How Yield Works for iAsset Pools

All iAsset pool APYs regardless of pool composition follow the same core principle:

Yield is weight-adjusted based on real-time liquidity distribution.

Atmos :

• Reads official APY values directly from POEL contracts
• Separates Base iAsset APY and Stimulus APY
• Weight-adjusts them using live pool balances
• Distributes rewards proportionally
• Does not penalize or skim emissions

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Pool APY Formula

Let a pool contain $n$ assets. For each asset $i$:

• $T_i$ = TVL of asset $i$
• $I_i$ = Official iAsset APY from POEL (0 if not an iAsset)
• $S_i$ = Stimulus APY (0 if not applicable)

Let:

$$T = \sum_{i=1}^{n} T_i$$

Let:

$$F = \text{DEX Base APY (trading fee yield)}$$

Final Pool APY Formula

The total pool APY is:

$$\boxed{\text{Total Pool APY} = F + \frac{\sum_{i=1}^{n} T_i (I_i + S_i)}{\sum_{i=1}^{n} T_i}}$$

This single expression covers every pool composition by treating non-iAssets as having $I_i = 0, S_i = 0$.

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What This Means

• DEX Base APY $F$ applies to all liquidity.
• Only iAssets have $I_i > 0$.
• Only incentivized iAssets have $S_i > 0$.
• Normal assets have $I_i = 0,\, S_i = 0$.
• Everything is liquidity-weighted by $T_i/T$.

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Case 1 : One iAsset + One Normal Asset

Example: iUSDC / SUPRA

Here:

• iUSDC: $I_{\text{USDC}} > 0,\; S_{\text{USDC}} > 0$
• SUPRA: $I_{\text{SUPRA}} = 0,\; S_{\text{SUPRA}} = 0$

Formula simplifies to:

$$\text{Total APY} = F + \frac{T_{\text{USDC}}(I_{\text{USDC}} + S_{\text{USDC}})}{T_{\text{USDC}} + T_{\text{SUPRA}}}$$

Example numbers

• iUSDC weight = 60%, so $\frac{T_{\text{USDC}}}{T} = 0.60$
• iUSDC APY $I_{\text{USDC}} = 5\%$
• Stimulus APY $S_{\text{USDC}} = 2\%$

Weighted yield contribution from iUSDC:

$$0.60 \times (5\% + 2\%) = 0.60 \times 7\% = 4.2\%$$

Total Pool APY:

$$\text{Total APY} = F + 4.2\%$$

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Case 2 : All Assets Are iAssets

Example: iUSDC / iUSDT

Both assets contribute:

$$\text{Total APY} = F + \frac{T_{\text{USDC}}(I_{\text{USDC}} + S_{\text{USDC}}) + T_{\text{USDT}}(I_{\text{USDT}} + S_{\text{USDT}})}{T_{\text{USDC}} + T_{\text{USDT}}}$$

This is the liquidity-weighted average of the per-asset (iAsset + stimulus) yields plus the DEX base.

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How Boosted APY Is Derived (Implementation)

1. Atmos reads the official iAsset APY directly from POEL contracts.
2. It reads stimulus-adjusted estimated APY from POEL and computes stimulus as the difference (adjusted APY minus base iAsset APY).
3. Atmos fetches real-time pool balances $T_i$.
4. It computes the liquidity-weighted sum $\sum T_i (I_i + S_i)$ and divides by total TVL $T$.
5. Adds the DEX base APY $F$.

Users can verify current asset weights inside:

• Pool Details

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How Stimulus APY Is Derived

1. Atmos reads the stimulus-adjusted estimated APY from POEL.
2. Subtracts the base iAsset APY:

$$S_i = \text{Adjusted POEL APY}_i - I_i$$

3. Treat negative or missing values as $S_i = 0$ where appropriate.
4. Weight-adjust using real-time balances.

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Summary

Every pool APY regardless of composition reduces to:

$$\mathbf{DEX\ Fees} + \mathbf{Liquidity\text{-}Weighted\ (iAsset\ Yield + Stimulus)}$$

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Important Notes

• Atmos receives core APR directly from POEL and only performs liquidity weight adjustment , it does not modify, skim, or penalize any emissions.
• All POEL rewards are distributed proportionally based on real-time pool balances.
• APY values are dynamic and change continuously with market conditions and live liquidity pool balances.
• Displayed APYs are estimates based on current on-chain data and are not guaranteed returns.
• Past yield performance is not indicative of future results. DeFi yields are inherently variable and subject to market risk.
• This is not financial advice (NFA). Always do your own research before providing liquidity.

For a deeper understanding of how iAsset APY is calculated at the protocol level, refer to the Supra POEL Workflow documentation.