Question: For Average True Range, what is the value of Synchrony Financial on October 23, 2024? (Standard period: 14; ATR calculation uses Wilder Smoothing, using the first data point as the initial value; Require 4n data points to warm up) 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: TR_t = max(H_t - L_t, |H_t - C_{t-1}|, |L_t - C_{t-1}|); ATR = Wilder_n(TR); Wilder Smoothing alpha = 1/n
Data:
date,high,low,close
2024-08-05,44.060001373291016,41.994998931884766,43.77000045776367
2024-08-06,45.01499938964844,43.560001373291016,44.310001373291016
2024-08-07,45.959999084472656,44.220001220703125,44.29999923706055
2024-08-08,45.97999954223633,44.869998931884766,45.7599983215332
2024-08-09,46.59999847412109,45.77000045776367,46.56999969482422
2024-08-12,46.93000030517578,45.415000915527344,45.650001525878906
2024-08-13,45.97499847412109,45.33000183105469,45.7400016784668
2024-08-14,46.584999084472656,45.619998931884766,46.31999969482422
2024-08-15,47.744998931884766,45.81999969482422,45.88999938964844
2024-08-16,46.68999862670898,45.84000015258789,46.619998931884766
2024-08-19,47.650001525878906,46.70000076293945,47.630001068115234
2024-08-20,47.5099983215332,46.77999877929688,47.11000061035156
2024-08-21,47.36199951171875,46.7599983215332,47.2400016784668
2024-08-22,47.56999969482422,47.0099983215332,47.20000076293945
2024-08-23,48.790000915527344,47.20000076293945,48.59999847412109
2024-08-26,49.10499954223633,48.560001373291016,48.869998931884766
2024-08-27,49.20000076293945,48.59999847412109,48.810001373291016
2024-08-28,49.54999923706055,48.52999877929688,49.52000045776367
2024-08-29,50.220001220703125,49.27000045776367,49.77999877929688
2024-08-30,50.560001373291016,49.65999984741211,50.2599983215332
2024-09-03,49.959999084472656,49.0,49.29999923706055
2024-09-04,49.93000030517578,48.77999877929688,49.18999862670898
2024-09-05,49.720001220703125,48.310001373291016,48.66999816894531
2024-09-06,49.53900146484375,47.150001525878906,47.40999984741211
2024-09-09,48.54999923706055,47.65999984741211,48.16999816894531
2024-09-10,47.630001068115234,44.0,46.150001525878906
2024-09-11,46.16999816894531,44.630001068115234,45.84000015258789
2024-09-12,46.43000030517578,45.44499969482422,46.40999984741211
2024-09-13,47.34000015258789,46.68999862670898,47.130001068115234
2024-09-16,47.459999084472656,46.51499938964844,47.33000183105469
2024-09-17,49.58000183105469,47.52000045776367,49.18999862670898
2024-09-18,49.650001525878906,48.36000061035156,48.88999938964844
2024-09-19,51.22999954223633,49.58000183105469,51.02999877929688
2024-09-20,51.15499877929688,50.38999938964844,50.58000183105469
2024-09-23,51.31999969482422,49.67499923706055,49.70000076293945
2024-09-24,49.90999984741211,47.59000015258789,48.209999084472656
2024-09-25,48.5,47.89500045776367,48.20000076293945
2024-09-26,49.209999084472656,47.959999084472656,49.040000915527344
2024-09-27,50.18000030517578,48.95000076293945,49.650001525878906
2024-09-30,49.90999984741211,49.150001525878906,49.880001068115234
2024-10-01,49.7599983215332,48.27999877929688,49.0099983215332
2024-10-02,50.26499938964844,48.880001068115234,49.58000183105469
2024-10-03,49.91999816894531,48.69499969482422,49.560001373291016
2024-10-04,51.93999862670898,50.619998931884766,51.86000061035156
2024-10-07,51.959999084472656,51.220001220703125,51.56999969482422
2024-10-08,51.86000061035156,51.02000045776367,51.18999862670898
2024-10-09,52.0890007019043,51.13999938964844,52.0
2024-10-10,52.290000915527344,51.40999984741211,51.58000183105469
2024-10-11,53.29999923706055,51.77000045776367,53.150001525878906
2024-10-14,53.91999816894531,52.625,53.68999862670898
2024-10-15,54.790000915527344,53.18000030517578,53.290000915527344
2024-10-16,56.59000015258789,54.0099983215332,56.52000045776367
2024-10-17,57.26499938964844,56.02999877929688,56.70000076293945
2024-10-18,56.47999954223633,55.040000915527344,56.41999816894531
2024-10-21,56.58000183105469,55.54999923706055,55.810001373291016
2024-10-22,55.810001373291016,55.18999862670898,55.66999816894531
2024-10-23,55.84000015258789,54.55500030517578,55.0

Indicator data:
Answer: 1.3878