The Treasury

The Treasury serves as the backbone of our financial ecosystem, fortified by an array of computational models and strategies aimed at enhancing cash flow, liquidity, and overall asset management. This is particularly vital for ensuring long-term stability and profitability.

Algorithms for Price Stability

Key to our Treasury management are advanced algorithms that work cohesively to maintain the value and stability of our native token, LUCI. These algorithms automatically adjust supply parameters and collateral requirements based on current market conditions.

The Supply Adjustment Algorithm can be formulated as:

Where 𝛥S is the rate of supply adjustment.

Protocol-Owned Treasury Model

Central to the Treasury's operation is the Protocol-Owned Treasury Model, which comprises various sources of funding, including but not limited to liquidations, minting, and partnerships.

The funding sources can be mathematically represented as:

Price Stabilization Mechanisms

To ensure that the LUCI token maintains its value, we implement price stabilization mechanisms, especially during pivotal events like minting and burning. The Stabilization Ratio (SR) can be defined as:

An SR value close to 1 indicates that the token is well-collateralized and stable.

Liquidations and Price Oracle

A grace period of 72 hours is set for liquidations when accounts reach a critical threshold, often related to the Minimum Collateralization Ratio (MCR). An algorithm monitors these parameters, triggering automated notifications to users.

The Price Oracle continually adjusts the value P of assets and tokens based on market data.

Policy for Burning and Minting

The treasury periodically mints new tokens as a method of funding. Minting can also occur when a borrower defaults. Let M be the number of tokens minted, then:

Conversely, burning tokens occurs when a debtor clears their post-default debt. If B is the number of tokens to be burned, it could be calculated as:

Liquidity as a Service and AMMs

To optimize returns, a portion X treasury funds are allocated to liquidity providers and automated market makers (AMMs). This is often a fixed proportion α of the treasury's total available funds T.

Flash Loans and Arbitrage Bot

The treasury employs an arbitrage bot that uses flash loans to seize arbitrage opportunities across decentralized exchanges. The profitability Π of this strategy can be estimated as:

Example

Assume that the treasury has total available funds of 10,000 LUCI and wants to allocate 20% to liquidity providers and AMMs. In this case:

This treasury model, coupled with an array of algorithms and external partnerships, aims to dynamically respond to market conditions and user behavior, safeguarding the ecosystem's stability and financial health.