,585.43 0.022838

11,546.27 0.246122074 10,698.49 0.123771

11,095.37 -0.016885946 10,517.84 -0.08238

11,839.67 0.068261069 11,235.80 0.146005

12,526.44 0.063806301 11,952.71 0.197865

13,288.93 0.096542635 13,106.66 0.089868

12,670.99 -0.000534872 13,099.65 -0.04022

12,598.46 -0.053538995 12,398.31 -0.14575

13,215.90 0.074772546 13,325.36 0.016476

13,671.71 0.06485499 14,189.57 -0.03242

13,973.10 0.017594569 14,439.23 -0.12008

14,367.76 -0.028510192 14,027.57 0.045065

15,148.51 0.067117696 14,969.07 0.064075

16,074.58 0.10030672 16,470.56 -0.05736

16,590.28 -0.075871235 15,220.92 0.017257

16,919.24 0.018627033 15,504.44 0.095238

16,857.64 -0.008404391 15,374.14 -0.05494

18,115.02 0.0961361 16,852.15 0.146686

18,372.10 0.034665157 17,436.33 0.011058

19,096.42 0.075335865 18,749.91 -0.17276

19,225.06 0.10937753 20,800.73 -0.16689

19,631.43 -0.070572431 19,332.77 0.146919

19,288.70 -0.034658913 18,662.72 -0.12142

Price relative 5-fund Geometric mean 5-Fund

Page 14: Andre Powell Term Project

10,000.00$

0.986538898 -0.013461102 9865.388975

1.105815263 0.105815263 10909.2977

1.021880942 0.021880942 11148.00342

0.980180573 -0.019819427 10927.05637

1.072791018 0.072791018 11722.44793

1.057770472 0.057770472 12399.65928

1.039967724 0.039967724 12895.24544

0.966135732 -0.033864268 12458.55739

1.09455337 0.09455337 13636.55598

0.892447567 -0.107552433 12169.91121

1.060562415 0.060562415 12906.95043

0.939401088 -0.060598912 12124.80327

0.728588146 -0.271411854 8833.987934

0.870111656 -0.129888344 7686.555867

1.106975226 0.106975226 8508.82692

1.112279429 0.112279429 9464.193145

1.076925829 0.076925829 10192.23404

1.04662753 0.04662753 10667.47274

1.139156767 0.139156767 12151.92376

0.941359413 -0.058640587 11439.32781

1.100509201 0.100509201 12589.08551

1.09905041 0.09905041 13836.03959

1.076660726 0.076660726 14896.72044

0.963761462 -0.036238538 14356.88506

0.950418252 -0.049581748 13645.04561

1.044550185 0.044550185 14252.93491

1.04959259 0.04959259 14959.77486

0.964358915 -0.035641085 14426.59226

1.02859558 0.02859558 14839.12903

1.069242429 0.069242429 15866.62636

1.0501409 0.0501409 16662.19328

1.022140527 0.022140527 17031.10303

1.043543435 0.043543435 17772.69576

0.995053475 -0.004946525 17684.78268

1.080855823 0.080855823 19114.70034

1.020259923 0.020259923 19501.96268

1.009035656 0.009035656 19678.17572

0.991957199 -0.008042801 19519.90807

1.040801452 0.040801452 20316.34867

0.972816276 -0.027183724 19764.07465

Page 15: Andre Powell Term Project

Initial $10k investment PESPX Initial $10k investment Date

10,000.00 10,000.00 Jul-05

10,483.54 -0.02558 9,744.22 Oct-05

12,729.44 0.116906 10,883.38 Jan-06

12,764.98 0.030088 11,210.83 Apr-06

12,356.30 -0.07319 10,390.35 Jul-06

12,040.02 0.05772 10,990.07 Oct-06

12,524.19 0.065034 11,704.81 Jan-07

14,400.34 0.050495 12,295.84 Apr-07

15,477.33 -0.01822 12,071.79 Jul-07

17,916.71 0.06208 12,821.20 Oct-07

16,182.02 -0.11239 11,380.29 Jan-08

18,750.00 0.045506 11,898.16 Apr-08

17,640.08 -0.04281 11,388.85 Jul-08

9,592.07 -0.28786 8,110.44 Oct-08

8,711.34 -0.11859 7,148.62 Jan-09

9,971.61 0.131107 8,085.85 Apr-09

11,775.78 0.122927 9,079.82 Jul-09

12,929.93 0.051935 9,551.38 Oct-09

13,225.22 0.068994 10,210.37 Jan-10

14,862.12 0.173833 11,985.27 Apr-10

13,637.81 -0.07405 11,097.82 Jul-10

15,629.00 0.093434 12,134.74 Oct-10

18,721.43 0.117978 13,566.37 Jan-11

20,403.90 0.100153 14,925.09 Apr-11

19,583.18 -0.06876 13,898.90 Jul-11

16,728.91 -0.05701 13,106.58 Oct-11

17,004.53 0.056481 13,846.85 Jan-12

16,453.18 0.061348 14,696.33 Apr-12

14,477.51 -0.04985 13,963.77 Jul-12

15,129.94 0.045634 14,601.00 Oct-12

16,099.40 0.118115 16,325.59 Jan-13

15,175.89 0.063463 17,361.66 Apr-13

15,437.78 0.064643 18,483.98 Jul-13

16,908.05 0.049316 19,395.53 Oct-13

15,979.11 0.021289 19,808.44 Jan-14

18,323.02 0.035307 20,507.81 Apr-14

18,525.64 0.013441 20,783.45 Jul-14

15,325.21 0.037931 21,571.79 Oct-14

12,767.63 0.014709 21,889.10 Jan-15

14,643.44 0.048099 22,941.94 Apr-15

12,865.38 0.007708 23,118.78 Jul-15

Page 16: Andre Powell Term Project
Page 17: Andre Powell Term Project

PR-WPSGX PR-VEUAX PR-ACIIX PR-OREAX PR-FRNRX PR-PESPX Price relative 6-fund

0.987386456 1.018054 0.974777 0.947755 1.048354 0.974422 0.991791393

1.022676735 1.162188 1.045865 1.129397 1.214231 1.116906 1.115210779

1.006202053 1.130472 1.0386 1.031723 1.002792 1.030088 1.039979486

0.922148556 0.977601 1.020064 1.063893 0.967984 0.926813 0.979750562

1.136747523 1.088155 1.07269 1.122394 0.974403 1.05772 1.075351752

1.025839234 1.087693 1.038427 1.119339 1.040213 1.065034 1.062757602

1.013232011 1.083969 1.037793 0.948516 1.149803 1.050495 1.047301346

0.974138774 1.013444 0.972884 0.827089 1.074789 0.981778 0.974020496

1.05990685 1.094125 1.051689 1.141481 1.15761 1.06208 1.094481981

0.895814649 0.828473 0.919001 0.856627 0.90318 0.887615 0.881785142

1.00640042 1.053571 1.013443 1.078769 1.158694 1.045506 1.059397238

0.941935901 0.899435 0.936929 0.920142 0.940804 0.957194 0.932740084

0.811556594 0.636516 0.868751 0.706729 0.543766 0.712138 0.713242767

0.885891355 0.873573 0.940536 0.73454 0.908181 0.88141 0.870688598

1.14989659 1.064071 1.011667 1.097536 1.14467 1.131107 1.099824584

1.082618999 1.228659 1.090162 1.084758 1.180931 1.122927 1.131675962

1.051614987 1.055831 1.033293 1.149776 1.09801 1.051935 1.073410063

1.036660663 0.987929 1.029721 1.074924 1.022838 1.068994 1.036844365

1.071841889 1.040073 1.080216 1.246122 1.123771 1.173833 1.122642777

0.919157078 0.948044 0.960949 0.983114 0.917622 0.925955 0.94247359

1.12776461 1.125616 1.067081 1.068261 1.146005 1.093434 1.104693623

1.057596488 1.058908 1.058006 1.063806 1.197865 1.117978 1.092360019

1.035869165 1.098111 1.06087 1.096543 1.089868 1.100153 1.0802358

0.974821985 0.905399 0.9535 0.999465 0.959777 0.931244 0.954034382

1.014110551 0.89657 0.994276 0.946461 0.854249 0.942994 0.941443523

1.026013129 0.995292 1.049009 1.074773 1.016476 1.056481 1.036340528

1.119693519 1.071078 1.03449 1.064855 0.967576 1.061348 1.053173573

0.952079989 0.918192 1.022045 1.017595 0.879922 0.950154 0.95666446

1.052544427 1.114642 1.028244 0.97149 1.045065 1.045634 1.042936617

1.042564301 1.150154 1.05434 1.067118 1.064075 1.118115 1.082727709

1.083165327 1.026083 1.061133 1.100307 0.942637 1.063463 1.046131197

1.072591875 1.070504 1.032082 0.924129 1.017257 1.064643 1.030201038

1.034707125 1.110663 1.019829 1.018627 1.095238 1.049316 1.054730049

1.020964396 1.022345 0.996359 0.991596 0.94506 1.021289 0.999602023

1.051561987 1.063956 1.074588 1.096136 1.146686 1.035307 1.078039156

1.027944156 0.962523 1.014192 1.034665 1.011058 1.013441 1.010637136

1.0652427 0.9468 1.039425 1.075336 0.827243 1.037931 0.998663089

0.9958499 0.985096 1.006736 1.109378 0.833113 1.014709 0.99081364

1.058424385 1.072315 1.021137 0.929428 1.146919 1.048099 1.046053684

1.02991453 1.004789 0.982542 0.965341 0.878576 1.007708 0.978144988

Page 18: Andre Powell Term Project
Page 19: Andre Powell Term Project

Geomean 6-Fund

10,000.00$

-0.008209 9917.91393

0.1152108 11060.5645

0.0399795 11502.7602

-0.020249 11269.8358

0.0753518 12119.0376

0.0627576 12879.5994

0.0473013 13488.8218

-0.02598 13138.3889

0.094482 14379.7299

-0.118215 12679.8322

0.0593972 13432.9792

-0.06726 12529.4781

-0.286757 8936.55964

-0.129311 7780.96059

0.0998246 8557.69174

0.131676 9684.53403

0.0734101 10395.4763

0.0368444 10778.491

0.1226428 12100.3951

-0.057526 11404.3028

0.1046936 12598.2606

0.09236 13761.8362

0.0802358 14866.0281

-0.045966 14182.7019

-0.058556 13352.2129

0.0363405 13837.4393

0.0531736 14573.2254

-0.043336 13941.6868

0.0429366 14540.2957

0.0827277 15743.181

0.0461312 16469.4328

0.030201 16966.8268

0.05473 17895.422

-0.000398 17888.3001

0.0780392 19284.2879

0.0106371 19489.4175

-0.001337 19463.3619

-0.009186 19284.5644

0.0460537 20172.6897

-0.021855 19731.8153

Page 20: Andre Powell Term Project

Date WPSGX ACIIX OREAX FRNRX PESPX

Jul-15 0.02991453 -0.01746 -0.03466 -0.12142 0.007708

Apr-15 0.058424385 0.021137 -0.07057 0.146919 0.048099

Jan-15 -0.0041501 0.006736 0.109378 -0.16689 0.014709

Oct-14 0.0652427 0.039425 0.075336 -0.17276 0.037931

Jul-14 0.027944156 0.014192 0.034665 0.011058 0.013441

Apr-14 0.051561987 0.074588 0.096136 0.146686 0.035307

Jan-14 0.020964396 -0.00364 -0.0084 -0.05494 0.021289

Oct-13 0.034707125 0.019829 0.018627 0.095238 0.049316

Jul-13 0.072591875 0.032082 -0.07587 0.017257 0.064643

Apr-13 0.083165327 0.061133 0.100307 -0.05736 0.063463

Jan-13 0.042564301 0.05434 0.067118 0.064075 0.118115

Oct-12 0.052544427 0.028244 -0.02851 0.045065 0.045634

Jul-12 -0.047920011 0.022045 0.017595 -0.12008 -0.04985

Apr-12 0.119693519 0.03449 0.064855 -0.03242 0.061348

Jan-12 0.026013129 0.049009 0.074773 0.016476 0.056481

Oct-11 0.014110551 -0.00572 -0.05354 -0.14575 -0.05701

Jul-11 -0.025178015 -0.0465 -0.00053 -0.04022 -0.06876

Apr-11 0.035869165 0.06087 0.096543 0.089868 0.100153

Jan-11 0.057596488 0.058006 0.063806 0.197865 0.117978

Oct-10 0.12776461 0.067081 0.068261 0.146005 0.093434

Jul-10 -0.080842922 -0.03905 -0.01689 -0.08238 -0.07405

Apr-10 0.071841889 0.080216 0.246122 0.123771 0.173833

Jan-10 0.036660663 0.029721 0.074924 0.022838 0.068994

Oct-09 0.051614987 0.033293 0.149776 0.09801 0.051935

Jul-09 0.082618999 0.090162 0.084758 0.180931 0.122927

Apr-09 0.14989659 0.011667 0.097536 0.14467 0.131107

Jan-09 -0.114108645 -0.05946 -0.26546 -0.09182 -0.11859

Oct-08 -0.188443406 -0.13125 -0.29327 -0.45623 -0.28786

Jul-08 -0.058064099 -0.06307 -0.07986 -0.0592 -0.04281

Apr-08 0.00640042 0.013443 0.078769 0.158694 0.045506

Jan-08 -0.104185351 -0.081 -0.14337 -0.09682 -0.11239

Oct-07 0.05990685 0.051689 0.141481 0.15761 0.06208

Jul-07 -0.025861226 -0.02712 -0.17291 0.074789 -0.01822

Apr-07 0.013232011 0.037793 -0.05148 0.149803 0.050495

Jan-07 0.025839234 0.038427 0.119339 0.040213 0.065034

Oct-06 0.136747523 0.07269 0.122394 -0.0256 0.05772

Jul-06 -0.077851444 0.020064 0.063893 -0.03202 -0.07319

Apr-06 0.006202053 0.0386 0.031723 0.002792 0.030088

Jan-06 0.022676735 0.045865 0.129397 0.214231 0.116906

Oct-05 -0.012613544 -0.02522 -0.05225 0.048354 -0.02558

AM 0.021127296 0.017684 0.021998 0.015933 0.024935

Geometric Mean 0.018702695 0.016559 0.015721 0.006319 0.021173

E(RP) 0.020335337

Geometric Mean (RP) 0.017177891

Sigma of the portfolio 0.076767284

Page 21: Andre Powell Term Project

Invested 10 years ago in 5-fund

10,000.00$ 19,764.07$

Coefficient of Variation 3.775068215

Sigma of the portfolio E(RP) Ones Ones

0.076923 0 1

0.068916 0.002 1

0.061256 0.004 1

0.054090 0.006 1

0.047642 0.008 1

0.042242 0.01 1

0.038335 0.012 1

0.036405 0.014 1

0.036765 0.016 1

0.039352 0.018 1

0.043773 0.02 1

0.049539 0.022 1

0.056239 0.024 1

0.063577 0.026 1

0.071357 0.028 1

0.079449 0.03 1

0.087767 0.032 1

0.096253 0.034 1

0.104865 0.036 1

0.113576 0.038 1

0.122363 0.04 1

0.131212 0.042 1

0.140110 0.044 1

0.149050 0.046 1

0.158024 0.048 1

0.167026 0.05 1

0.176052 0.052 1

0.185099 0.054 1

0.194164 0.056 1

0.203243 0.058 1

0.212337 0.06 1

Page 22: Andre Powell Term Project

PR-WPSGX PR-ACIIX PR-OREAX PR-FRNRX PR-PESPX Price relative 5-fund

1.02991453 0.982542 0.965341 0.878576 1.007708 0.972816276

1.05842439 1.021137 0.929428 1.146919 1.048099 1.040801452

0.9958499 1.006736 1.109378 0.833113 1.014709 0.991957199

1.0652427 1.039425 1.075336 0.827243 1.037931 1.009035656

1.02794416 1.014192 1.034665 1.011058 1.013441 1.020259923

1.05156199 1.074588 1.096136 1.146686 1.035307 1.080855823

1.0209644 0.996359 0.991596 0.94506 1.021289 0.995053475

1.03470712 1.019829 1.018627 1.095238 1.049316 1.043543435

1.07259188 1.032082 0.924129 1.017257 1.064643 1.022140527

1.08316533 1.061133 1.100307 0.942637 1.063463 1.0501409

1.0425643 1.05434 1.067118 1.064075 1.118115 1.069242429

1.05254443 1.028244 0.97149 1.045065 1.045634 1.02859558

0.95207999 1.022045 1.017595 0.879922 0.950154 0.964358915

1.11969352 1.03449 1.064855 0.967576 1.061348 1.04959259

1.02601313 1.049009 1.074773 1.016476 1.056481 1.044550185

1.01411055 0.994276 0.946461 0.854249 0.942994 0.950418252

0.97482199 0.9535 0.999465 0.959777 0.931244 0.963761462

1.03586916 1.06087 1.096543 1.089868 1.100153 1.076660726

1.05759649 1.058006 1.063806 1.197865 1.117978 1.09905041

1.12776461 1.067081 1.068261 1.146005 1.093434 1.100509201

0.91915708 0.960949 0.983114 0.917622 0.925955 0.941359413

1.07184189 1.080216 1.246122 1.123771 1.173833 1.139156767

1.03666066 1.029721 1.074924 1.022838 1.068994 1.04662753

1.05161499 1.033293 1.149776 1.09801 1.051935 1.076925829

1.082619 1.090162 1.084758 1.180931 1.122927 1.112279429

1.14989659 1.011667 1.097536 1.14467 1.131107 1.106975226

0.88589135 0.940536 0.73454 0.908181 0.88141 0.870111656

0.81155659 0.868751 0.706729 0.543766 0.712138 0.728588146

0.9419359 0.936929 0.920142 0.940804 0.957194 0.939401088

1.00640042 1.013443 1.078769 1.158694 1.045506 1.060562415

0.89581465 0.919001 0.856627 0.90318 0.887615 0.892447567

1.05990685 1.051689 1.141481 1.15761 1.06208 1.09455337

0.97413877 0.972884 0.827089 1.074789 0.981778 0.966135732

1.01323201 1.037793 0.948516 1.149803 1.050495 1.039967724

1.02583923 1.038427 1.119339 1.040213 1.065034 1.057770472

1.13674752 1.07269 1.122394 0.974403 1.05772 1.072791018

0.92214856 1.020064 1.063893 0.967984 0.926813 0.980180573

1.00620205 1.0386 1.031723 1.002792 1.030088 1.021880942 0.021127

1.02267674 1.045865 1.129397 1.214231 1.116906 1.105815263 0.017684

0.98738646 0.974777 0.947755 1.048354 0.974422 0.986538898 µ= 0.021998

0.015933

0.024935

Weights 0.2

0.2

0.2

Page 23: Andre Powell Term Project

0.2

0.2

1

Global Minimum Variance Portfolio

1 weights 0.098409 MU (P) 0.014691

1 1.511473 Stdev (P) 0.036265 {=SQRT(MMULT(TRANSPOSE(J53:J57),MMULT(Q38:U42,J53:J57)))}

1 -0.23233

1 -0.04543

1 -0.33213

1

Page 24: Andre Powell Term Project

0.00475 0.002595 0.005074 0.005248 0.004991

0.002595 0.002208 0.004108 0.004029 0.003431

V= 0.005074 0.004108 0.011726 0.007272 0.007041

0.005248 0.004029 0.007272 0.016986 0.008522

0.004991 0.003431 0.007041 0.008522 0.00704

0.021127 1

Page 25: Andre Powell Term Project

0.017684 1

µ= 0.021998 1

0.015933 1

0.024935 1

{=SQRT(MMULT(TRANSPOSE(J53:J57),MMULT(Q38:U42,J53:J57)))}

Page 26: Andre Powell Term Project

Date WPSGX VEUAX ACIIX OREAX

Jul-15 0.02991453 0.004789 -0.01746 -0.034658913

Apr-15 0.05842439 0.072315 0.021137 -0.070572431

Jan-15 -0.0041501 -0.0149 0.006736 0.10937753

Oct-14 0.0652427 -0.0532 0.039425 0.075335865

Jul-14 0.02794416 -0.03748 0.014192 0.034665157

Apr-14 0.05156199 0.063956 0.074588 0.0961361

Jan-14 0.0209644 0.022345 -0.00364 -0.008404391

Oct-13 0.03470712 0.110663 0.019829 0.018627033

Jul-13 0.07259188 0.070504 0.032082 -0.075871235

Apr-13 0.08316533 0.026083 0.061133 0.10030672

Jan-13 0.0425643 0.150154 0.05434 0.067117696

Oct-12 0.05254443 0.114642 0.028244 -0.028510192

Jul-12 -0.04792001 -0.08181 0.022045 0.017594569

Apr-12 0.11969352 0.071078 0.03449 0.06485499

Jan-12 0.02601313 -0.00471 0.049009 0.074772546

Oct-11 0.01411055 -0.10343 -0.00572 -0.053538995

Jul-11 -0.02517801 -0.0946 -0.0465 -0.000534872

Apr-11 0.03586916 0.098111 0.06087 0.096542635

Jan-11 0.05759649 0.058908 0.058006 0.063806301

Oct-10 0.12776461 0.125616 0.067081 0.068261069

Jul-10 -0.08084292 -0.05196 -0.03905 -0.016885946

Apr-10 0.07184189 0.040073 0.080216 0.246122074

Jan-10 0.03666066 -0.01207 0.029721 0.074923586

Oct-09 0.05161499 0.055831 0.033293 0.149775981

Jul-09 0.082619 0.228659 0.090162 0.084757575

Apr-09 0.14989659 0.064071 0.011667 0.097535832

Jan-09 -0.11410865 -0.12643 -0.05946 -0.265460043

Oct-08 -0.18844341 -0.36348 -0.13125 -0.293270743

Jul-08 -0.0580641 -0.10056 -0.06307 -0.079857688

Apr-08 0.00640042 0.053571 0.013443 0.078768994

Jan-08 -0.10418535 -0.17153 -0.081 -0.143372643

Oct-07 0.05990685 0.094125 0.051689 0.141480779

Jul-07 -0.02586123 0.013444 -0.02712 -0.172910861

Apr-07 0.01323201 0.083969 0.037793 -0.051484429

Jan-07 0.02583923 0.087693 0.038427 0.119338819

Oct-06 0.13674752 0.088155 0.07269 0.122394249

Jul-06 -0.07785144 -0.0224 0.020064 0.063892769

Apr-06 0.00620205 0.130472 0.0386 0.031722752

Jan-06 0.02267674 0.162188 0.045865 0.129397002

Oct-05 -0.01261354 0.018054 -0.02522 -0.052245226

AM 0.0211273 0.021773 0.017684 0.02199825

Geometric mean 0.0187027 0.015753 0.016559 0.015720862

E(RP) 0.02057492

Geometric Mean (RP) 0.01713635

Sigma of the portfolio 0.07974303

Page 27: Andre Powell Term Project

Invested 10 years ago in 6-fund portfolio

10,000.00$ 19,731.82$

Coefficient of Variation 3.87573957

Sigma of the portfolio E(RP) Ones

0.07502079 0 1

0.066879547 0.002 1

0.059058708 0.004 1

0.051703873 0.006 1 A=

0.045043893 0.008 1

0.039432428 0.01 1 Risky Portfolio

0.035372061 0.012 1 Y (Weights)

0.033432788 0.014 1 3.422162548

0.033979732 0.016 1

0.036902512 0.018 1

0.041704566 0.02 1

0.047823096 0.022 1

0.054819053 0.024 1

0.062398003 0.026 1

0.070371837 0.028 1

0.078620495 0.03 1

0.087065902 0.032 1

0.09565596 0.034 1

0.104354954 0.036 1

0.113137758 0.038 1

0.121986272 0.04 1

0.130887169 0.042 1

0.139830447 0.044 1

0.148808464 0.046 1

0.157815292 0.048 1

0.166846264 0.05 1

0.175897663 0.052 1

0.184966489 0.054 1

0.194050299 0.056 1

0.203147082 0.058 1

0.212255172 0.06 1

Page 28: Andre Powell Term Project

FRNRX PESPX PR-WPSGX PR-VEUAX PR-ACIIX PR-OREAX PR-FRNRX PR-PESPX

-0.12142 0.007708 1.029915 1.004788548 0.982542 0.965341 0.878576 1.007708

0.146919 0.048099 1.058424 1.072314845 1.021137 0.929428 1.146919 1.048099

-0.16689 0.014709 0.99585 0.985095842 1.006736 1.109378 0.833113 1.014709

-0.17276 0.037931 1.065243 0.946800252 1.039425 1.075336 0.827243 1.037931

0.011058 0.013441 1.027944 0.962523204 1.014192 1.034665 1.011058 1.013441

0.146686 0.035307 1.051562 1.063955822 1.074588 1.096136 1.146686 1.035307

-0.05494 0.021289 1.020964 1.022344761 0.996359 0.991596 0.94506 1.021289

0.095238 0.049316 1.034707 1.110663119 1.019829 1.018627 1.095238 1.049316

0.017257 0.064643 1.072592 1.070503588 1.032082 0.924129 1.017257 1.064643

-0.05736 0.063463 1.083165 1.026082682 1.061133 1.100307 0.942637 1.063463

0.064075 0.118115 1.042564 1.150154112 1.05434 1.067118 1.064075 1.118115

0.045065 0.045634 1.052544 1.114641804 1.028244 0.97149 1.045065 1.045634

-0.12008 -0.04985 0.95208 0.918192181 1.022045 1.017595 0.879922 0.950154

-0.03242 0.061348 1.119694 1.071078492 1.03449 1.064855 0.967576 1.061348

0.016476 0.056481 1.026013 0.995292241 1.049009 1.074773 1.016476 1.056481

-0.14575 -0.05701 1.014111 0.896569875 0.994276 0.946461 0.854249 0.942994

-0.04022 -0.06876 0.974822 0.905398981 0.9535 0.999465 0.959777 0.931244

0.089868 0.100153 1.035869 1.09811117 1.06087 1.096543 1.089868 1.100153

0.197865 0.117978 1.057596 1.058908064 1.058006 1.063806 1.197865 1.117978

0.146005 0.093434 1.127765 1.125615737 1.067081 1.068261 1.146005 1.093434

-0.08238 -0.07405 0.919157 0.948044478 0.960949 0.983114 0.917622 0.925955

0.123771 0.173833 1.071842 1.040072829 1.080216 1.246122 1.123771 1.173833

0.022838 0.068994 1.036661 0.987928541 1.029721 1.074924 1.022838 1.068994

0.09801 0.051935 1.051615 1.055831235 1.033293 1.149776 1.09801 1.051935

0.180931 0.122927 1.082619 1.228658627 1.090162 1.084758 1.180931 1.122927

0.14467 0.131107 1.149897 1.064071375 1.011667 1.097536 1.14467 1.131107

-0.09182 -0.11859 0.885891 0.873573311 0.940536 0.73454 0.908181 0.88141

-0.45623 -0.28786 0.811557 0.636515872 0.868751 0.706729 0.543766 0.712138

-0.0592 -0.04281 0.941936 0.899435067 0.936929 0.920142 0.940804 0.957194

0.158694 0.045506 1.0064 1.053571355 1.013443 1.078769 1.158694 1.045506

-0.09682 -0.11239 0.895815 0.828473014 0.919001 0.856627 0.90318 0.887615

0.15761 0.06208 1.059907 1.094125033 1.051689 1.141481 1.15761 1.06208

0.074789 -0.01822 0.974139 1.013444319 0.972884 0.827089 1.074789 0.981778

0.149803 0.050495 1.013232 1.083969456 1.037793 0.948516 1.149803 1.050495

0.040213 0.065034 1.025839 1.08769325 1.038427 1.119339 1.040213 1.065034

-0.0256 0.05772 1.136748 1.08815542 1.07269 1.122394 0.974403 1.05772

-0.03202 -0.07319 0.922149 0.977600511 1.020064 1.063893 0.967984 0.926813

0.002792 0.030088 1.006202 1.130472203 1.0386 1.031723 1.002792 1.030088

0.214231 0.116906 1.022677 1.162188361 1.045865 1.129397 1.214231 1.116906

0.048354 -0.02558 0.987386 1.018053872 0.974777 0.947755 1.048354 0.974422

0.015933 0.024935

0.006319 0.021173

Page 29: Andre Powell Term Project

Global Minimum Variance Portfolio weights 0.108976

MU (P) 0.014567 -0.31052

Stdev (P) 0.03333 1.549672

-0.25085

3 0.048247

-0.14553

Risk Free asset 1

1-Y (Weights)

-2.42216

Rf(Quarterly rate)= 0.003162

mu-Rf 0.017965 {=P38-$J$64} Z

0.018611 =P39-$J$64 -0.49049

0.014522 =P40-$J$64 -2.9991

0.018836 =P41-$J$64 13.11456

0.012771 =P42-$J$64 -3.31174

0.021773 =P43-$J$64 -1.61693

5.570192

10.26649

Expected return

Variance

Standard deviation

sigma

0

0.039454

Page 30: Andre Powell Term Project

Price relative 6-fund

0.978144988

1.046053684

0.99081364

0.998663089

1.010637136

1.078039156

0.999602023

1.054730049

1.030201038

1.046131197

1.082727709

1.042936617

0.95666446

1.053173573

1.036340528

0.941443523

0.954034382

1.0802358

1.092360019

1.104693623

0.94247359

1.122642777

1.036844365

1.073410063

1.131675962

1.099824584

0.870688598

0.713242767

0.932740084

1.059397238

0.881785142

1.094481981

0.974020496

1.047301346

1.062757602

1.075351752 0.00475 0.005418 0.002595

0.979750562 0.021127 0.005418 0.010985 0.00405

1.039979486 0.021773 V= 0.002595 0.00405 0.002208

1.115210779 µ= 0.017684 0.005074 0.007061 0.004108

0.991791393 0.021998 0.005248 0.011143 0.004029

0.015933 0.004991 0.007631 0.003431

0.024935

Weights= 0.166667

0.166667

0.166667

Page 31: Andre Powell Term Project

0.166667

0.166667

0.166667

1

Ones 1 0.021127 1

1 0.021773 1

1 µ= 0.017684 1

1 0.021998 1

1 0.015933 1

1 0.024935 1

B=market for Rf=0.00316188

-0.04778

-0.29213

1.277415

-0.32258

-0.1575

0.542561

1

Expected return 0.019143

0.001557

Standard deviation 0.039454

Rp

0.00316188 <-----Rf

0.01914259 <----Optimal Portolio

Page 32: Andre Powell Term Project

0.005074 0.005248 0.004991

0.007061 0.011143 0.007631

0.004108 0.004029 0.003431

0.011726 0.007272 0.007041

0.007272 0.016986 0.008522

0.007041 0.008522 0.00704

Page 33: Andre Powell Term Project

Date WPSGX VEUAX ACIIX OREAX FRNRX

July-15 0.029915 0.004789 -0.01746 -0.03466 -0.12142

April-15 0.058424 0.072315 0.021137 -0.07057 0.146919

January-15 -0.00415 -0.0149 0.006736 0.109378 -0.16689

October-14 0.065243 -0.0532 0.039425 0.075336 -0.17276

July-14 0.027944 -0.03748 0.014192 0.034665 0.011058

April-14 0.051562 0.063956 0.074588 0.096136 0.146686

January-14 0.020964 0.022345 -0.00364 -0.0084 -0.05494

October-13 0.034707 0.110663 0.019829 0.018627 0.095238

July-13 0.072592 0.070504 0.032082 -0.07587 0.017257

April-13 0.083165 0.026083 0.061133 0.100307 -0.05736

January-13 0.042564 0.150154 0.05434 0.067118 0.064075

October-12 0.052544 0.114642 0.028244 -0.02851 0.045065

July-12 -0.04792 -0.08181 0.022045 0.017595 -0.12008

April-12 0.119694 0.071078 0.03449 0.064855 -0.03242

January-12 0.026013 -0.00471 0.049009 0.074773 0.016476

October-11 0.014111 -0.10343 -0.00572 -0.05354 -0.14575

July-11 -0.02518 -0.0946 -0.0465 -0.00053 -0.04022

April-11 0.035869 0.098111 0.06087 0.096543 0.089868

January-11 0.057596 0.058908 0.058006 0.063806 0.197865

October-10 0.127765 0.125616 0.067081 0.068261 0.146005

July-10 -0.08084 -0.05196 -0.03905 -0.01689 -0.08238

April-10 0.071842 0.040073 0.080216 0.246122 0.123771

January-10 0.036661 -0.01207 0.029721 0.074924 0.022838

October-09 0.051615 0.055831 0.033293 0.149776 0.09801

July-09 0.082619 0.228659 0.090162 0.084758 0.180931

April-09 0.149897 0.064071 0.011667 0.097536 0.14467

January-09 -0.11411 -0.12643 -0.05946 -0.26546 -0.09182

October-08 -0.18844 -0.36348 -0.13125 -0.29327 -0.45623

July-08 -0.05806 -0.10056 -0.06307 -0.07986 -0.0592

April-08 0.0064 0.053571 0.013443 0.078769 0.158694

January-08 -0.10419 -0.17153 -0.081 -0.14337 -0.09682

October-07 0.059907 0.094125 0.051689 0.141481 0.15761

July-07 -0.02586 0.013444 -0.02712 -0.17291 0.074789

April-07 0.013232 0.083969 0.037793 -0.05148 0.149803

January-07 0.025839 0.087693 0.038427 0.119339 0.040213

October-06 0.136748 0.088155 0.07269 0.122394 -0.0256

July-06 -0.07785 -0.0224 0.020064 0.063893 -0.03202

April-06 0.006202 0.130472 0.0386 0.031723 0.002792

January-06 0.022677 0.162188 0.045865 0.129397 0.214231

October-05 -0.01261 0.018054 -0.02522 -0.05225 0.048354

AM 0.021127 0.021773 0.017684 0.021998 0.015933

Sigma 0.068921 0.104808 0.046984 0.108288 0.130329

Beta (copied from part 2) 0.895546 1.284623 0.63711 1.239718 1.333355

Sharpe Measure 0.260669 0.177572 0.309076 0.173947 0.09799

Treynor Measure 0.020061 0.014487 0.022793 0.015194 0.009578

Page 34: Andre Powell Term Project

Geometric mean 0.018703 0.015753 0.016559 0.015721 0.006319

E(RP) Portfolio 6-fund 0.020575

Geometric Mean of the 6-fund 0.017136

Sigma of the 6-fund 0.079743

Beta of portfolio 6-fund 1.088351 {=MMULT(TRANSPOSE(G55:G60),I55:I60)}

Optimal portfolio ER 0.019143

Standard deviation optimal portfolio 0.039454

Beta of optimal portfolio 0.404278 {=MMULT(TRANSPOSE(G66:G71),I55:I60)}

Sharpe Measure of the 6-fund 0.218364

Sharpe measure of optimal portfolio 0.485192 =B53/B54 Weights

Treynor Measure of 6-fund 0.015999

Treynor Measure of optimal portfolio 0.04735

Geometric Mean of the optimal portfolio 0.018373

Weights

PR-WPSGX PR-VEUAX PR-ACIIX PR-OREAX PR-FRNRX

Oct-05 0.987386 1.018054 0.974777 0.947755 1.048354

Jan-06 1.022677 1.162188 1.045865 1.129397 1.214231

Apr-06 1.006202 1.130472 1.0386 1.031723 1.002792

Jul-06 0.922149 0.977601 1.020064 1.063893 0.967984

Oct-06 1.136748 1.088155 1.07269 1.122394 0.974403

Jan-07 1.025839 1.087693 1.038427 1.119339 1.040213

Apr-07 1.013232 1.083969 1.037793 0.948516 1.149803

Jul-07 0.974139 1.013444 0.972884 0.827089 1.074789

Oct-07 1.059907 1.094125 1.051689 1.141481 1.15761

Jan-08 0.895815 0.828473 0.919001 0.856627 0.90318

Apr-08 1.0064 1.053571 1.013443 1.078769 1.158694

Jul-08 0.941936 0.899435 0.936929 0.920142 0.940804

Oct-08 0.811557 0.636516 0.868751 0.706729 0.543766

Jan-09 0.885891 0.873573 0.940536 0.73454 0.908181

Apr-09 1.149897 1.064071 1.011667 1.097536 1.14467

Jul-09 1.082619 1.228659 1.090162 1.084758 1.180931

Oct-09 1.051615 1.055831 1.033293 1.149776 1.09801

Jan-10 1.036661 0.987929 1.029721 1.074924 1.022838

Page 35: Andre Powell Term Project

Apr-10 1.071842 1.040073 1.080216 1.246122 1.123771

Jul-10 0.919157 0.948044 0.960949 0.983114 0.917622

Oct-10 1.127765 1.125616 1.067081 1.068261 1.146005

Jan-11 1.057596 1.058908 1.058006 1.063806 1.197865

Apr-11 1.035869 1.098111 1.06087 1.096543 1.089868

Jul-11 0.974822 0.905399 0.9535 0.999465 0.959777

Oct-11 1.014111 0.89657 0.994276 0.946461 0.854249

Jan-12 1.026013 0.995292 1.049009 1.074773 1.016476

Apr-12 1.119694 1.071078 1.03449 1.064855 0.967576

Jul-12 0.95208 0.918192 1.022045 1.017595 0.879922

Oct-12 1.052544 1.114642 1.028244 0.97149 1.045065

Jan-13 1.042564 1.150154 1.05434 1.067118 1.064075

Apr-13 1.083165 1.026083 1.061133 1.100307 0.942637

Jul-13 1.072592 1.070504 1.032082 0.924129 1.017257

Oct-13 1.034707 1.110663 1.019829 1.018627 1.095238

Jan-14 1.020964 1.022345 0.996359 0.991596 0.94506

Apr-14 1.051562 1.063956 1.074588 1.096136 1.146686

Jul-14 1.027944 0.962523 1.014192 1.034665 1.011058

Oct-14 1.065243 0.9468 1.039425 1.075336 0.827243

Jan-15 0.99585 0.985096 1.006736 1.109378 0.833113

Apr-15 1.058424 1.072315 1.021137 0.929428 1.146919

Jul-15 1.029915 1.004789 0.982542 0.965341 0.878576

Page 36: Andre Powell Term Project

PESPX S&P 500 3 Months T-bill Effective Quarterly Rates PR-WPSGX PR-VEUAX

0.007708 -0.00388 0.000075 1.02991453 1.004788548

0.048099 0.045374 0.00005 1.058424385 1.072314845

0.014709 -0.01143 0.000075 0.9958499 0.985095842

0.037931 0.045259 0.00005 1.0652427 0.946800252

0.013441 0.024799 0.000075 1.027944156 0.962523204

0.035307 0.056861 0.000075 1.051561987 1.063955822

0.021289 0.01483 0.0001 1.020964396 1.022344761

0.049316 0.042006 0.000125 1.034707125 1.110663119

0.064643 0.055184 0.0001 1.072591875 1.070503588

0.063463 0.06639 0.00015 1.083165327 1.026082682

0.118115 0.060864 0.000175 1.042564301 1.150154112

0.045634 0.023809 0.00025 1.052544427 1.114641804

-0.04985 -0.0133 0.00025 0.952079989 0.918192181

0.061348 0.065147 0.0002 1.119693519 1.071078492

0.056481 0.047163 0.000075 1.026013129 0.995292241

-0.05701 -0.03016 0.00005 1.014110551 0.896569875

-0.06876 -0.05231 0.0001 0.974821985 0.905398981

0.100153 0.060251 0.00015 1.035869165 1.09811117

0.117978 0.086929 0.000375 1.057596488 1.058908064

0.093434 0.074129 0.000325 1.12776461 1.125615737

-0.07405 -0.0717 0.0004 0.919157078 0.948044478

0.173833 0.105059 0.0004 1.071841889 1.040072829

0.068994 0.036364 0.00015 1.036660663 0.987928541

0.051935 0.049328 0.000175 1.051614987 1.055831235

0.122927 0.13138 0.00045 1.082618999 1.228658627

0.131107 0.056824 0.0004 1.14989659 1.064071375

-0.11859 -0.14748 0.000325 0.885891355 0.873573311

-0.28786 -0.23563 0.001725 0.811556594 0.636515872

-0.04281 -0.08531 0.00415 0.941935901 0.899435067

0.045506 0.005107 0.003275 1.00640042 1.053571355

-0.11239 -0.11026 0.00705 0.895814649 0.828473014

0.06208 0.064668 0.01 1.05990685 1.094125033

-0.01822 -0.01828 0.0124 0.974138774 1.013444319

0.050495 0.030683 0.012525 1.013232011 1.083969456

0.065034 0.043761 0.012775 1.025839234 1.08769325

0.05772 0.079332 0.012625 1.136747523 1.08815542

-0.07319 -0.0259 0.0127 0.922148556 0.977600511

0.030088 0.02385 0.0118 1.006202053 1.130472203

0.116906 0.060538 0.01085 1.022676735 1.162188361

-0.02558 -0.02201 0.009475 0.987386456 1.018053872

0.024935 0.015706 0.003161875

0.083905

1.139752 Name Sharpe Measure

0.259494 Optimal Portfolio 0.485191901

0.019103 ACIIX 0.309076429

Page 37: Andre Powell Term Project

0.021173 WPSGX 0.260668573

PESPX 0.259493523

6-fund 0.218364472

VEUAX 0.17757215

OREAX 0.173946625

FRNRX 0.097989941

Beta

0.166667 0.895546325 Name Treynor Measure

0.166667 1.284623192 Optimal Portfolio 0.047350091

0.166667 0.637109694 ACIIX 0.022793065

0.166667 1.239717937 WPSGX 0.020060851

0.166667 1.333355228 PESPX 0.019103194

0.166667 1.139752319 6-fund 0.015999479

1 OREAX 0.015194081

VEUAX 0.014487487

FRNRX 0.009578033

B=market for Rf=0.00316188

-0.04778

-0.29213

1.277415

-0.32258

-0.1575

0.542561

1

PR-PESPX Optimal Portfolio

0.974422 0.958469 {=(B76*$G$66+C76*$G$67+D76*$G$68+E76*$G$69+F76*$G$70+G76*$G$71)}

1.116906 0.998074 =(B77*$G$66+C77*$G$67+D77*$G$68+E77*$G$69+F77*$G$70+G77*$G$71)

1.030088 1.01655 =(B78*$G$66+C78*$G$67+D78*$G$68+E78*$G$69+F78*$G$70+G78*$G$71)

0.926813 0.980616 =(B79*$G$66+C79*$G$67+D79*$G$68+E79*$G$69+F79*$G$70+G79*$G$71)

1.05772 1.056436 =(B80*$G$66+C80*$G$67+D80*$G$68+E80*$G$69+F80*$G$70+G80*$G$71)

1.065034 1.012691 =(B81*$G$66+C81*$G$67+D81*$G$68+E81*$G$69+F81*$G$70+G81*$G$71)

1.050495 1.043527 =(B82*$G$66+C82*$G$67+D82*$G$68+E82*$G$69+F82*$G$70+G82*$G$71)

0.981778 0.996782 =(B83*$G$66+C83*$G$67+D83*$G$68+E83*$G$69+F83*$G$70+G83*$G$71)

1.06208 0.998891 =(B84*$G$66+C84*$G$67+D84*$G$68+E84*$G$69+F84*$G$70+G84*$G$71)

0.887615 0.952137 =(B85*$G$66+C85*$G$67+D85*$G$68+E85*$G$69+F85*$G$70+G85*$G$71)

1.045506 0.975504 =(B86*$G$66+C86*$G$67+D86*$G$68+E86*$G$69+F86*$G$70+G86*$G$71)

0.957194 0.963443 =(B87*$G$66+C87*$G$67+D87*$G$68+E87*$G$69+F87*$G$70+G87*$G$71)

0.712138 0.957801 =(B88*$G$66+C88*$G$67+D88*$G$68+E88*$G$69+F88*$G$70+G88*$G$71)

0.88141 1.002174 =(B89*$G$66+C89*$G$67+D89*$G$68+E89*$G$69+F89*$G$70+G89*$G$71)

1.131107 1.005911 =(B90*$G$66+C90*$G$67+D90*$G$68+E90*$G$69+F90*$G$70+G90*$G$71)

1.122927 1.055289 =(B91*$G$66+C91*$G$67+D91*$G$68+E91*$G$69+F91*$G$70+G91*$G$71)

1.051935 0.988181 =(B92*$G$66+C92*$G$67+D92*$G$68+E92*$G$69+F92*$G$70+G92*$G$71)

1.068994 1.049409 =(B93*$G$66+C93*$G$67+D93*$G$68+E93*$G$69+F93*$G$70+G93*$G$71)

Page 38: Andre Powell Term Project

1.173833 1.082758 =(B94*$G$66+C94*$G$67+D94*$G$68+E94*$G$69+F94*$G$70+G94*$G$71)

0.925955 0.947403 =(B95*$G$66+C95*$G$67+D95*$G$68+E95*$G$69+F95*$G$70+G95*$G$71)

1.093434 1.04857 =(B96*$G$66+C96*$G$67+D96*$G$68+E96*$G$69+F96*$G$70+G96*$G$71)

1.117978 1.066403 =(B97*$G$66+C97*$G$67+D97*$G$68+E97*$G$69+F97*$G$70+G97*$G$71)

1.100153 1.056425 =(B98*$G$66+C98*$G$67+D98*$G$68+E98*$G$69+F98*$G$70+G98*$G$71)

0.931244 0.938641 =(B99*$G$66+C99*$G$67+D99*$G$68+E99*$G$69+F99*$G$70+G99*$G$71)

0.942994 1.031526 =(B100*$G$66+C100*$G$67+D100*$G$68+E100*$G$69+F100*$G$70+G100*$G$71)

1.056481 1.066666 =(B101*$G$66+C101*$G$67+D101*$G$68+E101*$G$69+F101*$G$70+G101*$G$71)

1.061348 1.035047 =(B102*$G$66+C102*$G$67+D102*$G$68+E102*$G$69+F102*$G$70+G102*$G$71)

0.950154 1.040539 =(B103*$G$66+C103*$G$67+D103*$G$68+E103*$G$69+F103*$G$70+G103*$G$71)

1.045634 1.026938 =(B104*$G$66+C104*$G$67+D104*$G$68+E104*$G$69+F104*$G$70+G104*$G$71)

1.118115 1.05586 =(B105*$G$66+C105*$G$67+D105*$G$68+E105*$G$69+F105*$G$70+G105*$G$71)

1.063463 1.077609 =(B106*$G$66+C106*$G$67+D106*$G$68+E106*$G$69+F106*$G$70+G106*$G$71)

1.064643 1.073747 =(B107*$G$66+C107*$G$67+D107*$G$68+E107*$G$69+F107*$G$70+G107*$G$71)

1.049316 0.997093 =(B108*$G$66+C108*$G$67+D108*$G$68+E108*$G$69+F108*$G$70+G108*$G$71)

1.021289 1.010734 =(B109*$G$66+C109*$G$67+D109*$G$68+E109*$G$69+F109*$G$70+G109*$G$71)

1.035307 1.039176 =(B110*$G$66+C110*$G$67+D110*$G$68+E110*$G$69+F110*$G$70+G110*$G$71)

1.013441 1.02211 =(B111*$G$66+C111*$G$67+D111*$G$68+E111*$G$69+F111*$G$70+G111*$G$71)

1.037931 1.086273 =(B112*$G$66+C112*$G$67+D112*$G$68+E112*$G$69+F112*$G$70+G112*$G$71)

1.014709 1.012139 =(B113*$G$66+C113*$G$67+D113*$G$68+E113*$G$69+F113*$G$70+G113*$G$71)

1.048099 1.028807 =(B114*$G$66+C114*$G$67+D114*$G$68+E114*$G$69+F114*$G$70+G114*$G$71)

1.007708 1.009356 =(B115*$G$66+C115*$G$67+D115*$G$68+E115*$G$69+F115*$G$70+G115*$G$71)

Page 39: Andre Powell Term Project

PR-ACIIX PR-OREAX PR-FRNRX PR-PESPX

0.982542 0.965341 0.878575966 1.007708197

1.021137 0.929428 1.146919395 1.04809874

1.006736 1.109378 0.833112805 1.014709417

1.039425 1.075336 0.827243329 1.037931097

1.014192 1.034665 1.01105796 1.013440812

1.074588 1.096136 1.146685934 1.035306675

0.996359 0.991596 0.945059769 1.021288962

1.019829 1.018627 1.095238176 1.049315884

1.032082 0.924129 1.017256949 1.064643387

1.061133 1.100307 0.942636925 1.063462845

1.05434 1.067118 1.064075381 1.118114603

1.028244 0.97149 1.045065031 1.045634219

1.022045 1.017595 0.879921774 0.950153636

1.03449 1.064855 0.967576408 1.06134802

1.049009 1.074773 1.016475598 1.056480966

0.994276 0.946461 0.854249018 0.942994396

0.9535 0.999465 0.959776544 0.931244053

1.06087 1.096543 1.089868458 1.10015341

1.058006 1.063806 1.197865187 1.117977662

1.067081 1.068261 1.146004568 1.093434298

0.960949 0.983114 0.917622211 0.925954791

1.080216 1.246122 1.123770774 1.173833494

1.029721 1.074924 1.022838381 1.068994093

1.033293 1.149776 1.098009788 1.051934941

1.090162 1.084758 1.180931298 1.122927324

1.011667 1.097536 1.144669877 1.131106532

0.940536 0.73454 0.908181087 0.881409675

0.868751 0.706729 0.543765983 0.712138364

0.936929 0.920142 0.940803861 0.957194289

1.013443 1.078769 1.158693977 1.045505761

0.919001 0.856627 0.903180143 0.887614907

1.051689 1.141481 1.157610147 1.062080017

0.972884 0.827089 1.074788526 0.981778108

1.037793 0.948516 1.149802512 1.050495166

1.038427 1.119339 1.040213321 1.065034168

1.07269 1.122394 0.974403251 1.05771958

1.020064 1.063893 0.967984458 0.926813256

1.0386 1.031723 1.002791689 1.03008784

1.045865 1.129397 1.214231465 1.116905918

0.974777 0.947755 1.048353897 0.974421861

Rank Name Geometric Mean Rank

1 PESPX 0.021172526 1

2 WPSGX 0.018702695 2

Page 40: Andre Powell Term Project

3 Optimal Portfolio 0.01837305 3

4 6-fund 0.017136352 4

5 ACIIX 0.016558957 5

6 VEUAX 0.015752715 6

7 OREAX 0.015720862 7

8 FRNRX 0.006318746 8

Rank

1

2

3

4

5

6

7

8

Page 41: Andre Powell Term Project

6,000.00

8,000.00

10,000.00

12,000.00

14,000.00

16,000.00

18,000.00

20,000.00

22,000.00

24,000.00

AX

IS T

ITLE

AXIS TITLE

WPSGX

VEUAX

ACIIX

OREAX

FRNRX

PESPX

5-Fund

6-Fund

Page 42: Andre Powell Term Project

0

0.005

0.01

0.015

0.02

0.025

0.03

0 0.02 0.04 0.06 0.08 0.1 0.12 0.14

ER

STANDARD DEVIATION

MEAN-VARIANCE

WPSGX VEUAX ACIIX OREAX FRNRX PESPX 5-Fund 6-Fund

Page 43: Andre Powell Term Project

0

0.01

0.02

0.03

0.04

0.05

0.06

0.07

0.000000 0.050000 0.100000 0.150000 0.200000 0.250000

Exp

ecte

d R

etu

rn

Standard Deviation

Mean Variance Frontier

Possiblity Curve

GMVP

WPSGX

ACIIX

OREAX

FRNRX

PESPX

Page 44: Andre Powell Term Project

0

0.01

0.02

0.03

0.04

0.05

0.06

0.07

0 0.05 0.1 0.15 0.2 0.25

Exp

ecte

d R

etu

rn

Standard Deviation

Mean Variance Frontier

Possibility Curve

GMVP

WPSGX

ACIIX

OREAX

FRNRX

PESPX

VEUAX

"CAL"

Linear ("CAL")

Page 45: Andre Powell Term Project

Date WPSGX WPSGX-RF VEUAX

July-15 0.029915 0.02983953 0.004788548

April-15 0.058424 0.05837439 0.072314845

January-15 -0.00415 -0.0042251 -0.014904158

October-14 0.065243 0.0651927 -0.053199748

July-14 0.027944 0.02786916 -0.037476796

April-14 0.051562 0.05148699 0.063955822

January-14 0.020964 0.0208644 0.022344761

October-13 0.034707 0.03458212 0.110663119

July-13 0.072592 0.07249188 0.070503588

April-13 0.083165 0.08301533 0.026082682

January-13 0.042564 0.0423893 0.150154112

October-12 0.052544 0.05229443 0.114641804

July-12 -0.04792 -0.04817 -0.081807819

April-12 0.119694 0.11949352 0.071078492

January-12 0.026013 0.02593813 -0.004707759

October-11 0.014111 0.01406055 -0.103430125

July-11 -0.02518 -0.025278 -0.094601019

April-11 0.035869 0.03571916 0.09811117

January-11 0.057596 0.05722149 0.058908064

October-10 0.127765 0.12743961 0.125615737

July-10 -0.08084 -0.0812429 -0.051955522

April-10 0.071842 0.07144189 0.040072829

January-10 0.036661 0.03651066 -0.012071459

October-09 0.051615 0.05143999 0.055831235

July-09 0.082619 0.082169 0.228658627

April-09 0.149897 0.14949659 0.064071375

January-09 -0.11411 -0.1144336 -0.126426689

October-08 -0.18844 -0.1901684 -0.363484128

July-08 -0.05806 -0.0622141 -0.100564933

April-08 0.0064 0.00312542 0.053571355

January-08 -0.10419 -0.1112354 -0.171526986

October-07 0.059907 0.04990685 0.094125033

July-07 -0.02586 -0.0382612 0.013444319

April-07 0.013232 0.00070701 0.083969456

January-07 0.025839 0.01306423 0.08769325

October-06 0.136748 0.12412252 0.08815542

July-06 -0.07785 -0.0905514 -0.022399489

April-06 0.006202 -0.0055979 0.130472203

January-06 0.022677 0.01182674 0.162188361

October-05 -0.01261 -0.0220885 0.018053872

Variance of S&P 500-Rf

Covariances of funds-Rf & S&P 500-Rf 0.00452758

Beta of WPSGX against the SP 500 0.89554632 =C45/O44

Page 46: Andre Powell Term Project

Beta of VEUAX against the SP 500 1.28462319 =E45/O44

Beta of ACIIX against the SP 500 0.63710969 =G45/O44

Beta of OREAX against the SP 500 1.23971794 =I45/O44

Beta of FRNRX against the SP 500 1.33335523 =K45/O44

Beta of PESPX against the SP 500 1.13975232 =M45/O44

Page 47: Andre Powell Term Project

VEUAX-RF ACIIX ACIIX-RF OREAX OREAX-RF FRNRX FRNRX-RF PESPX PESPX-RF

0.004713548 -0.01746 -0.01753 -0.03466 -0.034734 -0.12142 -0.121499 0.007708 0.007633

0.072264845 0.021137 0.021087 -0.07057 -0.070622 0.146919 0.1468694 0.048099 0.048049

-0.014979158 0.006736 0.006661 0.109378 0.1093025 -0.16689 -0.166962 0.014709 0.014634

-0.053249748 0.039425 0.039375 0.075336 0.0752859 -0.17276 -0.172807 0.037931 0.037881

-0.037551796 0.014192 0.014117 0.034665 0.0345902 0.011058 0.010983 0.013441 0.013366

0.063880822 0.074588 0.074513 0.096136 0.0960611 0.146686 0.1466109 0.035307 0.035232

0.022244761 -0.00364 -0.00374 -0.0084 -0.008504 -0.05494 -0.05504 0.021289 0.021189

0.110538119 0.019829 0.019704 0.018627 0.018502 0.095238 0.0951132 0.049316 0.049191

0.070403588 0.032082 0.031982 -0.07587 -0.075971 0.017257 0.0171569 0.064643 0.064543

0.025932682 0.061133 0.060983 0.100307 0.1001567 -0.05736 -0.057513 0.063463 0.063313

0.149979112 0.05434 0.054165 0.067118 0.0669427 0.064075 0.0639004 0.118115 0.11794

0.114391804 0.028244 0.027994 -0.02851 -0.02876 0.045065 0.044815 0.045634 0.045384

-0.082057819 0.022045 0.021795 0.017595 0.0173446 -0.12008 -0.120328 -0.04985 -0.0501

0.070878492 0.03449 0.03429 0.064855 0.064655 -0.03242 -0.032624 0.061348 0.061148

-0.004782759 0.049009 0.048934 0.074773 0.0746975 0.016476 0.0164006 0.056481 0.056406

-0.103480125 -0.00572 -0.00577 -0.05354 -0.053589 -0.14575 -0.145801 -0.05701 -0.05706

-0.094701019 -0.0465 -0.0466 -0.00053 -0.000635 -0.04022 -0.040323 -0.06876 -0.06886

0.09796117 0.06087 0.06072 0.096543 0.0963926 0.089868 0.0897185 0.100153 0.100003

0.058533064 0.058006 0.057631 0.063806 0.0634313 0.197865 0.1974902 0.117978 0.117603

0.125290737 0.067081 0.066756 0.068261 0.0679361 0.146005 0.1456796 0.093434 0.093109

-0.052355522 -0.03905 -0.03945 -0.01689 -0.017286 -0.08238 -0.082778 -0.07405 -0.07445

0.039672829 0.080216 0.079816 0.246122 0.2457221 0.123771 0.1233708 0.173833 0.173433

-0.012221459 0.029721 0.029571 0.074924 0.0747736 0.022838 0.0226884 0.068994 0.068844

0.055656235 0.033293 0.033118 0.149776 0.149601 0.09801 0.0978348 0.051935 0.05176

0.228208627 0.090162 0.089712 0.084758 0.0843076 0.180931 0.1804813 0.122927 0.122477

0.063671375 0.011667 0.011267 0.097536 0.0971358 0.14467 0.1442699 0.131107 0.130707

-0.126751689 -0.05946 -0.05979 -0.26546 -0.265785 -0.09182 -0.092144 -0.11859 -0.11892

-0.365209128 -0.13125 -0.13297 -0.29327 -0.294996 -0.45623 -0.457959 -0.28786 -0.28959

-0.104714933 -0.06307 -0.06722 -0.07986 -0.084008 -0.0592 -0.063346 -0.04281 -0.04696

0.050296355 0.013443 0.010168 0.078769 0.075494 0.158694 0.155419 0.045506 0.042231

-0.178576986 -0.081 -0.08805 -0.14337 -0.150423 -0.09682 -0.10387 -0.11239 -0.11944

0.084125033 0.051689 0.041689 0.141481 0.1314808 0.15761 0.1476101 0.06208 0.05208

0.001044319 -0.02712 -0.03952 -0.17291 -0.185311 0.074789 0.0623885 -0.01822 -0.03062

0.071444456 0.037793 0.025268 -0.05148 -0.064009 0.149803 0.1372775 0.050495 0.03797

0.07491825 0.038427 0.025652 0.119339 0.1065638 0.040213 0.0274383 0.065034 0.052259

0.07553042 0.07269 0.060065 0.122394 0.1097692 -0.0256 -0.038222 0.05772 0.045095

-0.035099489 0.020064 0.007364 0.063893 0.0511928 -0.03202 -0.044716 -0.07319 -0.08589

0.118672203 0.0386 0.0268 0.031723 0.0199228 0.002792 -0.009008 0.030088 0.018288

0.151338361 0.045865 0.035015 0.129397 0.118547 0.214231 0.2033815 0.116906 0.106056

0.008578872 -0.02522 -0.0347 -0.05225 -0.06172 0.048354 0.0388789 -0.02558 -0.03505

0.006494622 0.003221 0.0062676 0.006741 0.005762

Page 48: Andre Powell Term Project
Page 49: Andre Powell Term Project

SP 500 SP 500-RF 3 Months T-bill Effective Quarterly Rates

-0.00388 -0.003954189 0.000075

0.045374 0.045323671 0.00005

-0.01143 -0.011501901 0.000075

0.045259 0.045208901 0.00005

0.024799 0.02472401 0.000075

0.056861 0.056786077 0.000075

0.01483 0.014730249 0.0001

0.042006 0.041880576 0.000125

0.055184 0.055083834 0.0001

0.06639 0.066240293 0.00015

0.060864 0.060689172 0.000175

0.023809 0.023558898 0.00025

-0.0133 -0.013548487 0.00025

0.065147 0.064947323 0.0002

0.047163 0.047088475 0.000075

-0.03016 -0.030213725 0.00005

-0.05231 -0.052409646 0.0001

0.060251 0.06010098 0.00015

0.086929 0.086554317 0.000375

0.074129 0.073803573 0.000325

-0.0717 -0.07210362 0.0004

0.105059 0.104659222 0.0004

0.036364 0.036214041 0.00015

0.049328 0.049152543 0.000175

0.13138 0.130930234 0.00045

0.056824 0.056424227 0.0004

-0.14748 -0.147803705 0.000325

-0.23563 -0.237352834 0.001725

-0.08531 -0.089463811 0.00415

0.005107 0.001831755 0.003275

-0.11026 -0.117306977 0.00705

0.064668 0.054668401 0.01

-0.01828 -0.030681519 0.0124

0.030683 0.018158339 0.012525

0.043761 0.030986014 0.012775

0.079332 0.066706932 0.012625

-0.0259 -0.038603931 0.0127

0.02385 0.012050095 0.0118

0.060538 0.049687978 0.01085

-0.02201 -0.031489652 0.009475

0.003161875 =AVERAGE(P2:P41)

0.005055663

Page 50: Andre Powell Term Project

Date WPSGX WPSGX-Rf VEUAX VEUAX-Rf ACIIX ACIIX-Rf

July-15 0.029915 0.0298395 0.004789 0.0047135 -0.01746 -0.01753

April-15 0.058424 0.0583744 0.072315 0.0722648 0.021137 0.021087

January-15 -0.00415 -0.004225 -0.0149 -0.014979 0.006736 0.006661

October-14 0.065243 0.0651927 -0.0532 -0.05325 0.039425 0.039375

July-14 0.027944 0.0278692 -0.03748 -0.037552 0.014192 0.014117

April-14 0.051562 0.051487 0.063956 0.0638808 0.074588 0.074513

January-14 0.020964 0.0208644 0.022345 0.0222448 -0.00364 -0.00374

October-13 0.034707 0.0345821 0.110663 0.1105381 0.019829 0.019704

July-13 0.072592 0.0724919 0.070504 0.0704036 0.032082 0.031982

April-13 0.083165 0.0830153 0.026083 0.0259327 0.061133 0.060983

January-13 0.042564 0.0423893 0.150154 0.1499791 0.05434 0.054165

October-12 0.052544 0.0522944 0.114642 0.1143918 0.028244 0.027994

July-12 -0.04792 -0.04817 -0.08181 -0.082058 0.022045 0.021795

April-12 0.119694 0.1194935 0.071078 0.0708785 0.03449 0.03429

January-12 0.026013 0.0259381 -0.00471 -0.004783 0.049009 0.048934

October-11 0.014111 0.0140606 -0.10343 -0.10348 -0.00572 -0.00577

July-11 -0.02518 -0.025278 -0.0946 -0.094701 -0.0465 -0.0466

April-11 0.035869 0.0357192 0.098111 0.0979612 0.06087 0.06072

January-11 0.057596 0.0572215 0.058908 0.0585331 0.058006 0.057631

October-10 0.127765 0.1274396 0.125616 0.1252907 0.067081 0.066756

July-10 -0.08084 -0.081243 -0.05196 -0.052356 -0.03905 -0.03945

April-10 0.071842 0.0714419 0.040073 0.0396728 0.080216 0.079816

January-10 0.036661 0.0365107 -0.01207 -0.012221 0.029721 0.029571

October-09 0.051615 0.05144 0.055831 0.0556562 0.033293 0.033118

July-09 0.082619 0.082169 0.228659 0.2282086 0.090162 0.089712

April-09 0.149897 0.1494966 0.064071 0.0636714 0.011667 0.011267

January-09 -0.11411 -0.114434 -0.12643 -0.126752 -0.05946 -0.05979

October-08 -0.18844 -0.190168 -0.36348 -0.365209 -0.13125 -0.13297

July-08 -0.05806 -0.062214 -0.10056 -0.104715 -0.06307 -0.06722

April-08 0.0064 0.0031254 0.053571 0.0502964 0.013443 0.010168

January-08 -0.10419 -0.111235 -0.17153 -0.178577 -0.081 -0.08805

October-07 0.059907 0.0499068 0.094125 0.084125 0.051689 0.041689

July-07 -0.02586 -0.038261 0.013444 0.0010443 -0.02712 -0.03952

April-07 0.013232 0.000707 0.083969 0.0714445 0.037793 0.025268

January-07 0.025839 0.0130642 0.087693 0.0749183 0.038427 0.025652

October-06 0.136748 0.1241225 0.088155 0.0755304 0.07269 0.060065

July-06 -0.07785 -0.090551 -0.0224 -0.035099 0.020064 0.007364

April-06 0.006202 -0.005598 0.130472 0.1186722 0.0386 0.0268

January-06 0.022677 0.0118267 0.162188 0.1513384 0.045865 0.035015

October-05 -0.01261 -0.022089 0.018054 0.0085789 -0.02522 -0.0347

Variance of DJI-Rf

Covariances of funds-Rf 0.0037766 0.0055355 0.002862

Beta of WPSGX against the DJI 0.947728 =C44/$O$43

Beta of VEUAX against the DJI 1.389149 =E44/$O$43

Page 51: Andre Powell Term Project

Beta of ACIIX against the DJI 0.718139 =G44/$O$43

Beta of OREAX against the DJI 1.363294 =I44/$O$43

Beta of FRNRX against the DJI 1.381482 =K44/$O$43

Beta of PESPX against the DJI 1.213649 =M44/$O$43

Page 52: Andre Powell Term Project

OREAX OREAX-Rf FRNRX FRNRX-Rf PESPX PESPX-Rf Dow jones Dow jones-Rf

-0.03466 -0.034733913 -0.12142 -0.1215 0.007708 0.007633 -0.00463047 -0.00470547

-0.07057 -0.070622431 0.146919 0.146869 0.048099 0.048049 0.039357528 0.039307528

0.109378 0.10930253 -0.16689 -0.16696 0.014709 0.014634 -0.01297086 -0.01304586

0.075336 0.075285865 -0.17276 -0.17281 0.037931 0.037881 0.049942946 0.049892946

0.034665 0.034590157 0.011058 0.010983 0.013441 0.013366 -0.001057847 -0.001132847

0.096136 0.0960611 0.146686 0.146611 0.035307 0.035232 0.056181822 0.056106822

-0.0084 -0.008504391 -0.05494 -0.05504 0.021289 0.021189 0.009848351 0.009748351

0.018627 0.018502033 0.095238 0.095113 0.049316 0.049191 0.002981379 0.002856379

-0.07587 -0.075971235 0.017257 0.017157 0.064643 0.064543 0.044457472 0.044357472

0.100307 0.10015672 -0.05736 -0.05751 0.063463 0.063313 0.070647837 0.070497837

0.067118 0.066942696 0.064075 0.0639 0.118115 0.11794 0.058345538 0.058170538

-0.02851 -0.028760192 0.045065 0.044815 0.045634 0.045384 0.006747802 0.006497802

0.017595 0.017344569 -0.12008 -0.12033 -0.04985 -0.0501 -0.015510499 -0.015760499

0.064855 0.06465499 -0.03242 -0.03262 0.061348 0.061148 0.045968823 0.045768823

0.074773 0.074697546 0.016476 0.016401 0.056481 0.056406 0.05670426 0.05662926

-0.05354 -0.053588995 -0.14575 -0.1458 -0.05701 -0.05706 -0.015500805 -0.015550805

-0.00053 -0.000634872 -0.04022 -0.04032 -0.06876 -0.06886 -0.05208992 -0.05218992

0.096543 0.096392635 0.089868 0.089718 0.100153 0.100003 0.077246502 0.077096502

0.063806 0.063431301 0.197865 0.19749 0.117978 0.117603 0.069563403 0.069188403

0.068261 0.067936069 0.146005 0.14568 0.093434 0.093109 0.06234987 0.06202487

-0.01689 -0.017285946 -0.08238 -0.08278 -0.07405 -0.07445 -0.049295052 -0.049695052

0.246122 0.245722074 0.123771 0.123371 0.173833 0.173433 0.093498475 0.093098475

0.074924 0.074773586 0.022838 0.022688 0.068994 0.068844 0.036508788 0.036358788

0.149776 0.149600981 0.09801 0.097835 0.051935 0.05176 0.058999456 0.058824456

0.084758 0.084307575 0.180931 0.180481 0.122927 0.122477 0.122854463 0.122404463

0.097536 0.097135832 0.14467 0.14427 0.131107 0.130707 0.020905253 0.020505253

-0.26546 -0.265785043 -0.09182 -0.09214 -0.11859 -0.11892 -0.141999848 -0.142324848

-0.29327 -0.294995743 -0.45623 -0.45796 -0.28786 -0.28959 -0.180436491 -0.182161491

-0.07986 -0.084007688 -0.0592 -0.06335 -0.04281 -0.04696 -0.112487939 -0.116637939

0.078769 0.075493994 0.158694 0.155419 0.045506 0.042231 0.013420171 0.010145171

-0.14337 -0.150422643 -0.09682 -0.10387 -0.11239 -0.11944 -0.09186282 -0.09891282

0.141481 0.131480779 0.15761 0.14761 0.06208 0.05208 0.05434609 0.04434609

-0.17291 -0.185310861 0.074789 0.062389 -0.01822 -0.03062 0.011412465 -0.000987535

-0.05148 -0.064009429 0.149803 0.137278 0.050495 0.03797 0.034957284 0.022432284

0.119339 0.106563819 0.040213 0.027438 0.065034 0.052259 0.044778751 0.032003751

0.122394 0.109769249 -0.0256 -0.03822 0.05772 0.045095 0.080017487 0.067392487

0.063893 0.051192769 -0.03202 -0.04472 -0.07319 -0.08589 -0.015963558 -0.028663558

0.031723 0.019922752 0.002792 -0.00901 0.030088 0.018288 0.046229772 0.034429772

0.129397 0.118547002 0.214231 0.203381 0.116906 0.106056 0.040688425 0.029838425

-0.05225 -0.061720226 0.048354 0.038879 -0.02558 -0.03505 -0.018874326 -0.028349326

0.003984847

0.005432516 0.005505 0.004836

Page 53: Andre Powell Term Project
Page 54: Andre Powell Term Project

3 Months T-bill Effective Quarterly Rates

0.000075

0.00005

0.000075

0.00005

0.000075

0.000075

0.0001

0.000125

0.0001

0.00015

0.000175

0.00025

0.00025

0.0002

0.000075

0.00005

0.0001

0.00015

0.000375

0.000325

0.0004

0.0004

0.00015

0.000175

0.00045

0.0004

0.000325

0.001725

0.00415

0.003275

0.00705

0.01

0.0124

0.012525

0.012775

0.012625

0.0127

0.0118

0.01085

0.009475

Page 55: Andre Powell Term Project

Van Horn's Correction of Beta Van Horn's Correction of Beta

Beta of WPSGX against the SP 500 0.895546 Beta of WPSGX against the DJI 0.947728

Beta of VEUAX against the SP 500 1.284623 Beta of VEUAX against the DJI 1.389149

Beta of ACIIX against the SP 500 0.63711 Beta of ACIIX against the DJI 0.718139

Beta of OREAX against the SP 500 1.239718 Beta of OREAX against the DJI 1.363294

Beta of FRNRX against the SP 500 1.333355 Beta of FRNRX against the DJI 1.381482

Beta of PESPX against the SP 500 1.139752 Beta of PESPX against the DJI 1.213649

The S&P 500 is a market value-weighted index of 500 stocks, while the Dow Jones (DJI) is price weighted average

of 30 stocks. This may explain the differences in beta, the regression against the DJI is larger than that of the S&P 500.

Which indicates that the DJI is more volatile than the S&P 500. As its name suggest, the S&P 500 includes

500 stocks which makes it less impacted on movements on a few stocks, while the returns on the

DJI is more susceptible to price movements on just a few stocks. Thus giving the impression that the returns of the

funds are riskier when a regression is run against it.

As the results indicate, the beta of the funds are less when the S&P 500 is use as a proxy. The S&P 500 represents a larger portion of the U.S.

economy than that of the DJI which makes it a better proxy.Also, there are some inherit weakness of a price -weighted index (e.g. ignores the number of shares outstanding)

which makes it a less reliable proxy of the market at large.

Page 56: Andre Powell Term Project

The S&P 500 is a market value-weighted index of 500 stocks, while the Dow Jones (DJI) is price weighted average

of 30 stocks. This may explain the differences in beta, the regression against the DJI is larger than that of the S&P 500.

DJI is more susceptible to price movements on just a few stocks. Thus giving the impression that the returns of the

As the results indicate, the beta of the funds are less when the S&P 500 is use as a proxy. The S&P 500 represents a larger portion of the U.S.

economy than that of the DJI which makes it a better proxy.Also, there are some inherit weakness of a price -weighted index (e.g. ignores the number of shares outstanding)

Page 57: Andre Powell Term Project

SP 500 N+ Runs N-

-0.003879189 yes ignore 1 -0.00388

0.045373671 no 0.045374 2 ignore

-0.011426901 yes ignore 3 -0.01143

0.045258901 no 0.045259 ignore

0.02479901 no 0.024799 4 ignore

0.056861077 no 0.056861 ignore

0.014830249 no 0.01483 ignore

0.042005576 no 0.042006 ignore

0.055183834 no 0.055184 ignore

0.066390293 no 0.06639 ignore

0.060864172 no 0.060864 ignore

0.023808898 no 0.023809 ignore

-0.013298487 yes ignore 5 -0.0133

0.065147323 no 0.065147 6 ignore

0.047163475 no 0.047163 ignore

-0.030163725 yes ignore 7 -0.03016

-0.052309646 yes ignore -0.05231

0.06025098 no 0.060251 8 ignore

0.086929317 no 0.086929 ignore

0.074128573 no 0.074129 ignore

-0.07170362 yes ignore 9 -0.0717

0.105059222 no 0.105059 ignore

0.036364041 no 0.036364 10 ignore

0.049327543 no 0.049328 ignore

0.131380234 no 0.13138 ignore

0.056824227 no 0.056824 ignore

-0.147478705 yes ignore -0.14748

-0.235627834 yes ignore 11 -0.23563

-0.085313811 yes ignore -0.08531

0.005106755 no 0.005107 12 ignore

-0.110256977 yes ignore 13 -0.11026

0.064668401 no 0.064668 14 ignore

-0.018281519 yes ignore 15 -0.01828

0.030683339 no 0.030683 ignore

0.043761014 no 0.043761 16 ignore

0.079331932 no 0.079332 ignore

-0.025903931 yes ignore 17 -0.0259

0.023850095 no 0.02385 ignore

0.060537978 no 0.060538 18 ignore

-0.022014652 yes ignore 19 -0.02201

N1= 27 N2= 13

µ= 18.55 =(2*C42*E42)/(C42+E42)+1

Variance 7.4475 =((2*C42*E42*(2*C42*E42-C42-E42)/((C42+E42)^2*(C42+E42-1))))

Sigma 2.729011 =SQRT(B44)

Z-score: test statistic 0.164895 =(H42-B43)/(B45)

Significance level 0.05

Page 58: Andre Powell Term Project

Critical value Z(1-a/2) two tail 1.96

Reject H0 if (Z) <-1.96>1.96

A two tail test was done for the test statistic of 0.164895, with a significance level of 0.05 to determine whether

the sequence was produced in a random order. Because the test statistic lies within -1.96 to 1.96, the null

hypothesis is not rejected, meaning the sequence was produced in a random matter.

Page 59: Andre Powell Term Project

Total observed runs 19

=((2*C42*E42*(2*C42*E42-C42-E42)/((C42+E42)^2*(C42+E42-1))))

Page 60: Andre Powell Term Project

A two tail test was done for the test statistic of 0.164895, with a significance level of 0.05 to determine whether

the sequence was produced in a random order. Because the test statistic lies within -1.96 to 1.96, the null

hypothesis is not rejected, meaning the sequence was produced in a random matter.

Page 61: Andre Powell Term Project

Date WPSGX VEUAX ACIIX OREAX FRNRX PESPX RWPSGX VEUAX RACIIX ROREAX RFRNRX RPESPX RQ-WPSGX RQ-VEUAX RQ-ACIX RQ-OREAX RQ-FRNRX RQ-PESPX

Jul-15 28.92 25.18 8.57 27.13 27.64 39.22 0.008017 0.012058 0.005869 0.016867 -0.02055 0.004096 0.0299145 0.004788548 -0.01746 -0.0346589 -0.121424034 0.007708

Jun-15 28.69 24.88 8.52 26.68 28.22 39.06 -0.00243 -0.01699 -0.02762 -0.04797 -0.04436 -0.01364

May-15 28.76 25.31 8.762013 28.02441 29.53 39.6 0.024217 0.009976 0.004556 -0.00283 -0.06135 0.017472

Apr-15 28.08 25.06 8.722277 28.10406 31.46 38.92 -0.00355 0.02747 0.008037 -0.05963 0.11284 -0.01518 0.0584244 0.072314845 0.021137 -0.0705724 0.146919395 0.048099

Mar-15 28.18 24.39 8.652737 29.88607 28.27 39.52 -0.0067 -0.01851 -0.01107 0.018493 -0.0368 0.012747

Feb-15 28.37 24.85 8.749581 29.34341 29.35 39.02258 0.069355 0.063329 0.024334 -0.02959 0.069996 0.050861

Jan-15 26.53 23.37 8.541729 30.23803 27.43 37.1339 -0.04362 -0.00128 -0.01371 0.062522 -0.0399 -0.0117 -0.0041501 -0.01490416 0.006736 0.10937753 -0.166887195 0.014709

Dec-14 27.74 23.4 8.660501 28.45873 28.57 37.57359 -0.00168 -0.0364 0.004516 0.025219 -0.03643 0.008174

Nov-14 27.7866 24.28383 8.621569 27.7587 29.65005 37.26897 0.043019 0.023616 0.016146 0.018416 -0.09946 0.0184

Oct-14 26.64056 23.72358 8.484574 27.25675 32.92471 36.5956 0.028496 -0.01799 0.020879 0.111197 -0.09565 0.035185 0.0652427 -0.05319975 0.039425 0.07533586 -0.172756671 0.037931

Sep-14 25.90244 24.15826 8.311047 24.52918 36.40714 35.35174 -0.01587 -0.03734 -0.01365 -0.05717 -0.09958 -0.0457

Aug-14 26.32006 25.09522 8.426069 26.01646 40.43369 37.04451 0.052427 0.001542 0.032258 0.026404 0.015909 0.050663

Jul-14 25.00891 25.05659 8.162755 25.3472 39.80052 35.25822 -0.02017 -0.03926 -0.0207 -0.00074 -0.03986 -0.04315 0.0279442 -0.0374768 0.014192 0.03466516 0.01105796 0.013441

Jun-14 25.52366 26.08048 8.335272 25.36605 41.45269 36.84811 0.036278 0.002227 0.019658 0.012934 0.05515 0.040951

May-14 24.63014 26.02253 8.174574 25.04216 39.28607 35.39851 0.012375 -0.00037 0.01566 0.022214 -0.00201 0.017473

Apr-14 24.32906 26.03219 8.048534 24.49797 39.36522 34.79061 0.015815 -0.00259 0.010169 0.032832 0.052089 -0.01587 0.051562 0.063955822 0.074588 0.0961361 0.146685934 0.035307

Mar-14 23.95028 26.0998 7.967509 23.71922 37.41625 35.35174 -0.00765 -0.02384 0.023328 0.007678 0.015847 0.003185

Feb-14 24.13482 26.73733 7.785883 23.53848 36.83255 35.23951 0.043166 0.092775 0.039521 0.053205 0.072911 0.048665

Jan-14 23.13611 24.46736 7.489876 22.34939 34.32956 33.60416 -0.0562 -0.02913 -0.02681 0.031993 -0.04091 -0.0215 0.0209644 0.022344761 -0.00364 -0.0084044 -0.054940231 0.021289

Dec-13 24.51383 25.20148 7.696183 21.65653 35.79376 34.3424 0.028298 0.035476 0.012553 0.002017 0.013742 0.030291

Nov-13 23.83922 24.33806 7.600774 21.61294 35.30856 33.33273 0.051992 0.016942 0.011111 -0.04108 -0.02799 0.01304

Oct-13 22.66104 23.93259 7.517249 22.53881 36.32528 32.90367 0.031128 0.060762 0.03211 0.047826 0.04043 0.036902 0.0347071 0.110663119 0.019829 0.01862703 0.095238176 0.049316

Sep-13 21.97693 22.5617 7.283379 21.51007 34.91372 31.73269 0.030749 0.075967 0.021459 0.042292 0.037548 0.05154

Aug-13 21.32133 20.96877 7.130365 20.63728 33.65023 30.17734 -0.02646 -0.02688 -0.03266 -0.06731 0.014583 -0.03763

Jul-13 21.90092 21.54802 7.371088 22.12666 33.16655 31.35726 0.061234 0.08666 0.025404 0.009771 0.050657 0.061422 0.0725919 0.070503588 0.032082 -0.0758712 0.017256949 0.064643

Jun-13 20.63722 19.82958 7.18847 21.91256 31.56745 29.54269 -0.00867 -0.03341 -0.00156 -0.02775 -0.04309 -0.01871

May-13 20.81775 20.51503 7.199691 22.5381 32.98888 30.10583 0.019544 0.019185 0.008083 -0.05869 0.011807 0.022155

Apr-13 20.41869 20.12886 7.141962 23.94326 32.60391 29.4533 0.016556 0.045113 0.021227 0.061041 -0.04205 0.0058 0.0831653 0.026082682 0.061133 0.10030672 -0.057363075 0.063463

Mar-13 20.08614 19.25999 6.993514 22.56583 34.0352 29.28346 0.036783 0.007576 0.030282 0.033066 0.010847 0.047531

Feb-13 19.37353 19.11518 6.787964 21.84356 33.66998 27.95474 0.027722 -0.02559 0.008537 0.003815 -0.02654 0.009355

Jan-13 18.85095 19.61719 6.730508 21.76054 34.58798 27.69565 0.04918 0.058333 0.048593 0.03329 0.05861 0.071552 0.0425643 0.150154112 0.05434 0.0671177 0.064075381 0.118115

Dec-12 17.96731 18.53593 6.418607 21.05948 32.673 25.8463 -0.00421 0.051495 0.008026 0.033667 0.021605 0.021342

Nov-12 18.04332 17.62818 6.367501 20.37356 31.98204 25.30622 -0.0021 0.033538 -0.00253 -0.0009 -0.01609 0.021649

Oct-12 18.08133 17.05614 6.383621 20.39188 32.5052 24.76996 -0.01091 0.0359 -0.00627 -0.00846 -0.0243 -0.00818 0.0525444 0.114641804 0.028244 -0.0285102 0.045065031 0.045634

Sep-12 18.28086 16.46504 6.423922 20.56594 33.31462 24.97425 0.015303 0.037237 0.018979 -0.01894 0.043599 0.019104

Aug-12 18.00531 15.87394 6.304276 20.96295 31.92281 24.50609 0.04812 0.037383 0.015464 -0.0013 0.026341 0.034495

Jul-12 17.17868 15.30191 6.208272 20.99032 31.10352 23.68893 0.020316 -0.00311 0.022398 0.019495 0.028059 -0.00108 -0.04792 -0.08180782 0.022045 0.01759457 -0.120078226 -0.04985

Jun-12 16.83663 15.34958 6.072265 20.58894 30.25461 23.71447 0.011993 0.059908 0.038989 0.052892 0.013558 0.017531

May-12 16.6371 14.48199 5.844396 19.55465 29.8499 23.30589 -0.07794 -0.13101 -0.03786 -0.05201 -0.15554 -0.06521

Apr-12 18.04332 16.66525 6.074365 20.62739 35.34805 24.93169 -0.00628 -0.01075 -0.0039 0.028093 -0.01756 -0.00238 0.1196935 0.071078492 0.03449 0.06485499 -0.032423592 0.061348

Mar-12 18.15734 16.8464 6.098155 20.06375 35.97979 24.99127 0.037459 0.009138 0.01799 0.049496 -0.06274 0.018511

Feb-12 17.50173 16.69386 5.990389 19.11751 38.38831 24.53707 0.086085 0.072917 0.020189 -0.01309 0.050797 0.044549

Jan-12 16.11452 15.55932 5.871845 19.37108 36.53257 23.49059 0.039216 0.058366 0.020604 0.06365 0.063506 0.065201 0.0260131 -0.00470776 0.049009 0.07477255 0.016475598 0.056481

Dec-11 15.50642 14.70127 5.753302 18.21189 34.35107 22.05274 -0.00366 -0.02695 0.026395 0.047726 -0.05402 -0.00492

Nov-11 15.56343 15.10845 5.605347 17.38231 36.31266 22.16188 -0.00907 -0.03355 0.001399 -0.03557 0.010357 -0.00328

Oct-11 15.70595 15.63292 5.597518 18.02342 35.94043 22.23475 0.115385 0.119974 0.076807 0.140571 0.216512 0.136589 0.0141106 -0.10343013 -0.00572 -0.053539 -0.145750982 -0.05701

Sep-11 14.0812 13.95829 5.198255 15.8021 29.54384 19.56269 -0.05845 -0.09433 -0.04639 -0.1131 -0.20694 -0.10618

Aug-11 14.95534 15.41209 5.451142 17.81729 37.25305 21.88657 -0.03436 -0.1161 -0.03172 -0.06436 -0.11455 -0.07177

Jul-11 15.48742 17.43636 5.629741 19.04296 42.07254 23.57888 -0.00245 -0.0463 -0.02815 0.017333 0.027266 -0.03576 -0.025178 -0.09460102 -0.0465 -0.0005349 -0.040223456 -0.06876

Jun-11 15.52543 18.28288 5.792809 18.71852 40.95583 24.45337 -0.01388 -0.01144 -0.01502 -0.03308 -0.02404 -0.02043

May-11 15.74396 18.49451 5.881169 19.35901 41.96479 24.96349 -0.00903 -0.03966 -0.00392 0.016053 -0.04268 -0.01407

Apr-11 15.88743 19.25821 5.904293 19.05315 43.83577 25.31976 0.030634 0.082213 0.02957 0.056886 0.004941 0.026929 0.0358692 0.09811117 0.06087 0.09654263 0.089868458 0.100153

Mar-11 15.41521 17.79521 5.734718 18.02763 43.62026 24.65579 -0.02611 -0.01427 5.48E-05 -0.01397 0.02016 0.024115

Feb-11 15.82852 18.05285 5.734404 18.28308 42.75824 24.07523 0.032028 0.029381 0.030345 0.052223 0.063078 0.046078

Jan-11 15.3373 17.53758 5.56552 17.37566 40.22115 23.01475 -0.00284 0.014369 0.005548 0.031467 0.033736 0.019727 0.0575965 0.058908064 0.058006 0.0638063 0.197865187 0.117978

Dec-10 15.381 17.28914 5.534813 16.84559 38.90853 22.56952 0.03735 0.094816 0.055219 0.051009 0.090554 0.064791

Nov-10 14.82721 15.79183 5.24518 16.02801 35.67775 21.19619 0.022423 -0.0465 -0.00289 -0.0187 0.062554 0.029638

Oct-10 14.50203 16.56194 5.260384 16.33348 33.57736 20.58606 0.055548 0.043379 0.019146 0.041237 0.053507 0.033824 0.1277646 0.125615737 0.067081 0.06826107 0.146004568 0.093434

Sep-10 13.73887 15.87337 5.161561 15.68661 31.872 19.91253 0.097879 0.148852 0.059981 0.043043 0.12901 0.112932

Aug-10 12.51401 13.81672 4.869483 15.03928 28.23003 17.89196 -0.02684 -0.06096 -0.01221 -0.01638 -0.0365 -0.04966

Jul-10 12.85909 14.71367 4.929693 15.28978 29.2995 18.82697 0.059439 0.10929 0.048 0.099035 0.097042 0.068826 -0.0808429 -0.05195552 -0.03905 -0.0168859 -0.082377789 -0.07405

Jun-10 12.13764 13.26405 4.703906 13.912 26.70773 17.61463 -0.05923 0.001368 -0.02638 -0.05635 -0.05003 -0.06636

May-10 12.90175 13.24593 4.831335 14.74275 28.11442 18.86659 -0.07779 -0.14653 -0.05822 -0.05206 -0.11949 -0.0721

Apr-10 13.99009 15.52003 5.130026 15.5524 31.92981 20.3325 0.006089 -0.0322 0.016272 0.071194 0.030473 0.042242 0.0718419 0.040072829 0.080216 0.24612207 0.123770774 0.173833

Mar-10 13.90542 16.03646 5.047886 14.51875 30.9856 19.50842 0.048453 0.098696 0.041727 0.09772 0.045174 0.0709

Feb-10 13.2628 14.59589 4.845692 13.22628 29.64636 18.21684 0.016121 -0.02186 0.020344 0.059744 0.043405 0.051693

Jan-10 13.05239 14.92206 4.749076 12.48064 28.4131 17.32145 -0.04421 -0.05562 -0.02591 -0.05701 -0.04994 -0.03274 0.0366607 -0.01207146 0.029721 0.07492359 0.022838381 0.068994

Dec-09 13.65614 15.80089 4.875421 13.23516 29.9065 17.90781 0.036472 0.007631 0.022805 0.067287 0.028078 0.062496

Nov-09 13.1756 15.68123 4.766718 12.40075 29.08971 16.85447 0.046447 0.03819 0.033546 0.068043 0.047196 0.040174

Oct-09 12.5908 15.10439 4.612003 11.61072 27.77868 16.2035 -0.00315 -0.05234 -0.00318 -0.04386 -0.00375 -0.04573 0.051615 0.055831235 0.033293 0.14977598 0.098009788 0.051935

Sep-09 12.63061 15.93859 4.626738 12.14333 27.88318 16.97995 0.036317 0.052138 0.014964 0.057514 0.090268 0.056613

Aug-09 12.18798 15.14876 4.558523 11.4829 25.57462 16.07017 0.01797 0.058933 0.021312 0.137118 0.01089 0.043279

Jul-09 11.97282 14.30568 4.463401 10.09825 25.29912 15.40352 0.06071 0.108666 0.055363 0.104147 0.086495 0.086884 0.082619 0.228658627 0.090162 0.08475758 0.180931298 0.122927

Jun-09 11.28755 12.90351 4.229256 9.145749 23.28507 14.17218 0.005743 -0.01624 0.0097 -0.04001 -0.07857 0.006125

May-09 11.2231 13.1165 4.188627 9.52693 25.27062 14.08591 0.014827 0.126524 0.02305 0.023386 0.179601 0.026872

Apr-09 11.05913 11.64334 4.094255 9.309221 21.42302 13.71729 0.109442 0.1185 0.04059 0.339599 0.130893 0.148391 0.1498966 0.064071375 0.011667 0.09753583 0.144669877 0.131107

Mar-09 9.968189 10.40978 3.934551 6.94926 18.94346 11.94479 0.106936 0.049195 0.052754 0.023077 0.093202 0.090554

Feb-09 9.005208 9.921683 3.737388 6.79251 17.32842 10.95295 -0.06366 -0.09327 -0.07651 -0.19918 -0.07411 -0.09684

Jan-09 9.617497 10.94225 4.047037 8.481929 18.71546 12.12732 -0.06583 -0.10975 -0.06645 -0.16752 0.015988 -0.0719 -0.1141086 -0.12642669 -0.05946 -0.26546 -0.091818913 -0.11859

Dec-08 10.29519 12.29117 4.335082 10.18877 18.42095 13.06682 0.003696 0.047417 0.033049 0.137026 -0.03437 0.046926

Nov-08 10.25727 11.73475 4.196396 8.960888 19.07657 12.48112 -0.05518 -0.06316 -0.02475 -0.22398 -0.0743 -0.09288

Oct-08 10.85629 12.52585 4.302904 11.54727 20.60763 13.75901 -0.15989 -0.21162 -0.11919 -0.30649 -0.28554 -0.21759 -0.1884434 -0.36348413 -0.13125 -0.2932707 -0.456234017 -0.28786

Sep-08 12.92253 15.88806 4.885145 16.65036 28.84364 17.58539 -0.08213 -0.14311 -0.03965 -0.00567 -0.2105 -0.10759

Aug-08 14.0789 18.54156 5.086844 16.74534 36.5341 19.70551 0.052461 -0.05779 0.027027 0.024868 -0.03599 0.019917

Jul-08 13.37713 19.67877 4.95298 16.33903 37.89797 19.32069 0.034071 -0.05463 0.012968 0.029973 -0.15648 -0.02169 -0.0580641 -0.10056493 -0.06307 -0.0798577 -0.059196139 -0.04281

Jun-08 12.93637 20.81599 4.889571 15.86355 44.9285 19.74907 -0.09055 -0.07098 -0.07629 -0.1075 0.033394 -0.07072

May-08 14.22432 22.40645 5.293381 17.77424 43.47664 21.25204 0.00159 0.024106 0.001321 0.000967 0.079292 0.052878

Apr-08 14.20174 21.87904 5.286398 17.75706 40.28254 20.18471 0.01171 0.047337 0.035568 0.058342 0.108743 0.076685 0.0064004 0.053571355 0.013443 0.07876899 0.158693977 0.045506

Mar-08 14.03736 20.89016 5.10483 16.77819 36.33172 18.7471 0.016149 0.004756 0.006749 0.063691 -0.04222 -0.01035

Feb-08 13.81427 20.79127 5.070609 15.77356 37.93317 18.94314 -0.02106 0.00119 -0.02793 -0.04173 0.091116 -0.0188

Jan-08 14.11142 20.76655 5.216276 16.46049 34.76547 19.30617 -0.05487 -0.11174 -0.0359 -0.01894 -0.07881 -0.06208 -0.1041854 -0.17152699 -0.081 -0.1433726 -0.096819857 -0.11239

Dec-07 14.93061 23.37885 5.410499 16.77819 37.73959 20.58405 -0.03381 -0.01318 -0.01058 -0.04033 0.051945 -0.00381

Nov-07 15.453 23.69118 5.46837 17.48332 35.87599 20.66276 -0.01902 -0.05485 -0.03659 -0.09014 -0.06797 -0.05002

Oct-07 15.75261 25.06605 5.67603 19.21546 38.49229 21.75062 -0.00493 0.053208 0.003337 0.028596 0.062035 0.025649 0.0599068 0.094125033 0.051689 0.14148078 0.157610147 0.06208

Sep-07 15.83073 23.79972 5.657152 18.68125 36.24391 21.20669 0.03767 0.051807 0.022134 0.04748 0.108527 0.026324

Aug-07 15.25603 22.62747 5.534646 17.83447 32.69555 20.66276 0.026495 -0.01232 0.025493 0.059444 -0.01672 0.00896

Jul-07 14.86226 22.90968 5.397061 16.8338 33.25151 20.47926 -0.01313 -0.02012 -0.03034 -0.07617 -0.00489 -0.04346 -0.0258612 0.013444319 -0.02712 -0.1729109 0.074788526 -0.01822

Jun-07 15.05993 23.38003 5.565915 18.22182 33.41504 21.40984 -0.0305 0.006542 -0.0165 -0.099 0.006898 -0.02244

May-07 15.53371 23.22807 5.659305 20.22405 33.18611 21.90134 0.018149 0.027529 0.020157 -0.00634 0.072674 0.049953

Apr-07 15.25682 22.60576 5.547486 20.35307 30.93773 20.85936 0.035897 0.055405 0.03237 0.001587 0.067419 0.029764 0.013232 0.083969456 0.037793 -0.0514844 0.149802512 0.050495

Mar-07 14.72812 21.41903 5.373544 20.32081 28.98368 20.25645 -0.00472 0.037868 0.011111 -0.03189 0.059791 0.01311

Feb-07 14.79794 20.63752 5.314493 20.99011 27.34849 19.99431 -0.01724 -0.01041 -0.00579 -0.0218 0.016408 0.006931

Jan-07 15.05758 20.85461 5.345463 21.45781 26.90699 19.85669 0.008511 0.015504 0.004657 0.091021 -0.01112 0.035897 0.0258392 0.08769325 0.038427 0.11933882 0.040213321 0.065034

Dec-06 14.9305 20.53622 5.320687 19.66764 27.2095 19.16859 0.017491 0.0324 0.015421 -0.01599 -0.02839 -0.00486

Nov-06 14.67383 19.89173 5.239885 19.98729 28.00456 19.26212 -0.0003 0.037473 0.017917 0.04263 0.082645 0.033144

Oct-06 14.6783 19.17324 5.147655 19.17007 25.8668 18.64418 0.045536 0.052197 0.028802 0.06945 0.06877 0.03968 0.1367475 0.08815542 0.07269 0.12239425 -0.025596749 0.05772

Sep-06 14.03901 18.22211 5.003543 17.92517 24.20241 17.93262 0.045203 0.006425 0.020709 0.020441 -0.06324 0.006305

Aug-06 13.43186 18.10578 4.902027 17.5661 25.83626 17.82027 0.040218 0.027573 0.021505 0.028482 -0.02675 0.010977

Jul-06 12.91254 17.61995 4.798826 17.07963 26.5463 17.62677 -0.04011 0.01378 0.02448 0.037875 0.002884 -0.02889 -0.0778514 -0.02239949 0.020064 0.06389277 -0.032015542 -0.07319

Jun-06 13.45217 17.38046 4.684159 16.45634 26.46995 18.15108 -0.00924 0.000394 0.005451 0.055011 0.008142 0

May-06 13.57764 17.37361 4.658763 15.59825 26.25618 18.15108 -0.03035 -0.03607 -0.00971 -0.02838 -0.04259 -0.04562

Apr-06 14.00267 18.02367 4.704437 16.0539 27.42431 19.01869 -0.0074 0.062097 0.016029 -0.03734 0.062093 0.013639 0.0062021 0.130472203 0.0386 0.03172275 0.002791689 0.030088

Mar-06 14.10711 16.96989 4.630217 16.67661 25.82099 18.76278 0.000823 0.045091 0.010815 0.050215 0.051617 0.02454

Feb-06 14.09551 16.23772 4.580678 15.87924 24.55361 18.31337 0.012873 0.018455 0.011278 0.020498 -0.10218 -0.00811

Jan-06 13.91636 15.94349 4.529593 15.56028 27.34796 18.46317 -0.00374 0.078704 0.02046 0.071653 0.147709 0.058697 0.0226767 0.162188361 0.045865 0.129397 0.214231465 0.116906

Dec-05 13.96858 14.78023 4.438774 14.51989 23.8283 17.43952 -0.01461 0.053249 0.00357 0.004915 0.03131 0.00614

Nov-05 14.17562 14.03299 4.422986 14.44888 23.1049 17.3331 0.041729 0.022924 0.02125 0.048729 0.025842 0.048544

Oct-05 13.60778 13.71851 4.330953 13.77751 22.52285 16.53064 -0.01351 -0.03385 -0.01599 -0.01871 -0.07476 -0.02181 -0.0126135 0.018053872 -0.02522 -0.0522452 0.048353897 -0.02558

Sep-05 13.79412 14.19913 4.401331 14.04022 24.34266 16.89918 0.022171 0.017865 0.00153 0.003918 0.064776 0.007441

Aug-05 13.49493 13.94992 4.394606 13.98542 22.86177 16.77435 -0.0208 0.035227 -0.0109 -0.03794 0.064129 -0.01121

Jul-05 13.78161 13.47523 4.443017 14.537 21.48402 16.96457

AM 0.0211273 0.021772836 0.017684 0.02199825 0.015932795 0.024935

10000 1.311878

23118.78

1

Page 62: Andre Powell Term Project

FRED Graph Observations

Federal Reserve Economic Data

Link: https://research.stlouisfed.org/fred2

Help: https://research.stlouisfed.org/fred2/help-faq

Economic Research Division

Federal Reserve Bank of St. Louis

DGS3MO 3-Month Treasury Constant Maturity Rate, Percent, Monthly, Not Seasonally Adjusted

Frequency: Monthly

observation_date DGS3MO Converted to percentage Converted to quarterly

2015-07-01 0.03 0.0003 0.000075 =C12/4

2015-06-01 0.02 0.0002

2015-05-01 0.02 0.0002

2015-04-01 0.02 0.0002 0.00005 =C15/4

2015-03-01 0.03 0.0003

2015-02-01 0.02 0.0002

2015-01-01 0.03 0.0003 0.000075

2014-12-01 0.03 0.0003

2014-11-01 0.02 0.0002

2014-10-01 0.02 0.0002 0.00005

2014-09-01 0.02 0.0002

2014-08-01 0.03 0.0003

2014-07-01 0.03 0.0003 0.000075

2014-06-01 0.04 0.0004

2014-05-01 0.03 0.0003

2014-04-01 0.03 0.0003 0.000075

2014-03-01 0.05 0.0005

2014-02-01 0.05 0.0005

2014-01-01 0.04 0.0004 0.0001

2013-12-01 0.07 0.0007

2013-11-01 0.07 0.0007

2013-10-01 0.05 0.0005 0.000125

2013-09-01 0.02 0.0002

2013-08-01 0.04 0.0004

2013-07-01 0.04 0.0004 0.0001

2013-06-01 0.05 0.0005

2013-05-01 0.04 0.0004

2013-04-01 0.06 0.0006 0.00015

2013-03-01 0.09 0.0009

2013-02-01 0.10 0.001

2013-01-01 0.07 0.0007 0.000175

2012-12-01 0.07 0.0007

2012-11-01 0.09 0.0009

2012-10-01 0.10 0.001 0.00025

2012-09-01 0.11 0.0011

2012-08-01 0.10 0.001

2012-07-01 0.10 0.001 0.00025

2012-06-01 0.09 0.0009

2012-05-01 0.09 0.0009

2012-04-01 0.08 0.0008 0.0002

2012-03-01 0.08 0.0008

2012-02-01 0.09 0.0009

2012-01-01 0.03 0.0003 0.000075

2011-12-01 0.01 0.0001

2011-11-01 0.01 0.0001

2011-10-01 0.02 0.0002 0.00005

2011-09-01 0.01 0.0001

2011-08-01 0.02 0.0002

2011-07-01 0.04 0.0004 0.0001

2011-06-01 0.04 0.0004

2011-05-01 0.04 0.0004

2011-04-01 0.06 0.0006 0.00015

2011-03-01 0.10 0.001

2011-02-01 0.13 0.0013

2011-01-01 0.15 0.0015 0.000375

2010-12-01 0.14 0.0014

2010-11-01 0.14 0.0014

2010-10-01 0.13 0.0013 0.000325

2010-09-01 0.15 0.0015

2010-08-01 0.16 0.0016

2010-07-01 0.16 0.0016 0.0004

2010-06-01 0.12 0.0012

2010-05-01 0.16 0.0016

2010-04-01 0.16 0.0016 0.0004

2010-03-01 0.15 0.0015

2010-02-01 0.11 0.0011

2010-01-01 0.06 0.0006 0.00015

2009-12-01 0.05 0.0005

2009-11-01 0.05 0.0005

2009-10-01 0.07 0.0007 0.000175

2009-09-01 0.12 0.0012

2009-08-01 0.17 0.0017

2009-07-01 0.18 0.0018 0.00045

2009-06-01 0.18 0.0018

2009-05-01 0.18 0.0018

2009-04-01 0.16 0.0016 0.0004

2009-03-01 0.22 0.0022

2009-02-01 0.30 0.003

2009-01-01 0.13 0.0013 0.000325

2008-12-01 0.03 0.0003

2008-11-01 0.19 0.0019

2008-10-01 0.69 0.0069 0.001725

2008-09-01 1.15 0.0115

2008-08-01 1.75 0.0175

2008-07-01 1.66 0.0166 0.00415

2008-06-01 1.89 0.0189

2008-05-01 1.76 0.0176

2008-04-01 1.31 0.0131 0.003275

2008-03-01 1.28 0.0128

2008-02-01 2.17 0.0217

2008-01-01 2.82 0.0282 0.00705

2007-12-01 3.07 0.0307

2007-11-01 3.35 0.0335

2007-10-01 4.00 0.04 0.01

2007-09-01 3.99 0.0399

2007-08-01 4.32 0.0432

2007-07-01 4.96 0.0496 0.0124

2007-06-01 4.74 0.0474

2007-05-01 4.87 0.0487

2007-04-01 5.01 0.0501 0.012525

2007-03-01 5.08 0.0508

2007-02-01 5.16 0.0516

2007-01-01 5.11 0.0511 0.012775

2006-12-01 4.97 0.0497

2006-11-01 5.07 0.0507

2006-10-01 5.05 0.0505 0.012625

2006-09-01 4.93 0.0493

2006-08-01 5.09 0.0509

2006-07-01 5.08 0.0508 0.0127

2006-06-01 4.92 0.0492

2006-05-01 4.84 0.0484

2006-04-01 4.72 0.0472 0.0118

2006-03-01 4.63 0.0463

2006-02-01 4.54 0.0454

2006-01-01 4.34 0.0434 0.01085

2005-12-01 3.97 0.0397

2005-11-01 3.97 0.0397

2005-10-01 3.79 0.0379 0.009475

2005-09-01 3.49 0.0349

2005-08-01 3.52 0.0352

2005-07-01 3.29 0.0329

0

0

0

Page 63: Andre Powell Term Project

1-Jul-15 17,757.91 0.007855 -0.004631-Jun-15 17,619.51 -0.021721-May-15 18,010.68 0.0095381-Apr-15 17,840.52 0.003623 0.0393582-Mar-15 17,776.12 -0.019672-Feb-15 18,132.70 0.0563792-Jan-15 17,164.95 -0.03693 -0.012971-Dec-14 17,823.07 -0.000293-Nov-14 17,828.24 0.025171-Oct-14 17,390.52 0.020397 0.0499432-Sep-14 17,042.90 -0.003251-Aug-14 17,098.45 0.0323091-Jul-14 16,563.30 -0.01565 -0.00106

2-Jun-14 16,826.60 0.0065461-May-14 16,717.17 0.0082221-Apr-14 16,580.84 0.007485 0.0561823-Mar-14 16,457.66 0.0083293-Feb-14 16,321.71 0.0396762-Jan-14 15,698.85 -0.05295 0.0098482-Dec-13 16,576.66 0.0304761-Nov-13 16,086.41 0.0347791-Oct-13 15,545.75 0.027501 0.0029813-Sep-13 15,129.67 0.0215631-Aug-13 14,810.31 -0.044471-Jul-13 15,499.54 0.039568 0.044457

3-Jun-13 14,909.60 -0.013631-May-13 15,115.57 0.0185831-Apr-13 14,839.80 0.017921 0.0706481-Mar-13 14,578.54 0.0372871-Feb-13 14,054.49 0.013992-Jan-13 13,860.58 0.057725 0.0583463-Dec-12 13,104.14 0.0060311-Nov-12 13,025.58 -0.005411-Oct-12 13,096.46 -0.02535 0.0067484-Sep-12 13,437.13 0.0264531-Aug-12 13,090.84 0.0063162-Jul-12 13,008.68 0.009984 -0.01551

1-Jun-12 12,880.09 0.0392661-May-12 12,393.45 -0.062072-Apr-12 13,213.63 0.00012 0.0459691-Mar-12 13,212.04 0.0200721-Feb-12 12,952.07 0.0252643-Jan-12 12,632.91 0.033996 0.0567041-Dec-11 12,217.56 0.0142691-Nov-11 12,045.68 0.0075843-Oct-11 11,955.01 0.095445 -0.01551-Sep-11 10,913.38 -0.060291-Aug-11 11,613.53 -0.043621-Jul-11 12,143.24 -0.02184 -0.05209

1-Jun-11 12,414.34 -0.012372-May-11 12,569.79 -0.018791-Apr-11 12,810.54 0.039839 0.0772471-Mar-11 12,319.73 0.0076381-Feb-11 12,226.34 0.0281213-Jan-11 11,891.93 0.027158 0.0695631-Dec-10 11,577.51 0.0519251-Nov-10 11,006.02 -0.010121-Oct-10 11,118.49 0.03063 0.062351-Sep-10 10,788.05 0.0772192-Aug-10 10,014.72 -0.043111-Jul-10 10,465.94 0.070792 -0.0493

1-Jun-10 9,774.02 -0.035773-May-10 10,136.63 -0.079211-Apr-10 11,008.61 0.013999 0.0934981-Mar-10 10,856.63 0.0514631-Feb-10 10,325.26 0.025624-Jan-10 10,067.33 -0.03459 0.0365091-Dec-09 10,428.05 0.0080442-Nov-09 10,344.84 0.0650811-Oct-09 9,712.73 4.63E-05 0.0589991-Sep-09 9,712.28 0.0227463-Aug-09 9,496.28 0.0353991-Jul-09 9,171.61 0.085783 0.122854

1-Jun-09 8,447.00 -0.006271-May-09 8,500.33 0.0406721-Apr-09 8,168.12 0.073493 0.0209052-Mar-09 7,608.92 0.0773042-Feb-09 7,062.93 -0.117232-Jan-09 8,000.86 -0.08837 -0.1421-Dec-08 8,776.39 -0.005963-Nov-08 8,829.04 -0.053191-Oct-08 9,325.01 -0.1406 -0.180442-Sep-08 10,850.66 -0.060061-Aug-08 11,543.96 0.0145841-Jul-08 11,378.02 0.002468 -0.11249

2-Jun-08 11,350.01 -0.101941-May-08 12,638.32 -0.014181-Apr-08 12,820.13 0.045441 0.013423-Mar-08 12,262.89 -0.000291-Feb-08 12,266.39 -0.030352-Jan-08 12,650.36 -0.04632 -0.091863-Dec-07 13,264.82 -0.007991-Nov-07 13,371.72 -0.040081-Oct-07 13,930.01 0.002474 0.0543464-Sep-07 13,895.63 0.0402681-Aug-07 13,357.74 0.0110322-Jul-07 13,211.99 -0.01466 0.011412

1-Jun-07 13,408.62 -0.016071-May-07 13,627.64 0.0432322-Apr-07 13,062.91 0.057353 0.0349571-Mar-07 12,354.35 0.0069871-Feb-07 12,268.63 -0.027973-Jan-07 12,621.69 0.012721 0.0447791-Dec-06 12,463.15 0.0197371-Nov-06 12,221.93 0.0116882-Oct-06 12,080.73 0.034391 0.0800171-Sep-06 11,679.07 0.0261771-Aug-06 11,381.15 0.0174753-Jul-06 11,185.68 0.00318 -0.01596

1-Jun-06 11,150.22 -0.001621-May-06 11,168.31 -0.017493-Apr-06 11,367.14 0.023208 0.046231-Mar-06 11,109.32 0.0105441-Feb-06 10,993.41 0.0118323-Jan-06 10,864.86 0.013749 0.0406881-Dec-05 10,717.50 -0.008181-Nov-05 10,805.87 0.0350383-Oct-05 10,440.07 -0.01217 -0.018871-Sep-05 10,568.70 0.008311-Aug-05 10,481.60 -0.014971-Jul-05 10,640.91

Page 64: Andre Powell Term Project

Date Adj Close Returns Quarterly

7/1/2015 2077.42 0.006936 -0.003879189

6/1/2015 2063.11 -0.02101

5/1/2015 2107.39 0.010491

4/1/2015 2085.51 0.008521 0.045373671

3/2/2015 2067.89 -0.0174

2/2/2015 2104.5 0.054893

1/2/2015 1994.99 -0.03104 -0.011426901

12/1/2014 2058.9 -0.00419

11/3/2014 2067.56 0.024534

10/1/2014 2018.05 0.023201 0.045258901

9/2/2014 1972.29 -0.01551

8/1/2014 2003.37 0.037655

7/1/2014 1930.67 -0.01508 0.02479901

6/2/2014 1960.23 0.019058

5/1/2014 1923.57 0.02103

4/1/2014 1883.95 0.006201 0.056861077

3/3/2014 1872.34 0.006932

2/3/2014 1859.45 0.043117

1/2/2014 1782.59 -0.03558 0.014830249

12/2/2013 1848.36 0.023563

11/1/2013 1805.81 0.028049

10/1/2013 1756.54 0.044596 0.042005576

9/3/2013 1681.55 0.02975

8/1/2013 1632.97 -0.0313

7/1/2013 1685.73 0.049462 0.055183834

6/3/2013 1606.28 -0.015

5/1/2013 1630.74 0.020763

4/1/2013 1597.57 0.018086 0.066390293

3/1/2013 1569.19 0.035988

2/1/2013 1514.68 0.011061

1/2/2013 1498.11 0.050428 0.060864172

12/3/2012 1426.19 0.007068

11/1/2012 1416.18 0.002847

10/1/2012 1412.16 -0.01979 0.023808898

9/4/2012 1440.67 0.024236

8/1/2012 1406.58 0.019763

7/2/2012 1379.32 0.012598 -0.013298487

6/1/2012 1362.16 0.039555

5/1/2012 1310.33 -0.06265

4/2/2012 1397.91 -0.0075 0.065147323

3/1/2012 1408.47 0.031332

2/1/2012 1365.68 0.040589

1/3/2012 1312.41 0.043583 0.047163475

12/1/2011 1257.6 0.008533

11/1/2011 1246.96 -0.00506

10/3/2011 1253.3 0.107723 -0.030163725

9/1/2011 1131.42 -0.07176

8/1/2011 1218.89 -0.05679

7/1/2011 1292.28 -0.02147 -0.052309646

6/1/2011 1320.64 -0.01826

5/2/2011 1345.2 -0.0135

4/1/2011 1363.61 0.028495 0.06025098

3/1/2011 1325.83 -0.00105

2/1/2011 1327.22 0.031957

1/3/2011 1286.12 0.022646 0.086929317

12/1/2010 1257.64 0.0653

11/1/2010 1180.55 -0.00229

10/1/2010 1183.26 0.036856 0.074128573

9/1/2010 1141.2 0.087551

8/2/2010 1049.33 -0.04745

7/1/2010 1101.6 0.068778 -0.07170362

6/1/2010 1030.71 -0.05388

5/3/2010 1089.41 -0.08198

4/1/2010 1186.69 0.014759 0.105059222

3/1/2010 1169.43 0.058796

2/1/2010 1104.49 0.028514

1/4/2010 1073.87 -0.03697 0.036364041

12/1/2009 1115.1 0.017771

11/2/2009 1095.63 0.057364

10/1/2009 1036.19 -0.01976 0.049327543

9/1/2009 1057.08 0.035723

8/3/2009 1020.62 0.03356

7/1/2009 987.48 0.074142 0.131380234

6/1/2009 919.32 0.000196

5/1/2009 919.14 0.053081

4/1/2009 872.81 0.093925 0.056824227

3/2/2009 797.87 0.085404

2/2/2009 735.09 -0.10993

1/2/2009 825.88 -0.08566 -0.147478705

12/1/2008 903.25 0.007822

11/3/2008 896.24 -0.07485

10/1/2008 968.75 -0.16942 -0.235627834

9/2/2008 1166.36 -0.09079

8/1/2008 1282.83 0.01219

7/1/2008 1267.38 -0.00986 -0.085313811

6/2/2008 1280 -0.08596

5/1/2008 1400.38 0.010674

4/1/2008 1385.59 0.047547 0.005106755

3/3/2008 1322.7 -0.00596

2/1/2008 1330.63 -0.03476

1/2/2008 1378.55 -0.06116 -0.110256977

12/3/2007 1468.36 -0.00863

11/1/2007 1481.14 -0.04404

10/1/2007 1549.38 0.014822 0.064668401

9/4/2007 1526.75 0.035794

8/1/2007 1473.99 0.012864

7/2/2007 1455.27 -0.03198 -0.018281519

6/1/2007 1503.35 -0.01782

5/1/2007 1530.62 0.032549

4/2/2007 1482.37 0.043291 0.030683339

3/1/2007 1420.86 0.00998

2/1/2007 1406.82 -0.02185

1/3/2007 1438.24 0.014059 0.043761014

12/1/2006 1418.3 0.012616

11/1/2006 1400.63 0.016467

10/2/2006 1377.94 0.031508 0.079331932

9/1/2006 1335.85 0.024566

8/1/2006 1303.82 0.021274

7/3/2006 1276.66 0.005086 -0.025903931

6/1/2006 1270.2 8.66E-05

5/1/2006 1270.09 -0.03092

4/3/2006 1310.61 0.012156 0.023850095

3/1/2006 1294.87 0.011096

2/1/2006 1280.66 0.000453

1/3/2006 1280.08 0.025467 0.060537978

12/1/2005 1248.29 -0.00095

11/1/2005 1249.48 0.035186

10/3/2005 1207.01 -0.01774 -0.022014652

9/1/2005 1228.81 0.006949

8/1/2005 1220.33 -0.01122

7/1/2005 1234.18