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Share-based payment (Tables)
12 Months Ended
Dec. 31, 2021
Disclosure of terms and conditions of share-based payment arrangement [abstract]  
Summary of Share-based payment plan (Equity-settled)

On December 31, 2021, the Company established the following share-based payment arrangements:

Program
Vesting conditions
Cosan - Investe I
3 years of service from the grant date and achievement of specific metrics that can vary between 0% and 200% (to calculate the fair value, the achievement of 100% was considered). Performance shares will have a specific weight, according to the target established by the Board of Directors.
Cosan - Investe II
4 years of service from the grant date and achievement of specific metrics that can vary between 0% and 150% (to calculate the fair value, the achievement of 100% was considered). Performance shares will have a specific weight, according to the target established by the Board of Directors.
Cosan - Investe III
5 years of service from the grant date with restricted shares and additional restricted shares being delivered. The restricted shares being equivalent to 25% of the participant's Long-Term Incentive Program and the additional restricted shares transferred as a result of the Company's Matching.
Rumo –Special Program 2021
5 years of service from the grant date and achievement of specific metrics.
Rumo - Program 2021
3 years of service from the grant date and achievement of specific metrics that can vary between 0% and 150% (to calculate the fair value, the achievement of 100% was considered).
Summary of share-based payment arrangements of share options

Type of award / Grant date


Company


Expected life (years)


Shares granted


Exercised / canceled / transferred



Available


 

Share-based payment plan




 


 


 



 


 

April 27, 2017


Cosan S.A.


5


1,096,000


(954,028

)

141,972


 

July 31, 2017


Cosan S.A.


5


1,192,428


(396,848

)

795,580


 

July 31, 2018


Cosan S.A.


5


842,408


(107,576

)

734,832


 

July 31, 2019


Cosan S.A.


5


229,020


(20,080

)

208,940


 

July 31, 2020


Cosan S.A.


5


68,972


(6,704

)

62,268


 

July 31, 2021 - Invest I


Cosan S.A.


3


424,839




424,839


 

September 10, 2021 - Invest II


Cosan S.A.


4


5,283,275


(660,410

)

4,622,865


 

October 11, 2021 - Invest III


Cosan S.A.


5


809,944




809,944


 

 


 


 


9,946,886


(2,145,646

)

7,801,240


 

 


 


 


 


 



 


 

April 20, 2017


Comgás


5


61,300


(61,300

)


 

August 12, 2017


Comgás


5


97,780


(97,780

)


 

August 1, 2018


Comgás


5


96,787


(17,761

)

79,026


 

July 31, 2019


Comgás


5


83,683


(14,794

)

68,889


 

February 1, 2020


Compass Gás e Energia


5


1,858,969


(1,858,969

)


 

 


 


 


2,198,519


(2,050,604

)

147,915


 

 


 


 


 


 



 


 

January 2, 2017


Rumo


5


1,476,000


(1,476,000

)


 

September 1, 2017


Rumo


5


870,900


(255,250

)

615,650


 

August 1, 2018


Rumo


5


1,149,544


(308,417

)

841,127


 

August 15, 2019


Rumo


5


843,152


(147,214

)

695,938


 

November 11, 2020


Rumo


5


776,142


(115,303

)

660,839


 

May 05, 2021


Rumo


5


1,481,000


(414,702

)

1,066,298


 

September 15, 2021


Rumo


3


1,560,393


(8,422

)

1,551,971


 

 


 


 


8,157,131


(2,725,308

)

5,431,823


 

 


 


 


 


 



 


 

Share-based payment




 


 


 



 


 

plan




 


 


 



 


 

August 18, 2011


Cosan S.A.


1 to 12


6,006,504


(6,006,504

)


 

August 31, 2015


Cosan S.A.


5 to 7


463,906


(463,906

)


 

 


 


 


6,470,410


(6,470,410

)


 

Cash-settled transactions




 


 


 



 


 

July 31, 2019


Moove


5


132,670




132,670


 

July 31, 2020


Moove


5


106,952




106,952


 

July 31, 2021


Moove


3


80,729




80,729


 

August 1st, 2021


Compass Gás e Energia


2


26,625




26,625


 

August 1st, 2021


Compass Comercialização


2


31,535




31,535


 

August 1st, 2021


Compass Gás e Energia


3


152,770




152,770


 

August 1st, 2021


TRSP


3


33,634




33,634


 

November 1st, 2021


Comgás


3


172,251




172,251


 

November 1st, 2021


Compass Gás e Energia


3


1,474,367




1,474,367


 

 


 


 


2,211,533




2,211,533


 

 


 


 


 


 



 


 

Total


 


 


28,984,479


(13,391,968

)

15,592,511


 

Summary of Weighted Average Fair Value of Programs Granted and Principal Assumptions used in Applying Black-Scholes Model

The weighted average fair value of the programs granted during the financial years ended December 31, 2021 and 2020 and the principal assumptions used in applying the Black-Scholes model were as follows:

 

Stock grant programs


 

Cosan S.A.


Rumo S.A.


Comgás


Compass Gás e Energia


 

December 31, 2021


December 31, 2020


December 31, 2021


December 31, 2020


December 31, 2021


December 31, 2020


December 31, 2021


December 31, 2020


Key assumptions

 


 


 


 


 


 


 


 


Share price at grant date

23.20


83.73


18.20


20.01


78.58



27.27


13.58


Risk-free interest rate

6.82%


6.94%


6.94%


6.94%


6.82%


6.94%


N.A.


N.A.


Volatility factor

36.50%


36.50%


26.51%


36.50%


32.81%


32.81%


N.A.


N.A.


Summary of Number and Weighted-average Exercise Prices of Share Options

The movement in the number of awards outstanding and their related weighted-average exercise prices are as follows:

At January 1, 2020(i)

11,478,287



Granted(i)

3,131,000



Vested(i)

(3,875,167

)

Canceled(i)

(197,330

)

At December 31, 2020(i)

10,536,790



Granted

11,531,359



Vested

(6,200,231

)

Canceled

(275,407

)

At December 31, 2021

15,592,511




(i)     On May 6, 2021, the Company split the issued shares, in the proportion of 1:4, without changing the share capital. The split of shares was approved at the Annual and Extraordinary General Meeting on April 30, 2021.