Question: What was Lilly (Eli)'s VaR (Parametric) during the period June 11, 2023 to May 21, 2024? (1-day VaR; loss expressed as a positive number; assumes normality; default confidence 95%) 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: VaR_c = \Phi^{-1}(c) * \sigma(r) - \mu(r)
Data:
date,close
2023-06-09,446.0400085449219
2023-06-12,445.30999755859375
2023-06-13,445.7200012207031
2023-06-14,447.7200012207031
2023-06-15,453.9299926757813
2023-06-16,447.7099914550781
2023-06-20,451.9500122070313
2023-06-21,453.0
2023-06-22,457.6799926757813
2023-06-23,458.8399963378906
2023-06-26,452.760009765625
2023-06-27,464.5
2023-06-28,458.7000122070313
2023-06-29,464.489990234375
2023-06-30,468.9800109863281
2023-07-03,461.4200134277344
2023-07-05,465.7000122070313
2023-07-06,463.2099914550781
2023-07-07,452.0799865722656
2023-07-10,453.1600036621094
2023-07-11,439.3900146484375
2023-07-12,440.6000061035156
2023-07-13,434.7000122070313
2023-07-14,449.4599914550781
2023-07-17,447.1400146484375
2023-07-18,451.2000122070313
2023-07-19,453.55999755859375
2023-07-20,463.8200073242188
2023-07-21,462.0400085449219
2023-07-24,459.3200073242188
2023-07-25,457.5400085449219
2023-07-26,453.5899963378906
2023-07-27,454.989990234375
2023-07-28,458.4800109863281
2023-07-31,454.5499877929688
2023-08-01,453.0899963378906
2023-08-02,454.4800109863281
2023-08-03,449.1600036621094
2023-08-04,449.489990234375
2023-08-07,454.0799865722656
2023-08-08,521.5999755859375
2023-08-09,526.22998046875
2023-08-10,521.3400268554688
2023-08-11,528.280029296875
2023-08-14,538.0
2023-08-15,546.6199951171875
2023-08-16,546.239990234375
2023-08-17,537.6599731445312
2023-08-18,546.4299926757812
2023-08-21,550.0499877929688
2023-08-22,553.6599731445312
2023-08-23,553.3599853515625
2023-08-24,548.0
2023-08-25,553.6500244140625
2023-08-28,553.9199829101562
2023-08-29,553.9000244140625
2023-08-30,547.989990234375
2023-08-31,554.2000122070312
2023-09-01,557.1099853515625
2023-09-05,558.1900024414062
2023-09-06,559.9500122070312
2023-09-07,573.22998046875
2023-09-08,586.4600219726562
2023-09-11,595.5599975585938
2023-09-12,599.2999877929688
2023-09-13,598.8800048828125
2023-09-14,591.6099853515625
2023-09-15,575.6599731445312
2023-09-18,571.280029296875
2023-09-19,574.9600219726562
2023-09-20,569.6400146484375
2023-09-21,550.1300048828125
2023-09-22,550.5399780273438
2023-09-25,552.2899780273438
2023-09-26,550.010009765625
2023-09-27,549.760009765625
2023-09-28,544.4500122070312
2023-09-29,537.1300048828125
2023-10-02,538.2899780273438
2023-10-03,525.1900024414062
2023-10-04,531.4600219726562
2023-10-05,541.47998046875
2023-10-06,565.219970703125
2023-10-09,571.760009765625
2023-10-10,579.3099975585938
2023-10-11,605.280029296875
2023-10-12,610.5
2023-10-13,609.2000122070312
2023-10-16,616.6400146484375
2023-10-17,608.3099975585938
2023-10-18,607.239990234375
2023-10-19,590.7999877929688
2023-10-20,584.6400146484375
2023-10-23,576.6500244140625
2023-10-24,592.4299926757812
2023-10-25,586.4600219726562
2023-10-26,568.0999755859375
2023-10-27,560.22998046875
2023-10-30,565.7100219726562
2023-10-31,553.9299926757812
2023-11-01,554.4600219726562
2023-11-02,580.2899780273438
2023-11-03,567.8099975585938
2023-11-06,595.1900024414062
2023-11-07,599.9299926757812
2023-11-08,619.1300048828125
2023-11-09,591.3200073242188
2023-11-10,597.7100219726562
2023-11-13,612.7100219726562
2023-11-14,610.8200073242188
2023-11-15,588.5399780273438
2023-11-16,588.75
2023-11-17,591.7100219726562
2023-11-20,597.5999755859375
2023-11-21,592.5999755859375
2023-11-22,595.0900268554688
2023-11-24,601.0999755859375
2023-11-27,591.530029296875
2023-11-28,591.5999755859375
2023-11-29,591.8599853515625
2023-11-30,591.0399780273438
2023-12-01,584.0399780273438
2023-12-04,585.6799926757812
2023-12-05,588.1500244140625
2023-12-06,589.25
2023-12-07,588.27001953125
2023-12-08,598.0499877929688
2023-12-11,584.0399780273438
2023-12-12,584.760009765625
2023-12-13,597.5
2023-12-14,573.6699829101562
2023-12-15,572.0399780273438
2023-12-18,579.760009765625
2023-12-19,579.8099975585938
2023-12-20,570.2100219726562
2023-12-21,572.0
2023-12-22,570.3900146484375
2023-12-26,570.6699829101562
2023-12-27,581.510009765625
2023-12-28,580.8499755859375
2023-12-29,582.9199829101562
2024-01-02,592.2000122070312
2024-01-03,617.7000122070312
2024-01-04,614.5
2024-01-05,618.5499877929688
2024-01-08,626.030029296875
2024-01-09,625.47998046875
2024-01-10,630.1900024414062
2024-01-11,635.719970703125
2024-01-12,642.9199829101562
2024-01-16,634.5700073242188
2024-01-17,628.9099731445312
2024-01-18,623.3499755859375
2024-01-19,628.5800170898438
2024-01-22,630.8800048828125
2024-01-23,629.6799926757812
2024-01-24,633.7000122070312
2024-01-25,627.6199951171875
2024-01-26,639.25
2024-01-29,645.0
2024-01-30,644.97998046875
2024-01-31,645.6099853515625
2024-02-01,660.4299926757812
2024-02-02,667.6500244140625
2024-02-05,706.2000122070312
2024-02-06,705.030029296875
2024-02-07,725.3800048828125
2024-02-08,735.6799926757812
2024-02-09,740.1599731445312
2024-02-12,737.260009765625
2024-02-13,742.969970703125
2024-02-14,757.3099975585938
2024-02-15,757.780029296875
2024-02-16,782.0599975585938
2024-02-20,755.6599731445312
2024-02-21,745.9099731445312
2024-02-22,769.6400146484375
2024-02-23,769.5399780273438
2024-02-26,771.9199829101562
2024-02-27,765.0
2024-02-28,757.6400146484375
2024-02-29,753.6799926757812
2024-03-01,782.1199951171875
2024-03-04,792.280029296875
2024-03-05,777.5900268554688
2024-03-06,779.77001953125
2024-03-07,780.1599731445312
2024-03-08,762.1400146484375
2024-03-11,734.3699951171875
2024-03-12,754.9500122070312
2024-03-13,757.8400268554688
2024-03-14,760.72998046875
2024-03-15,754.1699829101562
2024-03-18,762.6599731445312
2024-03-19,772.780029296875
2024-03-20,772.8599853515625
2024-03-21,770.260009765625
2024-03-22,770.6099853515625
2024-03-25,773.1400146484375
2024-03-26,774.9000244140625
2024-03-27,778.1799926757812
2024-03-28,777.9600219726562
2024-04-01,760.5499877929688
2024-04-02,763.9600219726562
2024-04-03,775.989990234375
2024-04-04,768.0800170898438
2024-04-05,784.2100219726562
2024-04-08,777.2899780273438
2024-04-09,757.239990234375
2024-04-10,761.97998046875
2024-04-11,759.5900268554688
2024-04-12,751.6400146484375
2024-04-15,750.77001953125
2024-04-16,746.739990234375
2024-04-17,750.77001953125
2024-04-18,745.9500122070312
2024-04-19,726.3099975585938
2024-04-22,731.3300170898438
2024-04-23,745.6900024414062
2024-04-24,732.2000122070312
2024-04-25,724.8699951171875
2024-04-26,733.510009765625
2024-04-29,737.2000122070312
2024-04-30,781.0999755859375
2024-05-01,776.75
2024-05-02,755.9099731445312
2024-05-03,734.969970703125
2024-05-06,766.6799926757812
2024-05-07,777.77001953125
2024-05-08,775.0
2024-05-09,771.5499877929688
2024-05-10,760.0
2024-05-13,757.7000122070312
2024-05-14,763.97998046875
2024-05-15,787.02001953125
2024-05-16,771.1199951171875
2024-05-17,770.0
2024-05-20,783.1799926757812
2024-05-21,803.1699829101562

Indicator data:
Answer: 0.029