Spreadsheet: 757524d1638310179-calculate-3-year-standard-deviation-using-monthly-and-quarterly-returns-on-the-s-and-p-500-sqrt-of-time-rule-2
Sheet: Sheet2

Monthly |  |  |  |  |  | Quarterly |  |  |  |  |  | rand data | example
 |  | #data |  |  |  |  |  | #data |  |  |  |  | -0.0340772594015995
 |  | mean |  |  |  |  |  | mean |  |  |  |  | 0.03421010982090619
 |  | sd |  |  |  |  |  | sd |  |  |  |  | 0.06911641793616531
 |  | annl sd |  |  |  |  |  | annl sd |  |  |  |  | -0.02347926270094686
 |  |  |  |  |  |  |  | %diff sd |  |  |  |  | 0.0642709702116718
 |  |  |  |  |  |  |  |  |  |  |  |  | -0.01546256735596802
 | z | x(z) | [NAME] | data distrib |  |  | z | x(z) | [NAME] | data distrib |  |  | 0.01857361934747753
 | -4 |  |  |  |  |  | -4 |  |  |  |  |  | -0.09932711183036858
 |  |  |  |  |  |  |  |  |  |  |  |  | -0.1427057673975679
 |  |  |  | 0 |  |  |  |  |  | 0 |  |  | -0.004882374496518161
 |  |  |  | 1 |  |  |  |  |  | 0 |  |  | -0.04552306771737008
 |  |  |  | 0 |  |  |  |  |  | 0 |  |  | -0.01731464526644021
 |  |  |  | 2 |  |  |  |  |  | 0 |  |  | -0.008379442477273482
 |  |  |  | 0 |  |  |  |  |  | 1 |  |  | -0.02850667287178518
 |  |  |  | 2 |  |  |  |  |  | 1 |  |  | 0.02306466013227665
 |  |  |  | 3 |  |  |  |  |  | 2 |  |  | 0.08117656340437249
 |  |  |  | 8 |  |  |  |  |  | 1 |  |  | -0.07728069463080381
 |  |  |  | 11 |  |  |  |  |  | 5 |  |  | 0.05394869938363338
 |  |  |  | 18 |  |  |  |  |  | 5 |  |  | -0.03716198850240224
 |  |  |  | 15 |  |  |  |  |  | 9 |  |  | -0.004369373092361379
 |  |  |  | 33 |  |  |  |  |  | 7 |  |  | -0.08200540031943389
 |  |  |  | 36 |  |  |  |  |  | 14 |  |  | 0.04363671261514568
 |  |  |  | 35 |  |  |  |  |  | 10 |  |  | -0.04040196201959195
 |  |  |  | 40 |  |  |  |  |  | 10 |  |  | -0.06253217093354348
 |  |  |  | 30 |  |  |  |  |  | 8 |  |  | 0.05764756830584832
 |  |  |  | 34 |  |  |  |  |  | 12 |  |  | -0.003796936039603682
 |  |  |  | 24 |  |  |  |  |  | 13 |  |  | -0.003722603738557982
 |  |  |  | 18 |  |  |  |  |  | 9 |  |  | 0.03083499950743945
 |  |  |  | 18 |  |  |  |  |  | 4 |  |  | 0.02164469412137736
 |  |  |  | 16 |  |  |  |  |  | 2 |  |  | -0.03659304089518169
 |  |  |  | 7 |  |  |  |  |  | 5 |  |  | 0.08388020659897288
 |  |  |  | 4 |  |  |  |  |  | 1 |  |  | 0.03764082114665966
 |  |  |  | 3 |  |  |  |  |  | 1 |  |  | 0.01069331648331498
 |  |  |  | 2 |  |  |  |  |  | 0 |  |  | -0.04053708404022754
 |  |  |  | 0 |  |  |  |  |  | 0 |  |  | -0.09418504457930735
 |  |  |  | 0 |  |  |  |  |  | 0 |  |  | -0.04343175153044733
 |  |  |  | 0 |  |  |  |  |  | 0 |  |  | -0.01066077307809878
 |  |  |  | 0 |  |  |  |  |  | 0 |  |  | -0.03951663829250462
 | 4 |  |  | 0 |  |  | 4 |  |  | 0 |  |  | 0.02633116883152478
 |  |  |  |  |  |  |  |  |  |  |  |  | 0.002463202741532468
 |  |  |  |  |  |  |  |  |  |  |  |  | -0.004608905431899007
 |  |  |  |  |  |  |  |  |  |  |  |  | -0.03355625837493614
 |  |  |  |  |  |  |  |  |  |  |  |  | 0.002029537929059149
 |  |  |  |  |  |  |  |  |  |  |  |  | 0.08305846181868104
 |  |  |  |  |  |  |  |  |  |  |  |  | -0.006805206261972355
 |  |  |  |  |  |  |  |  |  |  |  |  | 0.02312772723386902
 |  |  |  |  |  |  |  |  |  |  |  |  | -0.01100840171766392
 |  |  |  |  |  |  |  |  |  |  |  |  | 0.04431059603348372
 |  |  |  |  |  |  |  |  |  |  |  |  | 0.02716925041164177
 |  |  |  |  |  |  |  |  |  |  |  |  | -0.03679629089133754
 |  |  |  |  |  |  |  |  |  |  |  |  | -0.02064954324730594
 |  |  |  |  |  |  |  |  |  |  |  |  | -0.06139068966358738
 |  |  |  |  |  |  |  |  |  |  |  |  | 0.03022730202729114
 |  |  |  |  |  |  |  |  |  |  |  |  | -0.01678547890928348
 |  |  |  |  |  |  |  |  |  |  |  |  | -0.09749709114483274
 |  |  |  |  |  |  |  |  |  |  |  |  | 0.07054871904704617
 |  |  |  |  |  |  |  |  |  |  |  |  | -0.03020285077192569
 |  |  |  |  |  |  |  |  |  |  |  |  | -0.02716525987525469
 |  |  |  |  |  |  |  |  |  |  |  |  | 0.01143598232414249
 |  |  |  |  |  |  |  |  |  |  |  |  | 0.05545128363777705
 |  |  |  |  |  |  |  |  |  |  |  |  | -0.05433461617065291
 |  |  |  |  |  |  |  |  |  |  |  |  | 0.006010215948748831
 |  |  |  |  |  |  |  |  |  |  |  |  | -0.04851005762524682
 |  |  |  |  |  |  |  |  |  |  |  |  | 0.01699963022441465
 |  |  |  |  |  |  |  |  |  |  |  |  | 0.02468818482622578
 |  |  |  |  |  |  |  |  |  |  |  |  | -0.02071388401330016
 |  |  |  |  |  |  |  |  |  |  |  |  | -0.01369939889068093
 |  |  |  |  |  |  |  |  |  |  |  |  | 0.08542372939313657
 |  |  |  |  |  |  |  |  |  |  |  |  | -0.03933401685603004
 |  |  |  |  |  |  |  |  |  |  |  |  | -0.05016276800188089
 |  |  |  |  |  |  |  |  |  |  |  |  | 0.00820235784807644
 |  |  |  |  |  |  |  |  |  |  |  |  | 0.02688827694619897
 |  |  |  |  |  |  |  |  |  |  |  |  | -0.0280581729181541
 |  |  |  |  |  |  |  |  |  |  |  |  | 0.001967871749323133
 |  |  |  |  |  |  |  |  |  |  |  |  | -0.0871480572448493
 |  |  |  |  |  |  |  |  |  |  |  |  | 0.06916060648008325
 |  |  |  |  |  |  |  |  |  |  |  |  | -0.09706722126911824
 |  |  |  |  |  |  |  |  |  |  |  |  | 0.03054463089343352
 |  |  |  |  |  |  |  |  |  |  |  |  | 0.06722438478505555
 |  |  |  |  |  |  |  |  |  |  |  |  | 0.008492205808200601
 |  |  |  |  |  |  |  |  |  |  |  |  | -0.0122284757250884
 |  |  |  |  |  |  |  |  |  |  |  |  | -0.04205351618943165
 |  |  |  |  |  |  |  |  |  |  |  |  | 0.05908777937764225
 |  |  |  |  |  |  |  |  |  |  |  |  | -0.01632430526976822
 |  |  |  |  |  |  |  |  |  |  |  |  | 0.02201841215505692
 |  |  |  |  |  |  |  |  |  |  |  |  | -0.01804111754583983
 |  |  |  |  |  |  |  |  |  |  |  |  | 0.1081691343656213
 |  |  |  |  |  |  |  |  |  |  |  |  | -0.02488716991485329
 |  |  |  |  |  |  |  |  |  |  |  |  | -0.02522726866393736
 |  |  |  |  |  |  |  |  |  |  |  |  | 0.07499174508976318
 |  |  |  |  |  |  |  |  |  |  |  |  | -0.06870560626629743
 |  |  |  |  |  |  |  |  |  |  |  |  | -0.06363208718448177
 |  |  |  |  |  |  |  |  |  |  |  |  | -0.01409630364621219
 |  |  |  |  |  |  |  |  |  |  |  |  | -0.009414297731599472
 |  |  |  |  |  |  |  |  |  |  |  |  | 0.06605912523912845
 |  |  |  |  |  |  |  |  |  |  |  |  | 0.008590034169524563
 |  |  |  |  |  |  |  |  |  |  |  |  | -0.04837994290824412
 |  |  |  |  |  |  |  |  |  |  |  |  | 0.01666940185448284
 |  |  |  |  |  |  |  |  |  |  |  |  | -0.05327662365807367
 |  |  |  |  |  |  |  |  |  |  |  |  | 0.04835285920110705
 |  |  |  |  |  |  |  |  |  |  |  |  | 0.01846210035043807
 |  |  |  |  |  |  |  |  |  |  |  |  | 0.06514821311358175
 |  |  |  |  |  |  |  |  |  |  |  |  | -0.01232507797235699
 |  |  |  |  |  |  |  |  |  |  |  |  | 0.03171186192108125
 |  |  |  |  |  |  |  |  |  |  |  |  | -0.00267546370412417
 |  |  |  |  |  |  |  |  |  |  |  |  | -0.02993309468525395
 |  |  |  |  |  |  |  |  |  |  |  |  | 0.03411003030611066
 |  |  |  |  |  |  |  |  |  |  |  |  | 0.04526915437595244
 |  |  |  |  |  |  |  |  |  |  |  |  | 0.04608716932008652
 |  |  |  |  |  |  |  |  |  |  |  |  | -0.002434244617082745
 |  |  |  |  |  |  |  |  |  |  |  |  | -0.01974944940379498
 |  |  |  |  |  |  |  |  |  |  |  |  | -0.02994058846866514
 |  |  |  |  |  |  |  |  |  |  |  |  | 0.01984571614489271
 |  |  |  |  |  |  |  |  |  |  |  |  | 0.01668375778210741
 |  |  |  |  |  |  |  |  |  |  |  |  | 0.03465670990077089
 |  |  |  |  |  |  |  |  |  |  |  |  | 0.01699771065928554
 |  |  |  |  |  |  |  |  |  |  |  |  | -0.02329456959671637
 |  |  |  |  |  |  |  |  |  |  |  |  | -0.06826334676752381
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 |  |  |  |  |  |  |  |  |  |  |  |  | 0.01685862944845295
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 |  |  |  |  |  |  |  |  |  |  |  |  | 0.04248605075122011
 |  |  |  |  |  |  |  |  |  |  |  |  | 0.0604261632072661
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 |  |  |  |  |  |  |  |  |  |  |  |  | 0.06970614391973859
 |  |  |  |  |  |  |  |  |  |  |  |  | 0.01704372471291886
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 |  |  |  |  |  |  |  |  |  |  |  |  | -0.07296627085549096
 |  |  |  |  |  |  |  |  |  |  |  |  | 0.009519417877335108
 |  |  |  |  |  |  |  |  |  |  |  |  | -0.04156537501676442
 |  |  |  |  |  |  |  |  |  |  |  |  | 0.02123230701370229
 |  |  |  |  |  |  |  |  |  |  |  |  | 0.01792603643559071
 |  |  |  |  |  |  |  |  |  |  |  |  | -0.00566450448406852
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 |  |  |  |  |  |  |  |  |  |  |  |  | 0.03245890410700205
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 |  |  |  |  |  |  |  |  |  |  |  |  | 0.04373595975423843
 |  |  |  |  |  |  |  |  |  |  |  |  | -0.01664617051208163
 |  |  |  |  |  |  |  |  |  |  |  |  | -0.09820078389621308
 |  |  |  |  |  |  |  |  |  |  |  |  | 0.03136810998945612
 |  |  |  |  |  |  |  |  |  |  |  |  | -0.01975443211556345
 |  |  |  |  |  |  |  |  |  |  |  |  | -0.08111245633082685
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 |  |  |  |  |  |  |  |  |  |  |  |  | 0.02090745539498237
 |  |  |  |  |  |  |  |  |  |  |  |  | 0.05076859651423085
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 |  |  |  |  |  |  |  |  |  |  |  |  | -0.1420248135829862
 |  |  |  |  |  |  |  |  |  |  |  |  | 0.01736842733399468
 |  |  |  |  |  |  |  |  |  |  |  |  | 0.007327185084062274
 |  |  |  |  |  |  |  |  |  |  |  |  | -0.05839829272727516
 |  |  |  |  |  |  |  |  |  |  |  |  | -0.04057172694966588
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