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{"sheet":"Stocks","index":1,"n_rows":40,"n_cols":3,"rows_kept":40,"cut":false,"hidden":false,"merged":[]}
["Stock symbols and names"]
[]
["Symbol","Name"]
["AAPL","Apple Computer"]
["AXP","American Express"]
["BA","Boeing"]
["CAT","Caterpillar"]
["CSCO","Cisco Systems"]
["CVX","Chevron"]
["DIS","Disney"]
["F","Ford"]
["FDX","Federal Express"]
["GE","General Electric"]
["GS","Goldman Sachs Group"]
["GT","Goodyear Tire & Rubber"]
["HD","Home Depot"]
["HPQ","Hewlett Packard"]
["IBM","International Business Machines"]
["INTC","Intel"]
["IP","International Paper"]
["JNJ","Johnson & Johnson"]
["JPM","JP Morgan Chase"]
["KO","Coca Cola"]
["MAT","Mattel"]
["MCD","McDonald's"]
["MMM","3M"]
["MO","Altria Group","(formerly Philip Morris)"]
["MRK","Merck"]
["MSFT","Microsoft"]
["NKE","Nike"]
["PFE","Pfizer"]
["PG","Procter & Gamble"]
["T","AT&T"]
["TRV","Travelers Companies"]
["UNH","UnitedHealth Group"]
["UTX","United Technologies"]
["VZ","Verizon Communications"]
["VZ","Visa"]
["WMT","Walmart"]
["XOM","Exxon Mobil"]

{"sheet":"ClosingPrices","index":2,"n_rows":251,"n_cols":4,"rows_kept":251,"cut":false,"hidden":false,"merged":[]}
["Date","AAPL","AXP","BA"]
["2018-02-23","174.44","97.71","355.92"]
["2018-02-22","172.50","97.35","355.92"]
["2018-02-21","171.07","97.50","352.37"]
["2018-02-20","171.85","97.19","353.35"]
["2018-02-16","172.43","96.79","355.04"]
["2018-02-15","172.99","96.56","356.46"]
["2018-02-14","167.37","96.23","344.85"]
["2018-02-13","164.34","94.56","343.16"]
["2018-02-12","162.71","94.70","343.80"]
["2018-02-09","156.41","91.72","332.83"]
["2018-02-08","154.52","88.34","329.66"]
["2018-02-07","158.89","93.61","346.41"]
["2018-02-06","162.37","94.18","339.24"]
["2018-02-05","155.85","92.01","327.26"]
["2018-02-02","159.85","96.68","347.20"]
["2018-02-01","167.10","100.00","355.19"]
["2018-01-31","166.75","99.40","352.63"]
["2018-01-30","166.29","98.71","336.05"]
["2018-01-29","167.28","99.41","339.15"]
["2018-01-26","170.81","99.63","341.53"]
["2018-01-25","170.42","99.69","341.42"]
["2018-01-24","173.51","99.30","333.05"]
["2018-01-23","176.32","97.98","333.94"]
["2018-01-22","176.28","98.32","336.34"]
["2018-01-19","177.74","98.03","336.07"]
["2018-01-18","178.53","99.86","338.49"]
["2018-01-17","178.37","100.76","349.29"]
["2018-01-16","175.47","100.34","333.51"]
["2018-01-12","176.37","100.97","334.56"]
["2018-01-11","174.57","100.73","326.51"]
["2018-01-10","173.58","101.22","318.69"]
["2018-01-09","173.62","100.52","316.87"]
["2018-01-08","173.64","100.15","308.63"]
["2018-01-05","174.29","101.08","307.32"]
["2018-01-04","172.33","100.85","295.21"]
["2018-01-03","171.53","99.20","296.34"]
["2018-01-02","171.56","98.59","295.38"]
["2017-12-29","168.54","98.96","293.46"]
["2017-12-28","170.39","99.35","294.89"]
["2017-12-27","169.91","98.78","294.17"]
["2017-12-26","169.88","98.22","293.91"]
["2017-12-22","174.30","98.39","293.65"]
["2017-12-21","174.30","98.15","293.58"]
["2017-12-20","173.64","98.16","296.44"]
["2017-12-19","173.83","98.80","295.79"]
["2017-12-18","175.70","99.33","294.69"]
["2017-12-15","173.26","98.17","292.50"]
["2017-12-14","171.52","96.81","292.44"]
["2017-12-13","171.57","97.44","290.41"]
["2017-12-12","171.00","99.02","288.52"]
["2017-12-11","171.97","98.65","281.77"]
["2017-12-08","168.68","98.20","284.50"]
["2017-12-07","168.63","98.23","280.58"]
["2017-12-06","168.32","97.86","276.90"]
["2017-12-05","168.95","98.36","274.19"]
["2017-12-04","169.11","98.24","276.60"]
["2017-12-01","170.36","97.52","270.05"]
["2017-11-30","171.15","97.37","275.44"]
["2017-11-29","168.79","96.26","267.98"]
["2017-11-28","172.37","94.95","266.67"]
["2017-11-27","173.38","93.14","264.28"]
["2017-11-24","174.26","93.15","264.57"]
["2017-11-22","174.25","93.49","263.85"]
["2017-11-21","172.44","94.08","265.68"]
["2017-11-20","169.29","93.62","263.33"]
["2017-11-17","169.46","93.36","260.97"]
["2017-11-16","170.41","93.23","262.40"]
["2017-11-15","168.39","92.93","261.57"]
["2017-11-14","170.64","93.43","260.47"]
["2017-11-13","173.26","93.57","261.13"]
["2017-11-10","173.96","93.19","259.57"]
["2017-11-09","174.54","93.42","261.41"]
["2017-11-08","174.90","94.80","262.85"]
["2017-11-07","173.48","95.03","263.41"]
["2017-11-06","172.92","95.95","261.37"]
["2017-11-03","171.18","96.09","259.07"]
["2017-11-02","166.83","95.64","259.94"]
["2017-11-01","165.62","95.45","255.85"]
["2017-10-31","167.75","95.18","255.34"]
["2017-10-30","165.45","94.74","256.60"]
["2017-10-27","161.81","95.45","253.84"]
["2017-10-26","156.21","95.35","256.62"]
["2017-10-25","155.22","93.20","255.78"]
["2017-10-24","155.90","93.53","263.28"]
["2017-10-23","154.98","92.06","259.64"]
["2017-10-20","155.06","91.77","262.04"]
["2017-10-19","154.79","91.58","256.39"]
["2017-10-18","158.54","91.76","257.38"]
["2017-10-17","159.25","91.37","255.97"]
["2017-10-13","155.79","92.53","258.07"]
["2017-10-12","154.81","91.29","259.23"]
["2017-10-11","155.36","91.64","258.76"]
["2017-10-10","154.71","91.57","258.26"]
["2017-10-09","154.65","91.37","255.75"]
["2017-10-06","154.12","91.23","255.93"]
["2017-10-05","154.20","90.84","256.24"]
["2017-10-04","152.31","90.34","253.14"]
["2017-10-03","153.30","90.76","252.85"]
["2017-10-02","152.64","89.87","253.37"]
["2017-09-29","152.94","89.80","251.61"]
["2017-09-28","152.11","89.48","251.67"]
["2017-09-27","153.05","88.83","252.67"]
["2017-09-26","151.97","88.04","251.10"]
["2017-09-25","149.40","87.56","251.72"]
["2017-09-22","150.73","87.75","253.83"]
["2017-09-21","152.22","87.77","253.42"]
["2017-09-20","154.88","87.78","252.85"]
["2017-09-19","157.52","88.35","249.88"]
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["2017-09-15","158.66","86.35","246.45"]
["2017-09-14","157.07","85.56","242.72"]
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["2017-09-12","159.63","85.91","238.12"]
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["2017-08-31","162.75","85.47","237.21"]
["2017-08-30","162.10","85.06","238.00"]
["2017-08-29","161.67","84.79","238.03"]
["2017-08-28","160.24","84.78","234.75"]
["2017-08-25","158.64","84.84","233.48"]
["2017-08-24","158.06","84.73","236.30"]
["2017-08-23","158.76","84.65","235.65"]
["2017-08-22","158.56","84.67","237.30"]
["2017-08-21","156.01","84.67","233.27"]
["2017-08-18","156.30","84.75","233.36"]
["2017-08-17","156.66","85.46","233.18"]
["2017-08-16","159.72","86.75","235.16"]
["2017-08-15","160.37","86.15","236.72"]
["2017-08-14","158.63","84.84","234.72"]
["2017-08-11","156.28","83.67","232.48"]
["2017-08-10","154.14","83.94","230.50"]
["2017-08-09","159.21","85.06","231.91"]
["2017-08-08","158.24","85.31","235.64"]
["2017-08-07","156.98","85.22","236.36"]
["2017-08-04","154.59","85.34","233.88"]
["2017-08-03","153.78","84.91","234.41"]
["2017-08-02","155.33","84.67","234.12"]
["2017-08-01","148.32","84.61","235.58"]
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["Date","AAPL","AXP","BA"]
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["2018-02-22",{"$f":"(ClosingPrices!B3-ClosingPrices!B4)/ClosingPrices!B4","v":8.3591512246449229E-3},{"$f":"(ClosingPrices!C3-ClosingPrices!C4)/ClosingPrices!C4","v":-1.5384615384615968E-3},{"$f":"(ClosingPrices!D3-ClosingPrices!D4)/ClosingPrices!D4","v":1.0074637454947957E-2}]
["2018-02-21",{"$f":"(ClosingPrices!B4-ClosingPrices!B5)/ClosingPrices!B5","v":-4.5388420133837719E-3},{"$f":"(ClosingPrices!C4-ClosingPrices!C5)/ClosingPrices!C5","v":3.1896285626093453E-3},{"$f":"(ClosingPrices!D4-ClosingPrices!D5)/ClosingPrices!D5","v":-2.7734540823546572E-3}]
["2018-02-20",{"$f":"(ClosingPrices!B5-ClosingPrices!B6)/ClosingPrices!B6","v":-3.3636838137215824E-3},{"$f":"(ClosingPrices!C5-ClosingPrices!C6)/ClosingPrices!C6","v":4.1326583324722745E-3},{"$f":"(ClosingPrices!D5-ClosingPrices!D6)/ClosingPrices!D6","v":-4.7600270392068435E-3}]
["2018-02-16",{"$f":"(ClosingPrices!B6-ClosingPrices!B7)/ClosingPrices!B7","v":-3.2371813399618603E-3},{"$f":"(ClosingPrices!C6-ClosingPrices!C7)/ClosingPrices!C7","v":2.3819386909693869E-3},{"$f":"(ClosingPrices!D6-ClosingPrices!D7)/ClosingPrices!D7","v":-3.983616675082644E-3}]
["2018-02-15",{"$f":"(ClosingPrices!B7-ClosingPrices!B8)/ClosingPrices!B8","v":3.3578299575790192E-2},{"$f":"(ClosingPrices!C7-ClosingPrices!C8)/ClosingPrices!C8","v":3.4292840070663856E-3},{"$f":"(ClosingPrices!D7-ClosingPrices!D8)/ClosingPrices!D8","v":3.3666811657242154E-2}]
["2018-02-14",{"$f":"(ClosingPrices!B8-ClosingPrices!B9)/ClosingPrices!B9","v":1.8437385907265433E-2},{"$f":"(ClosingPrices!C8-ClosingPrices!C9)/ClosingPrices!C9","v":1.7660744500846041E-2},{"$f":"(ClosingPrices!D8-ClosingPrices!D9)/ClosingPrices!D9","v":4.9248164121692434E-3}]
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["2018-02-07",{"$f":"(ClosingPrices!B13-ClosingPrices!B14)/ClosingPrices!B14","v":-2.1432530639896644E-2},{"$f":"(ClosingPrices!C13-ClosingPrices!C14)/ClosingPrices!C14","v":-6.0522403907412124E-3},{"$f":"(ClosingPrices!D13-ClosingPrices!D14)/ClosingPrices!D14","v":2.1135479306685578E-2}]
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["2017-03-17",{"$f":"(ClosingPrices!B236-ClosingPrices!B237)/ClosingPrices!B237","v":-4.9819494584837382E-3},{"$f":"(ClosingPrices!C236-ClosingPrices!C237)/ClosingPrices!C237","v":-6.4918533604888633E-3},{"$f":"(ClosingPrices!D236-ClosingPrices!D237)/ClosingPrices!D237","v":1.0690269555721508E-2}]
["2017-03-16",{"$f":"(ClosingPrices!B237-ClosingPrices!B238)/ClosingPrices!B238","v":1.6634121646054078E-3},{"$f":"(ClosingPrices!C237-ClosingPrices!C238)/ClosingPrices!C238","v":6.7922593874151114E-3},{"$f":"(ClosingPrices!D237-ClosingPrices!D238)/ClosingPrices!D238","v":-2.9226361031518102E-3}]
["2017-03-15",{"$f":"(ClosingPrices!B238-ClosingPrices!B239)/ClosingPrices!B239","v":1.0524007893005902E-2},{"$f":"(ClosingPrices!C238-ClosingPrices!C239)/ClosingPrices!C239","v":-5.7339449541284762E-3},{"$f":"(ClosingPrices!D238-ClosingPrices!D239)/ClosingPrices!D239","v":-1.1460004584007695E-4}]
["2017-03-14",{"$f":"(ClosingPrices!B239-ClosingPrices!B240)/ClosingPrices!B240","v":-1.4595344085235979E-3},{"$f":"(ClosingPrices!C239-ClosingPrices!C240)/ClosingPrices!C240","v":6.0248686065888842E-3},{"$f":"(ClosingPrices!D239-ClosingPrices!D240)/ClosingPrices!D240","v":-1.7731510610307284E-3}]
["2017-03-13",{"$f":"(ClosingPrices!B240-ClosingPrices!B241)/ClosingPrices!B241","v":4.3805212820327279E-4},{"$f":"(ClosingPrices!C240-ClosingPrices!C241)/ClosingPrices!C241","v":-2.1744691737017358E-3},{"$f":"(ClosingPrices!D240-ClosingPrices!D241)/ClosingPrices!D241","v":1.9485357327067648E-3}]
["2017-03-10",{"$f":"(ClosingPrices!B241-ClosingPrices!B242)/ClosingPrices!B242","v":3.2962203340169104E-3},{"$f":"(ClosingPrices!C241-ClosingPrices!C242)/ClosingPrices!C242","v":1.0243277848913253E-3},{"$f":"(ClosingPrices!D241-ClosingPrices!D242)/ClosingPrices!D242","v":-1.0322727014916868E-2}]
["2017-03-09",{"$f":"(ClosingPrices!B242-ClosingPrices!B243)/ClosingPrices!B243","v":-2.33849751534634E-3},{"$f":"(ClosingPrices!C242-ClosingPrices!C243)/ClosingPrices!C243","v":3.340184994861137E-3},{"$f":"(ClosingPrices!D242-ClosingPrices!D243)/ClosingPrices!D243","v":-6.4803335963034238E-3}]
["2017-03-08",{"$f":"(ClosingPrices!B243-ClosingPrices!B244)/ClosingPrices!B244","v":-3.7131416090279644E-3},{"$f":"(ClosingPrices!C243-ClosingPrices!C244)/ClosingPrices!C244","v":-6.8895126307730549E-3},{"$f":"(ClosingPrices!D243-ClosingPrices!D244)/ClosingPrices!D244","v":-1.5191582737859777E-3}]
["2017-03-07",{"$f":"(ClosingPrices!B244-ClosingPrices!B245)/ClosingPrices!B245","v":1.3122402857768231E-3},{"$f":"(ClosingPrices!C244-ClosingPrices!C245)/ClosingPrices!C245","v":1.021711366538931E-3},{"$f":"(ClosingPrices!D244-ClosingPrices!D245)/ClosingPrices!D245","v":6.0568323332955577E-3}]
["2017-03-06",{"$f":"(ClosingPrices!B245-ClosingPrices!B246)/ClosingPrices!B246","v":-3.1250000000000496E-3},{"$f":"(ClosingPrices!C245-ClosingPrices!C246)/ClosingPrices!C246","v":-4.7031905427736692E-3},{"$f":"(ClosingPrices!D245-ClosingPrices!D246)/ClosingPrices!D246","v":-6.8585563301101805E-3}]
["2017-03-03",{"$f":"(ClosingPrices!B246-ClosingPrices!B247)/ClosingPrices!B247","v":5.8479532163741438E-3},{"$f":"(ClosingPrices!C246-ClosingPrices!C247)/ClosingPrices!C247","v":-2.7886931169983377E-3},{"$f":"(ClosingPrices!D246-ClosingPrices!D247)/ClosingPrices!D247","v":-4.4772778150884898E-3}]
["2017-03-02",{"$f":"(ClosingPrices!B247-ClosingPrices!B248)/ClosingPrices!B248","v":-5.886200130804463E-3},{"$f":"(ClosingPrices!C247-ClosingPrices!C248)/ClosingPrices!C248","v":-2.2186415468517677E-2},{"$f":"(ClosingPrices!D247-ClosingPrices!D248)/ClosingPrices!D248","v":-4.9562844573146202E-3}]
["2017-03-01",{"$f":"(ClosingPrices!B248-ClosingPrices!B249)/ClosingPrices!B249","v":2.0391517128874385E-2},{"$f":"(ClosingPrices!C248-ClosingPrices!C249)/ClosingPrices!C249","v":2.3208623969562622E-2},{"$f":"(ClosingPrices!D248-ClosingPrices!D249)/ClosingPrices!D249","v":2.0400045459711351E-2}]
["2017-02-28",{"$f":"(ClosingPrices!B249-ClosingPrices!B250)/ClosingPrices!B250","v":4.4510385756678242E-4},{"$f":"(ClosingPrices!C249-ClosingPrices!C250)/ClosingPrices!C250","v":-1.3931104356636201E-3},{"$f":"(ClosingPrices!D249-ClosingPrices!D250)/ClosingPrices!D250","v":4.4520547945205548E-3}]
["2017-02-27",{"$f":"(ClosingPrices!B250-ClosingPrices!B251)/ClosingPrices!B251","v":2.0069872890805785E-3},{"$f":"(ClosingPrices!C250-ClosingPrices!C251)/ClosingPrices!C251","v":5.2196053469127516E-3},{"$f":"(ClosingPrices!D250-ClosingPrices!D251)/ClosingPrices!D251","v":1.1197044903613054E-2}]

{"sheet":"SummaryMeasures","index":4,"n_rows":8,"n_cols":4,"rows_kept":8,"cut":false,"hidden":false,"merged":[]}
["Stock","AAPL","AXP","BA"]
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["Stdev",{"$f":"STDEV(AAPL_returns)","v":1.2273827197598459E-2},{"$f":"STDEV(AXP_returns)","v":1.0353000535781132E-2},{"$f":"STDEV(BA_returns)","v":1.3707860852717302E-2}]
[]
["Correlations","AAPL","AXP","BA"]
["AAPL",1]
["AXP",{"$f":"CORREL(AXP_returns,AAPL_returns)","v":0.41260701275782785},1]
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{"sheet":"Model","index":5,"n_rows":19,"n_cols":5,"rows_kept":19,"cut":false,"hidden":false,"merged":[]}
["Portfolio selection model"]
[]
["Stock","AAPL","AXP","BA","Sum"]
["Weights",3.5261598502638237E-4,0,0.99964738401497344,{"$f":"SUM(Weights)","v":0.99999999999999978}]
["Means",{"$f":"AVERAGE(AAPL_returns)","v":1.1188015216252818E-3},{"$f":"AVERAGE(AXP_returns)","v":9.3040393182065547E-4},{"$f":"AVERAGE(BA_returns)","v":2.9877271216014025E-3}]
[]
["Covariances","AAPL","AXP","BA"]
["AAPL",{"$f":"COVAR(AAPL_returns,AAPL_returns)","v":1.5004182671073859E-4},{"$f":"COVAR(AAPL_returns,AXP_returns)","v":5.2219797079319895E-5},{"$f":"COVAR(AAPL_returns,BA_returns)","v":5.0343841515830769E-5}]
["AXP",{"$f":"COVAR(AXP_returns,AAPL_returns)","v":5.2219797079319895E-5},{"$f":"COVAR(AXP_returns,AXP_returns)","v":1.0675415977222231E-4},{"$f":"COVAR(AXP_returns,BA_returns)","v":5.2960795243791914E-5}]
["BA",{"$f":"COVAR(BA_returns,AAPL_returns)","v":5.0343841515830769E-5},{"$f":"COVAR(BA_returns,AXP_returns)","v":5.2960795243791914E-5},{"$f":"COVAR(BA_returns,BA_returns)","v":1.8715080879939743E-4}]
[]
["Constraint on mean return"]
[null,{"$f":"SUMPRODUCT(Weights,Means)","v":2.9870681085600254E-3},">=",2.9877270571887493E-3]
[]
["Portfolio variance"]
[null,{"$f":"MMULT(Weights,MMULT(Covar,TRANSPOSE(Weights)))","v":1.870543575589036E-4}]
[]
["Portfolio standard deviation"]
[null,{"$f":"SQRT(PortfolioVariance)","v":1.3676781695958432E-2}]

{"sheet":"EfficientFrontier","index":6,"n_rows":14,"n_cols":7,"rows_kept":14,"cut":false,"hidden":false,"merged":[]}
["Efficient frontier"]
[null,null,null,null,"Weights for these optimal portfolios"]
[null,"PortStdev","ReqdReturn",null,"AAPL","AXP","BA"]
[null,8.9417008840301463E-3,9.3040394131094217E-4,null,0.28748219275448417,0.50575466290796922,0.20676314433754647]
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[null,8.9417008840301463E-3,1.3418685412034392E-3,null,0.28748219275448417,0.50575466290796922,0.20676314433754647]
[null,8.9865620154254942E-3,1.5476008411496878E-3,null,0.2714045398719257,0.45344911918090125,0.27514634094717288]
[null,9.2173088726733004E-3,1.7533331410959363E-3,null,0.24737602592904231,0.37527725201317524,0.3773467220577823]
[null,9.6307924622495659E-3,1.9590654410421848E-3,null,0.22334751205832704,0.29710538482553328,0.47954710311613957]
[null,1.0204824648660087E-2,2.1647978574037552E-3,null,0.19931898465632841,0.21893347332771279,0.58174754201595857]
[null,1.0914101358013803E-2,2.3705300409346819E-3,null,0.17529048431347377,0.14076165041163669,0.68394786527488927]
[null,1.1734124780903285E-2,2.5762624572962523E-3,null,0.15126195718018826,6.2589738709781295E-2,0.78614830411003023]
[null,1.2645043469269559E-2,2.781994640827179E-3,null,0.11008061598502639,0,0.8899193840149735]
[null,1.3676781695958432E-2,2.9877270571887493E-3,null,3.5261598502638237E-4,0,0.99964738401497344]