# The $GOLD Multiplier
The Kingdom will ensure all Guild members (NFT holders) earn more in-game $GOLD from the treasury for their loyalty to the crown. Long live the king!
Each players $GOLD multiplier will be calculated based on the **number of Guildies owned** by the player along with **Guildies' rarity/rarities**.
**There are a total of 8,888 Pixel Guild NFTs,** [**and 4 Guilds**](https://docs.pixelguild.gg/pixelguild/guild-heroes/warriors)**. Each Guild is made up of 2,222 NFTs.**
The $GOLD multiplier is calculated based on the two aspects mentioned above, and for any Guildie holder will **always be equal to or more than 3x, and can range all the way up to 5x**! Let's dive into the two aspects of the multiplier with a bit more detail:
1. **Guild Rarity -** This is how rare the NFTs are **within the Guild it belongs to**. Thus the Guild rarity rank of the NFT will always be betwen 1 (the rarest NFT within the Guild) to 2,222 (the least rare NFT within the Guild). The rarity ranking is used to calculate the rarity multiplier.
2. **Number of NFTs held -** The more guildies held - up to a cap of 10 Guildies - the higher the $GOLD multiplier.
Once the **rarity** and the **holding** *(number of NFTs held)* multipliers are calculated, they are then multiplied by each other for the $GOLD multiplier.
$$ $GOLD\_{multiplier} = Holding\_{multiplier} \* Rarity\_{multiplier} $$
Both multipliers are valued equally, and both take values between $$\[\sqrt{3} -> \sqrt{5}]$$. Yes, rarity is worth something, and so too is holding multiple NFTs! Below each multiplier is individually explained, some base examples are shown, a graph of how the multiplier values vary, and most importantly - lookup tables to let you work out your $GOLD multiplier, are presented.
As long as player owns at least one Guildie, they will always have a $GOLD multiplier of at least 3x. Adding another guildie to the squad up to the cap of 10 will always ensure that the players $GOLD multiplier increases, as the holding multiplier can only increase.
#### Holding Multiplier
The Holding multiplier looks at how many Guildies are owned by the player, and from that number calculates it's value.
* If the player owns one Guildie then the Holding multiplier will be $$\sqrt{3}$$.
* If the player owns 10 or more Guildies then the Holding multiplier will be $$\sqrt{5}$$.
**Holding Multiplier Look up table:**
| Guildies Held | Holding Multiplier |
| ------------- | ------------------ |
| 1 | 1.73 |
| 2 | 1.86 |
| 3 | 1.92 |
| 4 | 1.95 |
| 5 | 1.98 |
| 6 | 2.00 |
| 7 | 2.02 |
| 8 | 2.05 |
| 9 | 2.11 |
| 10 | 2.24 |
Holding multiplier variation vs # of Guildies owned
#### **Rarity Multiplier**
The Rarity multiplier looks at the Guildie with highest Guild Rarity that is owned, and uses the Guild Rarity ranking to calculate it's value.
* A guildie with the highest Guild rarity (rank 1) will produce a Rarity multiplier of $$\sqrt{5}$$**.**
* A guildie with the lowest Guild rarity (rank 2,222) will produce a Rarity multiplier of $$\sqrt{3}$$.
Rarity Multiplier Lookup table:
| Max Guild Rarity | Rarity Multiplier |
| ---------------- | ----------------- |
| 1 | 2.24 |
| 222 | 2.11 |
| 444 | 2.05 |
| 666 | 2.02 |
| 888 | 2.00 |
| 1110 | 1.98 |
| 1332 | 1.95 |
| 1554 | 1.92 |
| 1776 | 1.86 |
| 2222 | 1.73 |
