🔢Parameters

There is an explanation of the following parameters in Model Parameters.

A. Reserve Factor

$$\begin{align*} \eta = 5\% \end{align*}$$

$\eta$ the fraction of the total Variable Rate Pool deposits established as Liquidity Reserves can't be borrowed and will only be available for withdrawals.

B. Treasury Fee

The treasury fee refers to the percentage of interest rate charges paid by borrowers that the protocol retains for its treasury.

• Treasury Fee on OP Mainnet

$$\begin{align*} \lambda_r = 20\% \end{align*}$$

OP Mainnet Treasury multisig address: https://optimistic.etherscan.io/address/0x23fd464e0b0ee21cedeb929b19cabf9bd5215019

• Treasury Fee on Ethereum Mainnet

$$\begin{align*} \lambda_r = 0\% \end{align*}$$

C. Optimism Mainnet Interest Rate Curves

• USDC

Parameter	Value
$A$=	4.7074e-03
$B$=	3.8577e-02
$U_{max}$=	1.200000000
$U_{liq}0$=	0.880000000
$k_{sigmoid}$=	2.500000000
$α$=	1.250000000

• USDC.e

Parameter	Value
$A$=	4.7074e-03
$B$=	3.8577e-02
$U_{max}$=	1.200000000
$U_{liq}0$=	0.880000000
$k_{sigmoid}$=	2.500000000
$α$=	1.250000000

• WETH

Parameter	Value
$A$=	1.0164e-03
$B$=	1.8718e-02
$U_{max}$=	1.300000000
$U_{liq}0$=	0.880000000
$k_{sigmoid}$=	2.500000000
$α$=	1.100000000

• wstETH

Parameter	Value
$A$=	1.0164e-03
$B$=	1.8718e-02
$U_{max}$=	1.300000000
$U_{liq}0$=	0.880000000
$k_{sigmoid}$=	2.500000000
$α$=	1.100000000

• OP

Parameter	Value
$A$=	3.3634e-02
$B$=	-1.5528e-02
$U_{max}$=	1.200000000
$U_{liq}0$=	0.600000000
$k_{sigmoid}$=	2.500000000
$α$=	1.100000000

• WBTC

Parameter	Value
$A$=	8.5903e-02
$B$=	7.1813e-02
$U_{max}$=	1.050000000
$U_{liq}0$=	0.500000000
$k_{sigmoid}$=	2.500000000
$α$=	2.000000000

D. Base Interest Rate Curves

• USDC

Parameter	Value
$A$=	5.0000e-02
$B$=	1.1000e-01
$U_{max}$=	1.300000000
$U_{liq}0$=	0.880000000
$k_{sigmoid}$=	2.500000000
$α$=	1.300000000

• WETH

Parameter	Value
$A$=	1.9500e-02
$B$=	4.0000e-02
$U_{max}$=	1.300000000
$U_{liq}0$=	0.880000000
$k_{sigmoid}$=	2.500000000
$α$=	1.100000000

• wstETH

Parameter	Value
$A$=	1.9500e-02
$B$=	4.0000e-02
$U_{max}$=	1.300000000
$U_{liq}0$=	0.880000000
$k_{sigmoid}$=	2.500000000
$α$=	1.100000000

• cbBTC

Parameter	Value
$A$=	1.0000e-02
$B$=	1.5000e-01
$U_{max}$=	1.050000000
$U_{liq}0$=	0.500000000
$k_{sigmoid}$=	2.500000000
$α$=	2.000000000

• cbXRP

Parameter	Value
$A$=	1.5000e-02
$B$=	2.0000e-01
$U_{max}$=	1.400000000
$U_{liq}0$=	0.500000000
$k_{sigmoid}$=	2.500000000
$α$=	1.250000000

E. Ethereum Mainnet Interest Rate Curves

• WETH

Parameter	VRP Value	FRP Value
$A$ =	1.9362e-2	3.8126e-1
$B$ =	-1.787e-3	-3.6375e-1
$U_{max}$=	1.003870947	1.000010695

• DAI

Parameter	VRP Value	FRP Value
$A$ =	1.7852e-2	3.9281e-1
$B$ =	-2.789e-3	-3.7781e-1
$U_{max}$=	1.003568501	1.000014451

• USDC

Parameter	VRP Value	FRP Value
$A$ =	1.4844e-2	3.9281e-1
$B$ =	1.9964e-4	-3.7781e-1
$U_{max}$=	1.002968978	1.000014451

• WBTC

Parameter	VRP Value	FRP Value
$A$ =	2.7194e-2	4.6586e-1
$B$ =	3.0160e-2	-4.1345e-1
$U_{max}$=	1.007776377	1.050553997

• wstETH

Parameter	VRP Value	FRP Value
$A$ =	1.9362e-2	3.8126e-1
$B$ =	-1.787e-3	-3.6375e-1
$U_{max}$=	1.003870947	1.000010695

• OP

Parameter	VRP Value	FRP Value
$A$ =	2.8487e-2	3.5815e-1
$B$ =	-5.8259e-3	-3.3564e-1
$U_{max}$=	1.005690787	1.000005527

These parameters are utilized to calculate the effective borrow interest rate.

F. Risk Factors

• OP Mainnet

Asset	Value
WETH	0.86
USDC	0.91
USDC.e	0.91
WBTC	0.78
wstETH	0.82
OP	0.58

• Base

Asset	Value
WETH	0.86
USDC	0.91
cbBTC	0.85
wstETH	0.82
cbXRP	0.60

• Ethereum Mainnet

Asset	Value
WETH	0.86
DAI	0.90
USDC	0.91
WBTC	0.85
wstETH	0.82

We associate a Risk-Adjust Factor to each asset to assess each collateral asset's borrow and lending power.

To assess the Risk-Adjust Factor for each asset in the protocol, you can query the markets() function of the Auditor contract. This can be done using Etherscan, a blockchain explorer.

Follow the steps below to check the Risk-Adjust Factor for a specific asset:

1. Go to the Auditor contract on Etherscan by navigating to the following URL: https://etherscan.io/address/0x310A2694521f75C7B2b64b5937C16CE65C3EFE01#readProxyContract#F17 (for other networks, go to Smart Contract Addresses and click on the address of the desired Auditor contract)

2. To query the markets In that contract, you will need the market contract address for the specific asset. For example, you can use the following address to check the Risk-Adjust Factor for USDC: 0x660e2fC185a9fFE722aF253329CEaAD4C9F6F928. All addresses for each network (Mainnet, Optimism, et al.) are available in Smart Contract Addresses.

3. Click the "Query" button to call the function. The result will display various information about the market, including the Risk-Adjust Factor.

4. The Risk-Adjust Factor will be returned as adjustFactor. In this case, 910000000000000000 equals 0.91.

Following these steps, you can check the Risk-Adjust Factor for any asset in the protocol by simply replacing the market contract address with the one corresponding to the desired asset.

F. Variable Rate Pool Fee

$$\begin{align*} \delta = 10\% \end{align*}$$

$\delta$ is the fraction of the fixed interest rate fees retained by the Variable Rate Pool upon leaving the Fixed Rate Pool.

G. Supply E.M.A. Parameters

$$\begin{align*} \beta_{slow} = 0.000053 \end{align*}$$

The time decay parameter is used when the supply is above average.

$$\begin{align*} \beta_{fast} = 0.4000 \end{align*}$$

The time decay parameter is used when the supply is below average.

H. Target Solvency Ratio

$$\begin{align*} \Gamma = 1.25 \end{align*}$$

Target solvency ratio after liquidation.

I. Liquidation Bonuses

$$\begin{align*} \nu_{liquidator} = 5.00\% \\ \nu_{bad-debt} = 0.25\% \end{align*}$$

During the liquidation process, the liquidator gets a commission fee, and the Variable Rate Pool receives a percentage of extra liquidation fees to compensate for potential bad debt residuals.

J. Extraordinary Earnings Distribution Factor

$$\begin{align*} \xi_{extearn} = 2.00 \end{align*}$$

K. Penalty Rate

$$\begin{align*} DailyPenaltyRate = 0.45\% \end{align*}$$

The daily penalty rate fee is charged to fixed interest rate borrowers who didn't pay their loans on time. This fee is charged daily after the maturity day.

For example, if your total debt after the maturity date is $100, and you pay 10 days later, the penalty fees will be $4.5 (0.45%*10*$100).