v3.20.1

Warrant plans - Valuation (Details) - EUR (€) | 12 Months Ended
--- | ---
Dec. 31, 2019 | Dec. 31, 2018 | Dec. 31, 2017
Warrant Plans |  |  |
Share based compensation expense | € 38,297,000 | € 26,757,000 | € 16,536,000
2019 allocated on April 2019 |  |  |
Warrant Plans |  |  |
Exercise Price | € 95.11 |  |
Weighted average share price at acceptance date | € 107.05 |  |
Weighted average fair value on the acceptance date | € 40.04 |  |
Weighted average estimated volatility | 35.86% |  |
Weighted average expected life of the warrant (years) | 6 years |  |
Weighted average risk free rate (%) | (0.27%) |  |
2019 RMV allocated on April 2019 |  |  |
Warrant Plans |  |  |
Exercise Price | € 95.11 |  |
Weighted average share price at acceptance date | € 107.45 |  |
Weighted average fair value on the acceptance date | € 40.05 |  |
Weighted average estimated volatility | 35.63% |  |
Weighted average expected life of the warrant (years) | 6 years |  |
Weighted average risk free rate (%) | (0.28%) |  |
2018 allocated on April 2018 |  |  |
Warrant Plans |  |  |
Exercise Price | € 79.88 |  |
Weighted average share price at acceptance date | € 84.88 |  |
Weighted average fair value on the acceptance date | € 38.39 |  |
Weighted average estimated volatility | 39.44% |  |
Weighted average expected life of the warrant (years) | 8 years |  |
Weighted average risk free rate (%) | 0.51% |  |
2018 RMV allocated on April 2018 |  |  |
Warrant Plans |  |  |
Exercise Price | € 79.88 |  |
Weighted average share price at acceptance date | € 84.88 |  |
Weighted average fair value on the acceptance date | € 38.39 |  |
Weighted average estimated volatility | 39.44% |  |
Weighted average expected life of the warrant (years) | 8 years |  |
Weighted average risk free rate (%) | 0.51% |  |
2017 allocated on May 2017 |  |  |
Warrant Plans |  |  |
Exercise Price | € 80.57 |  |
Weighted average share price at acceptance date | € 68.67 |  |
Weighted average fair value on the acceptance date | € 26.86 |  |
Weighted average estimated volatility | 40.06% |  |
Weighted average expected life of the warrant (years) | 8 years |  |
Weighted average risk free rate (%) | 0.33% |  |
2017 RMV allocated on May 2017 |  |  |
Warrant Plans |  |  |
Exercise Price | € 80.57 |  |
Weighted average share price at acceptance date | € 68.67 |  |
Weighted average fair value on the acceptance date | € 26.80 |  |
Weighted average estimated volatility | 40.08% |  |
Weighted average expected life of the warrant (years) | 8 years |  |
Weighted average risk free rate (%) | 0.29% |  |

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