- The main formula for RARI token holders:

Y = 0,35 / 365 * N + 0,3

-> Y - end value

-> N - number of full staking days (numbering starts at zero) - Rewards of each staker exclusive of rewards of the others:

V = A * (0,3 + 0,35 * (N - 1) / 365)

-> V - total rewards of each staker inclusive of their locked token amount

-> A - locked amount - Distribution formulas for each staker for day i :

- V(1).i - first staker’s reward
- V(2).i - second staker’s reward.

………………. - V(N).i - N staker’s reward.

- Calculation of each staker’s reward amount in the context of all other stakers’ contributions for day i:

V(I am).i / V(all stakers).i = P.i

V(all stakers).i = V(1).i + V(2).i + V(3).i + … + V(N).i

where -> P.i - is the amount of an individual reward against the contributions of all stakers. - Dividing the weekly rewards of all stakers by 7 to get the daily reward amount:

25000 / 7 days = 3571,43 - S - my reward for day i among other stakers’ rewards:

S.i = P.i * 3571,43 - At the end of the week we get:

S(1…7) = S(1) + S(2) + … + S(i) + … + S(7)

Example:

- I own 100 RARI and I wish to stake them.
- There is a total of 3 such stakers (including myself). Let Alice stake 300 Rari and Bob - 600 Rari.

- “I am” started staking at the beginning of the week.
- Alice started staking on day 3 (incl).
- Bob started staking on day 5 (incl).

- All of us will hold tokens until the end of the week:

- “I am” held his token for 7 days
- Alice held hers for 5 days
- Bob held his tokens for 3 days

- Let’s calculate the final reward amount for day 1 for “I am”:

V(I am).1 = 100 * (0,3 * 2 + 0,35 * (1 - 1)/365) = 30,00 - The final reward amount for “I am” for day 2:

V(I am).2 = V(I am).1 + 100 * 0,35 * (2 - 1)/365) = 30,10 - And so on in the same fashion the reward amount increases every day as per the formula below:

V(I am) = A * (0,3 + 0,35 * (N - 1)/365) - We then calculate the reward amount § of all stakers per certain day. Let’s take day 5:

- by this day I am has held his tokens for 5 full days.
- Alice - for 3 full days.
- Bob - for 1 full day.

P(I am).5 = V(I am).5 / ( V(I am).5 + V(Alice).5 + V(Bob).5) =

= 100 * (0,3 + 0,35 * (5 -1)/365) / (100 * (0,3 + 0,35 * (5 -1)/365) + 300 * (0,3 + 0,35 * (3 -1)/365 + 600 *(0,3 + 0,35 * (1 - 1) / 365) = 0,100956

- Hence, the reward for day 5 from the daily norm of 3571,43 RARI would equal:

S(I am).5 = P(I am).5 * 3571,43 = 360, 56 RARI - This happens every day and once 25000 tokens are given to all stakers, you get:

S(I am)(1…7) = 3571,43 + 3571,43 + 897,13 + 897,12+ 360, 56 + 360, 55 + 360,54 = 10018,76 RARI

**Benefits:**

- Platform participants will want to be more active
- Increased interest in increasing the liquidity pool
- This formula system will be more powerful and relevant than on the other platforms(NFT)
- There will be constant support for active participants from the Rarible(DAO)

**You can also vote**: https://snapshot.org/#/rarible/proposal/QmejRxboLiQ8GdTHiM1xhpgTuyooTWW8hy9gtgUfB89sTU

**Full version** (with graphics and spreadsheet):