TerraUSD (UST) – Deep Dive

Mechanics • Timeline • Math • Early Warnings • Comparisons

1) Exact Mechanics: How UST Tried to Hold $1

Mint/Burn Convertibility

Protocol allowed 1 UST ⇄ $1 of LUNA (by protocol price). If UST < $1, arbitrage was to buy UST and redeem for $1 of LUNA; if UST > $1, burn $1 of LUNA to mint UST and sell.

Where Demand Came From (Anchor)

UST demand concentrated in Anchor deposits offering high yields. This skewed the holder base toward yield‑sensitive users, amplifying exit risk when rates or confidence changed.

Liquidity & Bridges

Key on‑chain USD liquidity for UST lived in Curve pools on Ethereum. Rising pool imbalance (UST share spiking) often preceded price breaks.

BTC Reserve (LFG)

Luna Foundation Guard acquired BTC to backstop the peg. Effectiveness hinged on reserve sufficiency, deployment speed, and market confidence.

2) Why It Broke (Design Fragilities)

Reflexivity

Defending UST below $1 mints more LUNA. Larger supply → lower price → more LUNA needed per redemption → spiral.

Concentrated Demand

Reliance on Anchor meant exits were correlated and fast when yields/confidence shifted.

Liquidity Mismatch

UST supply outgrew deep USD liquidity; modest sells moved price (slippage) and worsened expectations.

Reserve Limits

BTC reserves were finite and themselves pro‑cyclical (value falls in risk‑off), undermining peg defense.

3) Timeline of the Depeg (Illustrative)

  1. Trigger: Large UST sells on Curve/CEX → pool imbalance → UST $0.99–$0.98.
  2. Redemptions: Traders buy UST < $1, redeem for $1 in LUNA; LUNA supply expands quickly.
  3. Spiral: Falling LUNA → next redemptions mint even more LUNA per $1 → dilution accelerates.
  4. Reserve Deployment: BTC sold to support peg; perceived insufficient as fear rises.
  5. Confidence Breaks: Anchor withdrawals + UST sells overwhelm liquidity; UST trades to cents.
  6. Aftermath: Chain halt; proposals to reconstitute sans UST; contagion to DeFi lenders/pools.

Focus on the feedback loop between redemptions and LUNA price, not exact timestamps.

4) Death‑Spiral Math (Toy Model)

If price falls by x%, next redemptions mint ≈ 1/(1−x) more LUNA per $1 — ignoring frictions.

5) Early‑Warning Dashboard (Heuristic)

High pool imbalance + fast Anchor exits + steep LUNA drawdown + rapid supply growth ⇒ elevated depeg risk.

6) Comparisons

UST vs. Bitcoin vs. Ethereum

DimensionUST (algo)Bitcoin (BTC)Ethereum (ETH)
Price Target$1 via convertibility & opsNone (market‑driven)None (market‑driven)
BackingEndogenous (LUNA) + finite reservesScarcity (21M), network securityUtility (gas), PoS security
Primary UseStable unit for DeFi/paymentsStore of value / settlementSmart‑contract platform token
Failure ModePeg break / death spiralVolatility (no peg risk)Volatility; contract/fee risks
Defense ToolsMint/burn, reserves, governanceNone (market only)Fee market, upgrades, L2 scaling
Regulatory FocusHigh (payments/redemption)Medium (trading/AML)Medium‑High (DeFi/securities)
Where It LivesTerra (+ bridges)Bitcoin networkEthereum network

Key: BTC/ETH don’t defend a peg. UST had to prove $1 convertibility; once confidence slipped, defense mechanics amplified losses.

Stablecoin Matrix: USDC / USDT / DAI / FRAX / UST

StablecoinBackingRedemptionTransparencyMain RisksWhere
USDCFiat reserves (cash/T‑bills)Issuer redemption (KYC)High (attestations)Banking/counterpartyMulti‑chain
USDTFiat reserves (varied)Issuer redemption (KYC)Medium (reports)Reserve opacity/regulatoryMulti‑chain
DAIOver‑collateralized crypto + RWAOn‑chain modules (indirect)On‑chain + reportsCollateral volatility, governanceEthereum
FRAXHybrid (partial collateral)Protocol mechanismsMediumModel/market riskEthereum
UST (hist.)Endogenous (LUNA) + finite BTCConvertibility to LUNAMediumDeath‑spiral reflexivityTerra

7) Quiz – Self‑Check

  1. Why did mint/burn convertibility amplify the UST depeg?
  2. Name two early‑warning metrics that flashed.
  3. Contrast UST with Bitcoin and Ethereum in one sentence.
  4. What’s the main difference between UST and USDC/DAI?