Redeeming AGOBTC & AGOUSD

Redeeming explanation

The process of redeeming implies returning the collateralized tokens AGOUSD / AGOBTC back to the protocol and, in return, receiving back the user's collateral assets and the required amount of share tokens CNBTC / CNUSD, which are required to reach desired equality. This in turn means that with every $1 value, users will receive part of the collateral together with the part of share tokens.

The redeeming formula works based on the Effective Collateral Ratio (ECR) and applies for both algorithmic tokens:

$$Collateral(WBTC/USDT) _{Amount}= \cfrac{AGOBTC/AGOUSD_{Amount}×ECR}{Collateral(WBTC/USDT) _{Price}}$$

$$Share (CNBTC/CNUSD)_{Amount}= \cfrac{AGOBTC/AGOUSD_{Amount}×(1-ECR)}{Share (CNBTC/CNUSD)_{Price}}$$

Now, let's take a look at the following situations, using different input data.

Set - up №1:

• ECR - 100%

• USDT price - $1.00

USDT_{Amount}= \cfrac{100_{AGOUSD}}{$1} = 100_{USDT}

Set - up №2:

• ECR is equal to 80%

• WBTC price - $59,000.00

• CNBTC - $18,000.00

• The user wants to redeem 1 AGOBTC

$$WBTC_{Amount}= \cfrac{1_{AGOBTC}×\overbrace{80\%}^{\text{ECR}}}{\underbrace{59000}_{\text{WBTC price}}} = 0.00001356_{WBTC}$$

$$CNBTC_{Amount}= \cfrac{1_{AGOBTC}×(1-\overbrace{80\%}^{\text{ECR}})}{\underbrace{18000}_{\text{CNBTC price}}} = 0.00001111_{CNBTC}$$

Summarizing all the above, when the user redeems 1 AGOBTC, he receives 0.00001356 WBTC and 0.00001111 at the WBTC price - $59,000.00 and ECR level of 80%.

$$\text{Total Value} =(0.00001356_{WBTC}×59000) +(0.00001111_{CNBTC}×18000)= 0.80004+0.19998=1.00002$$

The basic redeeming fee is configured to 0.4% but can be decreased to 0.2% by holding the AGO governance token on the wallet.