> For the complete documentation index, see [llms.txt](https://pamperedpandas.gitbook.io/pamperedpandas/llms.txt). Markdown versions of documentation pages are available by appending `.md` to page URLs; this page is available as [Markdown](https://pamperedpandas.gitbook.io/pamperedpandas/the-pandaverse/rewards.md).

# Rewards

We aim to incentivize holding rewarding our holders through [staking](/pamperedpandas/the-pandaverse/features/staking.md) and [royalties](/pamperedpandas/the-pandaverse/features/royalties.md).  

I. The *staking* rewards are calculated as such:

$$
R\_\alpha=  \frac{N\*\gamma}{\textstyle\sum\_{i=1}^nP\_1...P\_n}
$$

Where:

* $$R\_\alpha$$ = Allocation of staking returns in %
* $$N$$ = Amount of Pampered Pandas staked
* $$\gamma$$ = Rarity multiplier 
* $$\textstyle\sum\_{i=1}^n P\_1...P\_n$$ = The total sum of all staked Pampered Pandas times their respective rarity multiplier

We can define $$R\_\alpha$$ as a function of the multiplier with the total staking rewards (S) and duration in days (D), which gives us the received stakings rewards($$\psi$$):

$$
\psi = R\_\alpha *S*D
$$

II. The *royalties* are calculated through the following formula:

$$
\omega = \frac{\nu\*\gamma}{\textstyle\sum\_{i=1}^nM\_1...M\_n}
$$

Where:

* $$\omega$$= Allocation of royalties in %
* $$\nu$$= Amount of Pampered Pandas owned
* $$\gamma$$ = Rarity Multiplier
* $$\textstyle\sum\_{i=1}^nM\_1...M\_n$$ = The total sum of all minted Pampered Pandas times their respective rarity multiplier 

We can define $$\omega$$ as a function of the multiplier with the total royalties (C), which gives us the received royalties ($$\rho$$):

$$
\rho = C\*\omega
$$


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