LODHA
Macrotech Developers Ltd
Historical option data for LODHA
10 Dec 2025 04:12 PM IST
| LODHA 30-DEC-2025 1120 CE | ||||||||||||||||
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Delta: 0.26
Vega: 0.82
Theta: -0.60
Gamma: 0.01
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| Date | Close | Ltp | Change | IV | Volume | OI Chg | OI | |||||||||
| 10 Dec | 1072.30 | 10 | -1.9 | 25.82 | 857 | 12 | 622 | |||||||||
| 9 Dec | 1076.00 | 11.8 | -0.3 | 24.59 | 620 | 46 | 614 | |||||||||
| 8 Dec | 1072.00 | 11.9 | -15.4 | 25.98 | 971 | 62 | 565 | |||||||||
| 5 Dec | 1111.60 | 27 | -2.8 | 25.05 | 1,978 | 84 | 493 | |||||||||
| 4 Dec | 1109.50 | 29.1 | 1.35 | 26.60 | 1,460 | 69 | 409 | |||||||||
| 3 Dec | 1103.90 | 27 | -10.15 | 26.93 | 916 | 229 | 342 | |||||||||
| 2 Dec | 1119.80 | 36.65 | -6.45 | 26.39 | 379 | 100 | 110 | |||||||||
| 1 Dec | 1128.20 | 42.2 | -82.35 | 26.96 | 17 | 9 | 9 | |||||||||
| 28 Nov | 1148.20 | 124.55 | 0 | - | 0 | 0 | 0 | |||||||||
| 27 Nov | 1156.60 | 124.55 | 0 | - | 0 | 0 | 0 | |||||||||
| 26 Nov | 1163.60 | 124.55 | 0 | - | 0 | 0 | 0 | |||||||||
| 25 Nov | 1160.20 | 124.55 | 0 | - | 0 | 0 | 0 | |||||||||
| 24 Nov | 1159.90 | 124.55 | 0 | - | 0 | 0 | 0 | |||||||||
| 21 Nov | 1176.80 | 124.55 | 0 | - | 0 | 0 | 0 | |||||||||
| 20 Nov | 1200.80 | 124.55 | 0 | - | 0 | 0 | 0 | |||||||||
| 19 Nov | 1202.00 | 124.55 | 0 | - | 0 | 0 | 0 | |||||||||
| 18 Nov | 1192.00 | 124.55 | 0 | - | 0 | 0 | 0 | |||||||||
| 13 Nov | 1217.60 | 124.55 | 0 | - | 0 | 0 | 0 | |||||||||
| 11 Nov | 1221.00 | 124.55 | 0 | - | 0 | 0 | 0 | |||||||||
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| 10 Nov | 1206.10 | 124.55 | 0 | - | 0 | 0 | 0 | |||||||||
| 7 Nov | 1226.60 | 124.55 | 0 | - | 0 | 0 | 0 | |||||||||
| 6 Nov | 1232.50 | 124.55 | 0 | - | 0 | 0 | 0 | |||||||||
| 4 Nov | 1222.90 | 124.55 | 0 | - | 0 | 0 | 0 | |||||||||
| 29 Oct | 1179.20 | 124.55 | 0 | - | 0 | 0 | 0 | |||||||||
| 28 Oct | 1169.00 | 124.55 | 0 | - | 0 | 0 | 0 | |||||||||
| 27 Oct | 1177.00 | 124.55 | 0 | - | 0 | 0 | 0 | |||||||||
| 24 Oct | 1172.90 | 124.55 | 0 | - | 0 | 0 | 0 | |||||||||
| 23 Oct | 1175.30 | 124.55 | 0 | - | 0 | 0 | 0 | |||||||||
| 21 Oct | 1184.80 | 124.55 | 0 | - | 0 | 0 | 0 | |||||||||
| 20 Oct | 1185.60 | 124.55 | 0 | - | 0 | 0 | 0 | |||||||||
| 17 Oct | 1186.90 | 124.55 | 0 | - | 0 | 0 | 0 | |||||||||
| 16 Oct | 1194.80 | 124.55 | 0 | - | 0 | 0 | 0 | |||||||||
| 15 Oct | 1172.00 | 124.55 | 0 | - | 0 | 0 | 0 | |||||||||
| 14 Oct | 1142.00 | 124.55 | 0 | - | 0 | 0 | 0 | |||||||||
| 13 Oct | 1154.30 | 124.55 | 0 | - | 0 | 0 | 0 | |||||||||
| 10 Oct | 1155.90 | 124.55 | 0 | - | 0 | 0 | 0 | |||||||||
| 9 Oct | 1128.70 | 124.55 | 0 | - | 0 | 0 | 0 | |||||||||
| 7 Oct | 1145.00 | 124.55 | 0 | - | 0 | 0 | 0 | |||||||||
| 6 Oct | 1115.10 | 0 | 0 | - | 0 | 0 | 0 | |||||||||
| 3 Oct | 1113.00 | 0 | 0 | - | 0 | 0 | 0 | |||||||||
For Macrotech Developers Ltd - strike price 1120 expiring on 30DEC2025
Delta for 1120 CE is 0.26
Historical price for 1120 CE is as follows
On 10 Dec LODHA was trading at 1072.30. The strike last trading price was 10, which was -1.9 lower than the previous day. The implied volatity was 25.82, the open interest changed by 12 which increased total open position to 622
On 9 Dec LODHA was trading at 1076.00. The strike last trading price was 11.8, which was -0.3 lower than the previous day. The implied volatity was 24.59, the open interest changed by 46 which increased total open position to 614
On 8 Dec LODHA was trading at 1072.00. The strike last trading price was 11.9, which was -15.4 lower than the previous day. The implied volatity was 25.98, the open interest changed by 62 which increased total open position to 565
On 5 Dec LODHA was trading at 1111.60. The strike last trading price was 27, which was -2.8 lower than the previous day. The implied volatity was 25.05, the open interest changed by 84 which increased total open position to 493
On 4 Dec LODHA was trading at 1109.50. The strike last trading price was 29.1, which was 1.35 higher than the previous day. The implied volatity was 26.60, the open interest changed by 69 which increased total open position to 409
On 3 Dec LODHA was trading at 1103.90. The strike last trading price was 27, which was -10.15 lower than the previous day. The implied volatity was 26.93, the open interest changed by 229 which increased total open position to 342
On 2 Dec LODHA was trading at 1119.80. The strike last trading price was 36.65, which was -6.45 lower than the previous day. The implied volatity was 26.39, the open interest changed by 100 which increased total open position to 110
On 1 Dec LODHA was trading at 1128.20. The strike last trading price was 42.2, which was -82.35 lower than the previous day. The implied volatity was 26.96, the open interest changed by 9 which increased total open position to 9
On 28 Nov LODHA was trading at 1148.20. The strike last trading price was 124.55, which was 0 lower than the previous day. The implied volatity was -, the open interest changed by 0 which decreased total open position to 0
On 27 Nov LODHA was trading at 1156.60. The strike last trading price was 124.55, which was 0 lower than the previous day. The implied volatity was -, the open interest changed by 0 which decreased total open position to 0
On 26 Nov LODHA was trading at 1163.60. The strike last trading price was 124.55, which was 0 lower than the previous day. The implied volatity was -, the open interest changed by 0 which decreased total open position to 0
On 25 Nov LODHA was trading at 1160.20. The strike last trading price was 124.55, which was 0 lower than the previous day. The implied volatity was -, the open interest changed by 0 which decreased total open position to 0
On 24 Nov LODHA was trading at 1159.90. The strike last trading price was 124.55, which was 0 lower than the previous day. The implied volatity was -, the open interest changed by 0 which decreased total open position to 0
On 21 Nov LODHA was trading at 1176.80. The strike last trading price was 124.55, which was 0 lower than the previous day. The implied volatity was -, the open interest changed by 0 which decreased total open position to 0
On 20 Nov LODHA was trading at 1200.80. The strike last trading price was 124.55, which was 0 lower than the previous day. The implied volatity was -, the open interest changed by 0 which decreased total open position to 0
On 19 Nov LODHA was trading at 1202.00. The strike last trading price was 124.55, which was 0 lower than the previous day. The implied volatity was -, the open interest changed by 0 which decreased total open position to 0
On 18 Nov LODHA was trading at 1192.00. The strike last trading price was 124.55, which was 0 lower than the previous day. The implied volatity was -, the open interest changed by 0 which decreased total open position to 0
On 13 Nov LODHA was trading at 1217.60. The strike last trading price was 124.55, which was 0 lower than the previous day. The implied volatity was -, the open interest changed by 0 which decreased total open position to 0
On 11 Nov LODHA was trading at 1221.00. The strike last trading price was 124.55, which was 0 lower than the previous day. The implied volatity was -, the open interest changed by 0 which decreased total open position to 0
On 10 Nov LODHA was trading at 1206.10. The strike last trading price was 124.55, which was 0 lower than the previous day. The implied volatity was -, the open interest changed by 0 which decreased total open position to 0
On 7 Nov LODHA was trading at 1226.60. The strike last trading price was 124.55, which was 0 lower than the previous day. The implied volatity was -, the open interest changed by 0 which decreased total open position to 0
On 6 Nov LODHA was trading at 1232.50. The strike last trading price was 124.55, which was 0 lower than the previous day. The implied volatity was -, the open interest changed by 0 which decreased total open position to 0
On 4 Nov LODHA was trading at 1222.90. The strike last trading price was 124.55, which was 0 lower than the previous day. The implied volatity was -, the open interest changed by 0 which decreased total open position to 0
On 29 Oct LODHA was trading at 1179.20. The strike last trading price was 124.55, which was 0 lower than the previous day. The implied volatity was -, the open interest changed by 0 which decreased total open position to 0
On 28 Oct LODHA was trading at 1169.00. The strike last trading price was 124.55, which was 0 lower than the previous day. The implied volatity was -, the open interest changed by 0 which decreased total open position to 0
On 27 Oct LODHA was trading at 1177.00. The strike last trading price was 124.55, which was 0 lower than the previous day. The implied volatity was -, the open interest changed by 0 which decreased total open position to 0
On 24 Oct LODHA was trading at 1172.90. The strike last trading price was 124.55, which was 0 lower than the previous day. The implied volatity was -, the open interest changed by 0 which decreased total open position to 0
On 23 Oct LODHA was trading at 1175.30. The strike last trading price was 124.55, which was 0 lower than the previous day. The implied volatity was -, the open interest changed by 0 which decreased total open position to 0
On 21 Oct LODHA was trading at 1184.80. The strike last trading price was 124.55, which was 0 lower than the previous day. The implied volatity was -, the open interest changed by 0 which decreased total open position to 0
On 20 Oct LODHA was trading at 1185.60. The strike last trading price was 124.55, which was 0 lower than the previous day. The implied volatity was -, the open interest changed by 0 which decreased total open position to 0
On 17 Oct LODHA was trading at 1186.90. The strike last trading price was 124.55, which was 0 lower than the previous day. The implied volatity was -, the open interest changed by 0 which decreased total open position to 0
On 16 Oct LODHA was trading at 1194.80. The strike last trading price was 124.55, which was 0 lower than the previous day. The implied volatity was -, the open interest changed by 0 which decreased total open position to 0
On 15 Oct LODHA was trading at 1172.00. The strike last trading price was 124.55, which was 0 lower than the previous day. The implied volatity was -, the open interest changed by 0 which decreased total open position to 0
On 14 Oct LODHA was trading at 1142.00. The strike last trading price was 124.55, which was 0 lower than the previous day. The implied volatity was -, the open interest changed by 0 which decreased total open position to 0
On 13 Oct LODHA was trading at 1154.30. The strike last trading price was 124.55, which was 0 lower than the previous day. The implied volatity was -, the open interest changed by 0 which decreased total open position to 0
On 10 Oct LODHA was trading at 1155.90. The strike last trading price was 124.55, which was 0 lower than the previous day. The implied volatity was -, the open interest changed by 0 which decreased total open position to 0
On 9 Oct LODHA was trading at 1128.70. The strike last trading price was 124.55, which was 0 lower than the previous day. The implied volatity was -, the open interest changed by 0 which decreased total open position to 0
On 7 Oct LODHA was trading at 1145.00. The strike last trading price was 124.55, which was 0 lower than the previous day. The implied volatity was -, the open interest changed by 0 which decreased total open position to 0
On 6 Oct LODHA was trading at 1115.10. The strike last trading price was 0, which was 0 lower than the previous day. The implied volatity was -, the open interest changed by 0 which decreased total open position to 0
On 3 Oct LODHA was trading at 1113.00. The strike last trading price was 0, which was 0 lower than the previous day. The implied volatity was -, the open interest changed by 0 which decreased total open position to 0
| LODHA 30DEC2025 1120 PE | |||||||
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Delta: -0.70
Vega: 0.87
Theta: -0.44
Gamma: 0.00
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| Date | Close | Ltp | Change | IV | Volume | OI Chg | OI |
| 10 Dec | 1072.30 | 57.65 | 6.6 | 30.29 | 85 | -3 | 170 |
| 9 Dec | 1076.00 | 51.45 | -5.3 | 29.01 | 38 | -19 | 174 |
| 8 Dec | 1072.00 | 56.1 | 26.5 | 29.18 | 234 | -19 | 193 |
| 5 Dec | 1111.60 | 29.7 | -3.15 | 23.79 | 332 | 43 | 216 |
| 4 Dec | 1109.50 | 33.2 | -2.95 | 26.05 | 237 | 50 | 173 |
| 3 Dec | 1103.90 | 37.7 | 8.4 | 26.47 | 212 | -6 | 122 |
| 2 Dec | 1119.80 | 29.55 | 2.5 | 27.09 | 450 | 85 | 126 |
| 1 Dec | 1128.20 | 27.7 | -64.1 | 27.74 | 178 | 44 | 44 |
| 28 Nov | 1148.20 | 91.8 | 0 | 3.34 | 0 | 0 | 0 |
| 27 Nov | 1156.60 | 91.8 | 0 | 3.81 | 0 | 0 | 0 |
| 26 Nov | 1163.60 | 91.8 | 0 | 4.22 | 0 | 0 | 0 |
| 25 Nov | 1160.20 | 91.8 | 0 | 4.02 | 0 | 0 | 0 |
| 24 Nov | 1159.90 | 91.8 | 0 | 3.91 | 0 | 0 | 0 |
| 21 Nov | 1176.80 | 91.8 | 0 | 5.00 | 0 | 0 | 0 |
| 20 Nov | 1200.80 | 91.8 | 0 | 6.59 | 0 | 0 | 0 |
| 19 Nov | 1202.00 | 91.8 | 0 | 6.40 | 0 | 0 | 0 |
| 18 Nov | 1192.00 | 91.8 | 0 | 5.67 | 0 | 0 | 0 |
| 13 Nov | 1217.60 | 91.8 | 0 | 7.04 | 0 | 0 | 0 |
| 11 Nov | 1221.00 | 91.8 | 0 | 7.17 | 0 | 0 | 0 |
| 10 Nov | 1206.10 | 91.8 | 0 | 6.46 | 0 | 0 | 0 |
| 7 Nov | 1226.60 | 91.8 | 0 | 7.45 | 0 | 0 | 0 |
| 6 Nov | 1232.50 | 91.8 | 0 | - | 0 | 0 | 0 |
| 4 Nov | 1222.90 | 91.8 | 0 | 6.99 | 0 | 0 | 0 |
| 29 Oct | 1179.20 | 91.8 | 0 | 4.67 | 0 | 0 | 0 |
| 28 Oct | 1169.00 | 91.8 | 0 | 4.25 | 0 | 0 | 0 |
| 27 Oct | 1177.00 | 91.8 | 0 | 4.58 | 0 | 0 | 0 |
| 24 Oct | 1172.90 | 91.8 | 0 | 4.21 | 0 | 0 | 0 |
| 23 Oct | 1175.30 | 91.8 | 0 | 4.31 | 0 | 0 | 0 |
| 21 Oct | 1184.80 | 91.8 | 0 | 4.58 | 0 | 0 | 0 |
| 20 Oct | 1185.60 | 91.8 | 0 | - | 0 | 0 | 0 |
| 17 Oct | 1186.90 | 91.8 | 0 | 4.75 | 0 | 0 | 0 |
| 16 Oct | 1194.80 | 91.8 | 0 | - | 0 | 0 | 0 |
| 15 Oct | 1172.00 | 91.8 | 0 | - | 0 | 0 | 0 |
| 14 Oct | 1142.00 | 91.8 | 0 | - | 0 | 0 | 0 |
| 13 Oct | 1154.30 | 91.8 | 0 | - | 0 | 0 | 0 |
| 10 Oct | 1155.90 | 91.8 | 0 | - | 0 | 0 | 0 |
| 9 Oct | 1128.70 | 91.8 | 0 | - | 0 | 0 | 0 |
| 7 Oct | 1145.00 | 91.8 | 0 | 2.46 | 0 | 0 | 0 |
| 6 Oct | 1115.10 | 0 | 0 | - | 0 | 0 | 0 |
| 3 Oct | 1113.00 | 0 | 0 | 1.10 | 0 | 0 | 0 |
For Macrotech Developers Ltd - strike price 1120 expiring on 30DEC2025
Delta for 1120 PE is -0.70
Historical price for 1120 PE is as follows
On 10 Dec LODHA was trading at 1072.30. The strike last trading price was 57.65, which was 6.6 higher than the previous day. The implied volatity was 30.29, the open interest changed by -3 which decreased total open position to 170
On 9 Dec LODHA was trading at 1076.00. The strike last trading price was 51.45, which was -5.3 lower than the previous day. The implied volatity was 29.01, the open interest changed by -19 which decreased total open position to 174
On 8 Dec LODHA was trading at 1072.00. The strike last trading price was 56.1, which was 26.5 higher than the previous day. The implied volatity was 29.18, the open interest changed by -19 which decreased total open position to 193
On 5 Dec LODHA was trading at 1111.60. The strike last trading price was 29.7, which was -3.15 lower than the previous day. The implied volatity was 23.79, the open interest changed by 43 which increased total open position to 216
On 4 Dec LODHA was trading at 1109.50. The strike last trading price was 33.2, which was -2.95 lower than the previous day. The implied volatity was 26.05, the open interest changed by 50 which increased total open position to 173
On 3 Dec LODHA was trading at 1103.90. The strike last trading price was 37.7, which was 8.4 higher than the previous day. The implied volatity was 26.47, the open interest changed by -6 which decreased total open position to 122
On 2 Dec LODHA was trading at 1119.80. The strike last trading price was 29.55, which was 2.5 higher than the previous day. The implied volatity was 27.09, the open interest changed by 85 which increased total open position to 126
On 1 Dec LODHA was trading at 1128.20. The strike last trading price was 27.7, which was -64.1 lower than the previous day. The implied volatity was 27.74, the open interest changed by 44 which increased total open position to 44
On 28 Nov LODHA was trading at 1148.20. The strike last trading price was 91.8, which was 0 lower than the previous day. The implied volatity was 3.34, the open interest changed by 0 which decreased total open position to 0
On 27 Nov LODHA was trading at 1156.60. The strike last trading price was 91.8, which was 0 lower than the previous day. The implied volatity was 3.81, the open interest changed by 0 which decreased total open position to 0
On 26 Nov LODHA was trading at 1163.60. The strike last trading price was 91.8, which was 0 lower than the previous day. The implied volatity was 4.22, the open interest changed by 0 which decreased total open position to 0
On 25 Nov LODHA was trading at 1160.20. The strike last trading price was 91.8, which was 0 lower than the previous day. The implied volatity was 4.02, the open interest changed by 0 which decreased total open position to 0
On 24 Nov LODHA was trading at 1159.90. The strike last trading price was 91.8, which was 0 lower than the previous day. The implied volatity was 3.91, the open interest changed by 0 which decreased total open position to 0
On 21 Nov LODHA was trading at 1176.80. The strike last trading price was 91.8, which was 0 lower than the previous day. The implied volatity was 5.00, the open interest changed by 0 which decreased total open position to 0
On 20 Nov LODHA was trading at 1200.80. The strike last trading price was 91.8, which was 0 lower than the previous day. The implied volatity was 6.59, the open interest changed by 0 which decreased total open position to 0
On 19 Nov LODHA was trading at 1202.00. The strike last trading price was 91.8, which was 0 lower than the previous day. The implied volatity was 6.40, the open interest changed by 0 which decreased total open position to 0
On 18 Nov LODHA was trading at 1192.00. The strike last trading price was 91.8, which was 0 lower than the previous day. The implied volatity was 5.67, the open interest changed by 0 which decreased total open position to 0
On 13 Nov LODHA was trading at 1217.60. The strike last trading price was 91.8, which was 0 lower than the previous day. The implied volatity was 7.04, the open interest changed by 0 which decreased total open position to 0
On 11 Nov LODHA was trading at 1221.00. The strike last trading price was 91.8, which was 0 lower than the previous day. The implied volatity was 7.17, the open interest changed by 0 which decreased total open position to 0
On 10 Nov LODHA was trading at 1206.10. The strike last trading price was 91.8, which was 0 lower than the previous day. The implied volatity was 6.46, the open interest changed by 0 which decreased total open position to 0
On 7 Nov LODHA was trading at 1226.60. The strike last trading price was 91.8, which was 0 lower than the previous day. The implied volatity was 7.45, the open interest changed by 0 which decreased total open position to 0
On 6 Nov LODHA was trading at 1232.50. The strike last trading price was 91.8, which was 0 lower than the previous day. The implied volatity was -, the open interest changed by 0 which decreased total open position to 0
On 4 Nov LODHA was trading at 1222.90. The strike last trading price was 91.8, which was 0 lower than the previous day. The implied volatity was 6.99, the open interest changed by 0 which decreased total open position to 0
On 29 Oct LODHA was trading at 1179.20. The strike last trading price was 91.8, which was 0 lower than the previous day. The implied volatity was 4.67, the open interest changed by 0 which decreased total open position to 0
On 28 Oct LODHA was trading at 1169.00. The strike last trading price was 91.8, which was 0 lower than the previous day. The implied volatity was 4.25, the open interest changed by 0 which decreased total open position to 0
On 27 Oct LODHA was trading at 1177.00. The strike last trading price was 91.8, which was 0 lower than the previous day. The implied volatity was 4.58, the open interest changed by 0 which decreased total open position to 0
On 24 Oct LODHA was trading at 1172.90. The strike last trading price was 91.8, which was 0 lower than the previous day. The implied volatity was 4.21, the open interest changed by 0 which decreased total open position to 0
On 23 Oct LODHA was trading at 1175.30. The strike last trading price was 91.8, which was 0 lower than the previous day. The implied volatity was 4.31, the open interest changed by 0 which decreased total open position to 0
On 21 Oct LODHA was trading at 1184.80. The strike last trading price was 91.8, which was 0 lower than the previous day. The implied volatity was 4.58, the open interest changed by 0 which decreased total open position to 0
On 20 Oct LODHA was trading at 1185.60. The strike last trading price was 91.8, which was 0 lower than the previous day. The implied volatity was -, the open interest changed by 0 which decreased total open position to 0
On 17 Oct LODHA was trading at 1186.90. The strike last trading price was 91.8, which was 0 lower than the previous day. The implied volatity was 4.75, the open interest changed by 0 which decreased total open position to 0
On 16 Oct LODHA was trading at 1194.80. The strike last trading price was 91.8, which was 0 lower than the previous day. The implied volatity was -, the open interest changed by 0 which decreased total open position to 0
On 15 Oct LODHA was trading at 1172.00. The strike last trading price was 91.8, which was 0 lower than the previous day. The implied volatity was -, the open interest changed by 0 which decreased total open position to 0
On 14 Oct LODHA was trading at 1142.00. The strike last trading price was 91.8, which was 0 lower than the previous day. The implied volatity was -, the open interest changed by 0 which decreased total open position to 0
On 13 Oct LODHA was trading at 1154.30. The strike last trading price was 91.8, which was 0 lower than the previous day. The implied volatity was -, the open interest changed by 0 which decreased total open position to 0
On 10 Oct LODHA was trading at 1155.90. The strike last trading price was 91.8, which was 0 lower than the previous day. The implied volatity was -, the open interest changed by 0 which decreased total open position to 0
On 9 Oct LODHA was trading at 1128.70. The strike last trading price was 91.8, which was 0 lower than the previous day. The implied volatity was -, the open interest changed by 0 which decreased total open position to 0
On 7 Oct LODHA was trading at 1145.00. The strike last trading price was 91.8, which was 0 lower than the previous day. The implied volatity was 2.46, the open interest changed by 0 which decreased total open position to 0
On 6 Oct LODHA was trading at 1115.10. The strike last trading price was 0, which was 0 lower than the previous day. The implied volatity was -, the open interest changed by 0 which decreased total open position to 0
On 3 Oct LODHA was trading at 1113.00. The strike last trading price was 0, which was 0 lower than the previous day. The implied volatity was 1.10, the open interest changed by 0 which decreased total open position to 0































































































































































































































