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{"sheet":"Inputs","index":0,"n_rows":1048576,"n_cols":9,"rows_kept":4500,"cut":true,"hidden":false,"merged":[],"bounds":{"rows_first":2000,"rows_last":500,"rows_between":2000,"halvings":0},"read":"row_number_cap"}
["Am I Diversified? An Exercise for Finance Students"]
["Developed by Bill Reese and Russ Robins"]
[]
["Today's date",{"$f":"TODAY()","v":"2018-05-07"},"Place the ticker symbols for the 30 stocks you select in the cells C15-C44 and click the \"Download\" cell. This spreadsheet will do the rest."]
["Start date  ",{"$f":"DATE(YEAR(endDate)-5, MONTH(endDate), 15)","v":"2013-03-15"},"The adjusted closing prices for those 30 stocks and for the S&P 500 will be downloaded from Yahoo! Finance for the most recent 61 months."]
["End date  ",{"$f":"DATE(YEAR(B4), MONTH(B4)-2, 15)","v":"2018-03-15"},"The program will calculate the standard deviations of the monthly returns, build a correlation matrix, and a variance/covariance matrix."]
[null,null,"The standard deviations for 30 different equally-weighted portfolios will be calculated and graphed against the number of stocks in each portfolio."]
[null,null,"The solid black line on the graph is the standard deviation of the S&P 500."]
[]
[]
[]
[]
[]
[null,null,"Ticker Symbol"]
[null,1,"NFLX"]
[null,2,"FB"]
[null,3,"BA"]
[null,4,"CAT"]
[null,5,"AAPL"]
[null,6,"INTC"]
[null,7,"AXP"]
[null,8,"YUM"]
[null,9,"MSFT"]
[null,10,"CSCO"]
[null,11,"CVX"]
[null,12,"GOOGL"]
[null,13,"JPM"]
[null,14,"GE"]
[null,15,"WMT"]
[null,16,"IBM"]
[null,17,"DIS"]
[null,18,"MRK"]
[null,19,"TRV"]
[null,20,"VZ"]
[null,21,"UTX"]
[null,22,"HD"]
[null,23,"XOM"]
[null,24,"UNH"]
[null,25,"MMM"]
[null,26,"PFE"]
[null,27,"PG"]
[null,28,"KO"]
[null,29,"MCD"]
[null,30,"JNJ"]
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["m"]
["^GSPC",null,null,null,null,null,null,null,"^GSPC"]

{"sheet":"price data","index":1,"n_rows":62,"n_cols":32,"rows_kept":62,"cut":false,"hidden":false,"merged":[]}
["Date","NFLX","FB","BA","CAT","AAPL","INTC","AXP","YUM","MSFT","CSCO","CVX","GOOGL","JPM","GE","WMT","IBM","DIS","MRK","TRV","VZ","UTX","HD","XOM","UNH","MMM","PFE","PG","KO","MCD","JNJ","GSPC"]
["2013-04-01",30.867144,27.77,79.880913000000007,70.533905000000004,47.519817000000003,20.365269000000001,63.394706999999997,42.829250000000002,29.085917999999999,17.674651999999998,100.24942,412.69769300000002,42.535645000000002,18.624286999999999,68.239013999999997,170.25924699999999,58.742527000000003,40.021393000000003,76.160422999999994,42.471404999999997,81.254929000000004,65.978378000000006,74.952713000000003,55.079880000000003,92.722945999999993,24.366530999999998,65.046149999999997,36.171722000000003,86.805358999999996,74.213195999999996,1597.5699460000001]
["2013-05-01",32.321429999999999,24.35,86.531081999999998,71.934394999999995,48.265701,20.645885,70.367607000000007,42.895888999999997,30.667636999999999,20.542964999999999,100.857437,436.04605099999998,47.674754999999998,19.484891999999999,65.710335000000001,174.86586,58.966876999999997,39.765948999999999,74.653426999999994,38.594588999999999,84.468093999999994,70.754722999999998,76.199286999999998,57.561377999999998,97.646439000000001,22.824238000000001,65.515120999999994,34.172150000000002,82.071608999999995,73.298896999999997,1630.73999]
["2013-06-01",30.155714,24.879999000000002,89.980141000000003,69.159317000000001,44.609520000000003,20.797457000000001,69.484641999999994,43.902596000000003,30.564122999999999,20.730339000000001,98.018119999999996,440.62564099999997,46.102772000000002,19.376273999999999,65.795326000000003,161.40399199999999,59.032310000000003,39.553058999999998,71.264945999999995,40.075329000000004,83.187492000000006,69.684296000000003,76.624626000000006,60.180732999999996,97.383842000000001,23.673753999999999,65.711417999999995,34.274684999999998,84.795981999999995,75.323752999999996,1606.280029]
["2013-07-01",34.925713000000002,36.799999,92.316604999999996,69.511429000000007,50.909495999999997,20.033535000000001,68.564507000000006,46.169277000000001,28.174917000000001,21.79496,104.271591,444.31930499999999,48.670333999999997,20.524837000000002,68.842628000000005,164.72309899999999,60.434505000000001,41.394374999999997,74.957572999999996,39.390689999999999,94.492180000000005,71.439826999999994,79.508125000000007,67.545081999999994,104.579643,24.704885000000001,68.536522000000005,34.485779000000001,84.007957000000005,82.026206999999999,1685.7299800000001]
["2013-08-01",40.558571000000001,41.290000999999997,91.280128000000005,69.683609000000004,54.812119000000003,18.866195999999999,67.039597000000001,44.617958000000002,29.555344000000002,19.992722000000001,99.749190999999996,423.87387100000001,44.450859000000001,19.488909,64.461578000000003,153.93806499999999,56.863585999999998,40.638165000000001,71.682968000000002,38.101398000000003,89.596176,67.335883999999993,73.919235,66.515929999999997,101.150948,24.037230000000001,66.977119000000002,32.850963999999998,80.821701000000004,75.806258999999997,1632.969971]
["2013-09-01",44.172854999999998,50.23,103.678146,70.409667999999996,56.215423999999999,19.865528000000001,70.405090000000001,45.490940000000002,29.656673000000001,20.095649999999999,101.46682,438.39340199999998,45.471305999999998,20.120573,65.723884999999996,157.17752100000001,60.284934999999997,40.913158000000003,76.052100999999993,37.530434,96.991951,68.565262000000004,73.473724000000004,66.395377999999994,106.93126700000001,24.480312000000001,64.999374000000003,32.592846000000002,83.072006000000002,76.624900999999994,1681.5500489999999]
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[]
[]
[]
[null,"Standard Deviations"]
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{"sheet":"Var-Cov Matrix","index":4,"n_rows":67,"n_cols":31,"rows_kept":67,"cut":false,"hidden":false,"merged":[[35,0,35,5]]}
[]
["Variance/Covariance Matrix"]
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[{"$f":"'Corr. Matrix'!B34","v":"MCD"},{"$f":"'Corr. Matrix'!C34*'Corr. Matrix'!B$40*'Corr. Matrix'!B68","v":-7.7660179988172208E-4},{"$f":"'Corr. Matrix'!D34*'Corr. Matrix'!B$41*'Corr. Matrix'!B68","v":4.5304138150912887E-4},{"$f":"'Corr. Matrix'!E34*'Corr. Matrix'!B$42*'Corr. Matrix'!B68","v":5.8655467128833415E-4},{"$f":"'Corr. Matrix'!F34*'Corr. Matrix'!B$43*'Corr. Matrix'!B68","v":6.2947607454187302E-4},{"$f":"'Corr. Matrix'!G34*'Corr. Matrix'!B$44*'Corr. Matrix'!B68","v":3.284330335262742E-4},{"$f":"'Corr. Matrix'!H34*'Corr. Matrix'!B$45*'Corr. Matrix'!B68","v":3.9753444849902048E-4},{"$f":"'Corr. Matrix'!I34*'Corr. Matrix'!B$46*'Corr. Matrix'!B68","v":8.4064523008974196E-5},{"$f":"'Corr. Matrix'!J34*'Corr. Matrix'!B$47*'Corr. Matrix'!B68","v":6.2307036633924852E-4},{"$f":"'Corr. Matrix'!K34*'Corr. Matrix'!B$48*'Corr. Matrix'!B68","v":7.5861146168947633E-4},{"$f":"'Corr. Matrix'!L34*'Corr. Matrix'!B$49*'Corr. Matrix'!B68","v":7.2291044324206811E-5},{"$f":"'Corr. Matrix'!M34*'Corr. Matrix'!B$50*'Corr. Matrix'!B68","v":8.2531146126441882E-4},{"$f":"'Corr. Matrix'!N34*'Corr. Matrix'!B$51*'Corr. Matrix'!B68","v":7.0571925763987194E-4},{"$f":"'Corr. Matrix'!O34*'Corr. Matrix'!B$52*'Corr. Matrix'!B68","v":2.9911670140719756E-4},{"$f":"'Corr. Matrix'!P34*'Corr. Matrix'!B$53*'Corr. Matrix'!B68","v":6.7938255958649701E-4},{"$f":"'Corr. Matrix'!Q34*'Corr. Matrix'!B$54*'Corr. Matrix'!B68","v":6.8836575928985292E-4},{"$f":"'Corr. Matrix'!R34*'Corr. Matrix'!B$55*'Corr. Matrix'!B68","v":6.2155738999347668E-5},{"$f":"'Corr. Matrix'!S34*'Corr. Matrix'!B$56*'Corr. Matrix'!B68","v":5.6930790159600219E-4},{"$f":"'Corr. Matrix'!T34*'Corr. Matrix'!B$57*'Corr. Matrix'!B68","v":4.0981674172261412E-4},{"$f":"'Corr. Matrix'!U34*'Corr. Matrix'!B$58*'Corr. Matrix'!B68","v":8.4816994809365173E-4},{"$f":"'Corr. Matrix'!V34*'Corr. Matrix'!B$59*'Corr. Matrix'!B68","v":7.5618602808809918E-4},{"$f":"'Corr. Matrix'!W34*'Corr. Matrix'!B$60*'Corr. Matrix'!B68","v":3.8681603666976781E-4},{"$f":"'Corr. Matrix'!X34*'Corr. Matrix'!B$61*'Corr. Matrix'!B68","v":5.7993669980780553E-4},{"$f":"'Corr. Matrix'!Y34*'Corr. Matrix'!B$62*'Corr. Matrix'!B68","v":5.840248782642255E-4},{"$f":"'Corr. Matrix'!Z34*'Corr. Matrix'!B$63*'Corr. Matrix'!B68","v":4.7427348863383651E-4},{"$f":"'Corr. Matrix'!AA34*'Corr. Matrix'!B$64*'Corr. Matrix'!B68","v":5.3533596487086589E-4},{"$f":"'Corr. Matrix'!AB34*'Corr. Matrix'!B$65*'Corr. Matrix'!B68","v":4.8001272964685946E-4},{"$f":"'Corr. Matrix'!AC34*'Corr. Matrix'!B$66*'Corr. Matrix'!B68","v":3.4973115653143624E-4},{"$f":"'Corr. Matrix'!AD34*'Corr. Matrix'!B$67*'Corr. Matrix'!B68","v":9.1752239210826593E-4},{"$f":"'Corr. Matrix'!AE34*'Corr. Matrix'!B$68*'Corr. Matrix'!B68","v":1.4742246079307777E-3},{"$f":"AD34","v":6.998980161471444E-4}]
[{"$f":"'Corr. Matrix'!B35","v":"JNJ"},{"$f":"'Corr. Matrix'!C35*'Corr. Matrix'!B$40*'Corr. Matrix'!B69","v":-9.4396094764671835E-4},{"$f":"'Corr. Matrix'!D35*'Corr. Matrix'!B$41*'Corr. Matrix'!B69","v":4.6644218608449478E-4},{"$f":"'Corr. Matrix'!E35*'Corr. Matrix'!B$42*'Corr. Matrix'!B69","v":5.4089961858687396E-4},{"$f":"'Corr. Matrix'!F35*'Corr. Matrix'!B$43*'Corr. Matrix'!B69","v":5.3372502341322782E-4},{"$f":"'Corr. Matrix'!G35*'Corr. Matrix'!B$44*'Corr. Matrix'!B69","v":6.844508415051226E-4},{"$f":"'Corr. Matrix'!H35*'Corr. Matrix'!B$45*'Corr. Matrix'!B69","v":5.7447145419831775E-4},{"$f":"'Corr. Matrix'!I35*'Corr. Matrix'!B$46*'Corr. Matrix'!B69","v":2.8838902864488861E-4},{"$f":"'Corr. Matrix'!J35*'Corr. Matrix'!B$47*'Corr. Matrix'!B69","v":5.7555822464754036E-4},{"$f":"'Corr. Matrix'!K35*'Corr. Matrix'!B$48*'Corr. Matrix'!B69","v":4.5442459121575337E-4},{"$f":"'Corr. Matrix'!L35*'Corr. Matrix'!B$49*'Corr. Matrix'!B69","v":3.8298720270459665E-4},{"$f":"'Corr. Matrix'!M35*'Corr. Matrix'!B$50*'Corr. Matrix'!B69","v":8.0569644880045335E-4},{"$f":"'Corr. Matrix'!N35*'Corr. Matrix'!B$51*'Corr. Matrix'!B69","v":5.1177193124314299E-4},{"$f":"'Corr. Matrix'!O35*'Corr. Matrix'!B$52*'Corr. Matrix'!B69","v":4.9152420025415605E-4},{"$f":"'Corr. Matrix'!P35*'Corr. Matrix'!B$53*'Corr. Matrix'!B69","v":7.5438774087728468E-4},{"$f":"'Corr. Matrix'!Q35*'Corr. Matrix'!B$54*'Corr. Matrix'!B69","v":8.1479580894812311E-4},{"$f":"'Corr. Matrix'!R35*'Corr. Matrix'!B$55*'Corr. Matrix'!B69","v":4.1666039435804417E-4},{"$f":"'Corr. Matrix'!S35*'Corr. Matrix'!B$56*'Corr. Matrix'!B69","v":5.3694070105049963E-4},{"$f":"'Corr. Matrix'!T35*'Corr. Matrix'!B$57*'Corr. Matrix'!B69","v":2.9205693786687082E-4},{"$f":"'Corr. Matrix'!U35*'Corr. Matrix'!B$58*'Corr. Matrix'!B69","v":9.5721046174599637E-4},{"$f":"'Corr. Matrix'!V35*'Corr. Matrix'!B$59*'Corr. Matrix'!B69","v":6.6005040716000951E-4},{"$f":"'Corr. Matrix'!W35*'Corr. Matrix'!B$60*'Corr. Matrix'!B69","v":7.1989875070730986E-4},{"$f":"'Corr. Matrix'!X35*'Corr. Matrix'!B$61*'Corr. Matrix'!B69","v":4.851510562218751E-4},{"$f":"'Corr. Matrix'!Y35*'Corr. Matrix'!B$62*'Corr. Matrix'!B69","v":7.6484280770870423E-4},{"$f":"'Corr. Matrix'!Z35*'Corr. Matrix'!B$63*'Corr. Matrix'!B69","v":4.7949292034973017E-4},{"$f":"'Corr. Matrix'!AA35*'Corr. Matrix'!B$64*'Corr. Matrix'!B69","v":9.4357829077247916E-4},{"$f":"'Corr. Matrix'!AB35*'Corr. Matrix'!B$65*'Corr. Matrix'!B69","v":7.7053579286870226E-4},{"$f":"'Corr. Matrix'!AC35*'Corr. Matrix'!B$66*'Corr. Matrix'!B69","v":8.0623041966913355E-4},{"$f":"'Corr. Matrix'!AD35*'Corr. Matrix'!B$67*'Corr. Matrix'!B69","v":8.7000323298220498E-4},{"$f":"'Corr. Matrix'!AE35*'Corr. Matrix'!B$68*'Corr. Matrix'!B69","v":6.998980161471444E-4},{"$f":"'Corr. Matrix'!AF35*'Corr. Matrix'!B69*'Corr. Matrix'!B69","v":1.3761530021945442E-3}]
[]
["Portfolio Standard Deviation"]
["N","1/N","(1/N)^2","Sum","Variance","Stand Dev"]
[1,{"$f":"1/A38","v":1},{"$f":"B38^2","v":1},{"$f":"SUM(B5)","v":1.4163866633481429E-2},{"$f":"C38*D38","v":1.4163866633481429E-2},{"$f":"SQRT(E38)","v":0.11901204406899929}]
[2,0.5,0.25,{"$f":"SUM(B5:C6)","v":2.6046102304183399E-2},6.5115255760458497E-3,8.0694024413495755E-2]
[3,0.33333333333333331,0.1111111111111111,{"$f":"SUM(B5:D7)","v":3.7002415831686918E-2},4.111379536854102E-3,6.4120040056554098E-2]
[4,0.25,6.25E-2,{"$f":"SUM(B5:E8)","v":4.4590728417678721E-2},2.7869205261049201E-3,5.279129214278544E-2]
[5,0.2,4.0000000000000008E-2,{"$f":"SUM(B5:F9)","v":5.9194031414941228E-2},2.3677612565976497E-3,4.8659647107204239E-2]
[6,0.16666666666666666,2.7777777777777776E-2,{"$f":"SUM(B5:G10)","v":6.9583262846654823E-2},1.9328684124070782E-3,4.3964399375029314E-2]
[7,0.14285714285714285,2.0408163265306121E-2,{"$f":"SUM(B5:H11)","v":8.5661924085168234E-2},1.748202532350372E-3,4.1811511959631072E-2]
[8,0.125,1.5625E-2,{"$f":"SUM(B5:I12)","v":9.8184426121670887E-2},1.5341316581511076E-3,3.9167992776642353E-2]
[9,0.1111111111111111,1.2345679012345678E-2,{"$f":"SUM(B5:J13)","v":0.11718928955104337},1.4467813524820167E-3,3.803657913748313E-2]
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