Question: How many times did the price break above the 20-day Weighted Moving Average line for Global Payments from August 15, 2022 to July 31, 2023? (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,open,low,high
2022-07-19,118.2699966430664,116.0,115.63999938964844,118.52999877929688
2022-07-20,119.87000274658205,118.11000061035156,117.44000244140624,119.98999786376952
2022-07-21,120.2699966430664,119.56999969482422,118.70999908447266,120.93000030517578
2022-07-22,118.70999908447266,119.3499984741211,118.0199966430664,121.6500015258789
2022-07-25,118.47000122070312,119.88999938964844,117.69000244140624,119.88999938964844
2022-07-26,119.81999969482422,119.06999969482422,118.11000061035156,121.9499969482422
2022-07-27,120.31999969482422,121.33999633789062,119.27999877929688,122.48999786376952
2022-07-28,122.51000213623048,120.7300033569336,119.95999908447266,123.01000213623048
2022-07-29,122.31999969482422,122.36000061035156,121.19000244140624,123.36000061035156
2022-08-01,127.9800033569336,123.51000213623048,121.04000091552734,131.47999572753906
2022-08-02,126.4499969482422,126.72000122070312,124.5,127.87000274658205
2022-08-03,130.14999389648438,127.70999908447266,127.08000183105467,131.30999755859375
2022-08-04,128.60000610351562,129.60000610351562,127.73999786376952,131.39999389648438
2022-08-05,128.0,126.66000366210938,126.25,129.85000610351562
2022-08-08,129.3300018310547,129.16000366210938,128.6999969482422,131.0500030517578
2022-08-09,130.3800048828125,128.86000061035156,128.8300018310547,131.1300048828125
2022-08-10,132.60000610351562,133.9600067138672,132.5500030517578,136.17999267578125
2022-08-11,133.5500030517578,134.38999938964844,132.75999450683594,134.8800048828125
2022-08-12,135.44000244140625,134.39999389648438,134.27999877929688,135.99000549316406
2022-08-15,136.22999572753906,133.82000732421875,133.82000732421875,136.77999877929688
2022-08-16,136.14999389648438,135.0,133.27000427246094,136.8800048828125
2022-08-17,133.67999267578125,133.75999450683594,133.22999572753906,134.9199981689453
2022-08-18,134.24000549316406,133.3800048828125,132.66000366210938,134.60000610351562
2022-08-19,132.80999755859375,133.36000061035156,132.10000610351562,134.02000427246094
2022-08-22,129.9600067138672,130.52000427246094,129.47999572753906,131.7899932861328
2022-08-23,128.74000549316406,129.32000732421875,128.63999938964844,131.0800018310547
2022-08-24,128.0,129.02999877929688,127.56999969482422,129.44000244140625
2022-08-25,129.8699951171875,128.1199951171875,127.4499969482422,129.9600067138672
2022-08-26,125.12999725341795,130.11000061035156,124.98999786376952,130.39999389648438
2022-08-29,124.81999969482422,123.80999755859376,123.25,126.41000366210938
2022-08-30,124.6999969482422,125.56999969482422,123.83000183105467,126.13999938964844
2022-08-31,124.2300033569336,125.72000122070312,124.02999877929688,126.13999938964844
2022-09-01,124.8499984741211,123.66999816894533,121.4499969482422,124.9000015258789
2022-09-02,124.0500030517578,126.33999633789062,123.31999969482422,127.06999969482422
2022-09-06,126.33000183105467,125.1500015258789,123.18000030517578,126.41999816894533
2022-09-07,129.74000549316406,126.2300033569336,126.22000122070312,130.38999938964844
2022-09-08,131.72999572753906,128.94000244140625,128.35000610351562,132.16000366210938
2022-09-09,132.6300048828125,132.9499969482422,131.07000732421875,133.24000549316406
2022-09-12,136.4600067138672,133.64999389648438,133.1699981689453,136.63999938964844
2022-09-13,132.1699981689453,132.3699951171875,131.63999938964844,134.05999755859375
2022-09-14,132.4600067138672,131.9199981689453,131.4600067138672,135.58999633789062
2022-09-15,131.42999267578125,131.66000366210938,130.75999450683594,135.38999938964844
2022-09-16,130.67999267578125,129.61000061035156,127.95999908447266,131.0500030517578
2022-09-19,126.97000122070312,129.30999755859375,125.7699966430664,130.0399932861328
2022-09-20,124.16000366210938,125.61000061035156,123.1999969482422,126.4000015258789
2022-09-21,120.7300033569336,125.2300033569336,120.61000061035156,125.97000122070312
2022-09-22,116.08999633789062,120.12999725341795,115.13999938964844,120.8499984741211
2022-09-23,115.04000091552734,114.47000122070312,111.87000274658205,115.12999725341795
2022-09-26,111.80999755859376,114.68000030517578,111.29000091552734,116.1500015258789
2022-09-27,107.98999786376952,112.69000244140624,107.5199966430664,113.1500015258789
2022-09-28,110.7300033569336,107.77999877929688,107.16000366210938,111.16999816894533
2022-09-29,109.54000091552734,109.4800033569336,107.02999877929688,110.5
2022-09-30,108.0500030517578,109.22000122070312,107.97000122070312,111.18000030517578
2022-10-03,110.73999786376952,109.37000274658205,108.2699966430664,111.20999908447266
2022-10-04,116.1500015258789,113.1500015258789,112.54000091552734,116.33999633789062
2022-10-05,117.20999908447266,114.18000030517578,114.12999725341795,117.79000091552734
2022-10-06,113.3000030517578,116.7699966430664,113.1999969482422,116.87999725341795
2022-10-07,112.23999786376952,111.7699966430664,110.37999725341795,112.41999816894533
2022-10-10,109.75,112.19000244140624,108.44000244140624,112.4000015258789
2022-10-11,107.80999755859376,109.23999786376952,105.93000030517578,109.36000061035156
2022-10-12,107.18000030517578,107.73999786376952,106.37000274658205,108.30999755859376
2022-10-13,109.98999786376952,104.58000183105467,104.2300033569336,110.56999969482422
2022-10-14,110.05999755859376,111.7699966430664,109.8000030517578,113.58999633789062
2022-10-17,112.88999938964844,112.7300033569336,112.44000244140624,114.04000091552734
2022-10-18,113.66999816894533,115.0,112.4499969482422,115.4800033569336
2022-10-19,112.66999816894533,112.0,111.80999755859376,114.25
2022-10-20,112.77999877929688,112.9800033569336,112.29000091552734,115.25
2022-10-21,114.25,112.45999908447266,110.83000183105467,114.5999984741211
2022-10-24,115.66000366210938,114.81999969482422,113.3499984741211,116.3499984741211
2022-10-25,118.18000030517578,115.97000122070312,115.88999938964844,118.5199966430664
2022-10-26,120.61000061035156,119.29000091552734,119.08999633789062,123.9000015258789
2022-10-27,121.87000274658205,120.6500015258789,119.1500015258789,121.9000015258789
2022-10-28,125.30999755859376,122.41000366210938,121.87999725341795,125.58999633789062
2022-10-31,114.26000213623048,124.0,113.63999938964844,124.16000366210938
2022-11-01,113.66999816894533,115.06999969482422,113.12000274658205,116.12999725341795
2022-11-02,107.58000183105467,113.25,107.5,113.6999969482422
2022-11-03,94.33999633789062,104.16999816894533,93.98999786376952,104.3000030517578
2022-11-04,97.4499969482422,95.5,94.04000091552734,97.87999725341795
2022-11-07,99.13999938964844,98.38999938964844,95.4499969482422,99.1999969482422
2022-11-08,99.94000244140624,100.0199966430664,99.02999877929688,101.97000122070312
2022-11-09,96.83000183105467,99.02999877929688,96.23999786376952,99.0500030517578
2022-11-10,102.88999938964844,101.97000122070312,101.11000061035156,104.12999725341795
2022-11-11,104.37999725341795,102.62999725341795,102.05999755859376,105.2300033569336
2022-11-14,103.2300033569336,102.08000183105467,102.08000183105467,104.73999786376952
2022-11-15,102.27999877929688,105.5199966430664,101.11000061035156,106.0199966430664
2022-11-16,99.31999969482422,101.86000061035156,99.06999969482422,101.91000366210938
2022-11-17,97.66000366210938,97.3000030517578,96.41000366210938,97.83999633789062
2022-11-18,98.01000213623048,100.0,97.05999755859376,101.87999725341795
2022-11-21,96.11000061035156,97.56999969482422,94.68000030517578,97.76000213623048
2022-11-22,99.18000030517578,96.52999877929688,95.6500015258789,99.55999755859376
2022-11-23,100.16999816894533,98.4000015258789,98.36000061035156,101.13999938964844
2022-11-25,101.6999969482422,100.29000091552734,100.2300033569336,102.41999816894533
2022-11-28,99.7699966430664,100.31999969482422,99.4499969482422,101.55999755859376
2022-11-29,99.83000183105467,99.79000091552734,98.63999938964844,100.5999984741211
2022-11-30,103.77999877929688,99.19000244140624,98.68000030517578,104.52999877929688
2022-12-01,103.52999877929688,103.73999786376952,103.08000183105467,105.33999633789062
2022-12-02,103.08000183105467,101.88999938964844,101.41000366210938,103.41000366210938
2022-12-05,101.43000030517578,101.81999969482422,100.80999755859376,102.83000183105467
2022-12-06,97.6500015258789,101.30999755859376,96.83000183105467,101.44000244140624
2022-12-07,98.83999633789062,97.93000030517578,96.1999969482422,98.87999725341795
2022-12-08,98.93000030517578,99.75,98.29000091552734,101.0500030517578
2022-12-09,97.81999969482422,97.83999633789062,97.3499984741211,98.95999908447266
2022-12-12,99.63999938964844,98.05999755859376,97.58999633789062,99.9499969482422
2022-12-13,99.4499969482422,103.43000030517578,98.91000366210938,103.6500015258789
2022-12-14,97.7300033569336,99.33999633789062,96.2699966430664,100.13999938964844
2022-12-15,94.93000030517578,96.86000061035156,94.47000122070312,97.51000213623048
2022-12-16,94.77999877929688,94.0999984741211,92.75,95.4800033569336
2022-12-19,93.12999725341795,94.2699966430664,92.2699966430664,94.52999877929688
2022-12-20,94.0,92.3499984741211,92.31999969482422,94.2699966430664
2022-12-21,95.79000091552734,94.77999877929688,94.45999908447266,96.4000015258789
2022-12-22,94.5500030517578,94.6500015258789,92.52999877929688,95.16000366210938
2022-12-23,96.72000122070312,94.26000213623048,94.05999755859376,97.02999877929688
2022-12-27,97.68000030517578,96.5,96.3499984741211,98.01000213623048
2022-12-28,96.37000274658205,97.87000274658205,96.05999755859376,98.75
2022-12-29,99.1999969482422,97.13999938964844,96.72000122070312,99.83999633789062
2022-12-30,99.31999969482422,98.08000183105467,97.72000122070312,99.3499984741211
2023-01-03,100.1999969482422,100.70999908447266,99.02999877929688,102.02999877929688
2023-01-04,103.4800033569336,101.37999725341795,101.0,103.9800033569336
2023-01-05,101.9800033569336,102.52999877929688,101.0,102.94000244140624
2023-01-06,105.16999816894533,103.47000122070312,102.97000122070312,106.0
2023-01-09,106.45999908447266,105.20999908447266,104.97000122070312,107.61000061035156
2023-01-10,105.30999755859376,106.41999816894533,104.69000244140624,106.95999908447266
2023-01-11,105.5999984741211,105.8499984741211,104.63999938964844,106.3000030517578
2023-01-12,108.3499984741211,105.93000030517578,105.77999877929688,108.4000015258789
2023-01-13,107.66000366210938,107.25,106.33000183105467,108.41999816894533
2023-01-17,111.45999908447266,110.76000213623048,108.6999969482422,111.95999908447266
2023-01-18,109.20999908447266,112.55999755859376,109.18000030517578,113.44000244140624
2023-01-19,108.63999938964844,107.54000091552734,107.08000183105467,109.36000061035156
2023-01-20,111.94000244140624,109.22000122070312,108.4499969482422,112.12000274658205
2023-01-23,113.43000030517578,112.18000030517578,111.16000366210938,114.20999908447266
2023-01-24,112.29000091552734,113.4499969482422,111.9800033569336,114.7300033569336
2023-01-25,111.68000030517578,110.3499984741211,108.8000030517578,111.91999816894533
2023-01-26,112.5199966430664,112.8000030517578,111.0199966430664,113.16999816894533
2023-01-27,112.70999908447266,112.31999969482422,111.52999877929688,113.33999633789062
2023-01-30,110.29000091552734,111.48999786376952,110.11000061035156,111.94000244140624
2023-01-31,112.72000122070312,110.12000274658205,109.95999908447266,112.81999969482422
2023-02-01,115.4800033569336,112.63999938964844,112.08000183105467,116.25
2023-02-02,116.1500015258789,117.1500015258789,115.7300033569336,119.12000274658205
2023-02-03,113.05999755859376,113.61000061035156,112.27999877929688,114.47000122070312
2023-02-06,111.16999816894533,111.63999938964844,110.87000274658205,112.79000091552734
2023-02-07,114.2699966430664,110.81999969482422,110.6500015258789,114.63999938964844
2023-02-08,111.62999725341795,113.62000274658205,111.22000122070312,114.11000061035156
2023-02-09,111.63999938964844,113.30999755859376,111.56999969482422,114.9499969482422
2023-02-10,117.87999725341795,113.70999908447266,113.01000213623048,118.7699966430664
2023-02-13,114.77999877929688,116.86000061035156,113.58999633789062,117.0
2023-02-14,116.18000030517578,114.0500030517578,113.19000244140624,118.19000244140624
2023-02-15,117.95999908447266,114.7699966430664,114.7699966430664,118.9000015258789
2023-02-16,117.3499984741211,115.9499969482422,115.5199966430664,118.4499969482422
2023-02-17,116.30999755859376,116.55999755859376,114.76000213623048,116.98999786376952
2023-02-21,113.12000274658205,114.93000030517578,112.9000015258789,115.1999969482422
2023-02-22,113.94000244140624,113.43000030517578,113.08999633789062,114.37999725341795
2023-02-23,113.75,114.86000061035156,112.6500015258789,115.43000030517578
2023-02-24,112.20999908447266,111.72000122070312,110.9499969482422,112.41000366210938
2023-02-27,113.54000091552734,113.33999633789062,112.41000366210938,114.26000213623048
2023-02-28,112.1999969482422,113.48999786376952,112.08999633789062,113.91000366210938
2023-03-01,111.68000030517578,111.58000183105467,109.9499969482422,112.16000366210938
2023-03-02,110.72000122070312,111.2699966430664,110.0,111.79000091552734
2023-03-03,112.8000030517578,111.38999938964844,111.0199966430664,112.97000122070312
2023-03-06,112.61000061035156,112.95999908447266,112.52999877929688,114.44000244140624
2023-03-07,108.81999969482422,112.30999755859376,108.81999969482422,112.79000091552734
2023-03-08,108.91000366210938,108.70999908447266,107.7699966430664,109.56999969482422
2023-03-09,105.20999908447266,109.44000244140624,105.0,109.44000244140624
2023-03-10,100.0,104.29000091552734,99.5999984741211,104.6999969482422
2023-03-13,95.9800033569336,98.23999786376952,94.0500030517578,98.73999786376952
2023-03-14,101.1999969482422,99.4000015258789,99.16999816894533,101.73999786376952
2023-03-15,99.4800033569336,97.26000213623048,95.6500015258789,99.52999877929688
2023-03-16,100.91999816894533,98.37000274658205,96.56999969482422,101.18000030517578
2023-03-17,98.5500030517578,100.88999938964844,97.9499969482422,100.88999938964844
2023-03-20,99.83000183105467,99.19000244140624,98.7300033569336,100.98999786376952
2023-03-21,102.4499969482422,102.12999725341795,100.8000030517578,103.41999816894533
2023-03-22,98.91999816894533,102.02999877929688,98.88999938964844,102.66000366210938
2023-03-23,98.44000244140624,98.9499969482422,97.1999969482422,100.91999816894533
2023-03-24,98.43000030517578,97.0,95.77999877929688,98.62999725341795
2023-03-27,99.1500015258789,100.29000091552734,98.69000244140624,101.72000122070312
2023-03-28,99.58000183105467,98.7699966430664,98.29000091552734,99.87999725341795
2023-03-29,103.33000183105467,101.4000015258789,100.87999725341795,103.5500030517578
2023-03-30,103.19000244140624,104.9800033569336,103.0500030517578,105.81999969482422
2023-03-31,105.23999786376952,103.48999786376952,103.48999786376952,105.47000122070312
2023-04-03,105.25,105.08999633789062,104.4800033569336,105.62000274658205
2023-04-04,103.30999755859376,105.9800033569336,103.02999877929688,106.08999633789062
2023-04-05,103.93000030517578,102.4000015258789,102.2300033569336,104.55999755859376
2023-04-06,105.0999984741211,103.5199966430664,103.05999755859376,105.41000366210938
2023-04-10,104.8000030517578,104.36000061035156,103.05999755859376,105.23999786376952
2023-04-11,105.86000061035156,105.4000015258789,104.75,106.76000213623048
2023-04-12,105.20999908447266,108.19000244140624,104.98999786376952,108.52999877929688
2023-04-13,106.95999908447266,105.20999908447266,105.1999969482422,107.80999755859376
2023-04-14,107.55999755859376,107.37000274658205,106.87000274658205,108.48999786376952
2023-04-17,109.75,107.47000122070312,107.16999816894533,109.80999755859376
2023-04-18,109.08999633789062,108.86000061035156,107.8000030517578,109.72000122070312
2023-04-19,109.98999786376952,110.45999908447266,108.5500030517578,110.61000061035156
2023-04-20,109.0999984741211,109.33999633789062,108.33000183105467,109.70999908447266
2023-04-21,108.88999938964844,109.4499969482422,108.66999816894533,109.95999908447266
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2023-04-28,112.70999908447266,109.94000244140624,109.23999786376952,113.0999984741211
2023-05-01,103.0,108.4800033569336,102.55999755859376,109.44000244140624
2023-05-02,100.72000122070312,103.0,97.3499984741211,104.0
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2023-05-05,104.77999877929688,103.0,102.81999969482422,104.87000274658205
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2023-05-11,103.52999877929688,102.9499969482422,101.37999725341795,103.87999725341795
2023-05-12,102.5999984741211,103.98999786376952,101.95999908447266,104.0
2023-05-15,103.0500030517578,102.55999755859376,102.4000015258789,103.6500015258789
2023-05-16,100.51000213623048,102.48999786376952,100.27999877929688,102.66000366210938
2023-05-17,103.77999877929688,100.75,100.72000122070312,104.52999877929688
2023-05-18,104.06999969482422,103.4800033569336,102.47000122070312,104.33999633789062
2023-05-19,101.95999908447266,104.54000091552734,101.88999938964844,104.5999984741211
2023-05-22,103.66000366210938,101.94000244140624,101.06999969482422,104.5500030517578
2023-05-23,101.8000030517578,103.13999938964844,101.69000244140624,104.62999725341795
2023-05-24,98.98999786376952,100.7699966430664,98.77999877929688,101.01000213623048
2023-05-25,99.51000213623048,98.51000213623048,97.5500030517578,99.83999633789062
2023-05-26,99.97000122070312,100.0,99.19000244140624,100.58000183105467
2023-05-30,99.12999725341795,99.9499969482422,96.73999786376952,100.3499984741211
2023-05-31,97.69000244140624,98.73999786376952,95.77999877929688,98.73999786376952
2023-06-01,98.83999633789062,98.20999908447266,97.38999938964844,99.5500030517578
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2023-06-13,100.61000061035156,100.30999755859376,99.55999755859376,101.75
2023-06-14,101.16000366210938,101.13999938964844,100.76000213623048,102.81999969482422
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2023-07-03,102.16000366210938,100.79000091552734,99.79000091552734,102.48999786376952
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2023-07-10,106.23999786376952,106.05999755859376,105.66000366210938,106.95999908447266
2023-07-11,108.33000183105467,106.5999984741211,106.16000366210938,108.38999938964844
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2023-07-31,110.25,109.51000213623048,109.01000213623048,110.56999969482422

Indicator data:
date,20-day,close
2022-08-15,129.0789058866955,136.22999572753906
2022-08-16,130.04904810587564,136.14999389648438
2022-08-17,130.69880926949637,133.67999267578125
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2022-08-25,131.55785758608863,129.8699951171875
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2022-09-15,129.64685807001024,131.42999267578125
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2022-11-01,115.60080936976841,113.66999816894533
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2023-01-03,97.17199979509626,100.1999969482422
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2023-06-06,100.40609515962147,100.81999969482422
2023-06-07,100.45047643752325,101.91000366210938
2023-06-08,100.41871475946336,100.87000274658205
2023-06-09,100.32642865862165,100.08999633789062
2023-06-12,100.3086188180106,100.6999969482422
2023-06-13,100.29128552391415,100.61000061035156
2023-06-14,100.33795253208706,101.16000366210938
2023-06-15,100.4567617507208,101.9499969482422
2023-06-16,100.46333320254371,100.68000030517578
2023-06-20,100.52033328101749,101.04000091552734
2023-06-21,100.45028599330357,99.66000366210938
2023-06-22,100.39547671363468,99.62000274658205
2023-06-23,100.27676206316266,98.83999633789062
2023-06-26,99.93780935378302,96.5199966430664
2023-06-27,99.55404761178153,95.9000015258789
2023-06-28,99.29823819115049,97.04000091552734
2023-06-29,99.04571449643089,96.97000122070312
2023-06-30,98.9442379906064,98.5199966430664
2023-07-03,99.19095262799944,102.16000366210938
2023-07-05,99.6768575759161,104.76000213623048
2023-07-06,100.17866726829892,105.26000213623048
2023-07-07,100.71552421933129,105.8499984741211
2023-07-10,101.2707620893206,106.23999786376952
2023-07-11,101.99947655087425,108.33000183105467
2023-07-12,102.74133340744746,108.87999725341795
2023-07-13,103.77280974615188,112.33000183105467
2023-07-14,104.71323819841658,111.95999908447266
2023-07-17,105.6346194312686,112.3000030517578
2023-07-18,106.63623878842309,113.66000366210938
2023-07-19,107.50081042335147,112.87000274658205
2023-07-20,108.23381053379603,112.08000183105467
2023-07-21,108.75623884655181,110.48999786376952
2023-07-24,109.41833405267624,112.5
2023-07-25,109.92585758027576,111.55999755859376
2023-07-26,110.33985770089286,111.33000183105467
2023-07-27,110.35561937604632,107.91999816894533
2023-07-28,110.4119526091076,108.88999938964844
2023-07-31,110.54104781377883,110.25

Answer: 17.0