Question: What is the percentage of days with long alignment for the 5, 20, 60-day Weighted Moving Average lines for Travelers Companies (The) from January 21, 2025 to June 13, 2025? (Unit: %) (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
2024-10-23,257.3500061035156,258.8500061035156,254.41000366210935,258.8800048828125
2024-10-24,256.4200134277344,260.0,255.2899932861328,260.1499938964844
2024-10-25,250.5,257.3099975585937,250.44000244140625,257.3999938964844
2024-10-28,252.3699951171875,253.75999450683597,252.1499938964844,254.52999877929688
2024-10-29,248.6699981689453,251.3000030517578,248.52999877929688,252.75999450683597
2024-10-30,250.08999633789065,249.8999938964844,248.6699981689453,251.6100006103516
2024-10-31,245.94000244140625,248.5200042724609,245.7400054931641,250.44000244140625
2024-11-01,245.63999938964844,246.5800018310547,245.25999450683597,248.97000122070312
2024-11-04,242.80999755859372,245.17999267578125,241.8699951171875,245.8800048828125
2024-11-05,244.83999633789065,245.08999633789065,242.5800018310547,245.08999633789065
2024-11-06,253.9499969482422,257.9700012207031,251.32000732421875,257.9700012207031
2024-11-07,252.27999877929688,252.82000732421875,250.44000244140625,254.19000244140625
2024-11-08,256.8900146484375,254.32000732421875,252.9900054931641,256.95001220703125
2024-11-11,258.3599853515625,257.6700134277344,257.42999267578125,260.04998779296875
2024-11-12,257.989990234375,257.25,256.9800109863281,259.9599914550781
2024-11-13,256.6700134277344,256.6199951171875,256.25,258.760009765625
2024-11-14,256.5199890136719,256.44000244140625,255.08999633789065,258.0
2024-11-15,260.82000732421875,257.0,257.0,261.1300048828125
2024-11-18,262.69000244140625,259.760009765625,259.44000244140625,262.9599914550781
2024-11-19,259.2699890136719,259.67999267578125,257.7799987792969,260.92999267578125
2024-11-20,257.19000244140625,259.5,254.47000122070312,259.5799865722656
2024-11-21,260.8099975585937,257.19000244140625,255.08999633789065,262.1499938964844
2024-11-22,262.4700012207031,260.57000732421875,259.7200012207031,262.8599853515625
2024-11-25,261.2200012207031,263.6000061035156,260.7099914550781,266.1600036621094
2024-11-26,263.7699890136719,262.70001220703125,260.07000732421875,264.1199951171875
2024-11-27,266.6600036621094,264.8099975585937,264.8099975585937,268.3099975585937
2024-11-29,266.0400085449219,269.0,266.0400085449219,269.04998779296875
2024-12-02,263.510009765625,267.2099914550781,263.3500061035156,267.239990234375
2024-12-03,260.5899963378906,263.1499938964844,260.4200134277344,264.9100036621094
2024-12-04,261.7799987792969,259.7799987792969,259.0799865722656,262.2300109863281
2024-12-05,263.260009765625,262.9800109863281,261.9200134277344,265.6000061035156
2024-12-06,261.1499938964844,262.8800048828125,258.67999267578125,263.6700134277344
2024-12-09,251.9199981689453,261.3500061035156,251.47000122070312,261.6300048828125
2024-12-10,247.6499938964844,251.9199981689453,246.22000122070312,252.9900054931641
2024-12-11,245.13999938964844,245.0200042724609,241.8000030517578,246.57000732421875
2024-12-12,243.8800048828125,245.8500061035156,243.2100067138672,247.1499938964844
2024-12-13,246.3000030517578,246.52999877929688,245.55999755859372,248.22000122070312
2024-12-16,246.2700042724609,247.5,245.97999572753903,248.8600006103516
2024-12-17,243.63999938964844,244.44000244140625,241.97999572753903,245.1199951171875
2024-12-18,236.02999877929688,242.57000732421875,235.4499969482422,244.97000122070312
2024-12-19,237.7100067138672,237.52999877929688,236.25999450683597,239.8000030517578
2024-12-20,240.75999450683597,234.52999877929688,234.1699981689453,242.5500030517578
2024-12-23,241.3600006103516,238.69000244140625,237.97999572753903,241.7700042724609
2024-12-24,242.8800048828125,241.82000732421875,240.3800048828125,243.1000061035156
2024-12-26,243.72999572753903,241.9900054931641,240.75999450683597,243.94000244140625
2024-12-27,241.41000366210935,241.1199951171875,240.57000732421875,244.2400054931641
2024-12-30,239.8699951171875,239.8800048828125,237.6100006103516,241.1699981689453
2024-12-31,240.88999938964844,240.4199981689453,238.82000732421875,241.75
2025-01-02,240.88999938964844,242.22999572753903,240.00999450683597,242.7100067138672
2025-01-03,242.2899932861328,242.4199981689453,240.1199951171875,243.0800018310547
2025-01-06,241.8800048828125,241.82000732421875,240.80999755859372,246.0800018310547
2025-01-07,241.67999267578125,241.25,240.02999877929688,243.47000122070312
2025-01-08,242.7700042724609,243.50999450683597,238.94000244140625,244.0
2025-01-10,232.42999267578125,238.0,231.0,240.05999755859372
2025-01-13,233.3300018310547,230.9499969482422,230.22999572753903,234.57000732421875
2025-01-14,236.92999267578125,232.5,231.0399932861328,237.22999572753903
2025-01-15,239.97999572753903,240.1300048828125,239.6300048828125,242.17999267578125
2025-01-16,242.3699951171875,239.88999938964844,239.8800048828125,242.6999969482422
2025-01-17,239.5200042724609,242.2100067138672,239.5200042724609,244.1000061035156
2025-01-21,239.16000366210935,241.3999938964844,238.3500061035156,241.8800048828125
2025-01-22,246.72000122070312,250.5,246.0,254.4199981689453
2025-01-23,241.50999450683597,243.75,240.3600006103516,244.7100067138672
2025-01-24,241.8600006103516,244.08999633789065,240.6499938964844,244.13999938964844
2025-01-27,251.00999450683597,244.19000244140625,243.47000122070312,251.2400054931641
2025-01-28,248.42999267578125,251.72999572753903,247.88999938964844,252.1499938964844
2025-01-29,249.5200042724609,247.6100006103516,247.0,251.7899932861328
2025-01-30,249.08999633789065,252.1000061035156,247.22000122070312,252.1000061035156
2025-01-31,245.17999267578125,248.3300018310547,245.0,250.0200042724609
2025-02-03,244.6000061035156,242.6199951171875,238.22000122070312,245.27999877929688
2025-02-04,244.05999755859372,244.69000244140625,243.13999938964844,246.75999450683597
2025-02-05,246.33999633789065,245.6000061035156,243.55999755859372,246.88999938964844
2025-02-06,247.63999938964844,249.0399932861328,245.5,249.2700042724609
2025-02-07,245.19000244140625,247.3500061035156,244.0399932861328,248.47000122070312
2025-02-10,242.4199981689453,245.0,241.97000122070312,245.19000244140625
2025-02-11,242.3500061035156,242.66000366210935,239.38999938964844,243.6000061035156
2025-02-12,240.66000366210935,239.5,238.3699951171875,242.05999755859372
2025-02-13,243.00999450683597,241.0500030517578,239.6699981689453,243.3300018310547
2025-02-14,238.3000030517578,242.0200042724609,236.9600067138672,242.44000244140625
2025-02-18,238.3999938964844,238.9499969482422,237.44000244140625,240.58999633789065
2025-02-19,242.3500061035156,241.33999633789065,239.22000122070312,242.8800048828125
2025-02-20,241.2400054931641,241.66000366210935,237.8000030517578,241.66000366210935
2025-02-21,240.02999877929688,242.42999267578125,238.69000244140625,242.75999450683597
2025-02-24,248.2400054931641,241.3600006103516,241.00999450683597,249.6699981689453
2025-02-25,252.50999450683597,250.3600006103516,248.9199981689453,255.1499938964844
2025-02-26,248.8500061035156,251.2100067138672,247.7400054931641,252.57000732421875
2025-02-27,254.7899932861328,249.8999938964844,249.8999938964844,255.4499969482422
2025-02-28,258.489990234375,256.5799865722656,254.50999450683597,258.7900085449219
2025-03-03,260.8399963378906,258.75,258.75,263.0799865722656
2025-03-04,255.6999969482422,261.9100036621094,255.3999938964844,262.3299865722656
2025-03-05,258.0299987792969,255.8699951171875,255.2899932861328,259.04998779296875
2025-03-06,256.0199890136719,256.75,253.25999450683597,257.9800109863281
2025-03-07,257.70001220703125,257.1000061035156,254.80999755859372,259.2900085449219
2025-03-10,256.6099853515625,255.57000732421875,254.55999755859372,262.9100036621094
2025-03-11,254.55999755859372,255.67999267578125,251.30999755859372,257.0400085449219
2025-03-12,251.9900054931641,254.47999572753903,248.08999633789065,255.1000061035156
2025-03-13,255.94000244140625,252.0399932861328,251.5399932861328,257.3099975585937
2025-03-14,260.9100036621094,256.54998779296875,254.6999969482422,261.9700012207031
2025-03-17,265.1300048828125,260.79998779296875,260.44000244140625,266.0899963378906
2025-03-18,260.5,264.3599853515625,260.0899963378906,266.739990234375
2025-03-19,261.32000732421875,260.04998779296875,259.2200012207031,262.8599853515625
2025-03-20,259.5400085449219,260.6300048828125,259.1099853515625,263.25
2025-03-21,256.70001220703125,259.010009765625,256.3900146484375,260.6099853515625
2025-03-24,259.44000244140625,258.82000732421875,256.7699890136719,259.9800109863281
2025-03-25,259.45001220703125,260.510009765625,256.4200134277344,261.760009765625
2025-03-26,262.260009765625,260.6300048828125,259.4200134277344,263.4599914550781
2025-03-27,262.67999267578125,264.2900085449219,260.1199951171875,264.3299865722656
2025-03-28,261.7900085449219,265.510009765625,261.489990234375,266.3099975585937
2025-03-31,264.4599914550781,261.8500061035156,261.260009765625,265.760009765625
2025-04-01,264.5400085449219,265.0,261.0899963378906,265.3900146484375
2025-04-02,264.489990234375,262.8299865722656,260.7300109863281,265.1600036621094
2025-04-03,263.1000061035156,262.57000732421875,260.7799987792969,266.2200012207031
2025-04-04,242.25999450683597,257.2200012207031,239.83999633789065,258.010009765625
2025-04-07,233.8300018310547,237.5500030517578,230.42999267578125,243.44000244140625
2025-04-08,236.52999877929688,241.8500061035156,233.0800018310547,242.8600006103516
2025-04-09,248.1000061035156,231.2400054931641,230.47000122070312,248.7100067138672
2025-04-10,245.1699981689453,246.6499938964844,239.4199981689453,248.6100006103516
2025-04-11,245.1300048828125,245.1699981689453,240.44000244140625,246.6100006103516
2025-04-14,250.83999633789065,248.52999877929688,247.55999755859372,252.2700042724609
2025-04-15,249.66000366210935,249.94000244140625,249.07000732421875,252.30999755859372
2025-04-16,252.47999572753903,255.7899932861328,251.3800048828125,260.3900146484375
2025-04-17,255.8600006103516,253.1100006103516,251.7899932861328,257.510009765625
2025-04-21,249.58999633789065,256.1199951171875,247.80999755859372,258.3900146484375
2025-04-22,261.3099975585937,253.3699951171875,252.00999450683597,262.7099914550781
2025-04-23,259.0799865722656,260.92999267578125,257.6400146484375,263.4200134277344
2025-04-24,260.3999938964844,257.8800048828125,255.3800048828125,261.45001220703125
2025-04-25,259.1600036621094,260.010009765625,255.8999938964844,260.3099975585937
2025-04-28,261.6099853515625,260.1300048828125,259.4800109863281,262.0599975585937
2025-04-29,264.04998779296875,262.17999267578125,260.82000732421875,264.5199890136719
2025-04-30,264.1300048828125,262.1400146484375,258.0899963378906,265.19000244140625
2025-05-01,261.45001220703125,261.760009765625,260.1099853515625,263.70001220703125
2025-05-02,267.4100036621094,264.0299987792969,262.7799987792969,267.79998779296875
2025-05-05,267.5400085449219,265.6400146484375,264.4700012207031,268.8099975585937
2025-05-06,268.04998779296875,266.5899963378906,265.3099975585937,268.760009765625
2025-05-07,268.8599853515625,267.6000061035156,266.92999267578125,270.4700012207031
2025-05-08,270.82000732421875,268.70001220703125,268.70001220703125,273.0799865722656
2025-05-09,269.75,270.75,269.260009765625,271.7300109863281
2025-05-12,268.0599975585937,270.20001220703125,262.6400146484375,270.3500061035156
2025-05-13,264.9200134277344,267.9100036621094,264.1700134277344,269.8999938964844
2025-05-14,262.5899963378906,265.94000244140625,261.0899963378906,265.94000244140625
2025-05-15,270.8999938964844,265.0799865722656,265.0799865722656,271.510009765625
2025-05-16,273.6300048828125,269.8099975585937,269.8099975585937,273.8900146484375
2025-05-19,274.5400085449219,273.75,272.20001220703125,275.0299987792969
2025-05-20,273.7099914550781,273.94000244140625,272.9200134277344,274.7900085449219
2025-05-21,271.1499938964844,273.0799865722656,270.0,273.67999267578125
2025-05-22,271.0799865722656,272.3299865722656,268.1199951171875,272.8299865722656
2025-05-23,271.0400085449219,271.5199890136719,268.95001220703125,272.9599914550781
2025-05-27,275.8800048828125,274.19000244140625,270.6099853515625,276.0599975585937
2025-05-28,273.6499938964844,275.6199951171875,272.6000061035156,276.2099914550781
2025-05-29,274.4100036621094,273.2900085449219,272.2099914550781,275.0899963378906
2025-05-30,275.70001220703125,273.8999938964844,272.6099853515625,277.6499938964844
2025-06-02,276.3399963378906,273.4200134277344,272.2099914550781,276.3999938964844
2025-06-03,276.07000732421875,276.3399963378906,270.7099914550781,277.8299865722656
2025-06-04,271.8599853515625,276.1499938964844,271.8399963378906,276.1499938964844
2025-06-05,271.0199890136719,271.6099853515625,269.5,273.04998779296875
2025-06-06,273.69000244140625,273.3099975585937,272.0799865722656,275.5799865722656
2025-06-09,267.7799987792969,273.5599975585937,262.92999267578125,273.5599975585937
2025-06-10,263.0,266.4700012207031,262.42999267578125,266.4700012207031
2025-06-11,261.2699890136719,262.6099853515625,260.239990234375,264.0
2025-06-12,265.95001220703125,260.2900085449219,258.8399963378906,266.0799865722656
2025-06-13,263.4700012207031,264.3099975585937,262.82000732421875,266.79998779296875

Indicator data:
date,5-day,20-day,60-day
2025-01-21,239.8586669921875,239.60552251906623,246.41634378068434
2025-01-22,242.23466796875,240.23676082066126,246.31908153262947
2025-01-23,242.221332804362,240.32890327090308,246.05680813815425
2025-01-24,242.22266642252603,240.450808207194,245.81415790495325
2025-01-27,245.30799763997396,241.44176018124534,245.87622878277887
2025-01-28,246.76732889811197,242.14828345889137,245.85445260636794
2025-01-29,247.9719980875651,242.93623642694382,245.86854566563673
2025-01-30,248.84666442871094,243.64461720784504,245.86885157517398
2025-01-31,247.91266276041668,243.93671191987536,245.7392393351904
2025-02-03,246.56399943033855,244.15314127604168,245.5908625118068
2025-02-04,245.4626658121745,244.30047454833985,245.42380234348317
2025-02-05,245.41266479492188,244.6565219697498,245.3319224623383
2025-02-06,246.00799865722655,245.1151411510649,245.2868241023496
2025-02-07,245.88333333333333,245.31204630533855,245.16393349235827
2025-02-10,244.83466593424478,245.2336177280971,244.95661651944854
2025-02-11,243.9080017089844,245.100951785133,244.75571510023107
2025-02-12,242.5320027669271,244.7643808274042,244.5079502043177
2025-02-13,242.31800028483073,244.6338565644764,244.34598282777546
2025-02-14,240.84266764322916,244.0403331211635,244.0369720125459
2025-02-18,239.85999857584636,243.47571353004093,243.74354559893166
2025-02-19,240.46200052897134,243.29261896042595,243.59290101098233
2025-02-20,240.69400227864583,242.98861955915177,243.41510885269915
2025-02-21,240.48400166829427,242.59547664097377,243.20636018846855
2025-02-24,243.20933634440104,242.991286722819,243.27814726282338
2025-02-25,246.6953338623047,243.7633814493815,243.49770993092022
2025-02-26,248.02066853841146,244.1797629946754,243.60203254574634
2025-02-27,250.89266560872395,245.1598575410389,243.90926183481685
2025-02-28,254.09466247558595,246.4672375633603,244.34428884370732
2025-03-03,256.8493286132813,247.9536658150809,244.86049092610676
2025-03-04,257.0506622314453,248.8759988693964,245.20962746208482
2025-03-05,257.8159962972005,249.96737976074218,245.63782963153443
2025-03-06,257.29932759602866,250.80080733526322,246.0021790217832
2025-03-07,257.2606669108073,251.74814191545758,246.425567435176
2025-03-10,256.9113291422526,252.54375959123885,246.81510249903945
2025-03-11,256.16066284179686,253.08975946335565,247.1348620138533
2025-03-12,254.62933247884115,253.33318866548083,247.36658353544976
2025-03-13,254.817333984375,253.90690329415457,247.7240699809757
2025-03-14,256.6673350016276,254.88118947347004,248.23791712359653
2025-03-17,259.7100036621094,256.1721423921131,248.88214135508719
2025-03-18,260.64133605957034,256.8943805512928,249.36425613653464
2025-03-19,261.4500040690104,257.5894765218099,249.86404328893443
2025-03-20,261.0433390299479,258.02471545991443,250.29165014881906
2025-03-21,259.45000813802085,258.1023356846401,250.61421341192528
2025-03-24,259.05067342122396,258.361526343936,251.01790202823494
2025-03-25,259.0340087890625,258.56833699544273,251.41203905116012
2025-03-26,260.0240091959635,259.0097187587193,251.88925249276917
2025-03-27,261.0913370768229,259.42724173409596,252.37011017512754
2025-03-28,261.6526713053385,259.7224328903925,252.81016510510054
2025-03-31,262.76466674804686,260.2561937604632,253.32578230894327
2025-04-01,263.56866861979165,260.78033723377047,253.8311432468435
2025-04-02,264.01666463216145,261.2576217651367,254.32194073786502
2025-04-03,263.8526672363281,261.57176499139695,254.75503383282103
2025-04-04,256.71399841308596,259.8674308413551,254.4932522299511
2025-04-07,248.06733296712238,257.4337641398112,253.9547604837053
2025-04-08,242.36266581217447,255.36571611676897,253.5096784748015
2025-04-09,242.3820017496745,254.48543069022043,253.44170052783736
2025-04-10,242.517333984375,253.34462069556827,253.26958570636685
2025-04-11,243.8346689860026,252.25128755115327,253.09165689437117
2025-04-14,246.86400044759114,251.7769059680757,253.098126704315
2025-04-15,248.36600138346355,251.25819178989954,253.06127981383943
2025-04-16,249.932666015625,251.05966731480189,253.11135069633443
2025-04-17,252.33399963378906,251.2251433599563,253.264962726864
2025-04-21,251.9326649983724,250.81099998837425,253.2080063116355
2025-04-22,255.14066467285156,251.54690442766463,253.530896929965
2025-04-23,256.90732727050784,252.0615221296038,253.77004402035573
2025-04-24,258.4859934488932,252.7036168416341,254.0480602076796
2025-04-25,259.123329671224,253.2364744640532,254.27887999320942
2025-04-28,260.3573262532552,254.01942552839006,254.58475928801656
2025-04-29,261.6033243815104,255.03561503092448,254.96379713881862
2025-04-30,262.6933288574219,256.0613776070731,255.33514702802148
2025-05-01,262.55333455403644,256.8338551839193,255.60795617442312
2025-05-02,264.3300028483073,258.1884270804269,256.06667213648393
2025-05-05,265.6000061035156,259.5348565964472,256.51813688851445
2025-05-06,266.64466756184896,260.80947454543343,256.9754479496857
2025-05-07,267.6926615397135,261.99828280494324,257.4468245125859
2025-05-08,269.0786641438802,263.21980750674294,257.9680160105554
2025-05-09,269.48333129882815,264.23123626708986,258.43856792345724
2025-05-12,269.1686645507813,264.96466478620255,258.83781374738516
2025-05-13,267.7726704915365,265.28985675630116,259.12042074568285
2025-05-14,265.8086690266927,265.326094636463,259.31208728727745
2025-05-15,267.032666015625,266.0921894618443,259.7629941846504
2025-05-16,269.1613342285156,267.0305710565476,260.28780855272635
2025-05-19,271.3346700032552,267.9710005987258,260.8247596532269
2025-05-20,272.79933268229166,268.713571312314,261.31563914981695
2025-05-21,272.8246643066406,269.15328514462425,261.7086662751078
2025-05-22,272.25599365234376,269.5288553873698,262.0892122862769
2025-05-23,271.66199747721356,269.8497610909598,262.45630001214033
2025-05-27,272.8539998372396,270.575047374907,262.97319635276585
2025-05-28,273.2133321126302,271.01999918619794,263.4074748388405
2025-05-29,273.8300008138021,271.49161856515065,263.8596716792206
2025-05-30,274.6593383789062,272.03714352562315,264.3439398343446
2025-06-02,275.3940022786458,272.5757622128441,264.8395353306838
2025-06-03,275.6853373209635,273.0461438860212,265.3151748990752
2025-06-04,274.5606648763021,273.0749520438058,265.6427427114685
2025-06-05,273.27532755533855,273.00561770484563,265.93443632699103
2025-06-06,273.105995686849,273.18028462727864,266.30467683552394
2025-06-09,271.1006632486979,272.778427414667,266.4692888103548
2025-06-10,268.0726643880208,271.93071318126863,266.4707095703792
2025-06-11,265.3393290201823,270.9423312232608,266.41426658421915
2025-06-12,264.8720011393229,270.417046828497,266.51337627973714
2025-06-13,263.91600138346354,269.6395708356585,266.52819599089077

Answer: 55.4455