Bonding Curve Research Group Library 📚
  • About the BCRG
  • About this Library
  • ♻️From Static to Dynamic Supply Tokens
  • ➰What are Bonding Curves?
  • 🗃️Differentiating Primary & Secondary AMMs
  • 🤖Modeling & Simulating Bonding Curves
  • 🎛️Bonding Curve Parameter Matrix & Trade-Off Decisions
    • Initial Supply
    • Initial Reserve
    • Initial Price
    • Reserve Ratio
    • Mint Fee
    • Burn Fee
    • Max Supply
  • ☠️Attack Vectors
    • Liquidations
    • Sandwich trading
    • Front Running
    • Backrunning
    • Solutions
  • 📓Case Studies
    • 🤖Aavegotchi
      • Bonding Curve Design
      • Pricing Algorithm
      • Governance and Tokenomics
        • Avegotchi DAO Evoution
    • 👣Carbon
      • Asymmetric Liquidity
      • Adjustable Bonding Curves
      • Matching, Routing & Arbitrage in AMMs
      • MEV Resistance
    • 📈Continuous Organization (cOrg)
      • cOrg Token Bonding Curve Model
        • The Decentralized Autonomous Trust
        • Bonding Curve Contract Dynamics in Investment and Sale Operations
    • 🐮CoW Protocol
      • Loss Versus Rebalancing (LVR)
        • Deep dive into Loss-Versus-Rebalancing (LVR)
      • Batch Trading & Function-Maximizing AMMs
      • Implementation - COW AMM
    • ⚙️DXDao
      • DXdao Bonding Curve
    • ⚓Gyroscope
      • The Gyro Bonding Curve
      • Elliptic Concentrated Liquidity Pools (E-CLP)
      • Gyro Consolidated Price Feeds
        • Consolidated Price Feed Approach
    • 🕉️Olympus DAO
      • Range Bound Stability
    • 💸 Public Goods Token Performance Analysis
  • 🍄 Engineering for Resilience with Primary Issuance Markets
  • 💻BCRG Github Repos
  • 📽️BCRG Video Library
  • 📖Glossary
  • 🔎Token Engineering Courses & Resources
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  1. Bonding Curve Parameter Matrix & Trade-Off Decisions

Reserve Ratio

The fraction of the token marketcap that is backed by reserves.

PreviousInitial PriceNextMint Fee

Last updated 11 months ago

Reserve Ratio = Reserve / (Price * Supply)

For example, if the supply of tokens is 100 at a price of $10 with reserves of $200, then the reserve ratio is 200 / (100*10) = 1/5, or 20%. The reserve ratio typically takes a value between 0 and 1, with deployment case studies typically taking values between 0.2 and 0.8. The reserve ratio determines the price volatility of the system. As the reserve ratio approaches 1, the system becomes more stable, but incurs a faster reserve burn rate on available assets.

Bifurcation Ranges

Particular ranges of reserve ratio produce particular function types of price relative to supply. In ranges [0,0.5) the function takes on a convex shape, as in price grows exponentially relative to supply. At value [0.5], the price grows linearly with supply, with the slope of the function depending on initial_supply and initial_price. In ranges (0.5,1) the function is concave and price will grow logarithmically with supply. At value [1], the token will be fully collateralized and maintain a constant peg to the reserve. At values greater that 1, the bonding curve will be over collateralized and the price of the tokens will decrease as supply increases.

High Reserve Ratio:

A higher reserve ratio is associated with lower price volatility, but higher reserve drawdown. Increasing the reserve ratio makes the token more value stable.

Low reserve ratio:

A lower reserve ratio is associated with higher price volatility, and relatively lower reserve drawdown.

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Reserve ratio set to 0.9
Reserve ratio set to 0.2