Robustness test results of stock options elements design and innovation output using group regression
| Non-executive granting proportion | Granting range | Incentive period | ||||
| High | Low | Large | Small | Large | Small | |
| (1) | (2) | (3) | (4) | (5) | (6) | |
| Delta | −0.074 (−0.66) | 0.190 (1.37) | 0.060 (0.53) | 0.125 (0.80) | 0.121 (0.78) | −0.053 (−0.46) |
| Vega | 0.682*** (3.36) | −0.160 (−0.44) | −0.480** (−2.00) | 0.756*** (2.82) | 0.625** (2.41) | −0.155 (−0.59) |
| Chow-test | 4.61** | 13.32*** | 4.04** | |||
| n | 469 | 464 | 364 | 569 | 539 | 394 |
| Exercise proportion | Price-to-strike ratio | Performance assessment criteria | ||||
| Increasing | Non−increasing | High | Low | Strict | Loose | |
| (7) | (8) | (9) | (10) | (11) | (12) | |
| Delta | −0.113 (−1.00) | 0.218 (1.61) | 0.069 (0.46) | 0.012 (0.10) | 0.032 (0.25) | 0.086 (0.65) |
| Vega | 0.555*** (2.59) | −0.350 (−1.28) | 0.119 (0.33) | 0.410* (1.85) | −0.573** (−2.56) | 0.873*** (3.91) |
| Chow-test | 8.65*** | 0.57 | 20.93*** | |||
| n | 449 | 476 | 397 | 536 | 676 | 257 |
| Non-executive granting proportion | Granting range | Incentive period | ||||
| High | Low | Large | Small | Large | Small | |
| (1) | (2) | (3) | (4) | (5) | (6) | |
| Delta | −0.074 (−0.66) | 0.190 (1.37) | 0.060 (0.53) | 0.125 (0.80) | 0.121 (0.78) | −0.053 (−0.46) |
| Vega | 0.682 | −0.160 (−0.44) | −0.480 | 0.756 | 0.625 | −0.155 (−0.59) |
| Chow-test | 4.61 | 13.32 | 4.04 | |||
| 469 | 464 | 364 | 569 | 539 | 394 | |
| Exercise proportion | Price-to-strike ratio | Performance assessment criteria | ||||
| Increasing | Non−increasing | High | Low | Strict | Loose | |
| (7) | (8) | (9) | (10) | (11) | (12) | |
| Delta | −0.113 (−1.00) | 0.218 (1.61) | 0.069 (0.46) | 0.012 (0.10) | 0.032 (0.25) | 0.086 (0.65) |
| Vega | 0.555 | −0.350 (−1.28) | 0.119 (0.33) | 0.410 | −0.573 | 0.873 |
| Chow-test | 8.65 | 0.57 | 20.93 | |||
| 449 | 476 | 397 | 536 | 676 | 257 | |
Notes:
***p < 0.01; **p < 0.05; *p < 0.1
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