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# Staking Details

### Libre Staking Math

The staking return is calculated using the following formula:
$f(s,t) = min(t) + √ (s) * ( Max(t)-Min(t) )$
Where s is the index of time elapsed since day one of staking, t is the staking length.
Min is a function of time that decreases with t, and Max is also a function of t.
The degradation of Min and Max is also a function of the square root of time s and not t. These are core in the inherent game mechanics of the LIBRE token incentives.
This math is implemented in the open-source Libre staking contract.

### Libre Staking Table

Variable
Type
Value
Stake Date
DATE
Date of User-Initiated Stake
Stake Length
INT
User Defined [1-1460 DAYS] **Required**
Mint Bonus
%
Only applies to stakes created in Mint
Libre Staked
FLOAT
User Defined **Required**
APY
%
=((Alpha0+sqrt(StakeLength/365)*(Beta0-Alpha0))+((AlphaT+sqrt(StakeLength/365)*(BetaT-AlphaT))-(Alpha0+sqrt(StakeLength/365)*(Beta0-Alpha0)))*sqrt(MIN(1,(StakeDate-L))/T))*(1+MintBonus)
Payout
FLOAT
=(StakeLength/365) * LibreStaked * APY + Libre Staked
Payout Date
DATE
=StakeDate + StakeLength [1 - 1460 DAYS]