APR Formulas

APR Formulas of Chi Protocol's Frontend Interface

This page of the documentation is dedicated to a detailed explanation of the APR calculations used in the Chi Protocol's frontend. Before listing all respective APR calculations, it is important for the reader to understand the following information about the rewards and their distribution periods:

Reward Types and Their Origins

The rewards within the Chi Protocol ecosystem are primarily derived from two key sources:

Protocol Revenue:

• stETH and wETH rewards generated from the protocol's reserves.

• Arbitrage revenue in USC, generated through the Dual Stability Mechanism. For more details, refer to Sustainable Reward Sources and Rewards Generation & Distribution.

CHI Incentives:

These are additional token incentives provided from the Chi Protocol's treasury contract. For more information on the current Rewards Program, visit our Medium.

Rewards Distribution Periods

The rewards within the Chi Protocol ecosystem are distributed according to the following schedule:

Rewards to Stakers:

Rewards to stakers are calculated on a per-second basis and distributed with every Ethereum block. This applies to stakers of stUSC, wstUSC, CHI/ETH LP, and USC/ETH LP.

Rewards to USC and LP Boosters:

Rewards for boosters are calculated on a daily basis and distributed once per day. Boosters include wstUSC boosters, CHI/ETH LP boosters, and USC/ETH LP boosters.

Rewards to CHI Boosters:

Rewards for CHI boosters are calculated on a weekly basis, with each epoch lasting one week, and are distributed once per week.

This foundational understanding is essential for interpreting the APR calculations presented in the following sections.

APR Calculations

Below are the respective formulas used to calculate the APRs for staking contracts within the Chi Protocol User Interface (UI):

stUSC

stUSC APR

wstUSC

wstUSC APR

veCHI

veCHI APR

Staked CHI/ETH LP

Staked CHI/ETH APR

Staked USC/ETH LP

Staked USC/ETH APR

Below are the respective formulas used to calculate the APRs for boosting contracts within the Chi Protocol User Interface (UI):

Boosted stUSC

Boosted stUSC APR

Boosted wstUSC

Boosted wstUSC APR

Boosted CHI/ETH LP

Boosted CHI/ETH LP APR

Boosted USC/ETH LP

Boosted USC/ETH LP APR