# Vaults ❄️⚪️

The vaults introduced by the Numa protocol collateralizes all of the synthethics and the $NUMA token. This represents a radical security improvement to the methods of prior synthetic burn and mint experiments.

## What is a Vault?&#x20;

Burning the $NUMA token is the only way to mint new nuMoney, and vaults provide the means by which $NUMA comes in or out of circulation. Users either deposit a given LST and mint $NUMA or they burn $NUMA and remove the LST. Depositing LSTs into a vault to mint $NUMA incurs a nominal 5% fee (4% retained, 1% to LP staking rewards). Users can also remove LSTs from a vault by burning $NUMA tokens, which also incurs a nominal 5% fee (4% retained, 1% to LP staking rewards). **Every time $NUMA tokens are either minted or burned, the value of $NUMA priced in a given LST increases—increasing the collateral position of the protocol.**

**Price differences between a vault and a corresponding LP create arbitrage opportunities which allow for a vault to perpetually accrue collateral—creating a collateral snowball** ❄️⚪️.&#x20;

## What are the benefits?

✔️ Depositing LSTs provides a decentralized method for backing $NUMA tokens.

✔️ Vaults create a collateral snowball which makes $NUMA tokens continually gain value in LST terms, as the protocol continues to absorb more collateral—overcollateralizing nuMoney synthetics as a utility. As such, vaults capitalize on volatility and absorb it.&#x20;

✔️ Single-stakers of nuMoney synthetics earn sustainable, real yield—as a fundamental part of the protocol.&#x20;

✔️ The numa protocol pays sustainable LP staking rewards to providers, which incentivizes liquidity and secures it for the long run.&#x20;

✔️ Vaults don't rely on liquidity and is zero-slippage: each and every $NUMA holder can exit their positions through a vault at the current market rate with a 5% fee. **In fact, if every $NUMA holder decided to dump their tokens into a vault, the price per $NUMA would rapidly increase, such that the first "sellers" (burners) would get the market price and subsequent burners would get more and more LSTs.**

✔️ Vaults provide transparent proof-of-reserves for the synthetics that are minted.&#x20;

## Dynamic fee model

Under normal conditions, the fee for burning or minting $NUMA tokens via a vault is 5% (4% retained, 1% to rewards), but the buy fee adjusts according to demand for the protocol. Increasing the buy fee based on demand benefits $NUMA holders and the protocol, in general, because it increases the the value accrual of the $NUMA token and the collateral position of the protocol. The dynamic fee creates additional benefits for speculation on the $NUMA token, since the price can move beyond the 5% upper band above the nominal price more easily, and this creates a sort of feedback loop: as the price increases, the fee increases, which then increases the price even more.&#x20;

* For every $1 of $NUMA minted via a vault, the buy fee increases by 0.0001%.&#x20;
* For every $1 of nuMoney burned or minted when the $NUMA LP 15min & 30min TWAP prices are more than 5% below the buy price, the buy fee decreases by 0.0001%.&#x20;
* For every $1 of $NUMA sold into a vault when the $NUMA LP 15min & 30min TWAP prices are below the nominal price, the buy fee decreases by 0.001%.&#x20;
* Buy fee can only increase 5% per 24 hours: e.g., from 5% to 10%, 10% to 15%, etc.

## Arbitrage—The Collateral Snowball ❄️⚪️

**Though price volatility is a weakness in other protocols, numa capitalizes on volatility and consumes more collateral. Price differences between a vault and an LP create arbitrage opportunities which allow for a vault to perpetually accrue collateral.** In the Uniswap LP, $NUMA is paired with USDC, while vaults contain various LSTs: the difference in pairings provides on-going price differences which incentivize arbitrage—more importantly, the arbitrage transactions are what make the $NUMA token continue to accrue value in LST terms. Explicitly, every arbitrage transaction results in more LST per $NUMA token in existence. Using USDC in the LPs creates frequent arbitrage opportunities while also stabilizing the protocol in cases of extreme volatility.&#x20;

For example, if an LST increases in USD value, then the burn price of $NUMA will increase. Thus, it is cheaper to purchase $NUMA tokens from the UDSC Uniswap pool than to burn in an LST vault—creating an arbitrage opportunity. In buying from the pool, arbitrageurs avoid the 5% minting fee: they can buy $NUMA from an LP and burn the tokens in the LST vault—earning a profit and increasing the LST backing of all $NUMA tokens in circulation.&#x20;

Conversley, if an LST decreases in USD value, then the mint price of $NUMA will decrease. In this case, it may be cheaper to mint $NUMA tokens via a vault than by buying from the Uniswap pool—creating an arbitrage opportunity. Arbitrageurs can mint $NUMA tokens via a vault and sell them into an LP—earning a profit and increasing the LST-backing of all $NUMA tokens in circulation.&#x20;

<figure><img src="https://2147099199-files.gitbook.io/~/files/v0/b/gitbook-x-prod.appspot.com/o/spaces%2FUrGB56VIcRQLWsmOltOK%2Fuploads%2FYzbdHnzTTCYygjinXzMd%2FArbitrage%402x.png?alt=media&#x26;token=58e14456-ba29-4d84-8f34-e234007c21fd" alt=""><figcaption><p>In this case, either an LST went down 10% or $NUMA went up 10% in the LP price. This results in 0.5 LST profit, and the LST-backing of $NUMA increases.</p></figcaption></figure>
