> For the complete documentation index, see [llms.txt](https://whitepaper.usegpu.app/llms.txt). Markdown versions of documentation pages are available by appending `.md` to page URLs; this page is available as [Markdown](https://whitepaper.usegpu.app/reward-economics/reward-calculation.md).

# Reward Calculation

Calculate epoch-level mining rewards using trading volume, creator-fee allocation, and each miner's share of total mining power.

Mining rewards move from trading activity to an epoch pool, then to miners by Mining Power. This calculation uses the Phase 1 creator-fee model.

{% hint style="info" %}
The effective mining share is `0.105%` of trading volume: `0.30% × 35%`. It is not an on-chain token tax. The token's on-chain tax is `0%`
{% endhint %}

### Calculation sequence

1. Calculate the creator fee from daily trading volume
2. Allocate 35% of that fee to the Mining Pool
3. Divide the daily Mining Pool across 48 epochs
4. Allocate each epoch pool by proportional Mining Power

| Variable | Definition             |      Value or unit |
| -------- | ---------------------- | -----------------: |
| `V`      | Daily trading volume   |            USD/day |
| `C`      | Creator-fee rate       |              0.30% |
| `M`      | Mining allocation      |                35% |
| `E`      | Epochs per day         |                 48 |
| `P`      | A miner's Mining Power | Mining Power units |
| `T`      | Total Mining Power     | Mining Power units |

### Core equations

$$
\text{Creator Fee Revenue} = V \times C
$$

$$
\text{Daily Mining Pool} = V \times C \times M = V \times 0.105%
$$

$$
\text{Average Epoch Pool} = \frac{\text{Daily Mining Pool}}{E}
$$

$$
\text{Miner Payout per Epoch} = \frac{P}{T} \times \text{Epoch Pool}
$$

The creator fee measures revenue from trading activity. The mining allocation selects the Mining Pool share of that fee. The epoch pool makes the daily pool available across 30-minute epochs. Mining Power determines each miner's proportional claim on that epoch pool.

### Worked example: $50,000 daily volume

#### Inputs

| Input                |   Value |
| -------------------- | ------: |
| Daily trading volume | $50,000 |
| Creator-fee rate     |   0.30% |
| Mining allocation    |     35% |
| Epochs per day       |      48 |

#### Calculation

$$
\text{Creator Fee Revenue} = $50{,}000 \times 0.30% = $150 \text{/day}
$$

$$
\text{Daily Mining Pool} = $150 \times 35% = $52.50 \text{/day}
$$

$$
\text{Average Epoch Pool} = $52.50 \div 48 = $1.09375 \approx $1.09
$$

If a miner has 10% of total Mining Power:

$$
\text{Illustrative Miner Payout} = 10% \times $1.09375 = $0.109375 \approx $0.11 \text{ per epoch}
$$

At the same 10% Mining Power share, the formula gives `$5.25/day` from a `$52.50/day` pool. The payout follows Mining Power, not token ownership alone.

### Worked example: $200,000 daily volume

#### Inputs

| Input                |    Value |
| -------------------- | -------: |
| Daily trading volume | $200,000 |
| Creator-fee rate     |    0.30% |
| Mining allocation    |      35% |
| Epochs per day       |       48 |

#### Calculation

$$
\text{Creator Fee Revenue} = $200{,}000 \times 0.30% = $600 \text{/day}
$$

$$
\text{Daily Mining Pool} = $600 \times 35% = $210 \text{/day}
$$

$$
\text{Average Epoch Pool} = $210 \div 48 = $4.375 \approx $4.38
$$

A miner's epoch payout remains their Mining Power share multiplied by `$4.375`. For example, a 10% Mining Power share corresponds to approximately `$0.44` per epoch.

### What determines the miner share

Token ownership, locked token amount, Mining Power, and Mining Pool share are separate concepts:

| Concept             | Meaning                                           |
| ------------------- | ------------------------------------------------- |
| Token ownership     | Tokens held by a participant                      |
| Locked token amount | Tokens committed to mining                        |
| Mining Power        | The measure used to calculate a miner's share     |
| Mining Pool share   | The resulting proportional claim on an epoch pool |

A token balance does not itself define the payout. The applicable Mining Power relative to total Mining Power determines the proportional share.


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