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MSFT / AAPL · Checked Oct 23, 09:56 EDT
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Daily option chain
Daily open interest
vs Oct 16, 2026 · Latest
Saved stock price: $5.92 · Expirations before Oct 19, 2026 hidden automatically.
ITM In the money
Unshaded: out of the money
ATM Strike equals stock price
Based on the saved stock price
352 contracts / 11 expirationsClick OI for history
·
Oct 23, 2026EXPIRATION46 contracts / 23 strikes
SAVED STOCK PRICE$5.92Nearest ATM strike $6.00
Jump to ATM | Calls | Strike | Puts | ||||||
|---|---|---|---|---|---|---|---|---|
| Prev OI | Open interest | Change | IV | Prev OI | Open interest | Change | IV | |
| 5 | 5In the money | 0 | 566.25% | 2.00 | 0 | 0 | 0New | 562.06% |
| 5 | 5In the money | 0 | 0.00% | 2.50 | 0 | 0 | 0New | 652.38% |
| 2 | 2In the money | 0 | 370.22% | 3.00 | 0 | 0 | 0New | 533.94% |
| 0 | 0In the money | 0New | 0.00% | 3.50 | 0 | 0 | 0New | 434.08% |
| 3 | 3In the money | 0 | 268.69% | 4.00 | 1 | 1 | 0 | 346.74% |
| 0 | 0In the money | 0New | 0.00% | 4.50 | 222 | 222 | 0 | 267.83% |
| 0 | 0In the money | 0New | 116.80% | 5.00 | 39 | 39 | 0 | 177.90% |
| 44 | 44In the money | 0 | 94.99% | 5.50 | 329 | 334 | +5 | 95.01% |
STOCK PRICE $5.92 | ||||||||
| 262 | 267 | +5 | 63.93% | 6.00NEAREST ATM | 117 | 117In the money | 0 | 64.05% |
| 54 | 54 | 0 | 72.06% | 6.50 | 19 | 19In the money | 0 | 104.46% |
| 10 | 10 | 0 | 110.41% | 7.00 | 21 | 21In the money | 0 | 150.31% |
| 5 | 5 | 0 | 205.78% | 7.50 | 0 | 0In the money | 0New | 144.20% |
| 24 | 24 | 0 | 258.13% | 8.00 | 0 | 0In the money | 0New | 173.72% |
| 0 | 0 | 0New | 290.95% | 8.50 | 6 | 6In the money | 0 | 0.00% |
| 0 | 0 | 0New | 256.03% | 9.00 | 2 | 2In the money | 0 | 0.00% |
| 0 | 0 | 0New | 348.02% | 9.50 | 1 | 1In the money | 0 | 247.61% |
| 0 | 0 | 0New | 373.22% | 10.00 | 1 | 1In the money | 0 | 0.00% |
| 0 | 0 | 0New | 396.64% | 10.50 | 0 | 0In the money | 0New | 0.00% |
| 0 | 0 | 0New | 418.53% | 11.00 | 0 | 0In the money | 0New | 0.00% |
| 0 | 0 | 0New | 439.07% | 11.50 | 0 | 0In the money | 0New | 324.37% |
| 0 | 0 | 0New | 435.83% | 12.00 | 0 | 0In the money | 0New | 340.92% |
| 0 | 0 | 0New | 476.68% | 12.50 | 0 | 0In the money | 0New | 356.61% |
| 0 | 1 | +1New | 470.54% | 13.00 | 3 | 3In the money | 0 | 371.54% |
Oct 30, 2026EXPIRATION42 contracts / 21 strikes
SAVED STOCK PRICE$5.92Nearest ATM strike $6.00
Jump to ATM | Calls | Strike | Puts | ||||||
|---|---|---|---|---|---|---|---|---|
| Prev OI | Open interest | Change | IV | Prev OI | Open interest | Change | IV | |
| 1 | 1In the money | 0 | 369.54% | 2.00 | 0 | 0 | 0New | 482.60% |
| 1 | 1In the money | 0 | 299.22% | 2.50 | 0 | 0 | 0New | 393.56% |
| 0 | 0In the money | 0New | 242.20% | 3.00 | 0 | 0 | 0New | 321.96% |
| 0 | 0In the money | 0New | 193.90% | 3.50 | 0 | 0 | 0New | 261.59% |
| 103 | 103In the money | 0 | 151.56% | 4.00 | 60 | 60 | 0 | 208.78% |
| 0 | 0In the money | 0New | 0.00% | 4.50 | 4 | 4 | 0 | 161.05% |
| 0 | 0In the money | 0New | 59.58% | 5.00 | 299 | 299 | 0 | 84.38% |
| 24 | 24In the money | 0 | 52.32% | 5.50 | 129 | 129 | 0 | 64.49% |
STOCK PRICE $5.92 | ||||||||
| 153 | 157 | +4 | 70.75% | 6.00NEAREST ATM | 38 | 38In the money | 0 | 55.38% |
| 161 | 161 | 0 | 55.01% | 6.50 | 16 | 16In the money | 0 | 50.15% |
| 56 | 56 | 0 | 67.42% | 7.00 | 2 | 2In the money | 0 | 0.00% |
| 0 | 0 | 0New | 134.70% | 7.50 | 0 | 0In the money | 0New | 0.00% |
| 1 | 1 | 0 | 104.90% | 8.00 | 1 | 1In the money | 0 | 0.00% |
| 0 | 0 | 0New | 176.64% | 8.50 | 0 | 0In the money | 0New | 110.59% |
| 0 | 0 | 0New | 194.61% | 9.00 | 0 | 0In the money | 0New | 124.88% |
| 0 | 0 | 0New | 211.09% | 9.50 | 0 | 0In the money | 0New | 0.00% |
| 0 | 0 | 0New | 200.12% | 10.00 | 0 | 0In the money | 0New | 0.00% |
| 0 | 0 | 0New | 240.44% | 10.50 | 0 | 0In the money | 0New | 0.00% |
| 0 | 0 | 0New | 253.66% | 11.00 | 0 | 0In the money | 0New | 0.00% |
| 0 | 0 | 0New | 266.06% | 11.50 | 2 | 2In the money | 0 | 0.00% |
| 0 | 0 | 0New | 277.74% | 12.00 | 0 | 0In the money | 0New | 243.71% |
Nov 06, 2026EXPIRATION44 contracts / 22 strikes
SAVED STOCK PRICE$5.92Nearest ATM strike $6.00
Jump to ATM | Calls | Strike | Puts | ||||||
|---|---|---|---|---|---|---|---|---|
| Prev OI | Open interest | Change | IV | Prev OI | Open interest | Change | IV | |
| 2 | 2In the money | 0 | 361.93% | 1.50 | 0 | 0 | 0New | 470.04% |
| 0 | 0In the money | 0New | 289.24% | 2.00 | 0 | 0 | 0New | 377.17% |
| 0 | 0In the money | 0New | 281.88% | 2.50 | 0 | 0 | 0New | 307.61% |
| 0 | 0In the money | 0New | 189.12% | 3.00 | 0 | 0 | 0New | 251.68% |
| 0 | 0In the money | 0New | 151.18% | 3.50 | 0 | 0 | 0New | 204.52% |
| 1 | 1In the money | 0 | 117.98% | 4.00 | 0 | 0 | 0New | 163.26% |
| 2 | 2In the money | 0 | 88.08% | 4.50 | 0 | 0 | 0New | 116.76% |
| 0 | 0In the money | 0New | 79.17% | 5.00 | 2 | 2 | 0 | 75.29% |
| 5 | 5In the money | 0 | 64.76% | 5.50 | 3 | 3 | 0 | 56.55% |
STOCK PRICE $5.92 | ||||||||
| 36 | 32 | -4 | 64.62% | 6.00NEAREST ATM | 12 | 12In the money | 0 | 57.96% |
| 177 | 177 | 0 | 61.97% | 6.50 | 0 | 0In the money | 0New | 53.86% |
| 108 | 108 | 0 | 71.28% | 7.00 | 1 | 1In the money | 0 | 68.68% |
| 0 | 0 | 0New | 97.67% | 7.50 | 0 | 0In the money | 0New | 0.00% |
| 0 | 0 | 0New | 122.39% | 8.00 | 6 | 6In the money | 0 | 91.90% |
| 0 | 0 | 0New | 137.87% | 8.50 | 0 | 0In the money | 0New | 0.00% |
| 0 | 0 | 0New | 151.91% | 9.00 | 0 | 0In the money | 0New | 100.30% |
| 0 | 0 | 0New | 164.79% | 9.50 | 0 | 0In the money | 0New | 0.00% |
| 0 | 0 | 0New | 126.01% | 10.00 | 0 | 0In the money | 0New | 0.00% |
| 0 | 0 | 0New | 187.72% | 10.50 | 0 | 0In the money | 0New | 0.00% |
| 0 | 0 | 0New | 198.05% | 11.00 | 0 | 0In the money | 0New | 139.04% |
| 0 | 0 | 0New | 207.74% | 11.50 | 0 | 0In the money | 0New | 147.41% |
| 0 | 0 | 0New | 216.86% | 12.00 | 0 | 0In the money | 0New | 0.00% |
Nov 13, 2026EXPIRATION40 contracts / 20 strikes
SAVED STOCK PRICE$5.92Nearest ATM strike $6.00
Jump to ATM | Calls | Strike | Puts | ||||||
|---|---|---|---|---|---|---|---|---|
| Prev OI | Open interest | Change | IV | Prev OI | Open interest | Change | IV | |
| 4 | 4In the money | 0 | 283.91% | 1.50 | 0 | 0 | 0New | 399.80% |
| 0 | 0In the money | 0New | 224.65% | 2.00 | 0 | 0 | 0New | 320.97% |
| 0 | 0In the money | 0New | 227.85% | 2.50 | 0 | 0 | 0New | 261.93% |
| 0 | 0In the money | 0New | 143.22% | 3.00 | 0 | 0 | 0New | 214.47% |
| 0 | 0In the money | 0New | 112.64% | 3.50 | 0 | 0 | 0New | 174.46% |
| 0 | 0In the money | 0New | 103.76% | 4.00 | 0 | 0 | 0New | 130.13% |
| 3 | 3In the money | 0 | 97.01% | 4.50 | 1 | 1 | 0 | 91.39% |
| 0 | 0In the money | 0New | 99.22% | 5.00 | 0 | 0 | 0New | 95.98% |
| 0 | 0In the money | 0New | 88.75% | 5.50 | 5 | 38 | +33 | 81.88% |
STOCK PRICE $5.92 | ||||||||
| 79 | 94 | +15 | 85.33% | 6.00NEAREST ATM | 103 | 103In the money | 0 | 83.28% |
| 27 | 27 | 0 | 82.54% | 6.50 | 7 | 7In the money | 0 | 80.40% |
| 40 | 40 | 0 | 86.76% | 7.00 | 0 | 0In the money | 0New | 68.16% |
| 2 | 2 | 0 | 81.92% | 7.50 | 2 | 2In the money | 0 | 59.66% |
| 2 | 9 | +7 | 88.69% | 8.00 | 0 | 0In the money | 0New | 71.82% |
| 0 | 0 | 0New | 108.92% | 8.50 | 0 | 0In the money | 0New | 0.00% |
| 0 | 0 | 0New | 112.09% | 9.00 | 0 | 0In the money | 0New | 93.04% |
| 0 | 0 | 0New | 138.97% | 9.50 | 0 | 0In the money | 0New | 0.00% |
| 0 | 0 | 0New | 149.08% | 10.00 | 0 | 0In the money | 0New | 0.00% |
| 0 | 0 | 0New | 158.47% | 10.50 | 2 | 2In the money | 0 | 0.00% |
| 0 | 0 | 0New | 183.24% | 12.00 | 0 | 0In the money | 0New | 0.00% |
Nov 20, 2026EXPIRATION54 contracts / 27 strikes
SAVED STOCK PRICE$5.92Nearest ATM strike $6.00
Jump to ATM | Calls | Strike | Puts | ||||||
|---|---|---|---|---|---|---|---|---|
| Prev OI | Open interest | Change | IV | Prev OI | Open interest | Change | IV | |
| 0 | 0In the money | 0New | 0.00% | 2.00 | 0 | 0 | 0New | 228.11% |
| 8 | 8In the money | 0 | 152.60% | 2.50 | 23 | 23 | 0 | 161.77% |
| 0 | 0In the money | 0New | 0.00% | 3.00 | 0 | 0 | 0New | 150.68% |
| 0 | 0In the money | 0New | 0.00% | 3.50 | 0 | 0 | 0New | 121.32% |
| 0 | 0In the money | 0New | 0.00% | 4.00 | 0 | 0 | 0New | 106.19% |
| 0 | 0In the money | 0New | 91.40% | 4.50 | 0 | 0 | 0New | 95.68% |
| 495 | 500In the money | +5 | 86.71% | 5.00 | 484 | 850 | +366 | 85.22% |
| 0 | 0In the money | 0New | 77.74% | 5.50 | 0 | 0 | 0New | 80.75% |
STOCK PRICE $5.92 | ||||||||
| 0 | 0 | 0New | 78.49% | 6.00NEAREST ATM | 0 | 0In the money | 0New | 77.82% |
| 0 | 0 | 0New | 76.29% | 6.50 | 0 | 0In the money | 0New | 83.11% |
| 0 | 0 | 0New | 76.37% | 7.00 | 0 | 0In the money | 0New | 75.70% |
| 4,275 | 4,276 | +1 | 77.67% | 7.50 | 6,599 | 6,598In the money | -1 | 82.08% |
| 0 | 0 | 0New | 84.75% | 8.00 | 0 | 0In the money | 0New | 76.58% |
| 0 | 0 | 0New | 89.00% | 8.50 | 0 | 0In the money | 0New | 0.00% |
| 0 | 0 | 0New | 90.09% | 9.00 | 0 | 0In the money | 0New | 105.53% |
| 0 | 0 | 0New | 98.69% | 9.50 | 0 | 0In the money | 0New | 115.15% |
| 934 | 939 | +5 | 106.66% | 10.00 | 172 | 172In the money | 0 | 104.28% |
| 0 | 0 | 0New | 114.09% | 10.50 | 0 | 0In the money | 0New | 132.40% |
| 0 | 0 | 0New | 121.04% | 11.00 | 0 | 0In the money | 0New | 140.22% |
| 0 | 0 | 0New | 127.59% | 11.50 | 0 | 0In the money | 0New | 125.90% |
| 829 | 828 | -1 | 139.61% | 12.50 | 0 | 0In the money | 0New | 138.49% |
| 166 | 166 | 0 | 147.94% | 15.00 | 155 | 155In the money | 0 | 165.40% |
| 378 | 378 | 0 | 167.17% | 17.50 | 0 | 0In the money | 0New | 0.00% |
| 35 | 35 | 0 | 183.35% | 20.00 | 0 | 0In the money | 0New | 206.65% |
| 1 | 1 | 0 | 253.61% | 22.50 | 0 | 0In the money | 0New | 223.30% |
| 6 | 6 | 0 | 267.70% | 25.00 | 0 | 0In the money | 0New | 238.08% |
| 3 | 3 | 0 | 291.41% | 30.00 | 0 | 0In the money | 0New | 263.55% |
Nov 27, 2026EXPIRATION40 contracts / 20 strikes
SAVED STOCK PRICE$5.92Nearest ATM strike $6.00
Jump to ATM | Calls | Strike | Puts | ||||||
|---|---|---|---|---|---|---|---|---|
| Prev OI | Open interest | Change | IV | Prev OI | Open interest | Change | IV | |
| 0 | 0In the money | 0New | 242.38% | 1.50 | 0 | 0 | 0New | 320.76% |
| 0 | 0In the money | 0New | 233.22% | 2.00 | 0 | 0 | 0New | 257.48% |
| 0 | 0In the money | 0New | 188.91% | 2.50 | 0 | 0 | 0New | 210.10% |
| 0 | 0In the money | 0New | 123.97% | 3.00 | 0 | 0 | 0New | 172.00% |
| 0 | 0In the money | 0New | 111.92% | 3.50 | 0 | 0 | 0New | 139.88% |
| 0 | 0In the money | 0New | 96.67% | 4.00 | 0 | 0 | 0New | 104.29% |
| 0 | 0In the money | 0New | 92.19% | 4.50 | 0 | 0 | 0New | 86.42% |
| 0 | 0In the money | 0New | 85.14% | 5.00 | 0 | 58 | +58New | 76.85% |
| 0 | 0In the money | 0New | 79.10% | 5.50 | 0 | 0 | 0New | 76.25% |
STOCK PRICE $5.92 | ||||||||
| 375 | 185 | -190 | 78.75% | 6.00NEAREST ATM | 0 | 0In the money | 0New | 73.12% |
| 0 | 0 | 0New | 76.72% | 6.50 | 0 | 0In the money | 0New | 74.45% |
| 25 | 25 | 0 | 77.54% | 7.00 | 0 | 0In the money | 0New | 71.28% |
| 0 | 0 | 0New | 75.70% | 7.50 | 0 | 0In the money | 0New | 67.72% |
| 0 | 0 | 0New | 77.38% | 8.00 | 0 | 0In the money | 0New | 66.58% |
| 0 | 0 | 0New | 81.20% | 8.50 | 0 | 0In the money | 0New | 66.23% |
| 0 | 0 | 0New | 96.91% | 9.00 | 0 | 0In the money | 0New | 74.52% |
| 0 | 0 | 0New | 111.74% | 9.50 | 0 | 0In the money | 0New | 82.22% |
| 0 | 0 | 0New | 119.85% | 10.00 | 0 | 0In the money | 0New | 0.00% |
| 0 | 0 | 0New | 127.38% | 10.50 | 0 | 0In the money | 0New | 0.00% |
| 0 | 0 | 0New | 147.25% | 12.00 | 0 | 0In the money | 0New | 114.41% |
Dec 18, 2026EXPIRATION24 contracts / 12 strikes
SAVED STOCK PRICE$5.92Nearest ATM strike $5.00
Jump to ATM | Calls | Strike | Puts | ||||||
|---|---|---|---|---|---|---|---|---|
| Prev OI | Open interest | Change | IV | Prev OI | Open interest | Change | IV | |
| 114 | 114In the money | 0 | 0.00% | 2.50 | 607 | 607 | 0 | 118.83% |
| 632 | 632In the money | 0 | 77.67% | 5.00NEAREST ATM | 3,653 | 3,653 | 0 | 77.28% |
STOCK PRICE $5.92 | ||||||||
| 1,484 | 1,480 | -4 | 76.07% | 7.50 | 1,930 | 1,930In the money | 0 | 70.04% |
| 1,019 | 1,019 | 0 | 77.25% | 10.00 | 176 | 176In the money | 0 | 95.79% |
| 1,081 | 1,081 | 0 | 101.37% | 12.50 | 1 | 1In the money | 0 | 135.15% |
| 886 | 886 | 0 | 119.88% | 15.00 | 35 | 35In the money | 0 | 0.00% |
| 546 | 546 | 0 | 134.90% | 17.50 | 0 | 0In the money | 0New | 147.06% |
| 611 | 611 | 0 | 147.49% | 20.00 | 15 | 15In the money | 0 | 179.76% |
| 140 | 140 | 0 | 158.33% | 22.50 | 0 | 0In the money | 0New | 193.22% |
| 101 | 101 | 0 | 194.96% | 25.00 | 0 | 0In the money | 0New | 186.56% |
| 362 | 362 | 0 | 167.76% | 30.00 | 0 | 0In the money | 0New | 206.68% |
| 1,367 | 1,367 | 0 | 180.27% | 35.00 | 0 | 0In the money | 0New | 242.98% |
Jan 15, 2027EXPIRATION22 contracts / 11 strikes
SAVED STOCK PRICE$5.92Nearest ATM strike $5.00
Jump to ATM | Calls | Strike | Puts | ||||||
|---|---|---|---|---|---|---|---|---|
| Prev OI | Open interest | Change | IV | Prev OI | Open interest | Change | IV | |
| 32 | 32In the money | 0 | 106.46% | 2.50 | 37 | 37 | 0 | 112.80% |
| 540 | 540In the money | 0 | 76.63% | 5.00NEAREST ATM | 1,664 | 1,664 | 0 | 69.95% |
STOCK PRICE $5.92 | ||||||||
| 3,341 | 3,277 | -64 | 67.30% | 7.50 | 864 | 864In the money | 0 | 69.66% |
| 2,805 | 2,805 | 0 | 74.08% | 10.00 | 291 | 290In the money | -1 | 71.06% |
| 1,810 | 1,810 | 0 | 83.41% | 12.50 | 0 | 0In the money | 0New | 0.00% |
| 1,955 | 1,955 | 0 | 98.72% | 15.00 | 4 | 4In the money | 0 | 111.77% |
| 52 | 52 | 0 | 111.13% | 17.50 | 0 | 0In the money | 0New | 140.36% |
| 1,328 | 1,328 | 0 | 121.54% | 20.00 | 0 | 0In the money | 0New | 0.00% |
| 55 | 55 | 0 | 130.49% | 22.50 | 0 | 0In the money | 0New | 165.28% |
| 43 | 43 | 0 | 138.34% | 25.00 | 0 | 0In the money | 0New | 160.93% |
| 71 | 71 | 0 | 151.60% | 30.00 | 0 | 0In the money | 0New | 178.35% |
Apr 16, 2027EXPIRATION10 contracts / 5 strikes
SAVED STOCK PRICE$5.92Nearest ATM strike $5.00
Jump to ATM | Calls | Strike | Puts | ||||||
|---|---|---|---|---|---|---|---|---|
| Prev OI | Open interest | Change | IV | Prev OI | Open interest | Change | IV | |
| 7 | 7In the money | 0 | 67.86% | 2.50 | 2,024 | 2,024 | 0 | 79.91% |
| 50 | 50In the money | 0 | 72.39% | 5.00NEAREST ATM | 100 | 100 | 0 | 70.99% |
STOCK PRICE $5.92 | ||||||||
| 251 | 249 | -2 | 68.67% | 7.50 | 142 | 143In the money | +1 | 69.46% |
| 290 | 290 | 0 | 68.56% | 10.00 | 72 | 72In the money | 0 | 67.41% |
| 1,077 | 1,077 | 0 | 69.93% | 12.50 | 0 | 0In the money | 0New | 80.33% |
Jan 21, 2028EXPIRATION22 contracts / 11 strikes
SAVED STOCK PRICE$5.92Nearest ATM strike $5.00
Jump to ATM | Calls | Strike | Puts | ||||||
|---|---|---|---|---|---|---|---|---|
| Prev OI | Open interest | Change | IV | Prev OI | Open interest | Change | IV | |
| 257 | 257In the money | 0 | 76.79% | 2.50 | 1,044 | 1,044 | 0 | 79.74% |
| 1,947 | 1,960In the money | +13 | 71.59% | 5.00NEAREST ATM | 2,081 | 2,081 | 0 | 69.47% |
STOCK PRICE $5.92 | ||||||||
| 1,057 | 1,057 | 0 | 67.53% | 7.50 | 280 | 281In the money | +1 | 67.43% |
| 2,168 | 2,168 | 0 | 69.08% | 10.00 | 3,137 | 3,137In the money | 0 | 67.98% |
| 319 | 319 | 0 | 66.90% | 12.50 | 269 | 269In the money | 0 | 68.25% |
| 1,577 | 1,577 | 0 | 73.46% | 15.00 | 97 | 97In the money | 0 | 69.12% |
| 103 | 103 | 0 | 72.80% | 17.50 | 181 | 0In the money | -181 | 72.08% |
| 4,279 | 4,279 | 0 | 69.08% | 20.00 | 0 | 0In the money | 0New | 79.61% |
| 213 | 213 | 0 | 69.78% | 22.50 | 0 | 0In the money | 0New | 0.00% |
| 47 | 47 | 0 | 75.71% | 25.00 | 0 | 0In the money | 0New | 0.00% |
| 662 | 662 | 0 | 77.90% | 30.00 | 0 | 0In the money | 0New | 0.00% |
Jan 19, 2029EXPIRATION8 contracts / 4 strikes
SAVED STOCK PRICE$5.92Nearest ATM strike $5.00
Jump to ATM | Calls | Strike | Puts | ||||||
|---|---|---|---|---|---|---|---|---|
| Prev OI | Open interest | Change | IV | Prev OI | Open interest | Change | IV | |
| 83 | 83In the money | 0 | 75.73% | 2.50 | 0 | 0 | 0New | 74.14% |
| 391 | 393In the money | +2 | 71.41% | 5.00NEAREST ATM | 7,401 | 7,401 | 0 | 63.77% |
STOCK PRICE $5.92 | ||||||||
| 34 | 34 | 0 | 72.31% | 7.50 | 1 | 1In the money | 0 | 69.55% |
| 37 | 37 | 0 | 68.65% | 10.00 | 0 | 21In the money | +21New | 66.24% |
Click an OI number to view that contract's history. Click an expiration to show or hide its contracts. Unobserved daily OI is treated as zero; an empty call/put side means no contract at that strike.
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