Question: Calculate eBay Inc.'s Jensen's Alpha from August 27, 2025 to December 11, 2025. (Default risk-free rate is 0; return annualized (US standard uses arithmetic mean return); 252 trading days per year) 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: \alpha = AnnRet - [rf + \beta * (AnnRet_m - rf)]; \beta = cov(r, r_m) / var(r_m)
Data:
date,close,market_close
2025-08-26,94.63999938964844,6465.93994140625
2025-08-27,93.66999816894533,6481.39990234375
2025-08-28,92.8000030517578,6501.85986328125
2025-08-29,90.61000061035156,6460.259765625
2025-09-02,89.88999938964844,6415.5400390625
2025-09-03,90.16000366210938,6448.259765625
2025-09-04,93.02999877929688,6502.080078125
2025-09-05,92.66000366210938,6481.5
2025-09-08,93.0199966430664,6495.14990234375
2025-09-09,92.45999908447266,6512.60986328125
2025-09-10,91.29000091552734,6532.0400390625
2025-09-11,92.45999908447266,6587.47021484375
2025-09-12,90.8000030517578,6584.2900390625
2025-09-15,90.36000061035156,6615.27978515625
2025-09-16,88.8499984741211,6606.759765625
2025-09-17,89.95999908447266,6600.35009765625
2025-09-18,89.5999984741211,6631.9599609375
2025-09-19,91.11000061035156,6664.35986328125
2025-09-22,90.58999633789062,6693.75
2025-09-23,91.05999755859376,6656.919921875
2025-09-24,93.36000061035156,6637.97021484375
2025-09-25,93.11000061035156,6604.72021484375
2025-09-26,91.13999938964844,6643.7001953125
2025-09-29,91.16999816894533,6661.2099609375
2025-09-30,90.9499969482422,6688.4599609375
2025-10-01,87.58000183105469,6711.2001953125
2025-10-02,88.4000015258789,6715.35009765625
2025-10-03,92.16999816894533,6715.7900390625
2025-10-06,91.7699966430664,6740.27978515625
2025-10-07,93.04000091552734,6714.58984375
2025-10-08,92.08000183105467,6753.72021484375
2025-10-09,90.12999725341795,6735.10986328125
2025-10-10,88.55000305175781,6552.509765625
2025-10-13,89.36000061035156,6654.72021484375
2025-10-14,91.05999755859376,6644.31005859375
2025-10-15,90.87000274658205,6671.06005859375
2025-10-16,91.18000030517578,6629.06982421875
2025-10-17,92.01000213623048,6664.009765625
2025-10-20,95.6500015258789,6735.1298828125
2025-10-21,94.9800033569336,6735.35009765625
2025-10-22,95.37000274658205,6699.39990234375
2025-10-23,95.5199966430664,6738.43994140625
2025-10-24,97.1999969482422,6791.68994140625
2025-10-27,98.01000213623048,6875.16015625
2025-10-28,99.58000183105467,6890.89013671875
2025-10-29,99.54000091552734,6890.58984375
2025-10-30,83.7300033569336,6822.33984375
2025-10-31,81.30999755859375,6840.2001953125
2025-11-03,82.7699966430664,6851.97021484375
2025-11-04,81.68000030517578,6771.5498046875
2025-11-05,81.01000213623047,6796.2900390625
2025-11-06,80.8499984741211,6720.31982421875
2025-11-07,83.80000305175781,6728.7998046875
2025-11-10,85.18000030517578,6832.43017578125
2025-11-11,87.26000213623047,6846.60986328125
2025-11-12,87.79000091552734,6850.919921875
2025-11-13,84.43000030517578,6737.490234375
2025-11-14,83.8499984741211,6734.10986328125
2025-11-17,82.16000366210938,6672.41015625
2025-11-18,81.83000183105469,6617.31982421875
2025-11-19,81.27999877929688,6642.16015625
2025-11-20,80.05000305175781,6538.759765625
2025-11-21,80.83999633789062,6602.990234375
2025-11-24,80.88999938964844,6705.1201171875
2025-11-25,82.79000091552734,6765.8798828125
2025-11-26,82.48999786376953,6812.60986328125
2025-11-28,82.79000091552734,6849.08984375
2025-12-01,82.7300033569336,6812.6298828125
2025-12-02,82.91000366210938,6829.3701171875
2025-12-03,82.0,6849.72021484375
2025-12-04,82.12999725341797,6857.1201171875
2025-12-05,82.47000122070312,6870.39990234375
2025-12-08,83.8499984741211,6846.509765625
2025-12-09,83.88999938964844,6840.509765625
2025-12-10,82.62999725341797,6886.68017578125
2025-12-11,84.4000015258789,6901.0

Indicator data:
Answer: -0.581