# Accrual for Pirates and Items

**Genesis Pirates** accrue **$ARRC** token from Treasury depending on the pool portion they hold. The amount of **$RUM** received depends on the number of percentage portion that the Pirate has in relation to all participants in the **$ARRC** token accrual rewards pool allocated from the Treasury for the day on which tokens from the Smart Contract can be claimed.

All **Genesis Pirates**, some buildings, integrated items that **Genesis Pirates** possess, and NFT items, give **$ARRC** token accrual in the pool allocated for rewards. The more accruals a **Genesis Pirate** has, the more tokens they get each month (4 weeks season).

**To get tokens from the share pool a given Pirate:** \
• Must be in the player's wallet for the full token accrual period, which lasts a month. If transferred to another wallet (sale or transfer), they lose their rights to portion. \
• The NFT item must be assigned to the Pirate in order to accrue portion.

|                                                                   | Number of Shares |
| ----------------------------------------------------------------- | :--------------: |
| Genesis Pirate                                                    |         1        |
| Items integrated with the Genesis Pirates, e.g., the golden belt. |     0.1 to 5     |
| NFT items assigned to the Genesis Pirates                         |     0.1 to 5     |
| Holders of the Silver Order of the Pioneer                        |   Multiplier x4  |
| Holders of the Gold Order of the Pioneer                          |   Multiplier x5  |

{% hint style="info" %}
For details on the amount of bonus added by an item, see the attachment: Appendix: Table of items - [$RUM Accruals](/en/attachments/usdarrc-accruals.md)
{% endhint %}

The proportion of paid rewards is proposed by the **PIRATE REPUBLIC**, within the ranges presented in the table below:

|                                                                                                                                                                                |
| ------------------------------------------------------------------------------------------------------------------------------------------------------------------------------ |
| <p>The formula for calculating how many portion belong to a single Pirate: <br>PIRATE\_PORTION\_NUMBER = (GENESIS\_PIRATE\_PORTION + ITEMS\_BONUS) \* GENESIS PIRATE BADGE</p> |
| <p>The formula for calculating how many tokens a single portion is worth: <br>TOKENS = TOKENS\_IN\_THE\_POOL / SUM(ALL ELIGIBLE PIRATE PORTION NUMBERS)</p>                    |
| <p>The formula for calculating how many tokens a given pirate will receive: <br>RECEIVED\_TOKENS = TOKENS \* PIRATE\_PORTION\_NUMBER</p>                                       |
| <p>TOKENS\_IN\_THE\_POOL = 1 000 000 <br>SUM (ALL ELIGIBLE PIRATE PORTION NUMBERS) = 25000</p>                                                                                 |
| <p>TOKENS = 1 000 000 / 25000 = 40 <br>RECEIVED\_TOKENS = 26.4 \* 40 = 1056</p>                                                                                                |

| Example:                                                                                             |
| ---------------------------------------------------------------------------------------------------- |
| GENESIS\_PIRATE\_PORTION = 1                                                                         |
| <p>ITEMS\_BONUS = SUM(\[1, 0.5, 5, 0.1]) = 6.6<br>(sum of all items giving bonus to accrue $RUM)</p> |
| ORDER\_BONUS = 4 (bonus from special pioneer orders)                                                 |
| PIRATE\_PORTION\_NUMBER = (1+6.6)\*4 = 26,4                                                          |

In the above example, each portion is 40 $RUM tokens claimable each month. This will change if there are fewer or more tokens in the pool, and more items are added to ALL\_ITEMS\_PORTIONS. Each month there are tokens added from vesting into the Pirates reward pool.


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