#2: Anatomy of Floors — How Permanent Price Support Actually Works

In Article #1, Floors: A Design for Floor-Backed Tokens, we introduced the concept of tokens with monotonically increasing floor prices and previewed the core mathematical invariant. This piece opens the engine room—with clear rules, simple mental models, and a detailed exploration of how the mechanism achieves its guardrails.

From Philosophy to Mechanism

Floors implements a rules-based, published redemption floor intended to be non-decreasing under the protocol's parameters, computed from spendable reserves and redeemable supply. The mechanism is on-chain and independently verifiable.

Important to understand: Floors does not manufacture demand or upside. It converts trading and borrowing fees into permanent reserves that support a rising redemption floor; upside remains market-driven. If a token lacks utility or demand, Floors cannot magically increase its value. What it aims to do is to bound downside and, with sustained activity, reduce it over time.

Floors achieves this through four carefully orchestrated components:

A rising floor with reserves that computes a minimum redemption price
A bonding curve above it for predictable trading
Two liquidity sources that continuously push the floor higher
Debt-aware accounting that is designed to ensure calculations are backed by real, spendable assets

Let us walk you through how these pieces fit together.

The Mental Model: A Rising Floor with a Staircase Above

Picture a landscape where a computed floor price forms the bedrock foundation. This floor represents the minimum price at which any token holder can redeem on the primary market, but it is more than just a safety net—it is an active price level where trading can and does occur. Above this floor, a stepwise bonding curve rises like a staircase, creating distinct price tiers for trading.

The Floor Area, backed by reserves, is designed to ensure that tokens can always be redeemed at the floor price on the primary market. When market demand is low, trading may occur at this floor level. The protocol will always honor sells at this price, drawing from floor reserves if necessary.

The Premium Area above represents premium tiers available for trading when demand pushes prices higher. Each tier has a fixed price and capacity—think of them as massive limit orders that are designed to be persistent. No slippage within a tier; price is discrete across tiers. You know exactly what the price will be.

As fees accumulate and flow into floor reserves, the floor rises and begins absorbing the lower tiers of the bonding curve. When the floor reaches a higher tier's price level and has sufficient reserves to honor that entire tier, the tier merges into the floor. What was once a higher trading tier becomes the new programmatically targeted minimum. This is how volatile value transforms into permanent backing.

The floor expands by merging with subsequent price tiers.

The Math

Notation

Floors Protocol Notation Diagram

Redemptions: The Floor Guardrail in Practice

The floor price represents a contract-enforced minimum redemption price on the primary market. It is strictly constrained by spendable reserves only:

$P_f \le \frac{L_f - D}{S_0}$

where L_f is liquid assets, D is any senior/pari-passu liability that reduces what is immediately spendable, and S_0 is Tier-0 supply.

The published floor $P_f$ works as a one-way ratchet: it increases when reserves grow (via fees/yield) but never decreases even if utilization rises. The protocol enforces a Solvency invariant that prevents any borrowing or withdrawal that would violate the backing requirement ( $L_f - D \ge P_f \cdot S_0$ ).

Key distinction: The floor represents Tier-0 of the bonding curve—a live trading tier where ALL tokens at this tier must be fully backed by reserves, regardless of whether they are locked or unlocked. This ensures complete solvency for the floor tier at all times.

Every accepted redemption is designed to be fully covered by these spendable reserves. When you redeem tokens at the floor, you receive the floor price worth of reserve assets minus any applicable fees.

Redemptions: Throughput, Not Solvency

The primary market is designed to prevent redemptions below the published floor price when processed, but it does not guarantee instantaneous execution. If immediate liquidity is insufficient, the protocol employs a Redemption Queue.

FIFO Enforcement: Requests are settled in the order they were received.

Snapshot Pricing: Users lock their exit price at the moment of the request, shielding them from market volatility during the wait.

Liability Accounting: The protocol tracks pending redemptions as explicit liabilities, ensuring that the system remains solvent for all participants (both queued and remaining holders).

Liquidity Management: The queue automatically attempts to harvest liquidity from yield strategies to settle pending exits.

Coverage Check: Solvency Guardrails

The protocol enforces a critical coverage check before any operation that could affect solvency:

$A_f - \Delta D \geq P_f \cdot S_{0,\text{post}} + \text{buffer}$

Where:

This check is designed to ensure that, after accounting for any new loans, the remaining floor backing still covers all Tier-0 tokens at the published floor price plus a safety buffer.

The Core Equation: One Formula, Total Transparency

The entire protocol's guardrail reduces to one line that anyone can verify onchain:

$P_f \le \frac{A_f}{S_0}, \quad A_f = L_f - D$

We compute the floor backing from spendable reserves only (cash and instantly usable assets). Yield-bearing wrappers are excluded or haircutted until unwrapped, so the published floor is always payable.

The floor $P_f$ tracks the growth of spendable assets per Tier-0 token but locks in its value to ensure it never falls. The protocol ensures $A_f$ is always sufficient to cover redemptions at the published floor. We only count actual spendable reserves, excluding IOUs from borrowers, to maintain a conservative and trustworthy guardrail.

Proof that redemptions cannot decrease the floor:

If x tokens redeem at the floor P_f:

$A_f' = A_f - xP_f, \quad S_0' = S_0 - x$

Then:

$\frac{A_f'}{S_0'} = \frac{A_f - xP_f}{S_0 - x} = P_f$

With tick rounding, $\lfloor A_f' / S_0' \rfloor_{\text{tick}} = P_f$ (never lower).

Why? Because $A_f = P_f \cdot S_0$ (by definition), so $A_f - xP_f = P_f(S_0 - x)$ .

Conclusion: Redemptions at the floor leave the floor unchanged. Combined with revenue injection, the floor can only rise.

How the Floor Rises

The protocol employs two liquidity sources to push the floor higher, each contributing in different market conditions:

1. Revenue Injection (External Liquidity)

Provides the most consistent upward pressure. Every trade generates fees, and a portion of these fees flows directly to the floor reserves. With a $10 million daily volume, at 30 basis points in fees and 50% allocated to the floor, that results in$ 15,000 per day added to permanent backing—approximately $5.5 million annually, which can never be withdrawn except through redemptions.

The annual floor elevation from fees follows:

$\text{Annual Floor Lift} \approx V \cdot f \cdot \alpha \cdot 365$

Where V = average daily volume, f = fee rate, and α = floor allocation percentage. Example: $10M daily volume × 0.3% fees × 50% to floor × 365 days =$ 5.475M annual floor injection.

Revenue injection also includes passive yield sources that keep the floor rising even during quiet periods. Floor reserves can be held in yield-bearing forms, such as aUSDC or sAVAX. As yield accrues, it adds to floor reserves, creating steady upward pressure. For wrapped reserves (aUSDC/sAVAX), A_f uses redeemable value minus any protocol-specified haircut (excluded or haircutted until unwrapped).

2. Liquidity Reallocation (Internal Liquidity)

Lets governance lock in gains during good times. When markets trade well above the floor, excess liquidity can migrate from premium price tiers down into floor reserves. The Liquidity Reallocation (LRE) follows strict but customizable, governance-driven activation rules: only when the market price exceeds the floor by ≥X%, the implied volatility is ≤Y%, and there have been ≥Z hours since the last reallocation. These guardrails prevent manipulation and ensure stable conditions for value capture. All these conditions could be randomized to prevent frontruns.

Both liquidity sources feed into the same process: increase floor reserves → recalculate floor price → attempt to merge tiers if conditions allow.

When Do Tiers Merge?

The floor price rises continuously with each revenue injection, but tier merging happens at specific moments when two conditions align:

$\text{Merge next tier at } P_{\text{tier}} \text{ only if } P_f \geq P_{\text{tier}} \land A_f \geq P_{\text{tier}} \cdot S_{0,\text{post}}$

where S_{0,post} is the Tier-0 supply after the merge, if any locks/unlocks are triggered by the merge. Merges are atomic; no partial merges.

This creates two rhythms of value accrual. You have the steady drumbeat of small floor elevations from daily fees—perhaps raising the floor by fractions of a percent. Then come the transformative moments when accumulated reserves enable a tier merge, potentially jumping the targeted price several percent at once.

Market Alignment Through Profitable Arbitrage

The relationship between Floors and external markets creates a fascinating dynamic where arbitrage strengthens rather than extracts value.

Let's say the floor price is $1.00, but due to temporary market conditions, a token is trading on LFJ at$ 0.95. Here's what happens:

Arbitrageur spots the opportunity: Buy at $0.95 on LFJ, redeem at$ 1.00 on Floors
Execute the trade: Purchase 10,000 tokens for $9,500 on LFJ
Redeem through Floors: Sell those tokens to the protocol at the floor price of $1.00
Profit: Receive $10,000 from redemption, net profit of$ 500 minus gas fees

This arbitrage has two effects:

Immediate: Buying pressure on LFJ pushes the secondary market price back toward the floor
Long-term (The "Shortened Floor"): Each redemption removes supply from $S_0$ . Since the cost to lift the floor by one tick is $\Delta L_f = \Delta P \cdot S_0$ , a smaller $S_0$ makes the floor "lighter" and faster to raise. Future fee inflows will now lift the floor price more quickly than before. This creates an antifragile property: bear markets that trigger redemptions actually accelerate the floor's velocity for remaining holders.

The protocol doesn't need to intervene—market forces naturally maintain price alignment.

Scalability: Harmonic Step Sizes

A common question is: "If the floor keeps merging with higher tiers, won't $S_0$ become so massive that the floor stops moving?"

If every merged tier added the same amount of supply, the floor would indeed become "heavy" over time (scaling at $O(m^2)$ ). To prevent this, Floors uses Harmonic Tier Capacities. As the price gets higher, the amount of supply added by each new tier decreases harmonically ( $Capacity \propto 1/n$ ).

This simple design choice changes the long-term scaling constraints from quadratic to logarithmic ( $O(m \log m)$ ). Even after years of operation and many tier merges, the reserve requirements for lifting the floor remain manageable, ensuring that the mechanism remains dynamic and the floor keeps rising rather than stagnating.

Why This Feels Different

Traditional token markets operate on a zero-sum basis. Early holders need later buyers to exit profitably, creating adversarial dynamics and boom-bust cycles.

Floors creates positive-sum cooperation. Every participant's activity strengthens the position of everyone else. Early participants benefit from appreciation and fee accumulation. Later participants enter with stronger guarantees. Stakers earn from protocol activity. Borrowers pay origination fees that raise the floor. Even arbitrageurs contribute through their trading activity.

The designed rising floor transforms the emotional experience from one of anxiety to one of anticipation. Instead of watching charts with dread, holders watch fee accumulation with satisfaction. Each transaction adds another brick to the foundation. The cognitive burden of constant decision-making disappears when your downside is bounded and shrinking.

Safety Through Simplicity

The protocol maintains straightforward invariants: spendable assets must always cover the floor price times redeemable supply. The floor formula is not intended to decrease under normal operation. Sustained undercuts are expected to be arbitraged; transient dislocations can occur. Tiers merge only when fully backed. These are simple rules that compound into robust guardrails.

Article Series Overview

This is the second article in a blog series exploring the Floors architecture. The series is listed below:

#1: Floors - A Design for Floor-Backed Tokens [Link]
#3: Presale & Leverage Reimagined - Spot leverage and credit without liquidations [Soon]
#4: The Stakers - Patient capital and its rewards [Soon]
#5: Self-Collateralizing Debt Financing - Leverage Without Liquidations [Soon]

The next article #3: Presales & Leverage—Reimagining Token Launch will explore how flat-price presales and liquidation-free leverage work within the Floors framework, introducing KPI-based vesting and spot leverage through the credit facility while preserving the monotonic floor that makes it all possible.

The floor mechanism presents a novel approach to token economics that is worth understanding.

Disclaimer

Floors Finance is experimental DeFi. Not investment advice. Participation involves significant risk, including possible total loss.

Full disclaimer: https://www.floors.finance/risk-disclosure

Published: October 8, 2025
Author: Floors Finance Team
Twitter: @FloorsFinance