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Stock-Based Compensation (Tables) | 6 Months Ended
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Jun. 30, 2025
Schedule of options granted and weighted average grant date fair value | ​
​ | ​ | ​ | ​ | ​ | ​
​ | Six Months Ended | ​
​ | June 30, 2025 | ​
​ | Options | ​ | Weighted | ​
​ | granted | ​ | average | ​
​ | (000's) | ​ | GDFV | ​
Series C Liberty Formula One common stock, Liberty CEO (1) | 68 | ​ | $ | 37.09 | ​
Series C Liberty Formula One common stock, subsidiary employees (2) | 146 | ​ | $ | 37.09 | ​
Series C Liberty Live common stock, Liberty CEO (1) | 24 | ​ | $ | 30.40 | ​
| (1) | Grants vest equally over five years. Grants were made in connection with the CEO’s employment agreement.
| (2) | Grants vest equally over five years.
Formula One Group |
Schedule of outstanding options to purchase liberty common stock | ​
​ | ​ | ​ | ​ | ​ | ​ | ​ | ​ | ​ | ​ | ​ | ​
​ | Series C | ​
​ |  |  | ​ |  | Weighted |  | Aggregate | ​
​ | ​ | ​ | ​ | ​ | average | ​ | intrinsic | ​
​ | Liberty | ​ | ​ | ​ | remaining | ​ | value | ​
​ | options (000's) | ​ | WAEP | ​ | life | ​ | (millions) | ​
Outstanding at January 1, 2025 | 4,138 | ​ | $ | 39.53 | ​ | ​ | ​ | ​ | ​ | ​ | ​
Granted | 214 | ​ | $ | 94.11 | ​ | ​ | ​ | ​ | ​ | ​ | ​
Exercised | (722) | ​ | $ | 39.07 | ​ | ​ | ​ | ​ | ​ | ​ | ​
Forfeited/Cancelled | — | ​ | $ | — | ​ | ​ | ​ | ​ | ​ | ​ | ​
Outstanding at June 30, 2025 | 3,630 | ​ | $ | 42.84 | ​ | 2.4 | years | ​ | $ | 224 | ​
Exercisable at June 30, 2025 | 3,224 | ​ | $ | 38.06 |  | 1.9 | years | ​ | $ | 214 | ​
Liberty Live Group |
Schedule of outstanding options to purchase liberty common stock | ​
​ | ​ | ​ | ​ | ​ | ​ | ​ | ​ | ​ | ​ | ​ | ​
​ | Series C | ​
​ |  |  | ​ |  | Weighted |  | Aggregate | ​
​ | ​ | ​ | ​ | ​ | average | ​ | intrinsic | ​
​ | Liberty | ​ | ​ | ​ | remaining | ​ | value | ​
​ | options (000's) | ​ | WAEP | ​ | life | ​ | (millions) | ​
Outstanding at January 1, 2025 | 1,230 | ​ | $ | 42.68 | ​ | ​ | ​ | ​ | ​ | ​ | ​
Granted | 24 | ​ | $ | 76.45 | ​ | ​ | ​ | ​ | ​ | ​ | ​
Exercised | (51) | ​ | $ | 40.06 | ​ | ​ | ​ | ​ | ​ | ​ | ​
Forfeited/Cancelled | — | ​ | $ | — | ​ | ​ | ​ | ​ | ​ | ​ | ​
Outstanding at June 30, 2025 | 1,203 | ​ | $ | 43.45 | ​ | 2.7 | years | ​ | $ | 45 | ​
Exercisable at June 30, 2025 | 1,121 | ​ | $ | 43.08 |  | 2.4 | years | ​ | $ | 43 | ​

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- Definition Tabular disclosure of the weighted-average grant-date fair value of equity options or other equity instruments granted during the year. + References Reference 1: http://fasb.org/us-gaap/role/ref/legacyRef -Name Accounting Standards Codification -Topic 718 -SubTopic 10 -Section 50 -Paragraph 2 -Subparagraph (d)(1) -Publisher FASB -URI https://asc.fasb.org/1943274/2147480429/718-10-50-2 + Details
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