Question: From November 03, 2019 to September 30, 2020, how many times did a death cross occur between the 60-day and 20-day Weighted Moving Average lines for Ares Management? (Weights are 1, 2, ..., n) 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: WMA_n = \sum_{i=0}^{n-1} (n-i) * P_{t-i} / \sum_{j=1}^{n} j
Data:
date,close
2019-08-12,27.600000381469727
2019-08-13,28.059999465942383
2019-08-14,27.209999084472656
2019-08-15,27.100000381469727
2019-08-16,28.32999992370605
2019-08-19,29.06999969482422
2019-08-20,28.690000534057617
2019-08-21,28.90999984741211
2019-08-22,28.8799991607666
2019-08-23,27.93000030517578
2019-08-26,27.690000534057617
2019-08-27,27.809999465942383
2019-08-28,28.299999237060547
2019-08-29,29.25
2019-08-30,29.100000381469727
2019-09-03,28.3700008392334
2019-09-04,29.299999237060547
2019-09-05,29.82999992370605
2019-09-06,29.90999984741211
2019-09-09,30.01000022888184
2019-09-10,29.1299991607666
2019-09-11,29.82999992370605
2019-09-12,30.399999618530277
2019-09-13,30.100000381469727
2019-09-16,30.450000762939453
2019-09-17,30.700000762939453
2019-09-18,30.850000381469727
2019-09-19,29.40999984741211
2019-09-20,29.36000061035156
2019-09-23,29.63999938964844
2019-09-24,28.65999984741211
2019-09-25,29.799999237060547
2019-09-26,29.75
2019-09-27,27.75
2019-09-30,26.809999465942383
2019-10-01,26.40999984741211
2019-10-02,26.229999542236328
2019-10-03,26.46999931335449
2019-10-04,26.420000076293945
2019-10-07,26.059999465942383
2019-10-08,25.93000030517578
2019-10-09,26.200000762939453
2019-10-10,26.06999969482422
2019-10-11,26.649999618530277
2019-10-14,26.309999465942383
2019-10-15,26.739999771118164
2019-10-16,26.3799991607666
2019-10-17,27.170000076293945
2019-10-18,27.850000381469727
2019-10-21,28.26000022888184
2019-10-22,27.959999084472656
2019-10-23,28.770000457763672
2019-10-24,28.190000534057617
2019-10-25,28.25
2019-10-28,29.299999237060547
2019-10-29,29.670000076293945
2019-10-30,29.729999542236328
2019-10-31,29.56999969482422
2019-11-01,31.3700008392334
2019-11-04,32.72999954223633
2019-11-05,31.770000457763672
2019-11-06,32.0
2019-11-07,32.150001525878906
2019-11-08,31.59000015258789
2019-11-11,31.86000061035156
2019-11-12,31.59000015258789
2019-11-13,31.88999938964844
2019-11-14,31.709999084472656
2019-11-15,31.56999969482422
2019-11-18,32.33000183105469
2019-11-19,32.86000061035156
2019-11-20,33.150001525878906
2019-11-21,32.18000030517578
2019-11-22,32.130001068115234
2019-11-25,32.75
2019-11-26,33.279998779296875
2019-11-27,33.04999923706055
2019-11-29,33.09000015258789
2019-12-02,32.540000915527344
2019-12-03,32.66999816894531
2019-12-04,32.650001525878906
2019-12-05,33.150001525878906
2019-12-06,32.869998931884766
2019-12-09,32.88999938964844
2019-12-10,33.650001525878906
2019-12-11,33.599998474121094
2019-12-12,33.470001220703125
2019-12-13,34.150001525878906
2019-12-16,33.689998626708984
2019-12-17,33.810001373291016
2019-12-18,33.939998626708984
2019-12-19,34.439998626708984
2019-12-20,34.36000061035156
2019-12-23,34.790000915527344
2019-12-24,34.75
2019-12-26,34.790000915527344
2019-12-27,34.83000183105469
2019-12-30,35.7400016784668
2019-12-31,35.689998626708984
2020-01-02,35.540000915527344
2020-01-03,35.2400016784668
2020-01-06,35.59000015258789
2020-01-07,35.439998626708984
2020-01-08,36.11000061035156
2020-01-09,36.41999816894531
2020-01-10,36.209999084472656
2020-01-13,36.31999969482422
2020-01-14,36.0
2020-01-15,35.81999969482422
2020-01-16,36.83000183105469
2020-01-17,37.27999877929688
2020-01-21,36.91999816894531
2020-01-22,37.56999969482422
2020-01-23,37.900001525878906
2020-01-24,37.09999847412109
2020-01-27,35.97999954223633
2020-01-28,36.540000915527344
2020-01-29,37.0099983215332
2020-01-30,36.54999923706055
2020-01-31,36.060001373291016
2020-02-03,37.310001373291016
2020-02-04,38.11000061035156
2020-02-05,38.52999877929688
2020-02-06,38.93999862670898
2020-02-07,38.45000076293945
2020-02-10,39.25
2020-02-11,40.2599983215332
2020-02-12,40.630001068115234
2020-02-13,41.09999847412109
2020-02-14,40.0099983215332
2020-02-18,40.09999847412109
2020-02-19,41.119998931884766
2020-02-20,40.38999938964844
2020-02-21,39.95000076293945
2020-02-24,39.0
2020-02-25,37.2400016784668
2020-02-26,36.790000915527344
2020-02-27,35.40999984741211
2020-02-28,34.59000015258789
2020-03-02,36.5
2020-03-03,35.540000915527344
2020-03-04,36.86000061035156
2020-03-05,35.619998931884766
2020-03-06,33.75
2020-03-09,30.76000022888184
2020-03-10,32.720001220703125
2020-03-11,30.26000022888184
2020-03-12,28.0
2020-03-13,32.040000915527344
2020-03-16,27.40999984741211
2020-03-17,30.3700008392334
2020-03-18,26.899999618530277
2020-03-19,25.600000381469727
2020-03-20,22.90999984741211
2020-03-23,22.709999084472656
2020-03-24,26.88999938964844
2020-03-25,29.059999465942383
2020-03-26,30.440000534057617
2020-03-27,29.709999084472656
2020-03-30,31.3700008392334
2020-03-31,30.93000030517578
2020-04-01,29.93000030517578
2020-04-02,30.13999938964844
2020-04-03,28.84000015258789
2020-04-06,30.799999237060547
2020-04-07,32.11000061035156
2020-04-08,32.41999816894531
2020-04-09,35.150001525878906
2020-04-13,33.400001525878906
2020-04-14,32.380001068115234
2020-04-15,30.790000915527344
2020-04-16,31.93000030517578
2020-04-17,33.20000076293945
2020-04-20,31.56999969482422
2020-04-21,29.940000534057617
2020-04-22,31.020000457763672
2020-04-23,32.560001373291016
2020-04-24,33.689998626708984
2020-04-27,34.97999954223633
2020-04-28,34.93000030517578
2020-04-29,35.09000015258789
2020-04-30,33.54999923706055
2020-05-01,32.66999816894531
2020-05-04,32.040000915527344
2020-05-05,32.5
2020-05-06,35.0
2020-05-07,35.0099983215332
2020-05-08,34.380001068115234
2020-05-11,34.869998931884766
2020-05-12,33.93000030517578
2020-05-13,33.59000015258789
2020-05-14,33.040000915527344
2020-05-15,33.630001068115234
2020-05-18,34.66999816894531
2020-05-19,34.20000076293945
2020-05-20,34.970001220703125
2020-05-21,34.91999816894531
2020-05-22,35.060001373291016
2020-05-26,36.66999816894531
2020-05-27,37.13999938964844
2020-05-28,36.34999847412109
2020-05-29,37.7599983215332
2020-06-01,37.43999862670898
2020-06-02,38.09999847412109
2020-06-03,39.0
2020-06-04,39.5
2020-06-05,39.65999984741211
2020-06-08,40.5
2020-06-09,39.59999847412109
2020-06-10,38.75
2020-06-11,37.33000183105469
2020-06-12,38.27999877929688
2020-06-15,38.130001068115234
2020-06-16,39.18999862670898
2020-06-17,39.0099983215332
2020-06-18,39.29999923706055
2020-06-19,39.02000045776367
2020-06-22,40.11000061035156
2020-06-23,38.83000183105469
2020-06-24,38.119998931884766
2020-06-25,38.970001220703125
2020-06-26,38.7400016784668
2020-06-29,37.77000045776367
2020-06-30,39.70000076293945
2020-07-01,39.52999877929688
2020-07-02,39.36000061035156
2020-07-06,39.36000061035156
2020-07-07,37.900001525878906
2020-07-08,38.77999877929688
2020-07-09,38.77000045776367
2020-07-10,39.40999984741211
2020-07-13,39.04999923706055
2020-07-14,39.72999954223633
2020-07-15,40.400001525878906
2020-07-16,40.33000183105469
2020-07-17,40.59000015258789
2020-07-20,40.84000015258789
2020-07-21,40.970001220703125
2020-07-22,40.77999877929688
2020-07-23,40.4900016784668
2020-07-24,39.040000915527344
2020-07-27,39.4900016784668
2020-07-28,39.52000045776367
2020-07-29,40.459999084472656
2020-07-30,39.83000183105469
2020-07-31,39.93999862670898
2020-08-03,40.7400016784668
2020-08-04,40.40999984741211
2020-08-05,40.560001373291016
2020-08-06,40.27000045776367
2020-08-07,40.810001373291016
2020-08-10,42.06999969482422
2020-08-11,40.369998931884766
2020-08-12,40.02999877929688
2020-08-13,40.150001525878906
2020-08-14,40.0099983215332
2020-08-17,40.380001068115234
2020-08-18,39.77000045776367
2020-08-19,39.9900016784668
2020-08-20,39.84000015258789
2020-08-21,39.75
2020-08-24,39.41999816894531
2020-08-25,39.27000045776367
2020-08-26,40.13999938964844
2020-08-27,40.77999877929688
2020-08-28,40.310001373291016
2020-08-31,40.45000076293945
2020-09-01,40.470001220703125
2020-09-02,40.959999084472656
2020-09-03,39.40999984741211
2020-09-04,39.59000015258789
2020-09-08,38.47999954223633
2020-09-09,39.36000061035156
2020-09-10,39.38999938964844
2020-09-11,39.81999969482422
2020-09-14,40.470001220703125
2020-09-15,40.16999816894531
2020-09-16,40.47999954223633
2020-09-17,39.470001220703125
2020-09-18,39.83000183105469
2020-09-21,38.93000030517578
2020-09-22,39.5099983215332
2020-09-23,39.31999969482422
2020-09-24,38.7599983215332
2020-09-25,39.83000183105469
2020-09-28,40.5099983215332
2020-09-29,40.20000076293945
2020-09-30,40.41999816894531

Indicator data:
date,60-day,20-day
2019-11-04,28.4449070060188,29.0842380069551
2019-11-05,28.55284145021699,29.428523772103446
2019-11-06,28.666038174446815,29.766904731023878
2019-11-07,28.781999975736024,30.091952505565825
2019-11-08,28.87690162137558,30.334714426313127
2019-11-11,28.978202189252677,30.579666864304315
2019-11-12,29.068721320980885,30.772476396106537
2019-11-13,29.167699443837986,30.970762043907527
2019-11-14,29.259027284090635,31.125666709173295
2019-11-15,29.344234926192488,31.245619056338356
2019-11-18,29.45289072547454,31.420238276890345
2019-11-19,29.576519161495355,31.62595261165074
2019-11-20,29.70683068760106,31.83595274062384
2019-11-21,29.802420861082652,31.932714653015136
2019-11-22,29.89425149615345,32.00571473439535
2019-11-25,30.004836193981067,32.11928613753546
2019-11-26,30.130803365655286,32.26690503983271
2019-11-27,30.246546509747947,32.375428753807434
2019-11-29,30.36155197893987,32.471952556428455
2019-12-02,30.456743265370854,32.4993335723877
2019-12-03,30.55475959777832,32.53352385021391
2019-12-04,30.650666751757345,32.56609540666852
2019-12-05,30.76104384979915,32.64209552946545
2019-12-06,30.860426326397338,32.68595254080636
2019-12-09,30.959114829308348,32.72828579857236
2019-12-10,31.081196845424632,32.8368097396124
2019-12-11,31.199890782924296,32.93204767136347
2019-12-12,31.312737817191035,33.0053334917341
2019-12-13,31.44644824898308,33.135857427687874
2019-12-16,31.562486453655637,33.21095250447591
2019-12-17,31.680093055474952,33.28738118126279
2019-12-18,31.799683172715817,33.36914293198358
2019-12-19,31.932781487345043,33.49338088262649
2019-12-20,32.0607213973999,33.6038571312314
2019-12-23,32.20024055209968,33.74490483601888
2019-12-24,32.334601206336515,33.8694762638637
2019-12-26,32.46593456789444,33.98833349318731
2019-12-27,32.59400019932314,34.10380984715053
2019-12-30,32.747202436520105,34.29747665041969
2019-12-31,32.89369965433423,34.4737622033982
2020-01-02,33.030213341426325,34.62076227097284
2020-01-03,33.15171065929809,34.72552430289132
2020-01-06,33.27959590453268,34.85128618876139
2020-01-07,33.39743191974411,34.95114317394438
2020-01-08,33.53211499511218,35.102571778070356
2020-01-09,33.671792525411306,35.26819062005906
2020-01-10,33.79906025037088,35.40061908903576
2020-01-13,33.92475968970627,35.53109523228237
2020-01-14,34.03453564148783,35.6175237928118
2020-01-15,34.13358480734903,35.67799995059059
2020-01-16,34.26139360646732,35.82452392578125
2020-01-17,34.39927334290385,35.99952379862467
2020-01-21,34.52025688463222,36.124333136422294
2020-01-22,34.65809840113739,36.29923785981678
2020-01-23,34.801633967206776,36.490285619099936
2020-01-24,34.91366670014428,36.590333084833055
2020-01-27,34.98471586196149,36.57252351670038
2020-01-28,35.070677637402476,36.60238075256348
2020-01-29,35.16832785163421,36.66885679335821
2020-01-30,35.24683055565006,36.685475794474286
2020-01-31,35.30643715571836,36.651333091372535
2020-02-03,35.40520768921232,36.73376181466239
2020-02-04,35.52718038298393,36.88252380007789
2020-02-05,35.65958471037651,37.05928560892741
2020-02-06,35.801945318420074,37.26038073585147
2020-02-07,35.924224030124684,37.40133321852911
2020-02-10,36.06913113203205,37.60880942571731
2020-02-11,36.24296714073973,37.89799975440616
2020-02-12,36.42436061713214,38.20366654168992
2020-02-13,36.61628952651727,38.53204736255464
2020-02-14,36.767273076375325,38.73147579374768
2020-02-18,36.91701073151469,38.92433282761347
2020-02-19,37.096234741627846,39.20090419224331
2020-02-20,37.24716915068079,39.38795178731282
2020-02-21,37.379191036953955,39.51966618129185
2020-02-24,37.475792133352144,39.55114241100493
2020-02-25,37.5112730662028,39.40595212663923
2020-02-26,37.52983593966792,39.21190461658296
2020-02-27,37.50110915970932,38.88523795718238
2020-02-28,37.44422938445878,38.48809512910389
2020-03-02,37.4488523368627,38.28219037737165
2020-03-03,37.419907012272404,37.982761909848165
2020-03-04,37.43266113156178,37.81747627258301
2020-03-05,37.40273213621046,37.54004761832101
2020-03-06,37.309988968229035,37.098380969819566
2020-03-09,37.11874307517797,36.3966667175293
2020-03-10,36.99333874540902,35.91823827652704
2020-03-11,36.787759518232505,35.236619259062266
2020-03-12,36.509836021798556,34.387381163097565
2020-03-13,36.36773222834686,33.98304792131697
2020-03-16,36.07472675928001,33.180905042375834
2020-03-17,35.88226777165314,32.72066701253255
2020-03-18,35.57798907066304,31.97628599802653
2020-03-19,35.23520766190492,31.17580981481643
2020-03-20,34.809016399696226,30.189571671258836
2020-03-23,34.3827595392863,29.265428697495235
2020-03-24,34.100131104682966,28.81695242382231
2020-03-25,33.8929671542892,28.624428549266998
2020-03-26,33.734202147311855,28.600142878577824
2020-03-27,33.55439884206636,28.529999923706054
2020-03-30,33.43228958317491,28.641190474373953
2020-03-31,33.29803276583145,28.73490477970668
2020-04-01,33.133344255249355,28.755333373660132
2020-04-02,32.97863385664309,28.82876188187372
2020-04-03,32.784196706678046,28.8044761748541
2020-04-06,32.65799449962345,28.990237998962403
2020-04-07,32.57781419493462,29.300571387154715
2020-04-08,32.51003818095056,29.643333117167156
2020-04-09,32.53390162212601,30.235809462411062
2020-04-13,32.500852494161634,30.627571514674596
2020-04-14,32.435683131608805,30.915714472816106
2020-04-15,32.32081431091809,31.02876217251732
2020-04-16,32.24686896631626,31.248381242297945
2020-04-17,32.217289755774324,31.565000352405367
2020-04-20,32.1366558648198,31.690190787542434
2020-04-21,32.006038395824326,31.61890511285691
2020-04-22,31.914743327573348,31.61604799543108
2020-04-23,31.87665047463172,31.740190960112074
2020-04-24,31.877781575103928,31.95528603508359
2020-04-27,31.923021995044145,32.27776215871175
2020-04-28,31.967481019066984,32.57038120996384
2020-04-29,32.01780342664875,32.8612859635126
2020-04-30,32.01884711635569,32.9857144401187
2020-05-01,31.99353011605518,33.00909520103818
2020-05-04,31.9507596542275,32.96042861030215
2020-05-05,31.926841620148206,32.94033335731143
2020-05-06,31.988142165720788,33.150238100687666
2020-05-07,32.05209292948572,33.34733316330683
2020-05-08,32.09825689805661,33.47209515344529
2020-05-11,32.16390167090411,33.647190275646395
2020-05-12,32.202131187980946,33.72576173146566
2020-05-13,32.23253556235892,33.764571271623886
2020-05-14,32.248464550998044,33.73766660236177
2020-05-15,32.288153106397615,33.76166670663016
2020-05-18,32.365633915552024,33.88266653333392
2020-05-19,32.43059022100897,33.94414280482701
2020-05-20,32.523415393516665,34.05866673787435
2020-05-21,32.61584155911305,34.149618948073616
2020-05-22,32.71387985312874,34.24266671680269
2020-05-26,32.86489618332659,34.48252369108654
2020-05-27,33.03018577867518,34.7590950738816
2020-05-28,33.16922397821979,34.94990446908133
2020-05-29,33.35404905934151,35.2689995720273
2020-06-01,33.52789054516235,35.53757089887347
2020-06-02,33.72237683489023,35.846285066150486
2020-06-03,33.94399432302173,36.21185653323219
2020-06-04,34.17750252166081,36.59409466698056
2020-06-05,34.41255169957062,36.97014231000628
2020-06-08,34.67000525427646,37.40404710315523
2020-06-09,34.89111996113928,37.723094613211494
2020-06-10,35.08023471936502,37.9386660802932
2020-06-11,35.216595439181305,37.99604724702381
2020-06-12,35.38030032069305,38.126094781784786
2020-06-15,35.53286866568477,38.21690444946289
2020-06-16,35.71334403408029,38.387237694149924
2020-06-17,35.87902157892946,38.518904240926105
2020-06-18,36.045300247109004,38.655285172235395
2020-06-19,36.19561720676109,38.74438051496233
2020-06-22,36.376229252841306,38.917761575608026
2020-06-23,36.509589972782656,38.94519037519183
2020-06-24,36.614688301086424,38.894714119320824
2020-06-25,36.74396703334454,38.92052379789806
2020-06-26,36.861311353881504,38.91195255461193
2020-06-29,36.942038147306185,38.80633356003534
2020-06-30,37.08187423977044,38.8829526810419
2020-07-01,37.2102020701424,38.935762078421455
2020-07-02,37.32818569850401,38.96985737028576
2020-07-06,37.44220757823173,39.0046193259103
2020-07-07,37.504568284456845,38.90176231747582
2020-07-08,37.594278627406055,38.89509551638648
2020-07-09,37.68072126732498,38.8913812546503
2020-07-10,37.784655690844595,38.94852407546271
2020-07-13,37.872076433734165,38.96147637140183
2020-07-14,37.97790155879787,39.03552393232073
2020-07-15,38.102125656669905,39.16576216561454
2020-07-16,38.2192295449679,39.28357184273856
2020-07-17,38.33918037206097,39.419857533772785
2020-07-20,38.462098412435566,39.573809887114024
2020-07-21,38.58475419341541,39.73147662934803
2020-07-22,38.697202242658435,39.86695265997024
2020-07-23,38.796972791744714,39.965524219331286
2020-07-24,38.846164080093466,39.91471474057152
2020-07-27,38.90795102145503,39.906429145449685
2020-07-28,38.96747562637746,39.89742914835612
2020-07-29,39.05407668775548,39.96961949666341
2020-07-30,39.11542100958486,39.97819106692359
2020-07-31,39.176366318249315,39.995809936523436
2020-08-03,39.26084178236664,40.08685767764137
2020-08-04,39.33136636494287,40.139905239286875
2020-08-05,39.40351394903465,40.19528628758022
2020-08-06,39.463044015436225,40.214571998232884
2020-08-07,39.53681454893018,40.27814351036435
2020-08-10,39.647951146943974,40.45504818870908
2020-08-11,39.69841558946286,40.45566707792736
2020-08-12,39.734049427053314,40.420857384091335
2020-08-13,39.770688818842984,40.39923844110398
2020-08-14,39.799486575100595,40.36514300391788
2020-08-17,39.83766147217464,40.36904783703032
2020-08-18,39.85285274109554,40.31704784574963
2020-08-19,39.872683394802074,40.29171464102609
2020-08-20,39.885781756124864,40.25585746765137
2020-08-21,39.89445388251966,40.21452409653437
2020-08-24,39.89044835241766,40.13838103158133
2020-08-25,39.88061776083024,40.04828582037063
2020-08-26,39.898311723386,40.04223812648228
2020-08-27,39.93587451788897,40.09866656348819
2020-08-28,39.95705488444678,40.10580954778762
2020-08-31,39.98238277122623,40.1245238894508
2020-09-01,40.00793471622988,40.146523993355885
2020-09-02,40.049568557739256,40.21490483965192
2020-09-03,40.03963958239946,40.13376195998419
2020-09-04,40.035251600755366,40.07385720752534
2020-09-08,39.9932351847164,39.91404764084589
2020-09-09,39.9799619726796,39.855142938523066
2020-09-10,39.96700019627973,39.80390477861677
2020-09-11,39.968027500506956,39.796666644868395
2020-09-14,39.98992370647159,39.85290485563732
2020-09-15,40.001344401458574,39.878380857195175
2020-09-16,40.02230066184789,39.93438081287202
2020-09-17,40.00994003796187,39.89080950419108
2020-09-18,40.00903298633346,39.88400016058059
2020-09-21,39.97768326014118,39.791523996988936
2020-09-22,39.96537172077783,39.758190500168574
2020-09-23,39.946409955050775,39.706333323887414
2020-09-24,39.908240494441465,39.600904591878255
2020-09-25,39.905666778647834,39.60395238967169
2020-09-28,39.925224093661285,39.67628555297851
2020-09-29,39.93398914024478,39.71814277285621
2020-09-30,39.94950820005656,39.78214260282971

Answer: 2.0