Question: What is the value of Tracking Error for JPMorgan Chase from December 27, 2021 to September 09, 2022? (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
2021-12-23,157.25999450683594,4725.7900390625
2021-12-27,158.16000366210938,4791.18994140625
2021-12-28,158.63999938964844,4786.35009765625
2021-12-29,158.55999755859375,4793.06005859375
2021-12-30,158.47999572753906,4778.72998046875
2021-12-31,158.35000610351562,4766.18017578125
2022-01-03,161.6999969482422,4796.56005859375
2022-01-04,167.8300018310547,4793.5400390625
2022-01-05,163.77999877929688,4700.580078125
2022-01-06,165.52000427246094,4696.0498046875
2022-01-07,167.16000366210938,4677.02978515625
2022-01-10,167.32000732421875,4670.2900390625
2022-01-11,167.49000549316406,4713.06982421875
2022-01-12,168.44000244140625,4726.35009765625
2022-01-13,168.22999572753906,4659.02978515625
2022-01-14,157.88999938964844,4662.85009765625
2022-01-18,151.27000427246094,4577.10986328125
2022-01-19,148.92999267578125,4532.759765625
2022-01-20,147.66000366210938,4482.72998046875
2022-01-21,145.0800018310547,4397.93994140625
2022-01-24,144.9499969482422,4410.1298828125
2022-01-25,146.52999877929688,4356.4501953125
2022-01-26,147.9199981689453,4349.93017578125
2022-01-27,145.30999755859375,4326.509765625
2022-01-28,146.61000061035156,4431.85009765625
2022-01-31,148.60000610351562,4515.5498046875
2022-02-01,151.14999389648438,4546.5400390625
2022-02-02,149.94000244140625,4589.3798828125
2022-02-03,148.6999969482422,4477.43994140625
2022-02-04,152.55999755859375,4500.52978515625
2022-02-07,153.07000732421875,4483.8701171875
2022-02-08,155.9499969482422,4521.5400390625
2022-02-09,156.60000610351562,4587.18017578125
2022-02-10,155.9499969482422,4504.080078125
2022-02-11,153.9199981689453,4418.64013671875
2022-02-14,152.49000549316406,4401.669921875
2022-02-15,154.72000122070312,4471.06982421875
2022-02-16,155.0,4475.009765625
2022-02-17,151.42999267578125,4380.259765625
2022-02-18,152.13999938964844,4348.8701171875
2022-02-22,151.8699951171875,4304.759765625
2022-02-23,148.69000244140625,4225.5
2022-02-24,144.5500030517578,4288.7001953125
2022-02-25,147.97000122070312,4384.64990234375
2022-02-28,141.8000030517578,4373.93994140625
2022-03-01,136.4499969482422,4306.259765625
2022-03-02,139.27999877929688,4386.5400390625
2022-03-03,138.2899932861328,4363.490234375
2022-03-04,134.39999389648438,4328.8701171875
2022-03-07,129.2100067138672,4201.08984375
2022-03-08,128.3000030517578,4170.7001953125
2022-03-09,133.44000244140625,4277.8798828125
2022-03-10,131.86000061035156,4259.52001953125
2022-03-11,128.88999938964844,4204.31005859375
2022-03-14,130.1699981689453,4173.10986328125
2022-03-15,132.47999572753906,4262.4501953125
2022-03-16,138.39999389648438,4357.85986328125
2022-03-17,140.14999389648438,4411.669921875
2022-03-18,140.10000610351562,4463.1201171875
2022-03-21,139.64999389648438,4461.18017578125
2022-03-22,142.6199951171875,4511.60986328125
2022-03-23,139.77999877929688,4456.240234375
2022-03-24,140.69000244140625,4520.16015625
2022-03-25,141.9199981689453,4543.06005859375
2022-03-28,140.8699951171875,4575.52001953125
2022-03-29,141.17999267578125,4631.60009765625
2022-03-30,140.5399932861328,4602.4501953125
2022-03-31,136.32000732421875,4530.41015625
2022-04-01,135.30999755859375,4545.85986328125
2022-04-04,135.91000366210938,4582.64013671875
2022-04-05,133.33999633789062,4525.1201171875
2022-04-06,131.49000549316406,4481.14990234375
2022-04-07,131.08999633789062,4500.2099609375
2022-04-08,133.49000549316406,4488.27978515625
2022-04-11,133.0,4412.52978515625
2022-04-12,131.5399932861328,4397.4501953125
2022-04-13,127.3000030517578,4446.58984375
2022-04-14,126.12000274658205,4392.58984375
2022-04-18,128.4600067138672,4391.68994140625
2022-04-19,131.1199951171875,4462.2099609375
2022-04-20,131.5800018310547,4459.4501953125
2022-04-21,130.55999755859375,4393.66015625
2022-04-22,126.80999755859376,4271.77978515625
2022-04-25,126.7699966430664,4296.1201171875
2022-04-26,123.0199966430664,4175.2001953125
2022-04-27,121.41999816894533,4183.9599609375
2022-04-28,123.33999633789062,4287.5
2022-04-29,119.36000061035156,4131.93017578125
2022-05-02,120.4499969482422,4155.3798828125
2022-05-03,123.02999877929688,4175.47998046875
2022-05-04,127.0999984741211,4300.169921875
2022-05-05,123.91999816894533,4146.8701171875
2022-05-06,123.72000122070312,4123.33984375
2022-05-09,121.86000061035156,3991.239990234375
2022-05-10,118.88999938964844,4001.050048828125
2022-05-11,118.13999938964844,3935.179931640625
2022-05-12,118.04000091552734,3930.080078125
2022-05-13,119.08999633789062,4023.889892578125
2022-05-16,118.26000213623048,4008.010009765625
2022-05-17,122.18000030517578,4088.85009765625
2022-05-18,120.08999633789062,3923.679931640625
2022-05-19,118.30999755859376,3900.7900390625
2022-05-20,117.33999633789062,3901.360107421875
2022-05-23,124.5999984741211,3973.75
2022-05-24,126.36000061035156,3941.47998046875
2022-05-25,127.23999786376952,3978.72998046875
2022-05-26,129.44000244140625,4057.840087890625
2022-05-27,131.27000427246094,4158.240234375
2022-05-31,132.22999572753906,4132.14990234375
2022-06-01,129.91000366210938,4101.22998046875
2022-06-02,132.0,4176.81982421875
2022-06-03,130.16000366210938,4108.5400390625
2022-06-06,129.72999572753906,4121.43017578125
2022-06-07,130.07000732421875,4160.68017578125
2022-06-08,128.0,4115.77001953125
2022-06-09,125.30999755859376,4017.820068359375
2022-06-10,119.5500030517578,3900.860107421875
2022-06-13,115.98999786376952,3749.6298828125
2022-06-14,114.05999755859376,3735.47998046875
2022-06-15,115.41000366210938,3789.989990234375
2022-06-16,113.43000030517578,3666.77001953125
2022-06-17,113.02999877929688,3674.840087890625
2022-06-21,115.83000183105467,3764.7900390625
2022-06-22,115.18000030517578,3759.889892578125
2022-06-23,113.91999816894533,3795.72998046875
2022-06-24,117.31999969482422,3911.739990234375
2022-06-27,116.37999725341795,3900.110107421875
2022-06-28,115.81999969482422,3821.550048828125
2022-06-29,115.3000030517578,3818.830078125
2022-06-30,112.61000061035156,3785.3798828125
2022-07-01,114.0500030517578,3825.330078125
2022-07-05,112.62000274658205,3831.389892578125
2022-07-06,111.88999938964844,3845.080078125
2022-07-07,114.72000122070312,3902.6201171875
2022-07-08,114.36000061035156,3899.3798828125
2022-07-11,112.86000061035156,3854.429931640625
2022-07-12,112.97000122070312,3818.800048828125
2022-07-13,111.91000366210938,3801.780029296875
2022-07-14,108.0,3790.3798828125
2022-07-15,112.9499969482422,3863.159912109375
2022-07-18,111.79000091552734,3830.85009765625
2022-07-19,114.55999755859376,3936.68994140625
2022-07-20,114.54000091552734,3959.89990234375
2022-07-21,115.31999969482422,3998.949951171875
2022-07-22,114.76000213623048,3961.6298828125
2022-07-25,115.22000122070312,3966.840087890625
2022-07-26,113.41999816894533,3921.050048828125
2022-07-27,115.23999786376952,4023.610107421875
2022-07-28,114.80999755859376,4072.429931640625
2022-07-29,115.36000061035156,4130.2900390625
2022-08-01,114.20999908447266,4118.6298828125
2022-08-02,112.43000030517578,4091.18994140625
2022-08-03,113.61000061035156,4155.169921875
2022-08-04,112.36000061035156,4151.93994140625
2022-08-05,115.76000213623048,4145.18994140625
2022-08-08,114.3499984741211,4140.06005859375
2022-08-09,115.37999725341795,4122.47021484375
2022-08-10,118.38999938964844,4210.240234375
2022-08-11,120.13999938964844,4207.27001953125
2022-08-12,122.12999725341795,4280.14990234375
2022-08-15,122.45999908447266,4297.14013671875
2022-08-16,123.62999725341795,4305.2001953125
2022-08-17,122.58999633789062,4274.0400390625
2022-08-18,121.63999938964844,4283.740234375
2022-08-19,118.62999725341795,4228.47998046875
2022-08-22,116.66999816894533,4137.990234375
2022-08-23,115.5199966430664,4128.72998046875
2022-08-24,115.8000030517578,4140.77001953125
2022-08-25,118.5500030517578,4199.1201171875
2022-08-26,114.66999816894533,4057.659912109375
2022-08-29,114.38999938964844,4030.610107421875
2022-08-30,114.41000366210938,3986.159912109375
2022-08-31,113.7300033569336,3955.0
2022-09-01,114.51000213623048,3966.85009765625
2022-09-02,113.70999908447266,3924.260009765625
2022-09-06,113.73999786376952,3908.18994140625
2022-09-07,115.9000015258789,3979.8701171875
2022-09-08,118.5999984741211,4006.179931640625
2022-09-09,119.16999816894533,4067.360107421875

Indicator data:
Answer: 0.2161