TIINDIA
Tube Invest Of India Ltd
Historical option data for TIINDIA
14 Jan 2026 04:13 PM IST
| TIINDIA 27-JAN-2026 2500 CE | ||||||||||||||||
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Delta: 0.15
Vega: 1.01
Theta: -1.2
Gamma: 0
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| Date | Close | Ltp | Change | IV | Volume | OI Chg | OI | |||||||||
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| 14 Jan | 2354.80 | 9.25 | -7.6 | 28.47 | 752 | 78 | 680 | |||||||||
| 13 Jan | 2387.30 | 16.3 | -9.2 | 28.45 | 1,240 | 129 | 598 | |||||||||
| 12 Jan | 2408.70 | 24.8 | -16.15 | 29.01 | 1,548 | 135 | 468 | |||||||||
| 9 Jan | 2452.50 | 39 | -34.15 | 25.53 | 1,352 | 116 | 339 | |||||||||
| 8 Jan | 2507.50 | 69 | -14.4 | 26.5 | 392 | 29 | 224 | |||||||||
| 7 Jan | 2527.40 | 83.1 | -19.8 | 25.46 | 264 | 102 | 197 | |||||||||
| 6 Jan | 2549.00 | 103.25 | 9.9 | 27.5 | 191 | 26 | 101 | |||||||||
| 5 Jan | 2530.00 | 90 | -45 | 26.48 | 126 | 67 | 74 | |||||||||
| 2 Jan | 2597.70 | 135 | -27 | 20.03 | 5 | 3 | 6 | |||||||||
| 1 Jan | 2622.90 | 162 | 36 | 23.75 | 3 | 0 | 3 | |||||||||
| 31 Dec | 2614.10 | 126 | -46 | - | 0 | 2 | 0 | |||||||||
| 30 Dec | 2565.40 | 126 | -46 | 26.43 | 2 | 1 | 2 | |||||||||
| 29 Dec | 2606.20 | 172 | -528.3 | - | 0 | 0 | 1 | |||||||||
| 26 Dec | 2600.80 | 172 | -528.3 | - | 0 | 0 | 1 | |||||||||
| 24 Dec | 2595.70 | 172 | -528.3 | - | 0 | 0 | 1 | |||||||||
| 23 Dec | 2597.40 | 172 | -528.3 | 32.24 | 1 | 0 | 0 | |||||||||
| 22 Dec | 2597.70 | 700.3 | 0 | - | 0 | 0 | 0 | |||||||||
| 19 Dec | 2634.90 | 700.3 | 0 | - | 0 | 0 | 0 | |||||||||
| 18 Dec | 2579.90 | 700.3 | 0 | - | 0 | 0 | 0 | |||||||||
| 17 Dec | 2614.10 | 700.3 | 0 | - | 0 | 0 | 0 | |||||||||
| 16 Dec | 2622.40 | 700.3 | 0 | - | 0 | 0 | 0 | |||||||||
| 15 Dec | 2647.70 | 700.3 | 0 | - | 0 | 0 | 0 | |||||||||
| 12 Dec | 2655.60 | 700.3 | 0 | - | 0 | 0 | 0 | |||||||||
| 11 Dec | 2651.10 | 700.3 | 0 | - | 0 | 0 | 0 | |||||||||
| 10 Dec | 2627.90 | 700.3 | 0 | - | 0 | 0 | 0 | |||||||||
| 9 Dec | 2655.40 | 700.3 | - | - | 0 | 0 | 0 | |||||||||
| 8 Dec | 2566.80 | - | - | - | 0 | 0 | 0 | |||||||||
| 5 Dec | 2666.70 | - | - | - | 0 | 0 | 0 | |||||||||
| 4 Dec | 2703.60 | - | - | - | 0 | 0 | 0 | |||||||||
| 3 Dec | 2740.50 | 700.3 | 0 | - | 0 | 0 | 0 | |||||||||
| 26 Nov | 2880.70 | - | - | - | 0 | 0 | 0 | |||||||||
| 25 Nov | 2879.70 | - | - | - | 0 | 0 | 0 | |||||||||
| 24 Nov | 2909.30 | 0 | 0 | - | 0 | 0 | 0 | |||||||||
| 21 Nov | 2884.40 | 0 | 0 | - | 0 | 0 | 0 | |||||||||
| 20 Nov | 3005.00 | - | - | - | 0 | 0 | 0 | |||||||||
| 11 Nov | 2999.40 | 0 | 0 | - | 0 | 0 | 0 | |||||||||
| 10 Nov | 2980.30 | 0 | 0 | - | 0 | 0 | 0 | |||||||||
| 7 Nov | 2985.60 | 0 | 0 | - | 0 | 0 | 0 | |||||||||
| 6 Nov | 2977.60 | 0 | 0 | - | 0 | 0 | 0 | |||||||||
| 4 Nov | 2992.50 | 0 | 0 | - | 0 | 0 | 0 | |||||||||
For Tube Invest Of India Ltd - strike price 2500 expiring on 27JAN2026
Delta for 2500 CE is 0.15
Historical price for 2500 CE is as follows
On 14 Jan TIINDIA was trading at 2354.80. The strike last trading price was 9.25, which was -7.6 lower than the previous day. The implied volatity was 28.47, the open interest changed by 78 which increased total open position to 680
On 13 Jan TIINDIA was trading at 2387.30. The strike last trading price was 16.3, which was -9.2 lower than the previous day. The implied volatity was 28.45, the open interest changed by 129 which increased total open position to 598
On 12 Jan TIINDIA was trading at 2408.70. The strike last trading price was 24.8, which was -16.15 lower than the previous day. The implied volatity was 29.01, the open interest changed by 135 which increased total open position to 468
On 9 Jan TIINDIA was trading at 2452.50. The strike last trading price was 39, which was -34.15 lower than the previous day. The implied volatity was 25.53, the open interest changed by 116 which increased total open position to 339
On 8 Jan TIINDIA was trading at 2507.50. The strike last trading price was 69, which was -14.4 lower than the previous day. The implied volatity was 26.5, the open interest changed by 29 which increased total open position to 224
On 7 Jan TIINDIA was trading at 2527.40. The strike last trading price was 83.1, which was -19.8 lower than the previous day. The implied volatity was 25.46, the open interest changed by 102 which increased total open position to 197
On 6 Jan TIINDIA was trading at 2549.00. The strike last trading price was 103.25, which was 9.9 higher than the previous day. The implied volatity was 27.5, the open interest changed by 26 which increased total open position to 101
On 5 Jan TIINDIA was trading at 2530.00. The strike last trading price was 90, which was -45 lower than the previous day. The implied volatity was 26.48, the open interest changed by 67 which increased total open position to 74
On 2 Jan TIINDIA was trading at 2597.70. The strike last trading price was 135, which was -27 lower than the previous day. The implied volatity was 20.03, the open interest changed by 3 which increased total open position to 6
On 1 Jan TIINDIA was trading at 2622.90. The strike last trading price was 162, which was 36 higher than the previous day. The implied volatity was 23.75, the open interest changed by 0 which decreased total open position to 3
On 31 Dec TIINDIA was trading at 2614.10. The strike last trading price was 126, which was -46 lower than the previous day. The implied volatity was -, the open interest changed by 2 which increased total open position to 0
On 30 Dec TIINDIA was trading at 2565.40. The strike last trading price was 126, which was -46 lower than the previous day. The implied volatity was 26.43, the open interest changed by 1 which increased total open position to 2
On 29 Dec TIINDIA was trading at 2606.20. The strike last trading price was 172, which was -528.3 lower than the previous day. The implied volatity was -, the open interest changed by 0 which decreased total open position to 1
On 26 Dec TIINDIA was trading at 2600.80. The strike last trading price was 172, which was -528.3 lower than the previous day. The implied volatity was -, the open interest changed by 0 which decreased total open position to 1
On 24 Dec TIINDIA was trading at 2595.70. The strike last trading price was 172, which was -528.3 lower than the previous day. The implied volatity was -, the open interest changed by 0 which decreased total open position to 1
On 23 Dec TIINDIA was trading at 2597.40. The strike last trading price was 172, which was -528.3 lower than the previous day. The implied volatity was 32.24, the open interest changed by 0 which decreased total open position to 0
On 22 Dec TIINDIA was trading at 2597.70. The strike last trading price was 700.3, 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 Dec TIINDIA was trading at 2634.90. The strike last trading price was 700.3, 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 Dec TIINDIA was trading at 2579.90. The strike last trading price was 700.3, 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 Dec TIINDIA was trading at 2614.10. The strike last trading price was 700.3, 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 Dec TIINDIA was trading at 2622.40. The strike last trading price was 700.3, 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 Dec TIINDIA was trading at 2647.70. The strike last trading price was 700.3, 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 12 Dec TIINDIA was trading at 2655.60. The strike last trading price was 700.3, 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 Dec TIINDIA was trading at 2651.10. The strike last trading price was 700.3, 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 Dec TIINDIA was trading at 2627.90. The strike last trading price was 700.3, 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 Dec TIINDIA was trading at 2655.40. The strike last trading price was 700.3, which was - lower than the previous day. The implied volatity was -, the open interest changed by 0 which decreased total open position to 0
On 8 Dec TIINDIA was trading at 2566.80. The strike last trading price was -, which was - lower than the previous day. The implied volatity was -, the open interest changed by 0 which decreased total open position to 0
On 5 Dec TIINDIA was trading at 2666.70. The strike last trading price was -, which was - lower than the previous day. The implied volatity was -, the open interest changed by 0 which decreased total open position to 0
On 4 Dec TIINDIA was trading at 2703.60. The strike last trading price was -, which was - lower than the previous day. The implied volatity was -, the open interest changed by 0 which decreased total open position to 0
On 3 Dec TIINDIA was trading at 2740.50. The strike last trading price was 700.3, 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 TIINDIA was trading at 2880.70. The strike last trading price was -, which was - 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 TIINDIA was trading at 2879.70. The strike last trading price was -, which was - 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 TIINDIA was trading at 2909.30. 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 21 Nov TIINDIA was trading at 2884.40. 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 20 Nov TIINDIA was trading at 3005.00. The strike last trading price was -, which was - 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 TIINDIA was trading at 2999.40. 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 10 Nov TIINDIA was trading at 2980.30. 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 7 Nov TIINDIA was trading at 2985.60. 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 6 Nov TIINDIA was trading at 2977.60. 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 4 Nov TIINDIA was trading at 2992.50. 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
| TIINDIA 27JAN2026 2500 PE | |||||||
|---|---|---|---|---|---|---|---|
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Delta: -0.88
Vega: 0.91
Theta: -0.31
Gamma: 0
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| Date | Close | Ltp | Change | IV | Volume | OI Chg | OI |
| 14 Jan | 2354.80 | 147.6 | 21.1 | 26.12 | 30 | -11 | 1,099 |
| 13 Jan | 2387.30 | 126.5 | 14.6 | 29.58 | 53 | -24 | 1,097 |
| 12 Jan | 2408.70 | 107.85 | 23.15 | 28.17 | 317 | -43 | 1,110 |
| 9 Jan | 2452.50 | 86.2 | 26.95 | 30.01 | 694 | -31 | 1,156 |
| 8 Jan | 2507.50 | 59.45 | 11.75 | 29.75 | 961 | 343 | 1,188 |
| 7 Jan | 2527.40 | 49 | 9.2 | 29.07 | 699 | -102 | 845 |
| 6 Jan | 2549.00 | 39.75 | -9.3 | 27.83 | 601 | -9 | 938 |
| 5 Jan | 2530.00 | 49 | 23.9 | 28.18 | 1,617 | 619 | 948 |
| 2 Jan | 2597.70 | 24.65 | 3 | 26.06 | 130 | 44 | 328 |
| 1 Jan | 2622.90 | 20.35 | -4.4 | 25.94 | 137 | 19 | 290 |
| 31 Dec | 2614.10 | 24 | -14.9 | 25.77 | 332 | -56 | 271 |
| 30 Dec | 2565.40 | 39.3 | 5.8 | 27 | 773 | 111 | 329 |
| 29 Dec | 2606.20 | 36 | 0.25 | 28.9 | 82 | 28 | 217 |
| 26 Dec | 2600.80 | 34.55 | -9.45 | 26.83 | 88 | -1 | 185 |
| 24 Dec | 2595.70 | 43.9 | -0.05 | 29.66 | 52 | -1 | 186 |
| 23 Dec | 2597.40 | 44.15 | -1.2 | 29.35 | 78 | 13 | 188 |
| 22 Dec | 2597.70 | 46.4 | 10.3 | 29.58 | 189 | 76 | 175 |
| 19 Dec | 2634.90 | 36.25 | -15.25 | 28.59 | 69 | 47 | 99 |
| 18 Dec | 2579.90 | 53 | 4.05 | 28.68 | 28 | 21 | 51 |
| 17 Dec | 2614.10 | 48.8 | -1.2 | 30.67 | 14 | 4 | 30 |
| 16 Dec | 2622.40 | 50 | 8 | 31.14 | 5 | -1 | 26 |
| 15 Dec | 2647.70 | 42 | -1.95 | 30.89 | 8 | 5 | 26 |
| 12 Dec | 2655.60 | 43.95 | -4.7 | 30.52 | 3 | 0 | 20 |
| 11 Dec | 2651.10 | 48.65 | -5.35 | 31.92 | 13 | 6 | 18 |
| 10 Dec | 2627.90 | 54 | 16.95 | 30.56 | 29 | 12 | 12 |
| 9 Dec | 2655.40 | 37.05 | - | - | 0 | 0 | 0 |
| 8 Dec | 2566.80 | - | - | - | 0 | 0 | 0 |
| 5 Dec | 2666.70 | - | - | - | 0 | 0 | 0 |
| 4 Dec | 2703.60 | - | - | - | 0 | 0 | 0 |
| 3 Dec | 2740.50 | 37.05 | 0 | 6.92 | 0 | 0 | 0 |
| 26 Nov | 2880.70 | - | - | - | 0 | 0 | 0 |
| 25 Nov | 2879.70 | - | - | - | 0 | 0 | 0 |
| 24 Nov | 2909.30 | 0 | 0 | - | 0 | 0 | 0 |
| 21 Nov | 2884.40 | 0 | 0 | - | 0 | 0 | 0 |
| 20 Nov | 3005.00 | - | - | - | 0 | 0 | 0 |
| 11 Nov | 2999.40 | 0 | 0 | - | 0 | 0 | 0 |
| 10 Nov | 2980.30 | 0 | 0 | - | 0 | 0 | 0 |
| 7 Nov | 2985.60 | 0 | 0 | - | 0 | 0 | 0 |
| 6 Nov | 2977.60 | 0 | 0 | - | 0 | 0 | 0 |
| 4 Nov | 2992.50 | 0 | 0 | - | 0 | 0 | 0 |
For Tube Invest Of India Ltd - strike price 2500 expiring on 27JAN2026
Delta for 2500 PE is -0.88
Historical price for 2500 PE is as follows
On 14 Jan TIINDIA was trading at 2354.80. The strike last trading price was 147.6, which was 21.1 higher than the previous day. The implied volatity was 26.12, the open interest changed by -11 which decreased total open position to 1099
On 13 Jan TIINDIA was trading at 2387.30. The strike last trading price was 126.5, which was 14.6 higher than the previous day. The implied volatity was 29.58, the open interest changed by -24 which decreased total open position to 1097
On 12 Jan TIINDIA was trading at 2408.70. The strike last trading price was 107.85, which was 23.15 higher than the previous day. The implied volatity was 28.17, the open interest changed by -43 which decreased total open position to 1110
On 9 Jan TIINDIA was trading at 2452.50. The strike last trading price was 86.2, which was 26.95 higher than the previous day. The implied volatity was 30.01, the open interest changed by -31 which decreased total open position to 1156
On 8 Jan TIINDIA was trading at 2507.50. The strike last trading price was 59.45, which was 11.75 higher than the previous day. The implied volatity was 29.75, the open interest changed by 343 which increased total open position to 1188
On 7 Jan TIINDIA was trading at 2527.40. The strike last trading price was 49, which was 9.2 higher than the previous day. The implied volatity was 29.07, the open interest changed by -102 which decreased total open position to 845
On 6 Jan TIINDIA was trading at 2549.00. The strike last trading price was 39.75, which was -9.3 lower than the previous day. The implied volatity was 27.83, the open interest changed by -9 which decreased total open position to 938
On 5 Jan TIINDIA was trading at 2530.00. The strike last trading price was 49, which was 23.9 higher than the previous day. The implied volatity was 28.18, the open interest changed by 619 which increased total open position to 948
On 2 Jan TIINDIA was trading at 2597.70. The strike last trading price was 24.65, which was 3 higher than the previous day. The implied volatity was 26.06, the open interest changed by 44 which increased total open position to 328
On 1 Jan TIINDIA was trading at 2622.90. The strike last trading price was 20.35, which was -4.4 lower than the previous day. The implied volatity was 25.94, the open interest changed by 19 which increased total open position to 290
On 31 Dec TIINDIA was trading at 2614.10. The strike last trading price was 24, which was -14.9 lower than the previous day. The implied volatity was 25.77, the open interest changed by -56 which decreased total open position to 271
On 30 Dec TIINDIA was trading at 2565.40. The strike last trading price was 39.3, which was 5.8 higher than the previous day. The implied volatity was 27, the open interest changed by 111 which increased total open position to 329
On 29 Dec TIINDIA was trading at 2606.20. The strike last trading price was 36, which was 0.25 higher than the previous day. The implied volatity was 28.9, the open interest changed by 28 which increased total open position to 217
On 26 Dec TIINDIA was trading at 2600.80. The strike last trading price was 34.55, which was -9.45 lower than the previous day. The implied volatity was 26.83, the open interest changed by -1 which decreased total open position to 185
On 24 Dec TIINDIA was trading at 2595.70. The strike last trading price was 43.9, which was -0.05 lower than the previous day. The implied volatity was 29.66, the open interest changed by -1 which decreased total open position to 186
On 23 Dec TIINDIA was trading at 2597.40. The strike last trading price was 44.15, which was -1.2 lower than the previous day. The implied volatity was 29.35, the open interest changed by 13 which increased total open position to 188
On 22 Dec TIINDIA was trading at 2597.70. The strike last trading price was 46.4, which was 10.3 higher than the previous day. The implied volatity was 29.58, the open interest changed by 76 which increased total open position to 175
On 19 Dec TIINDIA was trading at 2634.90. The strike last trading price was 36.25, which was -15.25 lower than the previous day. The implied volatity was 28.59, the open interest changed by 47 which increased total open position to 99
On 18 Dec TIINDIA was trading at 2579.90. The strike last trading price was 53, which was 4.05 higher than the previous day. The implied volatity was 28.68, the open interest changed by 21 which increased total open position to 51
On 17 Dec TIINDIA was trading at 2614.10. The strike last trading price was 48.8, which was -1.2 lower than the previous day. The implied volatity was 30.67, the open interest changed by 4 which increased total open position to 30
On 16 Dec TIINDIA was trading at 2622.40. The strike last trading price was 50, which was 8 higher than the previous day. The implied volatity was 31.14, the open interest changed by -1 which decreased total open position to 26
On 15 Dec TIINDIA was trading at 2647.70. The strike last trading price was 42, which was -1.95 lower than the previous day. The implied volatity was 30.89, the open interest changed by 5 which increased total open position to 26
On 12 Dec TIINDIA was trading at 2655.60. The strike last trading price was 43.95, which was -4.7 lower than the previous day. The implied volatity was 30.52, the open interest changed by 0 which decreased total open position to 20
On 11 Dec TIINDIA was trading at 2651.10. The strike last trading price was 48.65, which was -5.35 lower than the previous day. The implied volatity was 31.92, the open interest changed by 6 which increased total open position to 18
On 10 Dec TIINDIA was trading at 2627.90. The strike last trading price was 54, which was 16.95 higher than the previous day. The implied volatity was 30.56, the open interest changed by 12 which increased total open position to 12
On 9 Dec TIINDIA was trading at 2655.40. The strike last trading price was 37.05, which was - lower than the previous day. The implied volatity was -, the open interest changed by 0 which decreased total open position to 0
On 8 Dec TIINDIA was trading at 2566.80. The strike last trading price was -, which was - lower than the previous day. The implied volatity was -, the open interest changed by 0 which decreased total open position to 0
On 5 Dec TIINDIA was trading at 2666.70. The strike last trading price was -, which was - lower than the previous day. The implied volatity was -, the open interest changed by 0 which decreased total open position to 0
On 4 Dec TIINDIA was trading at 2703.60. The strike last trading price was -, which was - lower than the previous day. The implied volatity was -, the open interest changed by 0 which decreased total open position to 0
On 3 Dec TIINDIA was trading at 2740.50. The strike last trading price was 37.05, which was 0 lower than the previous day. The implied volatity was 6.92, the open interest changed by 0 which decreased total open position to 0
On 26 Nov TIINDIA was trading at 2880.70. The strike last trading price was -, which was - 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 TIINDIA was trading at 2879.70. The strike last trading price was -, which was - 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 TIINDIA was trading at 2909.30. 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 21 Nov TIINDIA was trading at 2884.40. 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 20 Nov TIINDIA was trading at 3005.00. The strike last trading price was -, which was - 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 TIINDIA was trading at 2999.40. 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 10 Nov TIINDIA was trading at 2980.30. 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 7 Nov TIINDIA was trading at 2985.60. 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 6 Nov TIINDIA was trading at 2977.60. 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 4 Nov TIINDIA was trading at 2992.50. 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































































































































































































































