Remise du travail Le travail doit-être remis par voie électronique en format Word accompagnées des fichiers de calculs (Excel ou autres) ainsi que des références utilisées. Partie I : Nous avons...

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I want a word document within everything is explained there. For example, where the data stocks are from ? how things are calculated otherwise the rest details is in attachments.


Remise du travail Le travail doit-être remis par voie électronique en format Word accompagnées des fichiers de calculs (Excel ou autres) ainsi que des références utilisées. Partie I : Nous avons couvert dans le cadre du cours différents sujets et modèles. Nous avons principalement couvert les techniques pour déterminer la frontière efficiente par optimisation sous contrainte d’égalité (EGBG, ch.6), par des techniques simplifiées recourant au MEDAF(CAPM) et au modèle de corrélation constante (EGBG, ch.9). En choisissant 10 titres, un Indice boursier adéquat et le taux sans risque (Réserve Fédéral aux États-Unis) : · Obtenir les données mensuelles du rendement total de l'indice pour les marchés boursiers États-uniens ou canadiens, pour la période de 5 ans de janvier 2015 à décembre 2019 ; · Obtenir les données mensuelles du rendement total pour au moins dix actions Etats-Uniennes ou canadiennes, pour la période de 5 ans de janvier 2015 à décembre 2019 : · Obtenir les données mensuelles du rendement des Bons du Trésor Etats-Uniens ou canadien, pour la période de 5 ans de janvier 2015 à décembre 2019 : · Construire le portefeuille optimal selon les techniques présentées en cours (EGBG, ch.6) sans contrainte d’inégalité ; (Utiliser le calcul matriciel sur Excel). Partie II : · Déterminer les coefficients alpha et Béta de chacun des 10 titres selon le modèle à un seul indice (Single index model) ; · Construire le portefeuille optimal selon les techniques présentées en cours (EGBG, ch.9) sans contrainte d’inégalité ; (Utiliser le point de rupture (cut-off rate avec ventes à découvert permise selon la définition de Lintner)) · Construire le portefeuille optimal selon les techniques présentées en cours (EGBG, ch.9) sans contrainte d’inégalité ; (Utiliser le modèle à corrélation constante pour déterminer le cut-off rate, en supposant un coefficient de corrélation de 0.6) ; · Déterminer les coefficients alpha et Béta de chacun des 10 titres selon le modèle du MédAF (CAPM) ; · Effectuer des tests de significativité statistiques des coefficients alpha et beta ; · Déterminer les coefficients alpha et Béta de chacun des 10 titres selon le modèle de Fama-French à trois Facteur ; · Effectuer des tests de significativité statistiques des coefficients alpha et beta ; N.B. : Pour effectuer une régression simple sur Excel, allez dans : Fichier|Options|Complémets|Atteindre|Analysis Toolpack Submission of the work : (ENGLISH VERSION) The work must be submitted electronically in Word format together with the calculation files (Excel or other) and the references used. Part I: In the course we have covered different topics and models. We have mainly covered techniques for determining the efficient frontier by equality constrained optimization (EGBG, ch.6), by simplified techniques using CAPM and the constant correlation model (EGBG, ch.9). By choosing 10 stocks, a suitable stock index and the risk-free rate (Federal Reserve in the US): - Obtain monthly data on the total return of the index for the US or Canadian stock markets, for the 5-year period from January 2015 to December 2019; - Obtain monthly total return data for at least ten US or Canadian stocks, for the 5-year period January 2015 to December 2019: - Obtain monthly total return data for at least ten U.S. or Canadian Treasury Bills, for the 5-year period from January 2015 to December 2019: - Construct the optimal portfolio according to the techniques presented in class (EGBG, ch.6) without inequality constraint; (Use matrix calculation on Excel). Part II: - Determine the alpha and beta coefficients of each of the 10 stocks according to the single index model; - Construct the optimal portfolio according to the techniques presented in class (EGBG, ch.9) without inequality constraint; (Use the cut-off rate with short sales allowed according to Lintner's definition) - Construct the optimal portfolio according to the techniques presented in class (EGBG, ch.9) without inequality constraints; (Use the constant correlation model to determine the cut-off rate, assuming a correlation coefficient of 0.6); - Determine the alpha and beta coefficients for each of the 10 stocks using the CAPM; - Perform statistical significance tests of the alpha and beta coefficients; - Determine the alpha and beta coefficients of each of the 10 stocks according to the Fama-French three-factor model; - Perform statistical significance tests of the alpha and beta coefficients; N.B: To perform a simple regression in Excel, go to : File|Options|Complete|Attach|Analysis Toolpack
Answered 4 days AfterMar 29, 2021

Answer To: Remise du travail Le travail doit-être remis par voie électronique en format Word accompagnées des...

Himanshu answered on Apr 02 2021
147 Votes
Efficient Portfolio
    Date    GILD    Walmart    Apple    Amazon    MSFT    TSLA    NFLX    NVIDIA    AliBABA    GM    S&P    Riskfree    Monthly Returns    GILD    Walmart    Apple    Amazon    MSFT    TSLA    NFLX    NVIDIA    AliBABA    GM    S&P
    12/1/19    61.167389    115.882935    72.675339    1847.839966    155.688324    83.666    323.570007    234.912384    212.100006    35.775085    3230.78    1.92%        -3.4%    -0.2%    10.2%    2.6%    4.5%    26.8%    2.8%    8.6%    6.1%    1.7%    2.9%
    11/1/19    63.294785    116.126724    65.943619    1800.800049    148.942123    65.987999    314.660004    216.223419    200    35.18861    3140.98    1.77%        5.5%    1.6%    7.4%    1.4%    5.6%    4.8%    9.5%    7.8%    13.2%    -3.1%    3.4%                                                                    Sources Yahoo Finance                                                                                                                                                                                            Part 2
    10/1/19    59.971909    114.342262    61.381241    1776.660034    141.061111    62.984001    287.410004    200.540878    176.669998    36.322464    3037.56    1.69%        1.5%    -1.2%    11.1%    2.3%    3.1%    30.7%    7.4%    15.5%    5.6%    0.1%    2.0%                GILD    Walmart    Apple    Amazon    MSFT    TSLA    NFLX    NVIDIA    AliBABA    GM    S&P    Risk Free
    9/1/19    59.109177    115.726929    55.264339    1735.910034    136.791    48.174    267.619995    173.655121    167.229996    36.271202    2976.74    1.67%        -0.3%    4.4%    7.7%    -2.3%    1.2%    6.8%    -8.9%    4.0%    -4.5%    1.1%    1.7%            Returns    -0.4%    0.9%    2.0%    3.2%    2.7%    2.0%    3.5%    5.2%    2.0%    0.8%    0.9%            Monthly Return                                                                                                                                                                                                    GILD    Walmart    Apple    Amazon    MSFT    TSLA    NFLX    NVIDIA    AliBABA    GM
    8/1/19    59.258392    110.871162    51.311405    1776.290039    135.189682    45.
122002    293.75    166.94548    175.029999    35.89378    2926.46    1.50%        -3.0%    3.5%    -2.0%    -4.8%    1.2%    -6.6%    -9.1%    -0.7%    1.1%    -8.1%    -1.8%            Annualized    -4%    12%    27%    45%    37%    26%    51%    83%    27%    10%    11%    2.24%        (1+rate)^12-1                                                                                                                                                                                                Alpha    -17.62%    5.97%    13.20%    28.84%    24.98%    18.54%    35.53%    62.86%    5.48%    -4.56%
    7/1/19    61.104969    107.106216    52.368397    1866.780029    133.630493    48.321999    322.98999    168.151382    173.110001    39.03896    2980.38    2.01%        -2.1%    -0.1%    7.6%    -1.4%    1.7%    8.1%    -12.1%    2.7%    2.2%    5.8%    1.3%            Risks    7%    5%    8%    8%    6%    12%    12%    12%    11%    7%    3%                                                                                                                                                                                                            Beta    1.23    0.37    1.29    1.60    1.16    0.61    1.47    2.02    2.21    1.41
    6/1/19    62.41309    107.212967    48.65168    1893.630005    131.365234    44.692001    367.320007    163.676529    169.449997    36.891991    2941.76    2.01%        8.5%    9.5%    13.5%    6.7%    8.7%    20.7%    7.0%    21.4%    13.5%    15.6%    6.9%            Annualized    23%    18%    26%    28%    20%    42%    41%    43%    37%    26%    12%
    5/1/19    57.507626    97.911255    42.869724    1775.069946    120.837059    37.032001    343.279999    134.849594    149.259995    31.922632    2752.06    2.13%        -4.3%    -1.4%    -12.8%    -7.9%    -5.3%    -22.4%    -7.4%    -25.2%    -19.6%    -14.4%    -6.6%            Beta    1.23    0.37    1.29    1.60    1.16    0.61    1.47    2.02    2.21    1.41                Slope Function                Second Portfolio
    4/1/19    60.085079    99.262558    49.138439    1926.52002    127.598007    47.737999    370.540009    180.184357    185.570007    37.29414    2945.83    2.50%        1.0%    6.0%    5.6%    8.2%    10.7%    -14.7%    3.9%    0.8%    1.7%    6.0%    3.9%            E(Return)    13.14%    5.53%    13.66%    16.39%    12.48%    7.60%    15.20%    20.12%    21.73%    14.67%                CAPM
    3/1/19    59.481907    93.633453    46.513416    1780.75    115.228996    55.972    356.559998    178.750839    182.449997    35.17371    2834.4    2.41%        -0.0%    -1.5%    10.2%    8.6%    5.7%    -12.5%    -0.4%    16.5%    -0.3%    -6.0%    1.8%
    2/1/19    59.491051    95.035126    42.218506    1639.829956    108.989388    63.976002    358.100006    153.406769    183.029999    37.430138    2784.49    2.72%        -7.1%    3.3%    4.0%    -4.6%    7.3%    4.2%    5.5%    7.3%    8.6%    1.2%    3.0%                                                                            1    2    3    4    5    6    7    8    9    10
    1/1/19    64.05674    92.001373    40.582428    1718.72998    101.595657    61.403999    339.5    142.95488    168.490005    36.994022    2704.1    2.63%        12.9%    3.4%    5.5%    14.4%    2.8%    -7.7%    26.8%    7.7%    22.9%    17.9%    7.9%        Part 1                                                                Inverse    GILD    Walmart    Apple    Amazon    MSFT    TSLA    NFLX    NVIDIA    AliBABA    GM
    12/1/18    56.752338    88.943085    38.46114    1501.969971    98.813278    66.559998    267.660004    132.761597    137.070007    31.383244    2506.85    2.69%        -13.1%    -4.6%    -11.4%    -11.1%    -8.0%    -5.0%    -6.5%    -18.2%    -14.8%    -11.9%    -9.2%                1    2    3    4    5    6    7    8    9    10                1    GILD    37.921103902    -3.5732435975    1.5597895472    -6.7687505954    5.1937593232    -1.6662340023    -3.5309879408    1.8969599008    -14.4520069258    1.9754126887
    11/1/18    65.272011    93.239861    43.391079    1690.170044    107.41629    70.096001    286.130005    162.363571    160.860001    35.605202    2760.17    2.99%        5.5%    -2.6%    -18.4%    5.8%    3.8%    3.9%    -5.2%    -22.5%    13.1%    3.7%    1.8%            Covariance    GILD    Walmart    Apple    Amazon    MSFT    TSLA    NFLX    NVIDIA    AliBABA    GM                2    Walmart    -3.5732435975    33.341786633    -1.8573173386    -0.9575892926    -6.3373475259    -1.0109879251    3.00744861    -1.1926217306    4.2661587238    -0.2387696569
    10/1/18    61.860504    95.751068    53.178249    1598.01001    103.464081    67.463997    301.779999    209.4543    142.279999    34.329227    2711.74    3.15%        -11.0%    6.8%    -3.0%    -20.2%    -6.6%    27.4%    -19.3%    -25.0%    -13.6%    9.9%    -6.9%        1    GILD    0.0537180609    0.0010587028    0.0130908609    0.0334229787    0.0165867439    0.0167716829    0.0413304297    0.0227270614    0.056850124    0.0196257502                3    Apple    1.5597895472    -1.8573173386    25.05026748    1.5893635778    -9.1164009946    -2.3173342751    0.2002992989    -5.5601918075    -1.9706767158    -2.1744274147
    9/1/18    69.513733    89.668762    54.849937    2003    110.787262    52.953999    374.130005    279.186279    164.759995    31.249489    2913.98    3.07%        2.0%    -1.5%    -0.5%    -0.5%    2.2%    -12.2%    1.8%    0.2%    -5.9%    -6.6%    0.4%        2    Walmart    0.0010587028    0.0326938699    0.0065872397    0.0030744105    0.0052757203    0.0061118679    -0.0029399445    0.0089249598    -0.00271991    0.0017084113                4    Amazon    -6.7687505954    -0.9575892926    1.5893635778    29.3034858819    -13.5913017387    1.1204626681    -5.6872919575    -2.6386255384    -2.7718444729    1.2051289512
    8/1/18    68.181236    91.002144    55.115868    2012.709961    108.394028    60.332001    367.679993    278.696014    175.009995    33.458393    2901.52    2.86%        -2.7%    7.4%    19.6%    13.2%    5.9%    1.2%    9.0%    14.6%    -6.5%    -4.9%    3.0%        3    Apple    0.0130908609    0.0065872397    0.0698180334    0.0259568891    0.0274147227    0.0279587843    0.0338826779    0.0639045243    0.0385569485    0.0272109647                5    MSFT    5.1937593232    -6.3373475259    -9.1164009946    -13.5913017387    53.6228361908    1.1504274212    -4.6464745825    -1.1313947033    -5.732026732    -3.2502372078
    7/1/18    70.071922    84.70813    46.07476    1777.439941    102.363037    59.627998    337.450012    243.129242    187.229996    35.184685    2816.29    2.96%        10.8%    4.2%    2.8%    4.6%    7.6%    -13.1%    -13.8%    3.4%    0.9%    -2.9%    3.6%        4    Amazon    0.0334229787    0.0030744105    0.0259568891    0.0806741433    0.0366790511    0.0105220513    0.0717564863    0.0571914208    0.0570470082    0.0230232847                6    TSLA    -1.6662340023    -1.0109879251    -2.3173342751    1.1204626681    1.1504274212    6.3756154377    -1.4576745071    0.3865875117    0.9011479652    -2.15623898
    6/1/18    63.268726    81.309555    44.820538    1699.800049    95.154778    68.589996    391.429993    235.225494    185.529999    36.251255    2718.37    2.86%        5.1%    4.4%    -0.6%    4.3%    0.2%    20.4%    11.3%    -6.0%    -6.3%    -7.7%    0.5%        5    MSFT    0.0165867439    0.0052757203    0.0274147227    0.0366790511    0.0416378069    0.0100452394    0.0434035047    0.0435358874    0.0398293328    0.0213323168                7    NFLX    -3.5309879408    3.00744861    0.2002992989    -5.6872919575    -4.6464745825    -1.4576745071    10.6251486036    -1.633866844    0.7268893216    1.6377872766
    5/1/18    60.196384    77.866592    45.072868    1629.619995    94.965103    56.945999    351.600006    250.252655    198.009995    39.287521    2705.27    2.86%        -6.7%    -6.7%    13.1%    4.1%    5.7%    -3.1%    12.5%    12.1%    10.9%    16.2%    2.2%        6    TSLA    0.0167716829    0.0061118679    0.0279587843    0.0105220513    0.0100452394    0.1810217636    0.0366238582    0.0239686251    0.020900282    0.0247055945                8    NVIDIA    1.8969599008    -1.1926217306    -5.5601918075    -2.6386255384    -1.1313947033    0.3865875117    -1.633866844    9.259089491    -0.5222841817    -2.0681542244
    4/1/18    64.510178    83.451408    39.860565    1566.130005    89.853653    58.779999    312.459991    223.172302    178.539993    33.803837    2648.05    2.96%        -3.5%    0.0%    -1.5%    8.2%    2.5%    10.4%    5.8%    -2.9%    -2.7%    2.1%    0.3%        7    NFLX    0.0413304297    -0.0029399445    0.0338826779    0.0717564863    0.0434035047    0.0366238582    0.1742986695    0.0750299114    0.0609891097    0.0228714832                9    AliBABA    -14.4520069258    4.2661587238    -1.9706767158    -2.7718444729    -5.732026732    0.9011479652    0.7268893216    -0.5222841817    20.0839872199    -9.6673800876
    3/1/18    66.859207    83.435097    40.468391    1447.339966    87.691879    53.226002    295.350006    229.810913    183.539993    33.09914    2640.87    2.74%        -4.2%    -1.2%    -5.4%    -4.3%    -2.2%    -22.4%    1.4%    -4.2%    -1.4%    -7.6%    -2.7%        8    NVIDIA    0.0227270614    0.0089249598    0.0639045243    0.0571914208    0.0435358874    0.0239686251    0.0750299114    0.1898790904    0.0628897289    0.0429958558                10    GM    1.9754126887    -0.2387696569    -2.1744274147    1.2051289512    -3.2502372078    -2.15623898    1.6377872766    -2.0681542244    -9.6673800876    25.543102787
    2/1/18    69.821266    84.410393    42.78793    1512.449951    89.672646    68.612    291.380005    239.99176    186.139999    35.840702    2713.83    2.86%        -6.1%    -15.6%    6.4%    4.2%    -1.3%    -3.2%    7.8%    -1.5%    -8.9%    -7.2%    -3.9%        9    AliBABA    0.056850124    -0.00271991    0.0385569485    0.0570470082    0.0398293328    0.020900282    0.0609891097    0.0628897289    0.1403779808    0.0573119467
    1/1/18    74.317566    99.968307    40.21999    1450.890015    90.858444    70.862    270.299988    243.760269    204.289993    38.627808    2823.81    2.71%        17.8%    8.5%    -1.1%    24.1%    11.1%    13.8%    40.8%    27.0%    18.5%    4.4%    5.6%        10    GM    0.0196257502    0.0017084113    0.0272109647    0.0230232847    0.0213323168    0.0247055945    0.0228714832    0.0429958558    0.0573119467    0.0673836409
    12/1/17    63.102116    92.121178    40.652374    1169.469971    81.802261    62.27    191.960007    191.894287    172.429993    36.99786    2673.61    2.41%        -4.2%    1.6%    -1.2%    -0.6%    2.1%    0.8%    2.3%    -3.5%    -2.6%    -4.9%    1.0%                                                                        e-vector    1    1    1    1    1    1    1    1    1    1
    11/1/17    65.867905    90.703224    41.133884    1176.75    80.08989    61.77    187.580002    198.90625    177.080002    38.893333    2647.58    2.42%        -0.2%    11.4%    1.7%    6.5%    1.2%    -6.8%    -4.5%    -2.9%    -4.2%    0.3%    2.8%            Without short sale                                                1st Portfolio            r-vector    13.14%    5.53%    13.66%    16.39%    12.48%    7.60%    15.20%    20.12%    21.73%    14.67%
    10/1/17    66.026443    81.449112    40.461285    1105.280029    79.147881    66.306    196.429993    204.951401    184.889999    38.794048    2575.26    2.38%        -6.9%    11.7%    9.7%    15.0%    11.7%    -2.8%    8.3%    15.7%    7.1%    7.5%    2.2%            Portfolio    GILD    Walmart    Apple    Amazon    MSFT    TSLA    NFLX    NVIDIA    AliBABA    GM    Total
    9/1/17    70.920776    72.894676    36.890041    961.349976    70.879135    68.220001    181.350006    177.163422    172.710007    36.079601    2519.36    2.34%        -3.2%    0.7%    -5.7%    -2.0%    0.2%    -4.2%    3.8%    5.6%    0.6%    10.5%    1.9%            Weight    22%    20%    11%    11%    15%    0%    0%    2%    1%    19%    100%    Solver Function            h-vector    18.5558023003    25.4475168994    5.4033713576    0.8030374835    16.1618394502    1.3257713143    -0.7587227212    -3.2045021265    -9.1380358854    10.806224132
    8/1/17    73.275467    72.374138    39.101368    980.599976    70.768509    71.18    174.710007    167.769592    171.740005    32.648556    2471.65    2.12%        10.0%    -2.4%    10.3%    -0.7%    2.8%    10.0%    -3.8%    4.3%    10.8%    1.6%    0.1%                                                                        g-vector    1.4043449977    1.2063283969    0.6351613363    0.6461614351    0.9823487336    -0.0439337468    -0.2091142941    0.0774123349    -0.0814792849    1.0563859761
    7/1/17    66.605301    74.154053    35.460644    987.780029    68.809288    64.694    181.660004    160.907867    154.949997    32.148197    2470.3    2.30%        8.4%    5.7%    3.3%    2.0%    5.5%    -10.5%    21.6%    12.4%    10.0%    4.2%    1.9%
    6/1/17    61.462681    70.158508    34.337669    968    65.241043    72.321999    149.410004    143.134842    140.899994    30.865555    2423.41    2.30%        9.1%    -3.1%    -5.3%    -2.7%    -0.7%    6.0%    -8.4%    0.3%    15.1%    2.9%    0.5%            Return    12.41%
    5/1/17    56.34803    72.381096    36.27177    994.619995    65.725601    68.202003    163.070007    142.776566    122.459999    29.981922    2411.8    2.21%        -5.3%    4.5%    6.3%    7.5%    2.0%    8.6%    7.1%    38.4%    6.0%    -2.0%    1.2%            Risk    15.09%                                                        alpha     65.40
    4/1/17    59.526226    69.231682    34.108673    924.98999    64.42691    62.813999    152.199997    103.163094    115.5    30.609301    2384.2    2.29%        1.7%    5.1%    -0.0%    4.3%    3.9%    12.9%    3.0%    -4.3%    7.1%    -1.0%    0.9%                                                                        beta    5.67
    3/1/17    58.528805    65.892448    34.111042    886.539978    61.980083    55.66    147.809998    107.74263    107.830002    30.929071    2362.72    2.39%        -3.6%    1.6%    5.3%    4.9%    3.6%    11.3%    4.0%    7.5%    4.8%    -4.0%    -0.0%            Theta    5                                                        gamma    0.6843426376
    2/1/17    60.734848    64.841156    32.386887    845.039978    59.848015    49.998001    142.130005    100.247314    102.900002    32.223614    2363.64    2.40%        -2.7%    6.3%    12.9%    2.6%    -1.0%    -0.8%    1.0%    -7.1%    1.6%    0.6%    3.7%            Utility    6.7%                                                        delta    12.5676667916
    1/1/17    62.432468    61.010853    28.689308    823.47998    60.474731    50.386002    140.710007    107.853775    101.309998    32.022434    2278.87    2.47%        1.8%    -2.8%    4.8%    9.8%    4.0%    17.9%    13.7%    2.3%    15.4%    6.2%    1.8%
    12/1/16    61.313839    62.737526    27.381918    749.869995    58.126839    42.737999    123.800003    105.443413    87.809998    30.147202    2238.83    2.45%        -2.8%    -1.9%    5.3%    -0.1%    3.8%    12.8%    5.8%    15.9%    -6.6%    0.9%    1.8%
    11/1/16    63.103329    63.926575    25.995438    750.570007    55.990009    37.880001    117    90.943855    94.019997    29.878952    2198.81    2.39%        0.1%    0.6%    -2.7%    -5.0%    0.6%    -4.2%    -6.3%    29.6%    -7.5%    9.3%    3.4%                                                                            GILD    Walmart    Apple    Amazon    MSFT    TSLA    NFLX    NVIDIA    AliBABA    GM
    10/1/16    63.0434    63.55442    26.705769    789.820007    55.674103    39.546001    124.870003    70.190536    101.690002    27.343615    2126.15    1.83%        -6.4%    -2.9%    0.4%    -5.7%    4.0%    -3.1%    26.7%    3.9%    -3.9%    0.7%    -1.9%                                                                        MVP    28%    39%    8%    1%    25%    2%    -1%    -5%    -14%    17%
    9/1/16    67.336151    65.46051    26.590519    837.309998    53.518501    40.806    98.550003    67.586494    105.790001    27.16548    2168.27    1.60%        0.9%    1.6%    7.1%    8.9%    0.9%    -3.8%    1.1%    11.9%    8.8%    -0.5%    -0.1%
    8/1/16    66.706367    64.402435    24.821346    769.159973    53.057735    42.402    97.449997    60.393021    97.190002    27.293745    2170.95    1.58%        -1.4%    -2.1%    1.8%    1.4%    1.4%    -9.7%    6.8%    7.4%    17.8%    1.2%    -0.1%                                                                        MVP Returns    8.67%    8.67%
    7/1/16    67.634003    65.7817    24.379189    758.809998    52.337479    46.958    91.25    56.218475    82.480003    26.968822    2173.6    1.45%        -4.2%    -0.1%    9.0%    6.0%    10.8%    10.6%    -0.3%    21.5%    3.7%    12.9%    3.6%                                                                        Risk    12.37%    12.37%
    6/1/16    70.598389    65.826782    22.364946    715.619995    47.24963    42.456001    91.480003    46.284256    79.529999    23.894218    2098.86    1.48%        -4.2%    3.9%    -3.7%    -1.0%    -2.8%    -4.9%    -10.8%    0.9%    -3.0%    -9.5%    0.1%
    5/1/16    73.678925    63.34367    23.220165    722.789978    48.599503    44.646    102.57    45.879593    82    26.410284    2096.95    1.85%        -1.3%    5.8%    6.5%    9.6%    6.3%    -7.3%    13.9%    31.5%    6.6%    -1.6%    1.5%                                                                        EPF function    Risk...
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