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ARC (Fusion USDT0) — A Frax-Style, Partially-Collateralized Stablecoin

Arc (Fusion USDT0) Design Paper

1) What ARC is — and why it’s not “just another TOM fork”

ARC (Fusion USDT0) is a Frax-style stablecoin pegged to 1.00 USDT0. It keeps a tight peg using:

  • a dynamic collateral ratio (CR = α) in USDT0, and

  • a share token (FUSN) for the algorithmic leg (1−α).

Users can always mint and redeem around $1 of value with the split between USDT0 and FUSN adapting over time. This is the fractional-algorithmic design that made Frax V1 capital-efficient without relying on supply-only rebases. ARC is not a TOM/Ample-style token; the peg is enforced by mint/redeem arbitrage and a moving α—a banking-style balance-sheet controller.

2) How Mint & Redeem Work (with simple numbers)

Mint (at current CR = α)

To mint 1 ARC, deposit:

  • α USDT0, and

  • (1−α) worth of FUSN (burned).

Example: If α = 0.98, you deposit $0.98 USDT0 + $0.02 in FUSN to mint 1 ARC.

Redeem (always for ~$1 of value)

To redeem 1 ARC, you receive:

  • α USDT0, and

  • (1−α) worth of newly-minted FUSN.

    (Optionally, the protocol can atomically swap the FUSN leg to USDT0 and return ~$1 in collateral; economically equivalent.)

Example: If α = 0.90, a redeemer gets $0.90 USDT0 + $0.10 in FUSN per ARC.

ARC is redeemable for $1 of value, not “one unit of a token.” That keeps arbitrage clean even if the collateral drifts slightly from $1.

2b) Arbitrage Mechanics — how the peg is enforced

If ARC trades above $1 (premium)

Trade: Mint at $1 of value → Sell >$1 → Keep the spread

  • Cost per ARC: α·USDT0 + (1−α)·FUSN (=$1 total)

  • Sell price: P_market > 1.00

  • Edge per ARC: P_market − 1.00 − fees − slippage

Example: ARC at $1.006, α=0.96 ⇒ Mint at $1.00, sell $1.006; after costs ~0.35–0.45% net. Many such mints expand supply and collapse the premium back toward $1.

If ARC trades below $1 (discount)

Trade: Buy < $1 → Redeem at $1 value (USDT0+FUSN) → Convert FUSN leg → Keep the spread

  • Edge per ARC: 1.00 − P_market − fees − slippage − FUSN→USDT0 conversion cost

Example: ARC at $0.992, α=0.92 ⇒ Buy $0.992, redeem to $0.92 USDT0 + $0.08 FUSN; swap the FUSN leg. After costs ~0.3–0.5% net. Redemptions reduce supply and lift price back toward $1.

Why it works:

  • Premiums incentivize mint→sell, increasing supply until price normalizes.

  • Discounts incentivize buy→redeem, reducing supply until price normalizes.

  • α adjusts with sustained deviations (see §4), letting the market “vote” on the backing it demands while preserving $1 redeemability.

3) Why this is capital-efficient and safe

Capital efficiency

  • When demand is strong and ARC trades at/above $1, the controller can lower α (de-collateralize). New ARC requires less USDT0 and more FUSN, raising monetary efficiency while maintaining the $1 target.

  • A portion of the USDT0 collateral can be deployed (e.g., on Aave) to earn on-chain yield—protocol revenue that supports buybacks and operations.

Safety & resilience

  • If ARC trades below $1, the controller raises α (re-collateralize), so redemptions return more USDT0 and less FUSN, strengthening backing and confidence.

  • The Growth Ratio (ARC supply × $1 / FUSN market cap) indicates how much “shock” the system can absorb with reasonable FUSN dilution—lower is safer.

  • Fast, reliable redemption keeps ARC from drifting below the value of reserves.

4) Controller Policy (intuition)

  • De-collateralize: if ARC > $1 over a sustained window, lower α by a small step (e.g., 0.25–1.00 bps per interval; configurable).

  • Re-collateralize: if ARC < $1, raise α by a step (symmetric or faster than de-collateralization).

  • Equilibrium: if ARC ≈ $1, hold α steady.

Policy knobs (governable bounds):

  • Step size per interval, minimum/maximum α, observation windows, atomic swap toggles for redemptions, and daily/weekly caps on α movement.

5) Where FUSN fits

FUSN is the volatile, value-accrual token (like FXS in Frax):

  • As ARC demand grows and α falls, more FUSN is used in mints (and/or burned), creating structural demand linked to ARC growth.

  • A stronger FUSN market cap improves stability (better capacity to absorb redemptions and shocks).

  • Protocol revenues (e.g., PSM/fees) can be routed to buybacks or reserves to mitigate dilution and align incentives.

6) Collateral yield → the Fusion flywheel

Collateral (USDT0) can be strategically deposited into whitelisted venues (e.g., Aave) to generate yield. Fusion routes this revenue to:

  • ARC buybacks and peg support, and

  • programmatic distributions (e.g., Boardroom policies), closing the loop between use, stability, and value accrual.

7) Advantages vs. TOM-style designs

  • $1 mint/redeem with dynamic α → peg is enforced by arbitrage, not by hoping supply rebases find demand.

  • Direct redeemability + re-collateralization provide downside defenses missing in many purely algorithmic models.

  • Collateral yield adds a sustainable revenue source to reinforce the peg and fund operations.

8) How to use ARC (user journey)

  1. Mint ARC when you want USDT0-par exposure with protocol yield support.

  2. Hold or LP ARC/USDT0 for low-volatility yield opportunities.

  3. Arb premium/discounts via the mint/sell or buy/redeem loops.

  4. Redeem ARC at ~$1 value whenever you need to exit; the mix of USDT0 vs. FUSN depends on α at that time.

9) Risks & mitigations

  • Smart contract & market risk: Audits, timelocks, and conservative parameter bounds help, but cannot remove risk.

  • Liquidity risk: Deep, incentivized ARC/USDT0 pools reduce slippage and improve arb reliability.

  • Oracle/ops risk: Use robust TWAPs and circuit breakers; publish weekly parameter reports.

  • Model risk: Cap α step sizes, maintain reserves, and monitor the Growth Ratio to avoid over-extension.

10) Quick glossary

  • Collateral Ratio (CR = α): Portion of each ARC backed by USDT0 (e.g., α=0.97 → $0.97 USDT0 + $0.03 FUSN per ARC).

  • Algorithmic Ratio (AR = 1−α): Portion backed by FUSN value.

  • De-collateralize / Re-collateralize: Lower/raise α based on persistent price deviations around $1.

  • Growth Ratio: ARC supply (×$1) divided by FUSN market cap; lower is safer.

11) Summary (TL;DR)

  • ARC (Fusion USDT0) implements the Frax V1 mint/redeem + dynamic α model.

  • Users can always mint and redeem around $1 of value; α moves with market signals.

  • Arbitrage (mint→sell on premium, buy→redeem on discount) pulls price to peg.

  • Capital-efficient by design and defensive when stressed via re-collateralization.

  • Collateral yield reinforces the peg and funds the protocol flywheel.

ARC is Frax-style by construction—not a TOM fork—delivering peg reliability, capital efficiency, and a clear path to sustainable growth.