Question: From July 05, 2023 to May 07, 2024, how many times did a golden cross occur between the 10-day and 5-day Exponential Moving Average lines for American International Group? (Smoothing factor alpha = 2 / (n + 1); Require 4n data points to warm up; Use the first data point as the initial value) Using unadjusted prices, write down the indicator formula, collect the raw data, calculate the answer, and keep four decimal places. Please list the raw data and key calculation process.
Formula: EMA_t = \alpha * P_t + (1 - \alpha) * EMA_{t-1}, \quad \alpha = 2 / (n + 1)
Data:
date,close
2023-05-05,53.790000915527344
2023-05-08,53.75
2023-05-09,53.09999847412109
2023-05-10,52.61000061035156
2023-05-11,52.810001373291016
2023-05-12,52.4900016784668
2023-05-15,52.540000915527344
2023-05-16,52.310001373291016
2023-05-17,53.7400016784668
2023-05-18,54.310001373291016
2023-05-19,53.84999847412109
2023-05-22,53.959999084472656
2023-05-23,55.77000045776367
2023-05-24,54.56999969482422
2023-05-25,53.68000030517578
2023-05-26,54.06999969482422
2023-05-30,54.720001220703125
2023-05-31,52.83000183105469
2023-06-01,53.7400016784668
2023-06-02,55.20000076293945
2023-06-05,54.22999954223633
2023-06-06,55.93000030517578
2023-06-07,56.72999954223633
2023-06-08,56.630001068115234
2023-06-09,56.880001068115234
2023-06-12,56.220001220703125
2023-06-13,56.630001068115234
2023-06-14,55.84000015258789
2023-06-15,56.619998931884766
2023-06-16,57.29999923706055
2023-06-20,56.08000183105469
2023-06-21,56.459999084472656
2023-06-22,55.970001220703125
2023-06-23,55.220001220703125
2023-06-26,55.66999816894531
2023-06-27,56.45000076293945
2023-06-28,56.459999084472656
2023-06-29,57.20000076293945
2023-06-30,57.540000915527344
2023-07-03,57.93999862670898
2023-07-05,57.709999084472656
2023-07-06,57.59999847412109
2023-07-07,58.20000076293945
2023-07-10,58.08000183105469
2023-07-11,58.75
2023-07-12,58.650001525878906
2023-07-13,58.88999938964844
2023-07-14,57.650001525878906
2023-07-17,59.09999847412109
2023-07-18,59.369998931884766
2023-07-19,59.119998931884766
2023-07-20,60.2400016784668
2023-07-21,59.95000076293945
2023-07-24,60.2599983215332
2023-07-25,59.88999938964844
2023-07-26,60.84000015258789
2023-07-27,60.63999938964844
2023-07-28,60.15999984741211
2023-07-31,60.27999877929688
2023-08-01,60.380001068115234
2023-08-02,61.27000045776367
2023-08-03,61.13999938964844
2023-08-04,60.68999862670898
2023-08-07,61.90999984741211
2023-08-08,61.5
2023-08-09,60.34000015258789
2023-08-10,60.41999816894531
2023-08-11,60.52999877929688
2023-08-14,59.81999969482422
2023-08-15,58.77999877929688
2023-08-16,58.61000061035156
2023-08-17,58.060001373291016
2023-08-18,57.95000076293945
2023-08-21,57.790000915527344
2023-08-22,57.34000015258789
2023-08-23,57.619998931884766
2023-08-24,58.09000015258789
2023-08-25,57.84999847412109
2023-08-28,57.869998931884766
2023-08-29,58.34999847412109
2023-08-30,58.34000015258789
2023-08-31,58.52000045776367
2023-09-01,59.2400016784668
2023-09-05,58.59999847412109
2023-09-06,59.18999862670898
2023-09-07,59.650001525878906
2023-09-08,59.65999984741211
2023-09-11,59.68999862670898
2023-09-12,60.56999969482422
2023-09-13,60.650001525878906
2023-09-14,61.20000076293945
2023-09-15,61.18000030517578
2023-09-18,61.68000030517578
2023-09-19,62.36000061035156
2023-09-20,62.31999969482422
2023-09-21,61.33000183105469
2023-09-22,61.58000183105469
2023-09-25,62.130001068115234
2023-09-26,61.2599983215332
2023-09-27,61.0099983215332
2023-09-28,61.27999877929688
2023-09-29,60.59999847412109
2023-10-02,60.04999923706055
2023-10-03,58.63999938964844
2023-10-04,59.36000061035156
2023-10-05,60.150001525878906
2023-10-06,60.869998931884766
2023-10-09,61.09000015258789
2023-10-10,61.16999816894531
2023-10-11,61.52999877929688
2023-10-12,61.13999938964844
2023-10-13,61.09000015258789
2023-10-16,62.61000061035156
2023-10-17,63.18000030517578
2023-10-18,62.59999847412109
2023-10-19,61.16999816894531
2023-10-20,59.52000045776367
2023-10-23,58.97999954223633
2023-10-24,59.869998931884766
2023-10-25,60.959999084472656
2023-10-26,60.84999847412109
2023-10-27,59.52999877929688
2023-10-30,61.0
2023-10-31,61.310001373291016
2023-11-01,62.04999923706055
2023-11-02,64.36000061035156
2023-11-03,63.7400016784668
2023-11-06,63.93999862670898
2023-11-07,63.09999847412109
2023-11-08,62.58000183105469
2023-11-09,62.84999847412109
2023-11-10,63.81999969482422
2023-11-13,63.72999954223633
2023-11-14,64.20999908447266
2023-11-15,63.47999954223633
2023-11-16,64.12000274658203
2023-11-17,64.4800033569336
2023-11-20,64.36000061035156
2023-11-21,64.97000122070312
2023-11-22,64.97000122070312
2023-11-24,65.20999908447266
2023-11-27,65.25
2023-11-28,64.63999938964844
2023-11-29,64.83000183105469
2023-11-30,65.80999755859375
2023-12-01,65.97000122070312
2023-12-04,66.0
2023-12-05,65.9000015258789
2023-12-06,65.37000274658203
2023-12-07,65.41000366210938
2023-12-08,65.52999877929688
2023-12-11,66.18000030517578
2023-12-12,66.94999694824219
2023-12-13,67.2300033569336
2023-12-14,66.48999786376953
2023-12-15,66.01000213623047
2023-12-18,66.45999908447266
2023-12-19,67.44000244140625
2023-12-20,66.62000274658203
2023-12-21,66.56999969482422
2023-12-22,66.93000030517578
2023-12-26,67.12999725341797
2023-12-27,67.1500015258789
2023-12-28,67.87000274658203
2023-12-29,67.75
2024-01-02,68.83999633789062
2024-01-03,68.61000061035156
2024-01-04,68.62999725341797
2024-01-05,69.01000213623047
2024-01-08,68.22000122070312
2024-01-09,67.83000183105469
2024-01-10,67.58999633789062
2024-01-11,67.29000091552734
2024-01-12,67.5
2024-01-16,67.22000122070312
2024-01-17,66.75
2024-01-18,67.23999786376953
2024-01-19,68.83000183105469
2024-01-22,69.26000213623047
2024-01-23,69.0
2024-01-24,69.16000366210938
2024-01-25,68.9800033569336
2024-01-26,69.52999877929688
2024-01-29,69.37000274658203
2024-01-30,70.37999725341797
2024-01-31,69.51000213623047
2024-02-01,68.81999969482422
2024-02-02,69.62999725341797
2024-02-05,68.93000030517578
2024-02-06,68.7699966430664
2024-02-07,69.80999755859375
2024-02-08,68.41000366210938
2024-02-09,69.12000274658203
2024-02-12,69.7300033569336
2024-02-13,70.08999633789062
2024-02-14,69.16999816894531
2024-02-15,70.30000305175781
2024-02-16,70.04000091552734
2024-02-20,68.12999725341797
2024-02-21,68.68000030517578
2024-02-22,70.87999725341797
2024-02-23,71.31999969482422
2024-02-26,71.31999969482422
2024-02-27,71.94999694824219
2024-02-28,72.43000030517578
2024-02-29,72.88999938964844
2024-03-01,72.83999633789062
2024-03-04,73.16999816894531
2024-03-05,73.91999816894531
2024-03-06,74.8499984741211
2024-03-07,74.72000122070312
2024-03-08,74.41000366210938
2024-03-11,74.91000366210938
2024-03-12,75.88999938964844
2024-03-13,75.48999786376953
2024-03-14,75.8499984741211
2024-03-15,76.2699966430664
2024-03-18,75.33999633789062
2024-03-19,75.48999786376953
2024-03-20,76.73999786376953
2024-03-21,77.41000366210938
2024-03-22,76.37999725341797
2024-03-25,76.58999633789062
2024-03-26,77.38999938964844
2024-03-27,78.33999633789062
2024-03-28,78.16999816894531
2024-04-01,77.63999938964844
2024-04-02,78.0199966430664
2024-04-03,77.80000305175781
2024-04-04,76.62000274658203
2024-04-05,77.70999908447266
2024-04-08,77.8499984741211
2024-04-09,75.5199966430664
2024-04-10,75.31999969482422
2024-04-11,74.16999816894531
2024-04-12,73.68000030517578
2024-04-15,73.05000305175781
2024-04-16,73.80999755859375
2024-04-17,72.58000183105469
2024-04-18,72.98999786376953
2024-04-19,74.2300033569336
2024-04-22,74.95999908447266
2024-04-23,74.93000030517578
2024-04-24,74.97000122070312
2024-04-25,74.62999725341797
2024-04-26,74.52999877929688
2024-04-29,75.73999786376953
2024-04-30,75.30999755859375
2024-05-01,75.80999755859375
2024-05-02,78.0999984741211
2024-05-03,78.4800033569336
2024-05-06,79.97000122070312
2024-05-07,80.27999877929688

Indicator data:
date,10-day,5-day
2023-05-18,53.304631020773996,53.432380009768295
2023-05-19,53.403788739564376,53.57158616455256
2023-05-22,53.50491789318406,53.701057137859266
2023-05-23,53.916751086743986,54.39070491116074
2023-05-24,54.03552356094039,54.450469839048566
2023-05-25,53.97088296898319,54.19364666109097
2023-05-26,53.98890419186338,54.152431005668724
2023-05-30,54.12183092437969,54.34162107734686
2023-05-31,53.8869529074115,53.83774799524947
2023-06-01,53.86023450214883,53.80516588965525
2023-06-02,54.10382836774712,54.27011084741665
2023-06-05,54.12676858129061,54.25674041235655
2023-06-06,54.45462889472427,54.81449370996297
2023-06-07,54.86833264881737,55.45299565405409
2023-06-08,55.188635997780615,55.84533079207448
2023-06-09,55.49615691965963,56.19022088408806
2023-06-12,55.62776497439481,56.20014766295975
2023-06-13,55.80998971870761,56.34343213134492
2023-06-14,55.81544616123129,56.17562147175924
2023-06-15,55.96172848316829,56.32374729180109
2023-06-16,56.205050438421424,56.64916460688758
2023-06-20,56.18231432799111,56.459443681609955
2023-06-21,56.232802465533204,56.459628815897524
2023-06-22,56.18502042101865,56.296419617499396
2023-06-23,56.00956238459764,55.93761348523398
2023-06-26,55.94782343629722,55.848408379804425
2023-06-27,56.03912840477763,56.04893917418278
2023-06-28,56.11565034654036,56.18595914427941
2023-06-29,56.31280496770383,56.5239730171661
2023-06-30,56.53593150367175,56.86264898328652
2023-07-03,56.79121643513306,57.22176553109401
2023-07-05,56.95826782592208,57.384510048886895
2023-07-06,57.07494612559462,57.456339523964964
2023-07-07,57.27950151420277,57.70422660362313
2023-07-10,57.42504702635766,57.82948501276699
2023-07-11,57.6659475670199,58.13632334184466
2023-07-12,57.84486646863062,58.30754940318941
2023-07-13,58.034890636088406,58.501699398675754
2023-07-14,57.96491079786849,58.21780010774348
2023-07-17,58.17129037536896,58.511866229869355
2023-07-18,58.38923738564456,58.797910463874494
2023-07-19,58.5221031213246,58.905273286544585
2023-07-20,58.83444831353227,59.350182750518655
2023-07-21,59.037276031606304,59.55012208799226
2023-07-24,59.25958917522938,59.78674749917258
2023-07-25,59.37420921421466,59.821164795997866
2023-07-26,59.640716657555245,60.160776581527884
2023-07-27,59.822404427026726,60.32051751756807
2023-07-28,59.88378541255133,60.26701162751609
2023-07-31,59.95582420650506,60.271340678109695
2023-08-01,60.032947272252365,60.307560808111546
2023-08-02,60.257866033254416,60.628374024662264
2023-08-03,60.418253916235145,60.79891581299099
2023-08-04,60.467662045412204,60.76261008423032
2023-08-07,60.729905282139455,61.14507333862426
2023-08-08,60.86992250356864,61.26338222574951
2023-08-09,60.773572985208496,60.9555882013623
2023-08-10,60.709286654978825,60.777058190556644
2023-08-11,60.676688859400286,60.69470505347006
2023-08-14,60.52092719311373,60.40313660058811
2023-08-15,60.20439475423794,59.862090660157705
2023-08-16,59.91450490989496,59.444727310222326
2023-08-17,59.57732244869424,58.98315199791189
2023-08-18,59.281445778557,58.63876825292108
2023-08-21,59.01027398527887,58.355845807123174
2023-08-22,58.706587833880505,58.01723058894475
2023-08-23,58.50902621533582,57.88482003659142
2023-08-24,58.43283965847256,57.953213408590244
2023-08-25,58.32686853404502,57.918808430433856
2023-08-28,58.24380133365224,57.90253859758416
2023-08-29,58.26310990464657,58.05169188976314
2023-08-30,58.2770899497268,58.147794644038065
2023-08-31,58.32125549664259,58.27186324861327
2023-09-01,58.48830025697426,58.594576058564456
2023-09-05,58.508609023728226,58.596383530416674
2023-09-06,58.632498042452,58.79425522918078
2023-09-07,58.81749867580234,59.07950399474682
2023-09-08,58.970680707004114,59.27300261230192
2023-09-11,59.10146578331408,59.41200128377095
2023-09-12,59.36847194904319,59.79800075412204
2023-09-13,59.60147732664968,60.08200101137434
2023-09-14,59.89211795142963,60.45466759522938
2023-09-15,60.12627837938347,60.69644516521152
2023-09-18,60.40877327498207,61.024296878532944
2023-09-19,60.76354188141288,61.46953145580582
2023-09-20,61.046534211124026,61.75302086881196
2023-09-21,61.09807377838414,61.61201452289288
2023-09-22,61.18569706068787,61.60134362561348
2023-09-25,61.357388698401934,61.77756277311407
2023-09-26,61.33968135715307,61.60504128925379
2023-09-27,61.27973898704036,61.40669363334693
2023-09-28,61.27978622199609,61.364462015330254
2023-09-29,61.156188449655176,61.109640834927205
2023-10-02,60.95506313827433,60.75642696897166
2023-10-03,60.534142456705986,60.05095110919726
2023-10-04,60.320662121005185,59.8206342762487
2023-10-05,60.28963292189131,59.93042335945877
2023-10-06,60.39515401461739,60.2436152169341
2023-10-09,60.521489676066565,60.5257435288187
2023-10-10,60.639400311135425,60.740495075527576
2023-10-11,60.80132730534659,61.003662976784014
2023-10-12,60.86290404794692,61.049108447738824
2023-10-13,60.90419424879073,61.06273901602185
2023-10-16,61.21434085998361,61.57849288079842
2023-10-17,61.57173348638218,62.11232868892421
2023-10-18,61.758690756880156,62.27488528398984
2023-10-19,61.651655740892,61.906589578975
2023-10-20,61.26408205305049,61.111059871904565
2023-10-23,60.848794323811546,60.40070642868182
2023-10-24,60.6708315252794,60.22380392974948
2023-10-25,60.72340744513271,60.46920231465721
2023-10-26,60.74642399585787,60.59613436781184
2023-10-27,60.525255774664956,60.24075583830685
2023-10-30,60.611572906544055,60.4938372255379
2023-10-31,60.738559900498046,60.76589194145561
2023-11-01,60.977003416236684,61.193927706657256
2023-11-02,61.59209381516666,62.24928534122203
2023-11-03,61.98262251758487,62.74619078697029
2023-11-06,62.338509082880165,63.144126733549854
2023-11-07,62.47696169946942,63.12941731374026
2023-11-08,62.495696268848555,62.94627881951174
2023-11-09,62.56011485162537,62.91418537104819
2023-11-10,62.78918482311607,63.216123478973536
2023-11-13,62.96024204477429,63.38741550006114
2023-11-14,63.18747059744672,63.66161002819831
2023-11-15,63.240657678317554,63.601073199544324
2023-11-16,63.40053859982018,63.77404971522357
2023-11-17,63.59680491929534,64.00936759579358
2023-11-20,63.73556777221465,64.12624526731291
2023-11-21,63.96001021739437,64.40749725177632
2023-11-22,64.14364494526868,64.59499857475193
2023-11-24,64.33752751603303,64.79999874465884
2023-11-27,64.50343160402703,64.9499991631059
2023-11-28,64.52826211050365,64.84666590528676
2023-11-29,64.58312387787656,64.84111121387608
2023-11-30,64.80619181982513,65.16407332878197
2023-12-01,65.01779352907567,65.43271595942235
2023-12-04,65.19637652378918,65.6218106396149
2023-12-05,65.32430834235095,65.71454093503624
2023-12-06,65.33261641584751,65.59969487221818
2023-12-07,65.34668682425875,65.53646446884858
2023-12-08,65.38001627062931,65.53430923899802
2023-12-11,65.52546791327411,65.74953959439061
2023-12-12,65.78447319235921,66.14969204567447
2023-12-13,66.04729685864547,66.50979581609418
2023-12-14,66.12778795048621,66.50319649865264
2023-12-15,66.10637234789425,66.33879837784525
2023-12-18,66.17066811818123,66.37919861338773
2023-12-19,66.40145617694941,66.7327998893939
2023-12-20,66.44119191688262,66.69520084178995
2023-12-21,66.464611512872,66.65346712613471
2023-12-22,66.54922765692723,66.74564485248175
2023-12-26,66.65482212901645,66.8737623194605
2023-12-27,66.7448547466278,66.9658420549333
2023-12-28,66.94942711025584,67.26722895214955
2023-12-29,67.09498581748204,67.42815263476638
2024-01-02,67.41226045755633,67.89876720247446
2024-01-03,67.63003139442819,68.13584500510017
2024-01-04,67.81184336878997,68.30056242120611
2024-01-05,68.02969041741551,68.53704232621423
2024-01-08,68.06429238164962,68.43136195771054
2024-01-09,68.02169409972326,68.23090858215859
2024-01-10,67.94320359757187,68.01727116740261
2024-01-11,67.82443947356377,67.77484775011087
2024-01-12,67.76545047837035,67.68323183340725
2024-01-16,67.66627788606722,67.52882162917254
2024-01-17,67.49968190678227,67.26921441944836
2024-01-18,67.4524666262345,67.25947556755543
2024-01-19,67.70292757256544,67.78298432205519
2024-01-22,67.98603203868635,68.27532359344696
2024-01-23,68.17038984983428,68.51688239563131
2024-01-24,68.3503196338843,68.731256151124
2024-01-25,68.46480758352962,68.81417188639386
2024-01-26,68.65847871003275,69.05278085069487
2024-01-29,68.78784671667808,69.15852148265726
2024-01-30,69.07732863244897,69.56568007291084
2024-01-31,69.15599654222741,69.54712076068405
2024-02-01,69.09490620633592,69.30474707206412
2024-02-02,69.19219548762356,69.41316379918207
2024-02-05,69.14452363626941,69.25210930117998
2024-02-06,69.07642781932341,69.0914050818088
2024-02-07,69.20980413555438,69.33093590740378
2024-02-08,69.06438586765529,69.02395849230565
2024-02-09,69.07449802746015,69.05597324373112
2024-02-12,69.19368081463713,69.28064994813195
2024-02-13,69.35664727341049,69.55043207805151
2024-02-14,69.32271107259864,69.42362077501612
2024-02-15,69.50040052335484,69.71574820059669
2024-02-16,69.59850968556802,69.82383243890692
2024-02-20,69.3315074251771,69.2592207104106
2024-02-21,69.21305158517684,69.066147241999
2024-02-22,69.51613261576614,69.670763912472
2024-02-23,69.84410844832215,70.22050917325608
2024-02-26,70.11245231132251,70.58700601377879
2024-02-27,70.446551336217,71.0413363252666
2024-02-28,70.80717842148223,71.50422431856967
2024-02-29,71.185873142967,71.9661493422626
2024-03-01,71.48662281477128,72.25743167413862
2024-03-04,71.79269106098474,72.56162050574085
2024-03-05,72.17947417152301,73.01441306014235
2024-03-06,72.66502404472266,73.62627486480193
2024-03-07,73.03865625853729,73.990850316769
2024-03-08,73.28799215009585,74.13056809854913
2024-03-11,73.5829033340983,74.39037995306921
2024-03-12,74.00237534419833,74.89025309859562
2024-03-13,74.27285216593854,75.09016802032026
2024-03-14,74.55960604015354,75.34344483825387
2024-03-15,74.87058614977406,75.65229543985805
2024-03-18,74.95593345670434,75.54819573920224
2024-03-19,75.05303607617074,75.52879644739134
2024-03-20,75.35975640118869,75.93253025285074
2024-03-21,75.73252863044699,76.42502138927028
2024-03-22,75.85025019825989,76.41001334398618
2024-03-25,75.98474949637456,76.47000767528766
2024-03-26,76.24024947696981,76.77667158007459
2024-03-27,76.62202163350086,77.29777983267994
2024-03-28,76.90347191267257,77.58851927810173
2024-04-01,77.03738599939545,77.60567931528396
2024-04-02,77.2160424800629,77.74378509121145
2024-04-03,77.32221712946198,77.76252441139357
2024-04-04,77.19454178712016,77.38168385645639
2024-04-05,77.2882612957297,77.49112226579516
2024-04-08,77.39039532816449,77.61074766857047
2024-04-09,77.05032283996483,76.91383066006912
2024-04-10,76.73571863175745,76.38255367165416
2024-04-11,76.26922400215524,75.64503517075121
2024-04-12,75.79845605724988,74.99002354889274
2024-04-15,75.29873732897859,74.34335004984777
2024-04-16,75.0280573707268,74.16556588609643
2024-04-17,74.58295636351369,73.63704453441585
2024-04-18,74.29332754537838,73.42136231086708
2024-04-19,74.28181405657023,73.6909093262226
2024-04-22,74.40512042527976,74.11393924563929
2024-04-23,74.5005531307154,74.38595959881812
2024-04-24,74.58590732889499,74.58064013944646
2024-04-25,74.59392367880825,74.5970925107703
2024-04-26,74.58230096980618,74.5747279336125
2024-04-29,74.79279131416315,74.96315124366484
2024-04-30,74.88682881315053,75.07876668197449
2024-05-01,75.05467767595839,75.32251030751425
2024-05-02,75.60837236653342,76.2483396963832
2024-05-03,76.13048709206072,76.99222758323333
2024-05-06,76.8285805699957,77.98481879572327
2024-05-07,77.45611115350499,78.7498787902478

Answer: 10.0