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8.1 Stablecoins: Mechanisms and Stability

8.1 Stablecoins: Mechanisms and Stability

The $180 Billion Stability Problem

On May 9, 2022, at 11:00 PM UTC, Terra's UST stablecoin traded at $0.998—just 0.2% from its $1.00 peg. Thirty-six hours later, UST traded at $0.30. Within a week: $0.10. By month's end: $0.01.

The cascade:

May 7: UST = $1.00, LUNA = $80
May 9: Large UST sells begin, peg wobbles to $0.98
May 10: Panic spreads, UST → $0.60, LUNA → $30
May 11: Death spiral accelerates, UST → $0.30, LUNA → $5
May 12: System collapse, UST → $0.10, LUNA → $0.50
May 13: Both tokens effectively worthless

Total value destroyed: $60 billion in market cap evaporated—one of the largest financial collapses in history. Hundreds of thousands of retail investors lost life savings. The DeFi ecosystem entered a year-long bear market.

Yet paradoxically, stablecoins have become the most successful crypto product:

Market size (2024):

Total stablecoin supply: $180B+
Daily trading volume: $100B+
Number of unique holders: 50M+

By token:
USDT (Tether): $110B (61%)
USDC (Circle): $35B (19%)
DAI (MakerDAO): $5B (3%)
Others: $30B (17%)

Why stablecoins matter:

1. Bridge to crypto: Entry point for new users 2. Store of value: Escape volatility without leaving crypto 3. Trading pairs: 80% of CEX volume is vs stables 4. DeFi backbone: Required for lending, derivatives, payments 5. Global payments: Fast, cheap cross-border transfers

But maintaining stability is harder than it looks.

This lesson explores the fundamental tension in stablecoin design: the stability trilemma.

         Stability

/ \
/ \
/ \
/ \
/ \
Decentralization ◄─────► Capital Efficiency

Pick two:
- Stable + Decentralized = Capital inefficient (DAI ~150% collateral)
- Stable + Capital efficient = Centralized (USDC: need Circle's reserves)
- Decentralized + Capital efficient = Unstable (Terra UST: death spiral)

We'll explore:

  • Why maintaining a peg is an economic, not just technical, problem
  • The mathematics of collateralization and leverage
  • Game theory of stablecoin attacks and bank runs
  • Why algorithmic stablecoins keep failing (and will likely continue to)
  • The stability-decentralization-efficiency trilemma
  • Whether truly stable, decentralized, capital-efficient stablecoins are possible

Understanding stablecoins is essential because they're simultaneously DeFi's greatest success and greatest vulnerability. Let's explore why.

What Are Stablecoins?

The Volatility Problem

Cryptocurrency volatility makes them poor money:

Bitcoin daily volatility: ~4%
Ethereum daily volatility: ~5%
Traditional currency (USD): ~0.3%

Consequence: Can't use for:
- Pricing goods (price changes hourly)
- Storing value (loses 50% in weeks)
- Receiving salary (value uncertain)
- Business contracts (unhedgeable risk)

Example of the problem:

Scenario: Alice runs online store

Monday: Customer orders $100 product, pays 0.05 ETH
(ETH = $2,000)

Wednesday: Alice's supplier bill is due: $90
But ETH now = $1,800
0.05 ETH = $90 ✓ Just breaks even

Friday: Alice wants to buy inventory
ETH now = $1,600
0.05 ETH = $80 ✗ Lost $10 (10% of revenue!)

Result: Can't run business on volatile currency

Solution needed: Currency with crypto benefits but stable value.

Definition: What Makes a Stablecoin?

A stablecoin is a cryptocurrency designed to maintain a stable value relative to a reference asset (typically $1 USD).

Key properties:

1. Stability: Maintains peg within tolerance (±1-2% typical)
2. Liquidity: Can be bought/sold at peg price
3. Convertibility: Mechanism to maintain peg
4. Redeemability: Can be exchanged for reference asset (or equivalent)

Stability mechanisms:

All stablecoins need mechanisms to restore peg when it deviates:

Price > $1.00 (premium):
→ Increase supply (sell/mint stablecoins)
→ Decreases price back to $1.00

Price < $1.00 (discount):
→ Decrease supply (buy/burn stablecoins)
→ Increases price back to $1.00

The devil is in the details: How do you increase/decrease supply reliably?

Classification of Stablecoins

Three main categories:

1. Fiat-Collateralized (Custodial)
Backed by real USD in bank account
Examples: USDT, USDC, BUSD
Collateral ratio: ~100%

2. Crypto-Collateralized (Over-collateralized)
Backed by crypto assets (ETH, BTC)
Examples: DAI, sUSD, LUSD
Collateral ratio: 150-300%

3. Algorithmic (Under/uncollateralized)
Stabilized by algorithmic supply adjustment
Examples: UST (failed), FRAX (hybrid), UXD
Collateral ratio: 0-100%

The fundamental trade-off:

Fiat-collateralized:
✓ Most stable
✓ Most capital efficient (1:1 backing)
✗ Centralized (requires trusted custodian)
✗ Regulatory risk
✗ Censorship possible

Crypto-collateralized:
✓ Decentralized (trustless)
✓ Transparent (on-chain collateral)
✗ Capital inefficient (need 150-300% collateral)
✗ Less stable (collateral price volatility)

Algorithmic:
✓ Capital efficient (minimal/no collateral)
✓ Potentially decentralized
✗ Unstable (death spiral risk)
✗ Game theory vulnerabilities
✗ Track record: 100% failure rate for pure algorithmic

Historical Context

Evolution of stablecoins:

2014: Tether (USDT) launches
First fiat-collateralized stablecoin
Supply: $1M → $110B (2024)

2017: MakerDAO launches (DAI)
First crypto-collateralized stablecoin
Supply: $0 → $5B (2024)

2018: USDC launches (Circle/Coinbase)
"Compliant" fiat-collateralized
Supply: $0 → $35B (2024)

2020: Basis Cash, Iron Finance (algorithmic)
Both failed (death spirals)

2021: Terra's UST launches
Largest algorithmic attempt
Peak: $18B supply

2022: UST collapses
$60B market cap destroyed
Algorithmic stablecoins discredited

2023-2024: Consolidation
USDT, USDC, DAI dominate
Remaining algorithmic coins <$2B total

Survival rates:

Fiat-collateralized: 95%+ survive
(Failures mostly regulatory issues, not depeg)

Crypto-collateralized: 80% survive
(Failures from oracle issues, exploits)

Algorithmic: 5% survive
(Near-universal failure, death spirals)

Fiat-Collateralized Stablecoins

Mechanism: Trust-Based Backing

Design:

User → Deposit $1 USD → Company → Mint 1 USDC
Wire transfer (Circle) On-chain

User → Redeem 1 USDC → Company → Withdraw $1 USD
Burn token Custody Wire transfer

Key components:

1. Custody:

Circle (USDC): Holds USD in bank accounts + T-bills
Tether (USDT): Holds USD + T-bills + other reserves
Binance (BUSD): Held by Paxos (now deprecated)

Custodian responsibilities:
- Hold reserves
- Process deposits/withdrawals
- Monthly attestations
- Regulatory compliance

2. Minting/burning:

Minting: Only issuer can mint (Circle for USDC)
Burning: Anyone can burn to redeem

Supply = Outstanding deposits

Example:
Deposits: $1B → Mint 1B USDC
Redemptions: $100M → Burn 100M USDC
Supply: 900M USDC

3. Peg maintenance:

Market price > $1.01:
→ Arbitrageurs deposit USD, mint USDC
→ Sell USDC for $1.01
→ Profit $0.01 per coin
→ Supply increases, price falls to $1.00

Market price < $0.99:
→ Arbitrageurs buy USDC for $0.99
→ Redeem for $1.00 USD
→ Profit $0.01 per coin
→ Supply decreases, price rises to $1.00

Arbitrage ensures peg (if issuer is solvent).

USDC: Case Study

Circle's USDC mechanism:

Reserve composition (2024):

Total reserves: $35B

Breakdown:
- Cash in banks: $10B (29%)
- U.S. Treasury bills: $25B (71%)
- Other: $0B (0%)

Monthly attestations by Grant Thornton (auditor)
Publicly viewable at circle.com/usdc

Minting/redemption process:

Minting (institutional):
1. Register with Circle (KYC)
2. Wire $1M+ USD
3. Receive USDC within 1 business day
4. Minimum: $100k

Redemption (institutional):
1. Send USDC to Circle
2. Receive USD within 1 business day
3. Minimum: $100k

Retail users:
- Can't mint/redeem directly
- Trade on exchanges (price ~$1.00 due to arbitrage)

Stability analysis:

USDC price history (2020-2024):
- 99.5% of time: $0.995 - $1.005 (±0.5%)
- 99.9% of time: $0.99 - $1.01 (±1%)
- Max deviation: $0.88 (March 2023, SVB crisis)

SVB crisis (March 2023):
March 10: Silicon Valley Bank fails
Circle has $3.3B stuck in SVB
March 11: USDC depegs to $0.88 (panic)
March 12: Fed backstops SVB deposits
USDC recovers to $0.97
March 13: Full recovery to $1.00

Lesson: Even "safe" fiat stablecoins have centralization risk

Advantages:

+ Very stable (±0.5% typical)
+ Capital efficient (1:1 backing)
+ Fast minting/redemption
+ Regulatory compliant (licenses in multiple jurisdictions)
+ High liquidity (major exchanges)

Disadvantages:

- Centralized (Circle controls everything)
- KYC required for direct minting/redemption
- Censorship possible (Circle can blacklist addresses)
- Bank risk (SVB crisis showed vulnerability)
- Regulatory risk (could be shut down)
- Not trustless (must trust Circle's reserves)

Tether (USDT): Controversy and Dominance

Despite controversies, USDT is the largest stablecoin ($110B).

Reserve composition (claimed, 2024):

Total reserves: $110B

Breakdown:
- Cash & cash equivalents: ~$5B (5%)
- U.S. Treasury bills: ~$90B (82%)
- Other investments: ~$8B (7%)
- Corporate bonds: ~$3B (3%)
- Secured loans: ~$2B (2%)
- Precious metals: ~$2B (2%)

Controversies:

2019: Attorney General investigation
Claims Tether used reserves for other purposes
Settlement: $18.5M fine

2021: Misleading reserve statements
Claimed "100% backed" but included commercial paper
Settlement: $41M fine (CFTC)

2023: Still no full audit
Only attestations (weaker than audits)
Community skepticism remains

Yet: USDT maintains peg better than most
Trading at $0.998-$1.002 consistently

Why USDT dominates despite issues:

1. First mover advantage (launched 2014)
2. Highest liquidity (most trading pairs)
3. Available everywhere (even unregulated exchanges)
4. No KYC for secondary market trading
5. Network effects (everyone uses it)

Result: "Too big to fail" status
If USDT collapsed, entire crypto market affected

The Tether paradox:

Most controversial stablecoin
+
Most used stablecoin
=
Systemic risk to crypto

Regulatory Considerations

Legal status varies by jurisdiction:

United States:

Not explicitly regulated yet (as of 2024)
Proposed legislation:
- Stablecoin Transparency Act
- Digital Asset Market Structure Act

Would require:
- 100% reserves
- Regular audits
- Federal oversight
- Deposit insurance (possibly)

European Union:

MiCA (Markets in Crypto Assets) 2024:
- Requires authorization
- Reserve requirements
- Redemption rights
- Daily volume limits
- Quarterly audits

Some U.S. stablecoins may not meet requirements

The regulatory trend:

2020-2022: Light regulation, rapid growth
2023-2024: Increasing scrutiny, compliance requirements
2025+: Likely heavy regulation, consolidation

Outcome: Favors compliant issuers (Circle, Paxos)
Challenges offshore issuers (Tether?)

Crypto-Collateralized Stablecoins

The Decentralization Solution

Problem with fiat-collateralized:

Requires trusting a centralized entity
What if you want:
- No KYC/censorship
- Transparent reserves
- Permissionless participation
- No regulatory risk

Solution: Collateralize with crypto assets

User → Deposit 1.5 ETH → Smart Contract → Mint 1,000 DAI
(Worth $3,000) MakerDAO (Worth $1,000)

Over-collateralized: 300% collateral ratio
Why? ETH is volatile, need safety buffer

Key innovation: Trustless liquidation

If ETH price drops:
Collateral value falls below threshold
→ Liquidation bot repays debt
→ Seizes collateral
→ System stays solvent

No trust required, all algorithmic

MakerDAO and DAI: Deep Dive

Maker protocol architecture:

Components:

1. Vaults (formerly CDPs):

Users create "Vaults":
- Deposit collateral (ETH, WBTC, USDC, etc.)
- Mint DAI (stablecoin)
- Pay stability fee (interest)
- Can add collateral or repay DAI anytime

Example:
Deposit: 10 ETH at $2,000 = $20,000
Mint: 10,000 DAI
Collateralization: 200%
Minimum: 150% for ETH
Liquidation if drops below 150%

2. Collateral types:

Multiple collateral types supported:

ETH-A: 150% ratio, 0.5% stability fee
ETH-B: 130% ratio, 2% stability fee (riskier)
WBTC-A: 150% ratio, 0.5% fee
USDC-A: 103% ratio, 0% fee (stablecoin collateral)

Each has independent risk parameters

3. Stability mechanisms:

Stability fee:

Annual interest rate paid by borrowers
Accrues continuously
Paid when repaying DAI

Purpose: Control DAI supply
High fee → Expensive to mint → Supply decreases
Low fee → Cheap to mint → Supply increases

Adjustable by Maker governance
Typical range: 0-10%

DAI Savings Rate (DSR):

Interest paid to DAI holders who lock in DSR contract
Funded by stability fees

Purpose: Control DAI demand
High DSR → Attractive to hold → Demand increases → Price increases
Low DSR → Less attractive → Demand decreases → Price decreases

Typical range: 0-5%

4. Liquidations:

When vault collateral ratio < 150%:

1. Collateral auctioned off
2. DAI debt repaid
3. Liquidation penalty charged (13% typical)
4. Remaining collateral returned to owner

Dutch auction mechanism:
- Starting price high
- Decreases over time
- First liquidator to bid wins

Example:
Vault has: $15,000 collateral, $10,500 DAI debt
Ratio: 142.8% < 150% threshold

Auction:
- Debt to cover: $10,500
- Penalty: 13% = $1,365
- Total to raise: $11,865
- Collateral available: $15,000

Liquidator pays $11,865 DAI
Receives $11,865 worth of collateral
Owner keeps: $15,000 - $11,865 = $3,135 collateral

Mathematical Model: Collateralization Ratios

Stability condition:

For DAI to maintain $1 peg, the system must be solvent:

Total Collateral Value ≥ Total DAI Debt

Let:
C = total collateral value (in USD)
D = total DAI supply
R = collateralization ratio

Requirement: C ≥ D, or R = C/D ≥ 1

Actually need buffer: R > 1 + safety_margin
Typical: R = 1.5 to 3.0 (150-300%)

Why overcollateralization?

ETH volatility: ~80% annualized
Daily moves: ±5% common
Flash crashes: -20% possible

Need buffer so that:
Even if ETH drops 30% in a day
System stays solvent before liquidations execute

Example:
Initial: $2M collateral, $1M DAI, R = 200%
ETH drops 30%: $1.4M collateral, $1M DAI, R = 140%
Still solvent, but underwater vaults liquidate
After liquidations: System back to healthy R

Relationship: Collateral ratio and maximum DAI supply

Given collateral C and minimum ratio R_min:

Max DAI supply = C / R_min

Example:
Total ETH collateral in Maker: 4M ETH
ETH price: $2,000
Total collateral value: $8B
Minimum ratio: 150%

Max DAI: $8B / 1.5 = $5.33B

Actual DAI supply: ~$5B (2024)
Utilization: 94%

Capital efficiency:

Capital efficiency = DAI issued / Collateral value

Fiat-collateralized (USDC): 100%
$1B reserves → $1B USDC

Crypto-collateralized (DAI): 33-66%
$1B ETH → $330M - $660M DAI (at 150-300% ratios)

This is the cost of decentralization

DAI Stability Analysis

Historical peg performance:

2019-2021: Very stable
- 99% of time: $0.98 - $1.02
- Max deviation: $1.04 (brief spikes)

2022-2023: More volatile
- 80% of time: $0.97 - $1.03
- Max deviation: $1.08 (USDC depeg contagion)

Why less stable recently?
1. More USDC collateral (centralization)
2. Lower ETH collateral (less decentralized)
3. Market stress (UST collapse, USDC depeg)

Peg recovery mechanisms:

DAI > $1.00 (premium):
Actions:
1. Lower stability fee → Cheaper to mint → Supply increases
2. Lower DSR → Less attractive to hold → Demand decreases
3. Both push price down to $1.00

Example:
DAI = $1.02
Governance lowers stability fee: 3% → 1%
More users mint DAI (cheaper now)
DAI supply increases by 10%
Price falls: $1.02 → $1.00

DAI < $1.00 (discount):
Actions:
1. Raise stability fee → More expensive to mint → Supply decreases
2. Raise DSR → More attractive to hold → Demand increases
3. Both push price up to $1.00

Example:
DAI = $0.98
Governance raises DSR: 1% → 5%
Users lock DAI in DSR to earn 5%
DAI demand increases
Price rises: $0.98 → $1.00

The USDC dilemma:

Problem: DAI increasingly backed by USDC

2020:
- ETH collateral: 80%
- USDC collateral: 5%
- Decentralized: ✓

2024:
- ETH collateral: 30%
- USDC collateral: 50%
- Decentralized: Questionable

Reason: USDC more capital efficient (101% ratio vs 150% for ETH)
Market prefers capital efficiency over decentralization

Result: DAI stability comes at cost of centralization
"Decentralized" stablecoin backed by centralized stablecoin

Other Crypto-Collateralized Stablecoins

Liquity (LUSD):

Immutable protocol (no governance)
ETH-only collateral
110% minimum collateralization (more efficient than DAI!)
Redemption mechanism maintains hard peg

Mechanism:
Can always redeem 1 LUSD for $1 of ETH from riskiest vaults
This creates hard floor price at $1.00

Supply: $200M (2024)
Stability: Excellent ($0.998-$1.002)

sUSD (Synthetix):

Collateralized by SNX token
400-500% collateralization (very conservative!)
Part of Synthetix synthetic asset platform

Supply: $50M (2024)
Stability: Good when SNX stable, poor when SNX volatile

Comparison:

Property        DAI           LUSD          sUSD
─────────────────────────────────────────────────────
Collateral Multi ETH-only SNX-only
Min ratio 150% 110% 400%+
Governance Yes No Yes
Supply $5B $200M $50M
Stability Good Excellent Fair
Decentralization Decreasing High Medium

Algorithmic Stablecoins: The Failed Dream

The Vision

Goal: Stablecoin without collateral (or minimal collateral)

Fiat-collateralized: Need $1B to back $1B stablecoin
Crypto-collateralized: Need $1.5-3B to back $1B stablecoin
Algorithmic: Need $0 to back $1B stablecoin (?)

If possible → Infinite capital efficiency!

Core idea: Algorithmic supply adjustment

Price > $1.00:
→ Mint new stablecoins
→ Supply increases
→ Price falls to $1.00

Price < $1.00:
→ Burn stablecoins
→ Supply decreases
→ Price rises to $1.00

The problem: Who would burn stablecoins at a loss?

Terra/UST: The Biggest Failure

Mechanism: Dual-token system

Two tokens:
UST: Stablecoin (target $1.00)
LUNA: Volatile governance token

Mint/burn relationship:
$1 UST can always be minted by burning $1 of LUNA
$1 LUNA can always be minted by burning 1 UST

Example:
UST = $0.98 (below peg)
Action: Burn 1 UST → Mint $1 LUNA
Profit: Buy UST at $0.98, burn for $1 LUNA, profit $0.02
Result: UST supply decreases, price rises to $1.00

Why it worked (temporarily):

2021: Crypto bull market
LUNA price: $1 → $80
UST supply: $0 → $18B
20% yield on UST (via Anchor protocol)

Positive feedback loop:
High LUNA price → Confidence in UST
High UST demand → Need to mint more UST
Minting UST → Burning LUNA (supply decreases)
Lower LUNA supply → Price increases
Higher LUNA price → More confidence
(Repeat)

The death spiral:

May 7, 2022:
Large UST holder sells $285M UST on Curve
UST depegs to $0.98

May 8:
Panic spreads, more sell UST
UST = $0.95
Arbitrageurs burn UST for LUNA
LUNA supply increases (dilution)
LUNA price falls: $80 → $60

May 9:
Death spiral accelerates:
UST = $0.70 → More burning → More LUNA minted
LUNA = $40 → Lower LUNA market cap
Can't absorb UST supply → UST falls more

May 10:
UST = $0.30, LUNA = $5
Spiral is irreversible
Market cap of LUNA < Value of UST that needs backing

May 11-13:
Both tokens collapse to near zero
UST = $0.01, LUNA = $0.0001
$60B in value destroyed

Mathematical analysis of death spiral:

Let:
P_UST = UST price
P_LUNA = LUNA price
S_UST = UST supply
M_LUNA = LUNA market cap

Stability condition:
P_UST = $1 maintained if:
Demand to burn UST = Supply of UST being sold

When P_UST < $1:
Arbitrage burns UST → Mints LUNA
LUNA supply increases by: S_UST × (1 - P_UST) / P_LUNA

LUNA dilution: δ_LUNA = S_UST × (1 - P_UST) / M_LUNA

Example (pre-collapse):
S_UST = $18B
P_UST = $0.95 (5% depeg)
M_LUNA = $30B

LUNA dilution = $18B × 0.05 / $30B = 3%
Manageable, LUNA absorbs

Example (during collapse):
S_UST = $18B
P_UST = $0.70 (30% depeg)
M_LUNA = $10B (LUNA already falling)

LUNA dilution = $18B × 0.30 / $10B = 54%
Unsustainable! LUNA can't absorb this
→ LUNA price crashes further
→ Makes problem worse
→ Death spiral

The feedback loop:

UST depeg

LUNA minting (to restore peg)

LUNA price falls (dilution)

Market cap falls

Reduced ability to absorb UST sells

UST depegs more
(Loop back to top)

Why death spiral was inevitable:

Fundamental flaw:
System relies on LUNA having value
LUNA value comes from belief in system
If confidence breaks → LUNA value evaporates
→ System can't maintain peg
→ Confidence breaks further
→ Self-fulfilling collapse

Game Theory: Self-Fulfilling Attacks

Based on currency crisis models (Obstfeld 1996):

Setup:

N users hold UST
Each user i can:
- Hold (maintains peg)
- Sell (breaks peg if enough others sell)

Payoffs:
If <50% sell: Peg holds, everyone wins
If >50% sell: Peg breaks, sellers escape, holders lose

Classic coordination game

Multiple equilibria:

Equilibrium 1 (Good):
Everyone believes peg will hold
→ No one sells
→ Peg does hold
→ Beliefs confirmed
Stable equilibrium

Equilibrium 2 (Bad):
Everyone believes peg will break
→ Everyone sells
→ Peg does break
→ Beliefs confirmed
Also stable equilibrium!

The coordination problem:

Each user reasons:
"If I think others will sell, I should sell too (escape first)
If I think others will hold, I should hold (benefit from stability)"

This creates two self-fulfilling prophecies:
1. Confidence → Stability → More confidence
2. Fear → Collapse → More fear

Small shock can flip from equilibrium 1 to 2

Application to Terra:

May 7: Small depeg ($0.98)
In "good" equilibrium, this would be absorbed

May 8: Fear spreads (large holder sold, maybe more selling coming?)
Users coordinate on "bad" equilibrium
Rush to exit

May 9-13: Self-fulfilling collapse
Everyone sells because everyone else is selling

Post-mortem: No single cause
Coordination failure triggered by fear

Why Algorithmic Stablecoins Keep Failing

The fundamental problem: Reflexivity

Stablecoin value depends on confidence
Confidence depends on stablecoin value
Circular dependency creates instability

In traditional stablecoins:
Value backed by external assets (USD, ETH)
Breaking confidence doesn't destroy backing

In algorithmic stablecoins:
Value backed by future confidence
Breaking confidence destroys backing
Death spiral ensues

List of failed algorithmic stablecoins:

2018: Basis (closed before launch, regulatory)
2020: Empty Set Dollar (ESD) - failed
2021: Iron Finance (IRON) - death spiral in 48 hours
2021: Fei Protocol (FEI) - abandoned peg mechanism
2022: Terra (UST) - catastrophic collapse
2022: DEI - depegged
2023: Many others (most unknown)

Success rate: ~0%

Common failure modes:

1. Death spiral (UST, IRON):
Depeg → Minting → Dilution → Further depeg

2. Low adoption (ESD, Basis Cash):
Need critical mass for stability
Without users, no stabilization mechanism works

3. Bank run (all):
Coordination on "bad" equilibrium
Self-fulfilling panic

4. Oracle manipulation:
Attacker manipulates price oracle
Exploits mint/burn mechanism

5. Governance attack:
Attacker gains control
Changes parameters to exploit system

Why the dream persists despite failures:

Potential benefits are enormous:
- Infinite capital efficiency
- True decentralization
- No external dependencies
- Scalable to any size

But benefits remain theoretical
All real-world attempts have failed
Likely a mathematical impossibility

Hybrid Approaches and Innovations

FRAX: Partially Collateralized

Mechanism: Fractional collateralization

FRAX = α × Collateral + (1-α) × Algorithmic

Where α = collateral ratio (dynamic)

Example at α = 90%:
To mint $100 FRAX:
- Provide $90 USDC (collateral)
- Burn $10 FXS (algorithmic token)

Total: $100 value backs $100 FRAX

Dynamic collateral ratio:

If FRAX > $1.00:
System decreases α (less collateral needed)
Makes minting easier, increases supply

If FRAX < $1.00:
System increases α (more collateral needed)
Makes minting harder, decreases supply

α adjusts by 0.25% per hour
Range: 50-100% typically

Why hybrid might work better:

Partially collateralized:
- Some safety from collateral
- Some efficiency from algorithmic
- Middle ground between extremes

When α = 100%: Fully collateralized (like USDC)
When α = 0%: Fully algorithmic (like UST - dangerous)

FRAX stays in safe middle ground
Currently: α ≈ 90-95%

Track record:

Launch: December 2020
Major test: May 2022 (UST collapse)
Performance: Held peg at $0.97-$1.00
Supply: $650M (2024)

Best performing algorithmic/hybrid so far
But still <10% crypto-collateralized (DAI = $5B)

RAI: Unpegged "Stablecoin"

Radical idea: Don't peg to $1, float with dampening

RAI doesn't target $1.00
Instead: Target "redemption price" that adjusts

Redemption price moves slowly based on market price

If RAI trading at premium:
→ Redemption price increases
→ Borrowing becomes more expensive
→ Supply increases
→ Price falls

If RAI trading at discount:
→ Redemption price decreases
→ Borrowing becomes cheaper
→ Supply decreases
→ Price rises

PID controller:

Borrowed from control theory
Proportional-Integral-Derivative controller

Adjusts redemption rate based on:
P: Current deviation from target
I: Accumulated past deviations
D: Rate of change of deviation

Result: Smooth adjustments, reduced volatility
But doesn't target $1.00 precisely

Performance:

Launch: Feb 2021
Redemption price: Started at $3.14, now ~$3.00
Market price: Tracks redemption price within ±2%

Supply: $10M (2024) - very small
Use case: Unclear (not good for payments if value drifts)

Interesting experiment, limited adoption

Ethena (USDe): Delta-Neutral Stablecoin

2024 innovation: Fully collateralized via derivatives

Mechanism:
1. Hold $1 of ETH
2. Short $1 of ETH perpetual futures
3. Net position: Delta-neutral
4. Earn funding rate (typically positive)
5. Issue $1 USDe backed by this position

Result:
- Fully collateralized by ETH
- Market-neutral (no ETH price exposure)
- Generates yield from funding rates

Why it works:

ETH exposure: +$1 (spot)
ETH exposure: -$1 (futures)
Net: $0 (delta neutral)

If ETH ↑ to $1.10:
Spot: +$0.10 gain
Futures: -$0.10 loss
Net: $0 (collateral stays $1)

USDe stays backed 1:1
No need for overcollateralization!

Risks:

1. Funding rate risk:
If funding rate goes negative (rare)
Position loses money
Need buffer collateral

2. Counterparty risk:
Futures contracts with exchanges
Exchange failure = loss of hedge

3. Liquidation risk:
If futures position liquidated
Delta neutrality breaks

4. Operational risk:
Must actively manage positions
Rebalance as needed

Track record:

Launch: July 2023
Supply: $3.5B (April 2024) - rapid growth!
Stability: Excellent ($0.998-$1.002)
Yield: 8-15% APY from funding rates

Most successful new stablecoin launch since UST
But much safer design (fully collateralized)

The Stablecoin Trilemma

Three Desirable Properties

Following Klages-Mundt et al. "While Stability Lasts":

1. Decentralization
- No central authority
- Censorship-resistant
- Trustless operation
- Open participation

2. Capital Efficiency
- Minimal collateral required
- Low opportunity cost
- Scalable supply
- 1:1 or better backing

3. Stability
- Maintains peg reliably
- Low volatility
- Quick peg recovery
- Resistant to attacks

The Impossibility Result

Theorem (informal): You can have at most two of three.

Decentralized + Capital Efficient = Unstable
Examples: Terra UST, Basis Cash
Result: Death spirals, bank runs

Decentralized + Stable = Capital Inefficient
Examples: DAI, LUSD
Result: Need 150-300% collateral

Capital Efficient + Stable = Centralized
Examples: USDC, USDT
Result: Need trusted custodian

Why the trilemma exists:

Stability requires backing:
- Either real assets (centralized)
- Or excess crypto collateral (inefficient)
- Or algorithmic promises (unstable)

Decentralization requires trustless operation:
- Can't have trusted custodian
- Must use crypto collateral or algorithms
- Crypto is volatile → need overcollateral
- Algorithms are reflexive → unstable

Capital efficiency requires minimal collateral:
- Can't afford large buffers
- Must be centralized (to maintain confidence)
- Or algorithmic (which fails)

Visualizing the Trade-off Space

         Stability (Peg Maintenance)



USDC ● USDT
│ (Centralized,
│ stable,
│ efficient)


│ DAI
│ ● (More centralized now)

│ LUSD
│ ● (Decentralized,
│ stable,
──────┼───────────────────────────► Capital Efficiency
│ inefficient)


│ UST (failed)
│ ● (Tried to be all three,
│ achieved none)

Decentralization

Current state of major stablecoins:

Stablecoin   Decentralization  Capital Efficiency  Stability
──────────────────────────────────────────────────────────────
USDC ★☆☆☆☆ ★★★★★ ★★★★★
USDT ★☆☆☆☆ ★★★★★ ★★★★☆
DAI ★★☆☆☆ ★★☆☆☆ ★★★★☆
LUSD ★★★★☆ ★★★☆☆ ★★★★★
FRAX ★★☆☆☆ ★★★★☆ ★★★★☆
RAI ★★★★☆ ★★☆☆☆ ★★★☆☆
UST ★★★☆☆ ★★★★★ ☆☆☆☆☆ (failed)

Can We Escape the Trilemma?

Possible paths forward:

1. Accept trade-offs:

Different stablecoins for different use cases:
- USDC for stability (payments, savings)
- DAI for decentralization (censorship resistance)
- Neither is perfect, both are useful

2. Minimize trade-offs:

Gradual improvements:
- DAI working to re-decentralize (less USDC backing)
- Better oracle technology (reduces needed collateral)
- More efficient capital deployment

3. Novel mechanisms:

Ethena (USDe): Delta-neutral derivatives
- Achieves full collateralization without overcollateral
- But introduces new risks (funding rates, counterparties)

Future: Zero-knowledge proofs of reserves?
Better algorithmic models?
Combination of multiple approaches?

4. Regulation as partial solution:

If all fiat-collateralized stablecoins:
- Must hold 100% reserves
- Must allow redemptions
- Must be audited regularly

Then: Centralization becomes less risky
Trust replaced by verification

But: Still not permissionless/censorship-resistant

The Optimal Point?

No consensus, depends on priorities:

For payments/commerce:
Stability > Capital Efficiency > Decentralization
Winner: USDC

For DeFi collateral:
Stability ≈ Decentralization > Capital Efficiency
Winner: DAI or LUSD

For speculation/trading:
Stability > Capital Efficiency > Decentralization
Winner: USDT (liquidity matters)

For ideology/censorship resistance:
Decentralization > Stability > Capital Efficiency
Winner: RAI or future innovations

Systemic Risks and Future Outlook

Concentration Risk

Current market share:

Top 3 stablecoins: $150B / $180B total = 83%

If any of top 3 fail:
- Would affect entire crypto ecosystem
- Billions in losses
- Potential contagion to other stablecoins
- Regulatory crackdown likely

Tether systemic risk:

$110B USDT outstanding
Used on nearly every exchange
Most trading pairs denominated in USDT

If Tether collapsed:
1. Immediate: $110B market cap gone
2. Secondary: Can't trade on many exchanges
3. Tertiary: Panic across all crypto
4. Result: Potential crypto winter

"Too big to fail" but also
"Too central to allow to fail"

Bank Run Dynamics

From "While Stability Lasts" paper:

Model setup:

N users hold stablecoin
Stablecoin partially backed (or algorithmic)
Each user can:
- Hold and earn yield: u = r (interest rate)
- Redeem early: u = v (liquidation value)

If too many redeem:
v < 1 (insufficient backing)
Later redeemers get less

Strategic game: When to redeem?

Equilibrium analysis:

Multiple equilibria possible:

Equilibrium 1 (No run):
- Each user believes others will hold
- No one redeems early
- Stablecoin maintains peg
- Everyone earns r

Equilibrium 2 (Bank run):
- Each user believes others will redeem
- Everyone redeems immediately
- Stablecoin depegs
- Later redeemers get v < 1

Transition: Small shock can flip equilibria

Practical implications:

All partially-backed stablecoins vulnerable:
- Algorithmic stablecoins (high risk)
- Fractional stablecoins like FRAX (medium risk)
- Even crypto-collateralized if illiquid collateral

Only immune: 100% liquid, audited reserves (USDC, theoretically)

But even USDC suffered mini-run (SVB crisis)
→ No stablecoin is truly immune

Regulatory Future

Likely regulatory trajectory:

2024-2025: U.S. framework emerges

Proposed requirements:
- 100% reserves (cash + T-bills)
- Monthly audits (not attestations)
- Federal oversight (OCC or Fed)
- Deposit insurance (potentially)
- Redemption rights guaranteed

Impact on different types:

Fiat-collateralized (USDC):
✓ Can comply easily
✓ May benefit from clarity
✗ Higher costs (insurance, audits)

Crypto-collateralized (DAI):
? Unclear status
May be exempt (decentralized)
Or may need to register as something else

Algorithmic:
✗ Likely banned or heavily restricted
"Unbacked" = securities? commodities?
Regulatory hostility after UST

Global fragmentation:

Different jurisdictions, different rules:

US: Strict requirements
EU: MiCA regulations
Asia: Varies by country
Offshore: Permissive

Result: Stablecoin fragmentation
US-regulated vs offshore vs truly decentralized

The Future of Stablecoins

Predictions for 2025-2030:

1. Consolidation:

Current: 50+ stablecoins
Future: 10-15 major ones

Winners likely:
- USDC (compliance winner)
- USDT (too big to fail)
- DAI (decentralization winner)
- 2-3 new innovations

Losers: Small algorithmic coins, compliance failures

2. Institutional adoption:

Central Bank Digital Currencies (CBDCs):
- Many countries launching
- May compete with private stablecoins
- Or may coexist

Stablecoins become regulated infrastructure
Similar to money market funds
Boring but essential

3. DeFi integration deepens:

More sophisticated use cases:
- Cross-chain stablecoins (native on multiple chains)
- Yield-bearing stablecoins (default interest)
- Programmable stablecoins (smart contract enabled)
- Privacy stablecoins (ZK-SNARK transfers)

4. Better mechanisms:

Innovations in collateral:
- Real-world assets (RWA) as collateral
- Delta-neutral strategies (like Ethena)
- Hybrid approaches (FRAX evolution)
- Better oracle technology

5. Market maturation:

$180B (2024) → $500B+ (2030)
- More institutional use
- More countries adopting
- More payment use cases
- Integration with TradFi

Open Questions

Can we escape the trilemma?

Theory says no
Practice may find approximations
Likely: Multiple stablecoins, each optimizing differently

Will algorithmic stablecoins ever work?

Track record: 100% failure rate
Theory: Reflexivity problem seems fundamental
Verdict: Probably impossible without some collateral

What's the role for decentralized stablecoins?

If regulation makes fiat-collateralized reliable,
Do we still need crypto-collateralized?

Yes, for:
- Censorship resistance
- Permissionless access
- Trustless operation
- DeFi composability

But market share may remain small (<20%)

Will stablecoins remain stable?

Fiat-collateralized: Yes (if properly regulated)
Crypto-collateralized: Mostly (some volatility)
Algorithmic: No (death spirals inevitable)

Overall: Yes, but with caveats
Not all stablecoins are created equal

Conclusion: The Stability Paradox

Stablecoins are crypto's greatest success and greatest vulnerability.

Success:

  • $180B market cap (larger than many fiat currencies)
  • 50M+ users globally
  • Essential infrastructure for DeFi
  • Proven product-market fit

Vulnerability:

  • Concentration in 2-3 tokens
  • Systemic importance (too big to fail)
  • Impossible trilemma (can't have it all)
  • Regulatory uncertainty

Key lessons:

1. Stability requires backing:

No free lunch: Either hold real assets, crypto assets, or face instability
Algorithmic stablecoins are mathematical impossibility

2. Decentralization has costs:

Crypto-collateralized: 150-300% overcollateralization
Capital inefficiency is the price of trustlessness

3. Centralization has risks:

Fiat-collateralized: Trust required
But verification can mitigate (audits, regulation)

4. Multiple solutions needed:

No single stablecoin solves all problems
Different stablecoins for different use cases
USDC for stability, DAI for decentralization

5. Game theory matters:

Self-fulfilling prophecies are real
Coordination failures can break any system
Confidence is fragile, especially for algorithmic designs

The future:

  • Regulatory clarity (2024-2025)
  • Consolidation around winners
  • Continued innovation in collateral mechanisms
  • Integration with TradFi
  • CBDCs as competition/complement

For users:

  • Understand what backs your stablecoin
  • Diversify across types (don't hold only USDT or only DAI)
  • Watch for signs of stress (depeg, bank runs)
  • Remember: Not all stablecoins are equally stable

For builders:

  • Accept the trilemma (can't optimize all three)
  • Focus on specific use case
  • Design for failure modes (bank runs, depegs)
  • Be honest about trade-offs

Stablecoins are here to stay, but perfect stability remains elusive. The search continues.


Prerequisites: Lesson 8.1 (Stablecoins), basic understanding of monetary policy

Key formulas and concepts recap:

Collateralization ratio: R = Collateral Value / Debt Value

Health factor: HF = (Collateral × LTV) / Debt

Capital efficiency: Issued / Collateral

Liquidation penalty: Typically 5-15%

Death spiral condition: LUNA dilution > Market cap absorption capacity

Bank run equilibrium: Multiple stable equilibria in coordination game

Trilemma: Decentralization + Capital Efficiency + Stability → Choose 2

Practice problems:

  1. Calculate the maximum DAI you can mint with 10 ETH at $2,000/ETH if liquidation threshold is 150%.

  2. Analyze a death spiral: If UST has $10B supply, trades at $0.80, and LUNA market cap is $8B, calculate the required LUNA dilution and explain why it triggers a death spiral.

  3. Design a stablecoin mechanism that maximizes two vertices of the trilemma. Specify which two you're optimizing and explain the trade-offs.

  4. Model a bank run: With 1000 users, partial backing at 80%, what's the breakeven point where running becomes dominant strategy?

  5. Compare capital efficiency: Calculate how much capital is needed to issue $1B worth of stablecoin for USDC (100% backing), DAI (150% collateral), and a hypothetical algorithmic coin (0% backing). What are the risks of each?

The search for the perfect stablecoin continues—understanding why it's so hard is the first step toward better solutions.