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PhilippGackstatter committed Nov 3, 2023
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15 changes: 7 additions & 8 deletions tips/TIP-0040/tip-0040.md
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Expand Up @@ -513,16 +513,15 @@ The following section specifies how to convert the slot-level data into epoch-le
#### Parameters needed for calculations:

- `Bootstrapping Duration` = 1154 (approximately 3 years)
- `Rewards Mana Share Coefficient` = 2 (relative to the term $\theta/(1-\theta)$ from the Whitepaper, with
$\theta = 2/3$)
- `Rewards Mana Share Coefficient` = 2 (relative to the term $\theta/(1-\theta)$ from the Whitepaper, with $\theta =
2/3$)
- `Final Reward` =
`(Total Supply * Rewards Mana Share Coefficient * generationRate) >> (generationRateExponent - slotsPerEpochExponent) `
`(Total Supply * Rewards Mana Share Coefficient * generationRate) >> (generationRateExponent - slotsPerEpochExponent)`
(constant reward per epoch after the bootstrapping phase)
- `Decay Balancing Constant Coefficient` = 8
- `Decay Balancing Constant = ` (integer approximation of
$2^{\text{Decay Balancing Constant Coefficient}}\frac{e \Delta}{T(1-\exp{(-\beta \Delta)})}$, for $Delta =$ epoch
duration in years, $T=$ `Bootstrapping Duration`, and $\beta=1/3$). For `Decay Balancing Constant Coefficient` = 8,
`Decay Balancing Constant` = 696.
- `Decay Balancing Constant =` (integer approximation of $2^{\text{Decay Balancing Constant Coefficient}}\frac{e
\Delta}{T(1-\exp{(-\beta \Delta)})}$, for $Delta =$ epoch duration in years, $T=$ `Bootstrapping Duration`, and
$\beta=1/3$). For `Decay Balancing Constant Coefficient` = 8, `Decay Balancing Constant` = 696.
- `Initial Reward` = `(Final Reward * Decay Balancing Constant) >> Decay Balancing Constant Coefficient` (parameter to
calculate the reward per epoch in the bootstrapping phase)
- `Pool Coefficient Exponent` = 11
Expand Down Expand Up @@ -586,7 +585,7 @@ the amount of Mana Rewards that can be claimed is defined as follows.
Calculate the `Undecayed Rewards(n)` for each epoch `n` in the validation period. If `Pool Rewards(n)-Fixed Cost≥0`,
it will be given by:
- `Undecayed Rewards(n)` = `Fixed Cost + Profit Margin Factor + Residual Validator Factor` where -
`Profit Margin Complement = (1 << ProfitMarginExponent) - Profit Margin(n) ` -
`Profit Margin Complement = (1 << ProfitMarginExponent) - Profit Margin(n)` -
`Profit Margin Factor = (Profit Margin(n) * (Pool Rewards(n)-Fixed Cost)) >> ProfitMarginExponent` -
`Residual Validator Factor = ((Profit Margin Complement * (Pool Rewards(n)-Fixed Cost)) >> ProfitMarginExponent) * Staked Amount/Pool Stake(n)`.
Note that `((Profit Margin Complement * Pool Rewards(n)) >> ProfitMarginExponent) * Staked Amount` uses up to 94
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