Interest Rate Model

Borrow Interest Rate Model
Coslend use Jump model, the interest rate curve is split in two parts around an optimal utilisation rate UoptimalU_{optimal} Uoptimal​
. 
The borrow interest rateRtR_tRt​
 follows the model:
​ifU<Uoptimal:Rt=R0+UtUoptimalRslope1if \hspace{1mm} U < U_{optimal}:  \hspace{1cm}  R_t = R_0 + \frac{U_t}{U_{optimal}} R_{slope1}ifU<Uoptimal​:Rt​=R0​+Uoptimal​Ut​​Rslope1​
   
​ifU≥Uoptimal:Rt=R0+Rslope1+Ut−Uoptimal1−UoptimalRslope2if \hspace{1mm} U \geq  U_{optimal}:  \hspace{1cm} R_t = R_0 + R_{slope1} + \frac{U_t-U_{optimal}}{1-U_{optimal}}R_{slope2}ifU≥Uoptimal​:Rt​=R0​+Rslope1​+1−Uoptimal​Ut​−Uoptimal​​Rslope2​
​
Before  UoptimalU_{optimal} Uoptimal​
the slope is small, after it starts rising sharply. 
Supply Interest Rate
The borrow interest rates paid are distributed as yield for cToken holders who have supplied in the protocol, excluding a share of yields sent to the ecosystem reserve defined by the reserve factor. This interest rate is paid on the capital that is lent out then shared among all the liquidity providers.
 The supply interest rate, St=Ut∗Rt∗(1−ReserveFactor)S_t = U_t *R_t*(1-Reserve Factor)St​=Ut​∗Rt​∗(1−ReserveFactor)
​
​UtU_tUt​
, the utilization ratio
​RtR_tRt​
, the borrow rate
​ReserveFactorReserve FactorReserveFactor
, the reserve factor
APR & APY Calculation
APR
borrowRateAPR = borrowRatePerSec * secsPerYear* 100 / 1e18   
supplyRateAPR = supplyRatePerSec * secsPerYear* 100 / 1e18
APY
borrowRateAPY = ((1 + borrowRatePerBlock/1e18) ** secsPerYear - 1) * 100   
supplyRateAPY =  ((1 + supplyRatePerBlock /1e18) ** secsPerYear - 1) * 100
​
**SecsPerYear = 60*60*24*365 = 31,536,000
Interest Rate Model Parameters & Curves
Stablecoin
Asset
​UoptimalU_{optimal} Uoptimal​
​
Base
Slope 1
Slope 2
USDC
80%
0%
4%
21.8%
USDT
80%
0%
4%
21.8%
FRAX
80%
0%
4%
21.8%
DAI
80%
0%
4%
21.8%
Major
Asset
​UoptimalU_{optimal} Uoptimal​
​
Base
Slope 1
Slope 2
WETH
80%
2%
18%
20%
WBTC
80%
2%
18
20%
Eco
Asset
​UoptimalU_{optimal} Uoptimal​
​
Base
Slope 1
Slope 2
EVMOS
50%
2%
10%
150%
​
Related Smart Contracts
Asset
Token
cToken
Interest Rate Model
USDC
0x51e44FfaD5C2B122C8b635671FCC8139dc636E82
0xc20712e5D23E8b2F6b0fb450238819AC54E9b752
0x94B56C71e2243bC1E40Ab9bA28C890459e4Cd0B5
USDT
0x7FF4a56B32ee13D7D4D405887E0eA37d61Ed919e
0x02684f6C0be4EdBeD82019C3C159a36CCFd7E7a3
0x94B56C71e2243bC1E40Ab9bA28C890459e4Cd0B5
FRAX
0xE03494D0033687543a80c9B1ca7D6237F2EA8BD8
0xd58e11AA32878617248Eb956891cB22438D4A0FD
0x94B56C71e2243bC1E40Ab9bA28C890459e4Cd0B5
WETH
0x5842C5532b61aCF3227679a8b1BD0242a41752f2
0x16B77c79f7F03cEc6536dBceAf825DB60B0Dd675
0x49881448d25205aB9853b05A110b6cEd464C3e4B
WBTC
0xF80699Dc594e00aE7bA200c7533a07C1604A106D
-
0x49881448d25205aB9853b05A110b6cEd464C3e4B
EVMOS
0xEeeeeEeeeEeEeeEeEeEeeEEEeeeeEeeeeeeeEEeE
-
0x8bAd570e9AB4e90407e46a05aCEF2DeD5d8d5148
OSMO
0xFA3C22C069B9556A4B2f7EcE1Ee3B467909f4864
-
0x8bAd570e9AB4e90407e46a05aCEF2DeD5d8d5148
ATOM
​
-
0x8bAd570e9AB4e90407e46a05aCEF2DeD5d8d5148
​

Asset	Token	cToken	Interest Rate Model
USDC	0x51e44FfaD5C2B122C8b635671FCC8139dc636E82	0xc20712e5D23E8b2F6b0fb450238819AC54E9b752	0x94B56C71e2243bC1E40Ab9bA28C890459e4Cd0B5
USDT	0x7FF4a56B32ee13D7D4D405887E0eA37d61Ed919e	0x02684f6C0be4EdBeD82019C3C159a36CCFd7E7a3	0x94B56C71e2243bC1E40Ab9bA28C890459e4Cd0B5
FRAX	0xE03494D0033687543a80c9B1ca7D6237F2EA8BD8	0xd58e11AA32878617248Eb956891cB22438D4A0FD	0x94B56C71e2243bC1E40Ab9bA28C890459e4Cd0B5
WETH	0x5842C5532b61aCF3227679a8b1BD0242a41752f2	0x16B77c79f7F03cEc6536dBceAf825DB60B0Dd675	0x49881448d25205aB9853b05A110b6cEd464C3e4B
WBTC	0xF80699Dc594e00aE7bA200c7533a07C1604A106D	-	0x49881448d25205aB9853b05A110b6cEd464C3e4B
EVMOS	0xEeeeeEeeeEeEeeEeEeEeeEEEeeeeEeeeeeeeEEeE	-	0x8bAd570e9AB4e90407e46a05aCEF2DeD5d8d5148
OSMO	0xFA3C22C069B9556A4B2f7EcE1Ee3B467909f4864	-	0x8bAd570e9AB4e90407e46a05aCEF2DeD5d8d5148
ATOM		-	0x8bAd570e9AB4e90407e46a05aCEF2DeD5d8d5148

Last modified 10mo ago

Asset	$U_{optimal}$	Base	Slope 1	Slope 2
USDC	80%	0%	4%	21.8%
USDT	80%	0%	4%	21.8%
FRAX	80%	0%	4%	21.8%
DAI	80%	0%	4%	21.8%