# Withdraw/Redeem

The protocol's asset redemption mechanism also consists of two modes: the stability phase and the adjustment phase.

## Stability Mode

During the stability phase, users must hold a fixed ratio of ZUSD and xiBGT to redeem the corresponding iBGT from the Vault. For example, if a user wishes to redeem a certain amount of xiBGT, they need to pair it with the corresponding quantity of ZUSD, and vice versa. The calculation formula is as follows:

$$\Delta ZUSD = \frac{\Delta xiBGT \times M\_{ZUSD}}{M\_{xiBGT}}$$

The amount of iBGT redeemed with the paired $$\Delta xiBGT$$ and $$\Delta ZUSD$$ is:

$$\Delta iBGT = \frac{\Delta xiBGT \times M\_{iBGT}}{M\_{xiBGT}}$$

{% hint style="info" %}
**Example:**

Based on the data from the previous example, where there are a total of 7 iBGT in the Vault, the protocol has generated 93.33 ZUSD, and 2.33 xiBGT, when a user wishes to redeem 1 xiBGT, they need to accompany it with ZUSD for redemption. The required amount of ZUSD to accompany the redemption is:

$$\Delta ZUSD = \frac{\Delta xiBGT \times M\_{ZUSD}}{M\_{xiBGT}} = \frac{1 \times 93.33}{2.33} = 40$$

Then, the amount of iBGT to redeem when accompanying 1 xiBGT with 40 ZUSD for redemption (assuming no transaction fees) is:

$$\Delta iBGT = \frac{\Delta xiBGT \times M\_{iBGT}}{M\_{xiBGT}} = \frac{1 \times 7}{2.33} \times 1 = 3$$
{% endhint %}

***

## Adjustment Mode

When the protocol enters the adjustment phase, the user redemption rules change. If AAR rises above AARU, users can redeem xiBGT alone. The redemption quantity calculation formula is as follows:

$$\Delta iBGT = \frac{\Delta xiBGT \times (M\_{iBGT} \times P\_{iBGT} - M\_{ZUSD})}{M\_{xiBGT} \times P\_{iBGT}}$$

If AAR falls below AARS, users can redeem ZUSD alone, and the quantity calculation formula is as follows:

$$\Delta iBGT = \frac{\Delta ZUSD}{P\_{iBGT}}$$

In the extreme scenario where AAR falls below 100%, the USB redemption mechanism is as follows:

$$\Delta iBGT = \frac{\Delta ZUSD \times M\_{iBGT}}{M\_{ZUSD}} \quad \text{if AAR} < 100%$$

Excluding the two situations mentioned above, users still need to pair two assets together for redemption.

{% hint style="warning" %}
The redemption fee is 0.5%
{% endhint %}


---

# Agent Instructions: Querying This Documentation

If you need additional information that is not directly available in this page, you can query the documentation dynamically by asking a question.

Perform an HTTP GET request on the current page URL with the `ask` query parameter:

```
GET https://doc.zoofi.io/berachain-eco/liquidity-vault-l-vault/withdraw-redeem.md?ask=<question>
```

The question should be specific, self-contained, and written in natural language.
The response will contain a direct answer to the question and relevant excerpts and sources from the documentation.

Use this mechanism when the answer is not explicitly present in the current page, you need clarification or additional context, or you want to retrieve related documentation sections.