Summary
Chaos Labs introduces a Risk Oracle framework centered on robust risk management for the integration of Pendle Finance’s Principal Tokens within Aave. This implementation proactively mitigates systemic and market risks while dynamically optimizing capital efficiency and user experience. By continuously adjusting risk parameters, optimally configuring the underlying asset price in accordance with its expected volatility and integrating a killswitch mechanism, the framework ensures resilient risk controls, safeguarding the stability of Aave’s lending markets while maximizing sustainable returns.
At a high level, the proposed specification will have the following components:
- Volatility-Structured Pricing Mechanism – Dynamically streamlines the implied rate using a manipulation-resistant algorithm at defined intervals to determine the price of the Principal Token. Updates are triggered by significant changes in PT price, with their frequency decreasing as the asset nears maturity, ensuring a stable and adaptive pricing approach.
- Liquidity-Responsive LTV Adjustments – Sets LTV to 0 when AMM liquidity is no longer accessible and the market reaches its minimum price due to market proportion constraints.
- Dynamic Risk Parameters – Increases LTV and Liquidation Threshold as the asset approaches maturity.
- Adaptive Liquidation Bonus – Gradually decreases the Liquidation Bonus as the asset converges to maturity.
The proposed design introduces a novel approach that diverges from conventional Oracle system implementations. Specifically, it integrates a pricing mechanism for certain components while simultaneously incorporating specific actions and constraints across various scenarios. This approach enhances the complexity and functionality of the system, making it more dynamic and adaptable to fluctuating conditions. Conceptually, it can be likened to an advanced and more intricate iteration of the Correlated Asset Price Oracle (CAPO), extending its capabilities by introducing additional layers of pricing dynamics and scenario-based decision-making.
Chaos Labs has conducted in-depth research on Pendle’s Principal Tokens, collaborating with Pendle on a Principal Token Risk Assessment and a Mechanism Design Risk Assessment. These assessments provide a comprehensive analysis of the protocol’s intricacies, offering key insights that underpin the rationale behind this implementation. We highly recommend reviewing them for a deeper understanding of the framework’s design and risk considerations.
Motivation
Pendle Protocol’s Principal Tokens (PT) provide a predictable, fixed-yield income by representing the principal value of a Standardized Yield Token (SY) that matures at a predetermined date. Similar to zero-coupon bonds, PTs allow users to lock in returns as a function of the PT price with respect to its 1:1 value with SY at maturity, making them a valuable tool for stable income generation in DeFi.
PTs are created by splitting an SY into Principal Tokens (PT) and Yield Tokens (YT). The PT holds the principal value until maturity, while the YT carries the variable yield component. This separation enables more flexible investment strategies, benefiting users who seek stable returns or speculate on the underlying yield generated within a predefined timeframe.
Since PTs have a fixed redemption value at maturity, they experience reduced volatility as expiration approaches, making them well-suited for traders leveraging yield with lower market risk, and thus integration within lending markets, specifically leveraging with correlated debt assets, creates an opportunity for significant demand and revenue accrual that can be scalably integrated.
Given the complex dynamics of PT tokens, the pricing methodology used within lending markets must be designed to scalably accommodate significant TVL relative to the underlying market. This ensures the mitigation of tail risks, such as bad debt accrual and price manipulation, while simultaneously enabling efficient utilization that accurately reflects the market state in expectation.
However, the current approaches to pricing PT tokens in lending markets remain limited to two relatively inefficient methods: the PendleSparkLinearDiscountOracle and a market TWAP feed. Below, we provide a comprehensive breakdown of these methods, along with their respective trade-offs and inefficiencies.
LinearDiscountOracle
The linearDiscountOracle, the first and most widely adopted pricing mechanism, has secured over $1 billion in PT collateral deposits. It is primarily utilized within Spark Morpho Vaults, underwriting various PT-sUSDe markets through a direct deposit module. This oracle establishes a deterministic price trajectory for PT tokens as they approach expiry, defined by a configured baseDiscountPerYear, ensuring predictable valuation based on time to maturity.
The core rationale behind this approach is its fixed assumption regarding the future state of the underlying asset at a predetermined maturity. By leveraging an exchange rate to price correlated assets with a fundamental underlying representation, the mechanism effectively functions as a derivative—pricing the expected exchange rate itself. This methodology reduces volatility-driven pricing inefficiencies, thereby minimizing potential liquidations.
Underpricing PTs in Expectation
Despite its name, the LinearDiscountOracle operates with an inherently approximative architecture. An alternative implementation could involve a fixed oracle that references a specific Pendle market’s rateAnchor, allowing the oracle-priced implied APY to be dynamically configured at the liquidity density’s highest concentration within predefined bounds. This effectively aligns with what can colloquially be referred to as the expected PT price with respect to time.
Formally, this relationship can be expressed as:
At the pool’s inception, the initialAnchor is strategically selected to concentrate liquidity around the expected implied yield, ensuring efficient pricing and minimizing distortions due to market fluctuations.
As such, mathematically, the expected PT price in relation to the implied APY follows a logarithmic transformation, due to the inherent price <> yield relationship. However, rather than adhering to this expected logarithmic relationship, the LinearDiscountOracle instead employs a linear approximation, expressed as
1 − baseDiscountPerYear * yearsToMaturity(t).
This distinction can be significant because baseDiscountPerYear does not directly represent the implied APY. Instead, due to convexity effects, it produces an implied yield curve that systematically underprices the asset relative to the actual expected implied APY.
To illustrate this effect, we examine the following respective price trajectories for PT-sUSDe-29MAY2025 along with their associated implied APYs:
- Linear Discount Oracle Price
- Expected AMM Price
The Expected AMM Price is derived from 1 / rate_anchor for the market, which is inversely configured to a 25% implied APY. For comparison, baseDiscountPerYear was set to an equivalent nominal value, which is currently utilized in the Morpho market today.
To better understand this deviation, we reconstruct baseDiscountPerYear by transforming it into an implied APY. As shown in the analysis, the LinearDiscountOracle deviates from the expected price. This transformation reveals an effective yield curve whereby the implied APY decreases exponentially over time.
Implications of This Pricing Approach
The outcome of this pricing structure is a dynamic rate of PT convergence:
- Initially, the effective implied APY starts at a high value.
- Over time, this rate gradually declines.
- Although baseDiscountPerYear is set to the expected implied APY, this approximative method systematically underprices PTs in expectation.
- As maturity approaches, the PT price converges to the expected value, in addition to the time-converging pricing properties.
This underpricing mechanism attempts to reduce the risk of overpricing the oracle, particularly as the market nears maturity. The extent of this effect depends on market configuration and time to maturity, akin to the Pendle team effectively deriving the parameterization for the underlying market, shaping how the LinearDiscountOracle interacts with expected market dynamics.
However, this can present further issues under the assumption of significantly large implied APY or time to maturity. The linear derivation implies that for such values, the retrieved PT oracle price can trade significantly lower than any nominal expected PT valuation. Under the assumption of an aggregate 100% implied yield with respect to time to maturity, the oracle price will effectively be worth 0, as can be seen below, rendering the utilization of the oracle infeasible or significantly constrained.
Overpricing PTs
While the linearDiscountOracle implicitly underprices in expectation with respect to 1/rateAnchor, on the flip side, its transformed baseDiscountPerYear can still trade significantly above the market price due to potential downward price volatility with respect to 1/rateAnchor, often causing deviations between market prices and their calculated or oracle-derived values. These deviations, particularly pronounced for assets with a moderate implied yield and time to maturity, such as sUSDe PTs, can result in mispricing that can constrain the listing of certain assets or expiries, especially depending on the initial value chosen. Such mispricing is especially problematic when the market price diverges downward significantly from the oracle price, intended to anchor valuations.
The inverse relationship between implied yield and the price of PT tokens adds complexity to this issue. Mispricing introduces multidimensional risks to lending protocols. As the market price of a PT token falls below the linearDiscountOracle price due to YT speculators, the expected demand for PT leverage dynamically increases both organically and artificially—driven by mispriced collateral and elevated PT yields. For instance, a sudden spike in implied yield causes the market price to deviate further downward from the oracle price. The interest rate willing to be paid by new positions relative to the in-house converging rate can lead to LTV appreciation (given by interest rate > baseDiscountPerYear) and is exacerbated by the additional capital efficiency presented through the overpriced oracle (given by the inverse relationship between yield and price).
As such, a user who acquires PTs at a relatively high implied APY in the market—exceeding the baseDiscountPerYear—is more willing to pay higher interest on the underlying debt when the linearDiscountOracle misprices the asset, compared to a scenario where the Oracle price aligns accurately with the current market price. In an adverse scenario, if the market price were to deviate from the oracle price by more than 1 - LT (effective LTV above 100%), a user can arbitrage the lending market and thus run away with debt, leading to rate-agnostic interest and utilization rate spikes. On the flip side, suppliers unintentionally underwrite mispriced debt, causing rapid debt accumulation within the system. In the plot below, the effective LTV is plotted with a nominal 91.5% LLTV and 25% baseDiscountPerYear as enshrined within the largest PT-sUSDe market today. For higher PT implied yields, the effective LTV can climb above 100% while directionally providing significant yield relative to baseDiscountPerYear.
In addition to the adverse dynamics previously discussed, net interest accrual—and consequently, LTV appreciation—is determined by the difference between the prevailing market interest rate and the baseDiscountPerYear. Given that the deviation between the Oracle price and the market price is significant while interest rates remain elevated, and as demand for the asset continues to grow—both organically and artificially—the rate at which collateral appreciates is fixed. As a result, this fixed appreciation, in expectation, leads to net debt accrual within the protocol.
This dynamic differs from a system that employs a market-driven oracle, where the price would adjust downward as implied yields rise. In such a setup, the expected rate of collateral appreciation would be lower than the interest rate the market is willing to pay. However, due to the presence of baseDiscountPerYear, the protocol exhibits a different behavior: liquidation eligibility becomes more probable, yet actual liquidations are unlikely to occur due to the significant discrepancy between the linear discount oracle price and the market price—particularly when maturity is sufficiently distant or the implied yield range is broad.
It is additionally worth noting that the majority of the debt underwriting PT liquidity utilizing the linearDiscountOracle stems from Maker/Spark. Thus, under the assumption that debt positions cannot be liquidated, the effective “break-even” can be defined as 1 - LLTV due to the ability to internalize liquidations. Our more detailed analysis of this phenomenon can be found here.
Market TWAP Feed
The second asset pricing mechanism is Pendle’s in-house time-weighted average price (TWAP) feed, which features a configurable twapDuration. This enables lending protocols to parameterize a market feed based on the market state.
- A short TWAP window is more susceptible to manipulation but provides a more accurate reflection of recent trades, making it highly responsive during price movements and allowing for faster liquidations.
- A long TWAP window reduces manipulation risks but may delay liquidations, necessitating a higher liquidation bonus to maintain profitability.
TWAP feeds geometrically derive their data exclusively from AMM prices, rather than incorporating order book dynamics typically observed in a given market. While AMM prices and order book prices are generally aligned, a market proportion constraint within the AMM prevents any transaction that would push the concentrated liquidity pool ratio beyond a threshold—specifically, where either PT or SY exceeds 96% of the pool’s composition.
When the pool reaches this 96% constraint in PT terms, the Oracle price effectively reports its maximum implied rate, thereby establishing a minimum price floor. Mathematically, the minimum price minPTPrice can be expressed as the following:
Akin to the initialAnchor, the scalarRoot effectively represents the raw variance of the liquidity distribution and thus the minimum price. This mechanism is crucial for mitigating both rate and price volatility as the pool nears its liquidity limits, reducing the risks associated with potential price manipulation.
This protection is particularly important given the sporadic nature of liquidity in order books. Since no efficiently arbitrageable external market exists to correct artificial price deviations, implied APYs can be manipulated at minimal cost when order book liquidity is low.
However, introducing a minimum price comes with its own set of risks. The market may still price PT lower than the AMM-reported value through the permissionless order book, creating a potential arbitrage opportunity if sufficient order book liquidity exists and there is ample time until maturity. Conversely, if liquidity is insufficient, this mispricing could lead to challenges in executing liquidations.
The chart below illustrates these dynamics within the USD0++ market. While the configured implied APY range within the AMM was heuristically capped at 30%, the market-implied APY derived from the order book ultimately traded well above this range, exceeding 50% with significant volumes. This sharp increase in implied APY stemmed from the realization of speculative points yield associated with the asset, which was ultimately reflected in the USUAL token distribution, causing a sudden spike in the underlying APY.
Additionally, relying on the TWAP feed introduces the risk of cascading liquidations. Speculative underlying yield, driven by points incentives, coupled with the lack of an efficient external market, can weaken fundamental arbitrage. This, in turn, may result in artificial price fluctuations, further destabilizing the market.
Conversely, the fundamental representation of the asset still aligns with an exchange rate oracle, as it is tied to a future date when the underlying will be credited. For example, a dynamic exit queue duration at the Ethereum consensus layer creates an inverse effective payoff for LSTs, influencing market valuation relative to its fundamental underlying exchange rate. This characteristic suggests that PT pricing could incorporate elements of a similar framework.
AMM TWAP Technical Risk
Historically, AMMs designed for swaps are inherently complex systems. To facilitate on-chain settlement, these systems are often artificially constrained, introducing certain limitations. As a result, on-chain pricing mechanisms—such as TWAPs—can experience contagion effects, where price distortions propagate through the system.
These mechanisms must account for numerous edge cases, particularly in scenarios where a nominally lower sale of YT negatively impacts PT pricing, as outlined in our Mechanism Design Risk Assessment. From a security standpoint, even with time-averaging, TWAPs remain more vulnerable to manipulation. This is because manipulation can often be executed feasibly—especially in cases where collateral utilization is significantly large relative to market size. In contrast, off-chain oracles typically employ aggregation, delays, and additional protective measures, making them more resistant to such attacks.
PT Risk Oracle Solution
PT Token Dynamic Risk Profile
As previously discussed and illustrated in various plots, the risk profile of the Principal Token (PT) decreases as the asset approaches maturity. Due to the pool’s market proportion constraint, we can dynamically determine that the maximum potential price drop for PT diminishes over time. As maturity nears, the market price becomes increasingly confined within a tighter range.
This reduction in price volatility means that any decline in PT’s value—relative to its upper bound—becomes progressively smaller. The accompanying plots illustrate this effect, showing how the liquidity distribution density converges over time. Additionally, they highlight the relationship between the minimum PT token price, the expected price, and the maximum implied APY for this market as maturity approaches.
The animation on the left illustrates the liquidity dynamics of a pool, without trades, with high expected yield and a relatively small scalarRoot, highlighting how liquidity can be distributed over a bigger range if necessary.
The animation on the right illustrates the liquidity dynamics of a pool without trades, with a small expected yield relatively large scalarRoot, highlighting how liquidity remains concentrated around the implied exchange rate but narrows the effective trading range.
Given this relationship, risk parameters such as LT (Liquidation Threshold) and LB (Liquidation Bonus) can be quantified dynamically and multidimensionally—as a function of time to maturity and expected implied rate volatility. This allows for an optimal adjustment of max LTV, LT, and LB over time, reflecting the positive drift of PT as it converges toward SY at maturity, alongside reduced price variance due to the monotonic increase in liquidity pool concentration.
This effect is illustrated in the plot below, which represents the amount of liquidity available under 3% slippage for the PT-sUSDe May listing as the market nears expiry, given the current liquidity distribution within the AMM. As the market matures, slippage associated with PT swaps becomes progressively less extreme. This trend is particularly pronounced for assets with lower scalarRoot values, which exhibit greater expected implied yield fluctuation and inherently higher variance in liquidity concentration.
Optimal PT Pricing Methodology
Building on the principles outlined above, we establish an optimal pricing strategy for PTs by integrating the most effective elements from both pricing mechanisms. This approach combines a manipulation-resistant off-chain algorithm to determine the effective implied market rate with deterministic components dynamically tailored to the asset’s risk profile.
A Risk Oracle smart contract processes the lnimpliedrate—a logarithmic representation of the implied APY—before being converted into the PT price in a manner akin to providing continuous recommendations for the Correlated Asset Price Oracle (CAPO). This ensures that pricing remains closely aligned with relative market conditions, enhancing accuracy and resilience against manipulation.
PT Pricing Strategy
The pricing strategy emphasizes a structured, market-driven valuation for PTs, ensuring an accurate and reliable pricing mechanism. Unlike a continuously updated TWAP, this off-chain algorithm updates the lnImpliedRate only when the internal deviation threshold—set at 1% in PT price terms—is exceeded, alongside a configured heartbeat. The internal computation of the lnImpliedRate incorporates duration-based factors, requiring a significant time lapse before adjustments occur. This approach ensures that rate updates only take place when a meaningful market-driven price deviation exists, reducing the risk of manipulation.
Moreover, with the deviation threshold remaining constant in PT price terms, its impact evolves dynamically with time to maturity. As illustrated above, the asset’s risk profile and expected volatility naturally diminish as maturity approaches. Consequently, as shown in the plot below, the lnImpliedRate Delta required to trigger a rate update grows exponentially over time under the 1% price deviation threshold, following:
This results in a logarithmic decline in update frequency, ultimately converging to zero as maturity nears. For context, the maximum hypothetical lnImpliedRate change in the PT-sUSDe-29MAY2025 market—assuming an oracle price movement from its highest to its minimum price—is 17.09%. Under this framework, the PT-sUSDe price would effectively cease updating once it reaches 21 days until maturity, converging deterministically thereafter.
Any interest accrual resulting from rate mispricing relative to market value would be minimal, as the frequency of updates naturally decreases as the asset approaches maturity. This effect is further mitigated by the implemented risk controls, ensuring stability and alignment with market conditions.
Moreover, since PT price is logarithmically defined in relation to implied APY, triggering a new rate update requires a larger effective APY shift for higher lnimpliedrate values. This ensures that rate adjustments align with the asset’s expected volatility. As maturity approaches, market prices naturally converge toward the oracle price, reducing the need for frequent adjustments. Additional safety precautions at the minimum price, which will be explored in the next section, further reinforce this.
Below is a simulation of the streamlined rate algorithm for the PT-sUSDe26DEC2024 market, assuming a 0.5% deviation threshold and no heartbeat (for further visuality). The simulation also presents the performance of alternative price trajectories, including:
- Market Rate and Price – Tracking real-time movements.
- Expected Price (1 / Rate Anchor) – The theoretical price derived from the rate anchor.
- linearDiscountOracle – Calculated with a 25% base discount per year to provide a structured rate adjustment.
As observed, the required lnImpliedRate to warrant an update grows significantly over time.
Secondary Pricing Component
Each SY token contract calculates an exchange rate that determines the value of each SY token—and, by extension, each PT at maturity—in terms of the underlying asset. This rate ensures accurate yield pricing and guarantees that 1 PT redeems for exactly 1 unit of the underlying asset at maturity. The method for determining this exchange rate varies based on the underlying token: some contracts use fixed rates (e.g., LBTC, where yields are not compounded), others query the yield-bearing token’s smart contract directly (e.g., sUSDe), and certain assets rely on Pendle’s custom off-chain oracles (e.g., rsETH).
For example, the value of PT-sUSDe is anchored to 1 USDe per SY token at maturity, rather than 1 sUSDe. Consequently, the asset’s aggregate pricing is implicitly defined by the underlying exchange rate, represented as:
sUSDe(SY) * PT price * (1/(sUSDe/USDe exchange rate)
Notably, this formulation is intentionally redundant, as sUSDe must be the input asset in this context.
Tertiary Pricing Component (Underlying)
This component primarily involves anchoring the quote asset to USD. In ETH-anchored markets, this is relatively straightforward. However, USDe can theoretically follow multiple pricing methodologies, as extensively discussed in this thread.
Currently, Spark Morpho Vaults underwrite PT-sUSDe using a LinearDiscountOracle, with USDe hardcoded to 1. Meanwhile, a proposal to adjust the configuration from a USDe/USD market feed to a USDT/USD feed on Aave is currently at the ARFC Snapshot stage.
Conditionally Setting LTV to 0 When Reaching Minimum Price (Killswitch)
As outlined in the TWAP section, the minimum price represents the point at which the AMM reaches the market proportion constraint of 96% in PT.
At this stage, the AMM can no longer facilitate liquidity provision or influence price downward movements. However, within the internal market order book, the PT can still be permissionlessly priced below this threshold if the implied APY surges significantly relative to the time to maturity and the configured range. This mechanism provides a potential avenue for acquiring the underlying PT token at a market-determined value.
Thus, when the minimum price is reached, there exists a “killswitch” functionality within the risk oracle, in which the LTV ratio is automatically set to 0, effectively freezing the market. This ensures that new debt cannot be issued when market prices fall below the oracle’s minimum hypothetical valuation, preserving the integrity of the system. By setting LTV to 0, Aave remains insulated from arbitrage risks that could arise if the traded price of PT drops below the oracle-reported minimum price, as well as surging interest rates while the underlying rate of collateral appreciation remains fixed at the maximum implied APY within the AMM yield range. Moreover, on the flip side, the possibility of liquidating debt positions would likely be infeasible, either due to a significant market price deviation coupled with sporadic and potentially sparse liquidity. The implications of such a configuration imply that the lending market can feasibly mitigate risks associated with an implied APY repricing event, given the fact that the initialized liquidity range is immutably configured by Pendle at market genesis.
Once reaching the tail of the market, the trigger for unfreezing the market leverages the reasonable trading range of 90%, as referenced in the liquidation bonus section.
Pause LTV: (LTV=0)
Where PT and SY are the nominal token values, not normalized by the price.
Re-enable LTV:
- Threshold for re-enable: 0.9
- if in the last 3 days, 80% of the time pool ratio was below the re-enable threshold
- And the current ratio is below the re-enable threshold
→ activate LTV again using the function above.
Dynamic Liquidation Bonus
The Liquidation Bonus can be dynamically defined as the relative difference between the minimum reasonable trading range price and the expected price, where liquidity density is at its highest. This definition emerges naturally from the concept of continuously concentrating liquidity with respect to price.
A key parameter in this framework is the scalarRoot (or rateScalar), which effectively serves as the variance component of the liquidity distribution. It also acts as a representation of the expected price volatility relative to the expected value, rateAnchor (or initialAnchor). The derivation of this parameter is crucial in determining the “reasonable trading range”, spanning from 10% to 90% proportion p of the AMM pool, as mathematically outlined in the Pendle whitepaper. This is illustrated through the function ln(p/ 1−p), which highlights that price impact increases substantially when p > 0.9. Consequently, liquidations are not expected to occur beyond this threshold. Mathematically defining our lowerTradingRangePrice_t:
Furthermore, this representation aligns with the expectation of liquidation events arising due to downward PT price movements. It accounts for a combination of factors: the expected frequency of liquidations, the price level where liquidity is most concentrated, and the lower bound of the trading range where liquidators can efficiently execute liquidations before liquidity becomes too thin.
The relationship between the minimum price and the minimum reasonable trading range price can be expressed logarithmically over time, reflecting the downward convergence of expected volatility. The plot below visually represents this trend.
Interplay with Underlying Asset LB
The mathematical derivation can be expressed in the context of the Pendle AMM framework. However, when considering a scenario where the correlated debt asset differs from the underlying asset, the liquidation process involves two sequential steps:
- Conversion of PT to SY (the underlying asset)
- Exchange of the underlying asset for the debt asset
This creates a two-legged liquidation event, requiring liquidators to be compensated for both steps. A defined exchange rate governs the PT-to-SY conversion—for example, sUSDe/USDe—meaning potential market price deviations may necessitate additional compensation. To maintain proper incentives, the liquidation mechanism should incorporate an additive compensation structure, leveraging the underlying asset’s liquidation bonus available in the market.
Dynamic Liquidation Threshold
To dynamically model the Liquidation Threshold, we establish a worst-case scenario condition that ensures bad debt does not accrue. This requires maintaining the inequality:
This inequality accounts for the worst-case price movement of the PT token, assuming that its price, starting from 1, converges to the minimum possible value without any Oracle updates within the timeframe. This assumption considers the collateral obtained by a prospective liquidator, both adjusting dynamically, under the assumption of no net interest accrual.
Given the inverse relationship between the PT token price and implied yield—where the PT price deterministically converges to 1 as it approaches maturity—the LTV 0 constraint plays a crucial role in preventing debt accrual from mispriced PT collateral. Furthermore, in such a scenario, the expectation that the oracle updates in a controlled manner—particularly in response to significant changes in implied APY—ensures that the expected rate of collateral appreciation is redefined after an initial price drop. This mechanism helps stabilize the system by aligning liquidation dynamics and collateral valuation with updated market conditions. As a result, this structure significantly reduces the likelihood of net interest accrual, further reinforcing the validity of the inequality governing the Liquidation Threshold.
Below, we illustrate the dynamic liquidation threshold for PT-sUSDe-29MAY2025 as it converges toward maturity. Under our proposed implementation, the liquidation threshold is determined as the minimum between the calculated LT and the underlying LT currently used in the market. This approach ensures an additive structure that fully accounts for the risk profile of the underlying asset, maintaining a robust and adaptive liquidation framework.
Additional Considerations
PT Collateral Debt Assets
This framework assumes that the protocol does not permit traditional collateralization of PTs in a generalized manner. Instead, borrowing is restricted to assets that are either directly correlated with the PT token’s underlying asset or exhibit strong correlation through Liquid Emode configurations. This approach minimizes the impact of market volatility and helps maintain stable collateral-to-debt ratios.
Restricting PT Borrowing
At maturity, a sharp increase in PT token withdrawals is expected, potentially straining liquidity if PT were borrowable. Furthermore, the borrowing mechanism—where an attacker can buy YT by borrowing SY from the pool, minting PT and YT, and then selling PT back to the pool—creates an opportunity to artificially suppress PT’s price with minimal capital. These combined risks suggest that allowing PT borrowing would introduce unnecessary market vulnerabilities. To mitigate these tail risks and ensure sufficient liquidity for withdrawals, we strongly advise against permitting PT borrowing in any protocol.
Pendle Market Parameterization
The feasibility of listing specific PT tokens additionally depends on the Pendle market’s parameterization. If the implied APY range is too narrow relative to the expected underlying APY, the likelihood of hitting the minimum price increases. Therefore, when evaluating new listings, it is essential to assess the asset’s implied APY range to determine whether it aligns with sustainable market dynamics.
Underlying Asset Integration
Before a PT can be listed, its underlying asset must first be deemed suitable for listing on Aave, having met the necessary criteria, including the associated implied Secondary Pricing Component enshrined within the PT pricing structure.
PT Underlying as Debt Asset
If the underlying debt asset is configured to be the underlying of the PT token, we will no longer adhere to underlying parameters given the correlation with its underlying counterpart. For instance, LBTC-denominated debt for PT-LBTC collateral would result in a parameterization that solely looks at the Pendle AMM, thereby further increasing capital efficiency.
Benefits of Utilizing Chaos’ Risk Oracle
- The pricing mechanism is structured as a function of time to maturity and market-implied yield, ensuring a manipulation-resistant market price. It updates more frequently when far from maturity and follows an effectively deterministic price trajectory as maturity approaches, aligning with tail risks.
- The killswitch mechanism prevents toxic debt accumulation at the minimum price, mitigating excessive interest rates and maintaining liquidity stability even if the price moves out of range.
- Capital efficiency improves as the market nears maturity, with LT increasing and LB decreasing, aligning with the asset’s evolving risk profile.
- Net interest accrual is reduced when the deterministic linear discount oracle rate is replaced by an updated, higher implied rate. However, deterministic behavior emerges only as the market nears maturity, minimizing cumulative net interest accrual.
- Liquidators remain well-incentivized through the updated oracle, ensuring efficient market operations when intervention is necessary.
- The mechanism eliminates the risk of AMM TWAP manipulation, reinforcing market integrity.
- Systemic events occurring within the underlying asset are greatly mitigated due to the associated risk controls.
Disclaimer
Chaos Labs has not been compensated by any third party for publishing this proposal. The Pendle team has compensated Chaos Labs for the referenced risk reports.
Copyright
Copyright and related rights waived via CC0