APR Calculation for Liquidity Pools and Positions

This page illustrates how individual APRs vary based on the proportion of active liquidity each provider contributes within the fee-generating price bin.

Formula

Pool APR = (Fees+Rewards) / Active Pool Value

Your Position APR = (Fees+Rewards) * (Your Active Position LP Units / Active Pool LP Units) / Your Position Value

Example

Consider a pool with three liquidity providers where the current price is in bin P.

• A deposits $1000 entirely within the active price bin P and receives 1000 active LP units.

• B deposits $1000, spreading it evenly across 100 bins, receiving only 9 active LP units.

• C deposits $1000, but none of the funds falls into bin P, so this position is inactive and receives 0 active LP units.

• The pool generated $100 in fees within bin P.

APR Calculation:

• Pool APR = $100/$2000 = 5%

• A's Position APR = $100* (1000 /1009) / $1000 = 9.91%

• B's Position APR = $100* (9 /1009) / $1000 = 0.089%

• C's Position APR = $100* (0 /1009) / $1000 = 0%

Understand the APR Calculation from a real-world example:

https://hyperionxyz.medium.com/understanding-hyperion-lp-apr-through-a-parking-lot-analogy-061c7a1c4e95