Question: From August 05, 2020 to June 29, 2021, what is F5's Tracking Error? (Annualized; 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: TE = \sigma(r - r_b) * \sqrt{252}; r_b is the benchmark daily return
Data:
date,close,benchmark_close
2020-08-04,140.67999267578125,3306.510009765625
2020-08-05,140.7899932861328,3327.77001953125
2020-08-06,141.33999633789062,3349.159912109375
2020-08-07,140.5800018310547,3351.280029296875
2020-08-10,139.6199951171875,3360.469970703125
2020-08-11,137.75,3333.68994140625
2020-08-12,138.2899932861328,3380.35009765625
2020-08-13,136.88999938964844,3373.429931640625
2020-08-14,136.0500030517578,3372.85009765625
2020-08-17,134.80999755859375,3381.989990234375
2020-08-18,134.52999877929688,3389.780029296875
2020-08-19,134.67999267578125,3374.85009765625
2020-08-20,134.33999633789062,3385.510009765625
2020-08-21,135.32000732421875,3397.159912109375
2020-08-24,136.19000244140625,3431.280029296875
2020-08-25,133.75,3443.6201171875
2020-08-26,133.80999755859375,3478.72998046875
2020-08-27,128.75999450683594,3484.550048828125
2020-08-28,130.27000427246094,3508.010009765625
2020-08-31,132.3300018310547,3500.31005859375
2020-09-01,131.10000610351562,3526.64990234375
2020-09-02,132.61000061035156,3580.840087890625
2020-09-03,128.67999267578125,3455.06005859375
2020-09-04,127.13999938964844,3426.9599609375
2020-09-08,122.13999938964844,3331.840087890625
2020-09-09,123.3000030517578,3398.9599609375
2020-09-10,120.04000091552734,3339.18994140625
2020-09-11,119.98999786376952,3340.969970703125
2020-09-14,121.63999938964844,3383.5400390625
2020-09-15,121.48999786376952,3401.199951171875
2020-09-16,123.52999877929688,3385.489990234375
2020-09-17,123.26000213623048,3357.010009765625
2020-09-18,120.83999633789062,3319.469970703125
2020-09-21,117.7699966430664,3281.06005859375
2020-09-22,120.3499984741211,3315.570068359375
2020-09-23,118.87000274658205,3236.919921875
2020-09-24,118.91000366210938,3246.590087890625
2020-09-25,119.98999786376952,3298.4599609375
2020-09-28,123.37000274658205,3351.60009765625
2020-09-29,124.01000213623048,3335.469970703125
2020-09-30,122.7699966430664,3363.0
2020-10-01,123.06999969482422,3380.800048828125
2020-10-02,122.5,3348.419921875
2020-10-05,125.37000274658205,3408.60009765625
2020-10-06,125.41999816894533,3360.969970703125
2020-10-07,127.62999725341795,3419.43994140625
2020-10-08,128.05999755859375,3446.830078125
2020-10-09,127.55999755859376,3477.139892578125
2020-10-12,128.75,3534.219970703125
2020-10-13,126.52999877929688,3511.929931640625
2020-10-14,129.11000061035156,3488.669921875
2020-10-15,132.27000427246094,3483.340087890625
2020-10-16,132.6999969482422,3483.81005859375
2020-10-19,132.27999877929688,3426.919921875
2020-10-20,129.27000427246094,3443.1201171875
2020-10-21,127.43000030517578,3435.56005859375
2020-10-22,127.33000183105467,3453.489990234375
2020-10-23,128.36000061035156,3465.389892578125
2020-10-26,125.56999969482422,3400.969970703125
2020-10-27,136.25999450683594,3390.679931640625
2020-10-28,134.22000122070312,3271.030029296875
2020-10-29,133.57000732421875,3310.110107421875
2020-10-30,132.94000244140625,3269.9599609375
2020-11-02,131.22999572753906,3310.239990234375
2020-11-03,135.92999267578125,3369.159912109375
2020-11-04,134.0,3443.43994140625
2020-11-05,140.85000610351562,3510.449951171875
2020-11-06,144.3699951171875,3509.43994140625
2020-11-09,154.97000122070312,3550.5
2020-11-10,157.91000366210938,3545.530029296875
2020-11-11,159.66000366210938,3572.659912109375
2020-11-12,157.1199951171875,3537.010009765625
2020-11-13,159.4600067138672,3585.14990234375
2020-11-16,162.99000549316406,3626.909912109375
2020-11-17,162.08999633789062,3609.530029296875
2020-11-18,155.42999267578125,3567.7900390625
2020-11-19,160.1999969482422,3581.8701171875
2020-11-20,161.11000061035156,3557.5400390625
2020-11-23,162.1999969482422,3577.590087890625
2020-11-24,164.83999633789062,3635.409912109375
2020-11-25,164.75,3629.64990234375
2020-11-27,164.5500030517578,3638.35009765625
2020-11-30,162.80999755859375,3621.6298828125
2020-12-01,163.94000244140625,3662.449951171875
2020-12-02,164.25999450683594,3669.010009765625
2020-12-03,162.5500030517578,3666.719970703125
2020-12-04,166.07000732421875,3699.1201171875
2020-12-07,168.57000732421875,3691.9599609375
2020-12-08,170.0,3702.25
2020-12-09,170.5800018310547,3672.820068359375
2020-12-10,171.41000366210938,3668.10009765625
2020-12-11,172.38999938964844,3663.4599609375
2020-12-14,171.1999969482422,3647.489990234375
2020-12-15,174.5500030517578,3694.6201171875
2020-12-16,173.25999450683594,3701.169921875
2020-12-17,174.5,3722.47998046875
2020-12-18,175.22999572753906,3709.409912109375
2020-12-21,174.2899932861328,3694.919921875
2020-12-22,175.63999938964844,3687.260009765625
2020-12-23,175.86000061035156,3690.010009765625
2020-12-24,175.61000061035156,3703.06005859375
2020-12-28,176.44000244140625,3735.360107421875
2020-12-29,175.08999633789062,3727.0400390625
2020-12-30,175.66000366210938,3732.0400390625
2020-12-31,175.94000244140625,3756.070068359375
2021-01-04,175.85000610351562,3700.64990234375
2021-01-05,177.25,3726.860107421875
2021-01-06,178.5800018310547,3748.139892578125
2021-01-07,180.10000610351562,3803.7900390625
2021-01-08,191.2400054931641,3824.679931640625
2021-01-11,190.3500061035156,3799.610107421875
2021-01-12,192.97000122070312,3801.18994140625
2021-01-13,191.7100067138672,3809.840087890625
2021-01-14,193.42999267578125,3795.5400390625
2021-01-15,195.1000061035156,3768.25
2021-01-19,196.8000030517578,3798.909912109375
2021-01-20,198.6499938964844,3851.85009765625
2021-01-21,201.0,3853.070068359375
2021-01-22,204.32000732421875,3841.469970703125
2021-01-25,207.25,3855.360107421875
2021-01-26,208.55999755859372,3849.6201171875
2021-01-27,201.22000122070312,3750.77001953125
2021-01-28,201.3500061035156,3787.3798828125
2021-01-29,195.9499969482422,3714.239990234375
2021-02-01,196.3500061035156,3773.860107421875
2021-02-02,194.19000244140625,3826.31005859375
2021-02-03,194.91000366210935,3830.169921875
2021-02-04,199.0800018310547,3871.739990234375
2021-02-05,199.13999938964844,3886.830078125
2021-02-08,205.7899932861328,3915.590087890625
2021-02-09,205.33999633789065,3911.22998046875
2021-02-10,206.75,3909.8798828125
2021-02-11,206.2700042724609,3916.3798828125
2021-02-12,210.6199951171875,3934.830078125
2021-02-16,208.3500061035156,3932.590087890625
2021-02-17,204.13999938964844,3931.330078125
2021-02-18,199.02999877929688,3913.969970703125
2021-02-19,198.80999755859372,3906.7099609375
2021-02-22,192.7899932861328,3876.5
2021-02-23,186.7700042724609,3881.3701171875
2021-02-24,189.5,3925.429931640625
2021-02-25,190.0399932861328,3829.340087890625
2021-02-26,189.97999572753903,3811.14990234375
2021-03-01,194.1199951171875,3901.820068359375
2021-03-02,192.16000366210935,3870.2900390625
2021-03-03,188.3699951171875,3819.719970703125
2021-03-04,186.02999877929688,3768.469970703125
2021-03-05,190.44000244140625,3841.93994140625
2021-03-08,188.2400054931641,3821.35009765625
2021-03-09,192.94000244140625,3875.43994140625
2021-03-10,191.6999969482422,3898.81005859375
2021-03-11,195.0800018310547,3939.340087890625
2021-03-12,196.17999267578125,3943.340087890625
2021-03-15,198.6999969482422,3968.93994140625
2021-03-16,201.05999755859372,3962.7099609375
2021-03-17,201.3800048828125,3974.1201171875
2021-03-18,200.2899932861328,3915.4599609375
2021-03-19,200.25,3913.10009765625
2021-03-22,202.94000244140625,3940.590087890625
2021-03-23,201.33999633789065,3910.52001953125
2021-03-24,197.7100067138672,3889.139892578125
2021-03-25,201.3000030517578,3909.52001953125
2021-03-26,210.44000244140625,3974.5400390625
2021-03-29,208.77999877929688,3971.090087890625
2021-03-30,207.6300048828125,3958.550048828125
2021-03-31,208.6199951171875,3972.889892578125
2021-04-01,211.1100006103516,4019.8701171875
2021-04-05,215.27999877929688,4077.909912109375
2021-04-06,215.3500061035156,4073.93994140625
2021-04-07,210.8999938964844,4079.949951171875
2021-04-08,211.5500030517578,4097.169921875
2021-04-09,210.4199981689453,4128.7998046875
2021-04-12,207.1999969482422,4127.990234375
2021-04-13,207.0,4141.58984375
2021-04-14,209.32000732421875,4124.66015625
2021-04-15,209.57000732421875,4170.419921875
2021-04-16,209.7700042724609,4185.47021484375
2021-04-19,208.4900054931641,4163.259765625
2021-04-20,207.00999450683597,4134.93994140625
2021-04-21,209.5,4173.419921875
2021-04-22,208.4600067138672,4134.97998046875
2021-04-23,209.63999938964844,4180.169921875
2021-04-26,210.7400054931641,4187.6201171875
2021-04-27,205.33999633789065,4186.72021484375
2021-04-28,186.6999969482422,4183.18017578125
2021-04-29,190.55999755859372,4211.47021484375
2021-04-30,186.75999450683597,4181.169921875
2021-05-03,183.6999969482422,4192.66015625
2021-05-04,181.22999572753903,4164.66015625
2021-05-05,180.7100067138672,4167.58984375
2021-05-06,182.08999633789065,4201.6201171875
2021-05-07,184.27999877929688,4232.60009765625
2021-05-10,182.72000122070312,4188.43017578125
2021-05-11,182.6000061035156,4152.10009765625
2021-05-12,174.9600067138672,4063.0400390625
2021-05-13,179.32000732421875,4112.5
2021-05-14,181.2700042724609,4173.85009765625
2021-05-17,180.6499938964844,4163.2900390625
2021-05-18,180.63999938964844,4127.830078125
2021-05-19,180.55999755859372,4115.68017578125
2021-05-20,185.05999755859372,4159.1201171875
2021-05-21,183.8999938964844,4155.85986328125
2021-05-24,185.5200042724609,4197.0498046875
2021-05-25,185.05999755859372,4188.1298828125
2021-05-26,185.07000732421875,4195.990234375
2021-05-27,187.1999969482422,4200.8798828125
2021-05-28,185.42999267578125,4204.10986328125
2021-06-01,179.1999969482422,4202.0400390625
2021-06-02,181.6300048828125,4208.1201171875
2021-06-03,184.05999755859372,4192.85009765625
2021-06-04,188.75999450683597,4229.89013671875
2021-06-07,187.30999755859372,4226.52001953125
2021-06-08,188.6199951171875,4227.259765625
2021-06-09,187.7400054931641,4219.5498046875
2021-06-10,194.2899932861328,4239.18017578125
2021-06-11,192.7400054931641,4247.43994140625
2021-06-14,191.72999572753903,4255.14990234375
2021-06-15,189.38999938964844,4246.58984375
2021-06-16,188.13999938964844,4223.7001953125
2021-06-17,187.88999938964844,4221.85986328125
2021-06-18,183.50999450683597,4166.4501953125
2021-06-21,185.47999572753903,4224.7900390625
2021-06-22,185.16000366210935,4246.43994140625
2021-06-23,184.25,4241.83984375
2021-06-24,187.47000122070312,4266.490234375
2021-06-25,189.75999450683597,4280.7001953125
2021-06-28,190.5500030517578,4290.60986328125
2021-06-29,190.4499969482422,4291.7998046875

Indicator data:
Answer: 0.2505