# Adapdive Inflation Management

To ensure that the number of 10x Tokens does not exceed 10% of the Pool Cap, Doubler Lite implements inflation management for 10x Tokens.&#x20;

Inflation management maintains the value of 10x tokens in the market circulation and controls the deflation of 10x tokens within the to-be-issued portion to the extent possible. This approach aims to avoid the impact of deflation on the circulated 10x tokens, thereby reducing the holding risk of 10x tokens.

### Inflation and Deflation Trigger Conditions

#### **Inflation**

When the pool's cap increases, the maximum supply of 10x tokens increases. The protocol triggers inflation to mint more 10x tokens.

#### **Deflation**

When the pool's cap decreases, the maximum supply of 10x tokens decreases. The protocol triggers deflation to burn 10x tokens.

> E.g.: The ETH Pool contains 10 ETH, and the current Pool Cap is $30,000 . The maximum issuance of 10x tokens for this pool is 3,000 tokens.
>
> If the price of ETH rises to $4,000 (Spot Price), the Pool Cap becomes $40,000. The maximum issuance of 10x tokens for this pool will increase. The protocol triggers inflation, and the inflation amount is (40,000 - 30,000) / 10 = 1,000 10x tokens.
>
> If the price of ETH falls to $2,000 (Spot Price), the Pool Cap becomes $20,000. The maximum issuance of 10x tokens for this pool will decrease. The protocol triggers deflation, and the deflation amount is (30,000 - 20,000) / 10 = 1,000 10x tokens.

### The Working Principle of Inflation Management&#x20;

#### **Inflation**

Doubler Lite's inflation management system automatically adjusts the supply of 10x tokens based on changes in the Pool Cap.&#x20;

When the market cap increases, the system triggers inflation to ensure that the number of issued 10x tokens reaches 10% of the Pool Cap. The newly minted 10x tokens from inflation are distributed in a 50:50 ratio: 50% to existing 10x token holders and 50% to increase the to-be-issued 10x tokens recorded by the protocol.

<figure><img src="https://content.gitbook.com/content/jn9OoOf0Uxf8Pt2iqZiD/blobs/H8SY8LW0DxTyhf61lt47/image.png" alt=""><figcaption></figcaption></figure>

> E.g: User A invests 1 ETH when the value of ETH is $3,000. She receives 3,000 ETH-C and 1 ETH-E. Since she is the only user in the pool, the Spot Price equals the pool's Avg Price, so User A does not receive any ETH-10x. The 300 ETH-10x tokens are in a pending mint status.
>
> **If User A chooses to burn 1 ETH-E and mint 300 ETH-10x:**
>
> When ETH rises to $4,000, User B invests 1 ETH. Due to the increase in Pool Cap, 100 ETH-10x tokens are minted through inflation, and 50 of these ETH-10x tokens are directly rebased to User A, who now has a total of 350 ETH-10x.&#x20;
>
> Since the Spot Price is greater than the Avg Price, User B does not directly receive any ETH-10x. The 400 ETH-10x tokens corresponding to the $4,000 value and an additional 50 ETH-10x tokens from inflation remain in a pending mint status. User B can choose to use 1 ETH-E to mint 450 ETH-10x.
>
> **If User A did not mint 300 ETH-10x with 1 ETH-E:**
>
> When ETH rises to $4,000, if User A chooses to mint at this point (triggering the contract), 100 ETH-10x tokens will be minted through inflation and sent to User A along with the 300 pending mint ETH-10x tokens. Thus, User A will burn 1 ETH-E to receive 400 ETH-10x.

#### **Deflation:**

When the pool's cap decreases, the protocol triggers deflation to stabilize the maximum issuance of 10x tokens at 10% of the Pool Cap.

During deflation, the protocol follows these steps,

* If there are to-be-issued 10x tokens in the current pool, the protocol first deflates the to-be-issued portion of 10x tokens.
* If the Pool Cap continues to decline and the to-be-issued 10x token amount reaches zero, the protocol proportionally deflates the circulating 10x tokens in the market until the current Pool Cap's 10% equals the number of issued 10x tokens.

<figure><img src="https://content.gitbook.com/content/jn9OoOf0Uxf8Pt2iqZiD/blobs/krWauD7SEBVXobzI51qO/image.png" alt=""><figcaption></figcaption></figure>

<figure><img src="https://content.gitbook.com/content/jn9OoOf0Uxf8Pt2iqZiD/blobs/pFkXxbCRhV9RF22HB2b2/image.png" alt=""><figcaption></figcaption></figure>

As shown in the above chart, the to-be-issued 10x tokens act like a buffer pool, absorbing the narrow fluctuations in the pool's token value most of the time. This mechanism ensures that the 10x tokens in circulation are not affected by deflation.&#x20;

In extreme market conditions, deflation of the circulating 10x tokens can also ensure that the total number of issued 10x tokens always equals 10% of the Pool Cap.
