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Share-based compensation
12 Months Ended
Dec. 31, 2025
Share-based compensation [Abstract]  
Share-based compensation
26.
Share-based compensation

The options were granted to management and key employees of MPC Capital in 2024 and are subject to market and performance conditions as well as a service condition of four years. The remaining term of the options granted is derived from the contractual terms and the grant date of the options. The risk-free rate for periods within the contractual life of the option is based on zero-coupon bond risk-free rates generated using the Svensson model and yield curve data provided by the German Central Bank in effect at the time of grant. The grant-date fair value was $2.25 per option.

Long-term incentive program
     
Expected volatility
 
43.21
%
Expected dividend yield
   
6.6
%
Expected term (in years)
   
4.5
 
Risk-free rate
   
2.5
%

Options
 
Number of
options
(in
thousands)
   
Weighted
average
exercise
price
(Euro)
 
Weighted
average
remaining contractual
term
(Years)
 
Aggregate
intrinsic value
(USD, in
thousands)
 
Outstanding at December 16, 2024
   
450
     
1
                 
Granted
   
     
1
                 
Exercised
   
     
1
                 
Forfeited or expired
   
     
1
                 
Outstanding at December 31, 2024
   
450
     
1
     
4.5
   
$
2,015
 
Exercisable at December 31, 2024
   
     
     
     
 
Granted
          1                  
Exercised           1                  
Forfeited or expired
    (10 )     1                  
Outstanding at December 31, 2025
    440       1       3.5     $ 2,341  
Exercisable at December 31, 2025
                       

As of December 31, 2024, and 2025, total unrecognized compensation cost was $815,000 and $644,000, respectively, and was related to nonvested share-based compensation arrangements granted under the employee share option agreements of MPC Capital. That cost is expected to be recognized over a weighted-average period of 2.5 years. For the years ended December 31, 2024 and 2025, the Company recognized expenses in the amounts of $9,494 and  $242,571 in the consolidated statement of comprehensive income. No options were exercised, and no cash was paid out during the years ended December 31, 2024 and 2025.