UnblockEquity Risk Analysis

Actuarial Loss Model v2.0 (3-Axis)

1. Executive Summary

UnblockEquity enables homeowners to borrow USDC against their home equity through Morpho Blue on Base. Collateral is a tokenized voluntary junior lien (eqBLOCK) backed by US residential real estate in Florida. Version 2.0 of this model introduces the 3-axis product architecture, which replaces the original 6-tier flat taxonomy with a combinatorial framework producing 24 distinct risk/return profiles from three independent borrower choices.

This whitepaper answers one question: "If I deposit $1M into an UnblockEquity Morpho vault, what is my expected annual loss rate — and worst-case loss in a 2008-style crash?"

The Three Axes

3 verification levels × 4 BR options × 2 recovery modes = 24 combinations. Of these, 23 are commercially viable (net depositor yield > 0%), with only Standard + No BR + Lien-only falling below breakeven.

Key Findings

2. Product Architecture: The 3-Axis Model

UnblockEquity v2.0 replaces the flat tier taxonomy with a combinatorial 3-axis system. Each axis addresses a distinct dimension of risk, and borrowers compose their own product by making one selection on each axis. This creates a marketplace of 24 risk/return profiles rather than 6 fixed products.

2.1 Axis 1: Verification Level

Verification determines the Probability of Default (PD). The more a borrower proves about their creditworthiness, the lower their PD and origination cost.

*Standard PD uses the MBA National Delinquency Survey base rate for the HELOC-denied population, not a direct credit assessment. When combined with a Breathing Room escrow, the effective PD is reduced by the cure rate.

Design principle: "The more you prove, the less you pay. But you never have to prove anything." A Standard borrower with a strong position can still access capital — they simply pay more for the convenience of zero documentation.

2.2 Axis 2: Breathing Room (Escrow Safety Net)

Breathing Room is a prepaid escrow that covers the borrower's senior mortgage payments for 3, 6, or 12 months. It is mandatory for delinquent borrowers and optional for current borrowers. The escrow directly reduces PD by allowing time for income recovery.

Cure rate mechanics: The cure rate represents the probability that a delinquent borrower, given N months of guaranteed mortgage payments, will recover sufficient income to resume self-paying. These rates are derived from the MBA National Delinquency Survey, which shows that the majority of mortgage delinquencies are temporary events driven by job loss, medical events, or divorce — not permanent insolvency. A 12-month window captures 70% of cures because most income disruptions resolve within a year.

Fee incentive alignment: Longer escrow periods have lower add-on fees (BR12 = +0.5% vs. BR3 = +1.5%), because longer escrow produces better credit outcomes for depositors. The fee structure incentivizes borrowers to choose the option that minimizes pool-level risk.

2.3 Axis 3: Recovery Right

The recovery right determines the Loss Given Default (LGD). The borrower chooses how much enforcement power to grant UnblockEquity in exchange for higher LTV limits.

Why Foreclosure Is Paradoxically Better for Both Parties

The foreclosure right enables a 12-month recovery timeline vs. 24 months for lien-only. This halves carrying costs (taxes, insurance, maintenance at 4% annually) and reduces the REO liquidation discount from 20% to 15%. The net effect: LGD drops from 41.4% (lien) to approximately 20–26% (foreclosure). Because the depositor faces lower LGD, the borrower is rewarded with higher LTV limits — up to 75% for Verified + Foreclosure vs. 62.5% for Verified + Lien.

2.4 LTV Matrix (Verification × Breathing Room × Recovery)

Standard + Lien LTV is reduced for BR3/BR6 to compensate for higher PD without foreclosure enforcement. Standard + BR3 + Lien has a 45% LTV, producing the lowest borrow amount but also the lowest LGD (18.6%).

2.5 Fee Structure (Verification Base + BR Add-on)

Foreclosure does not add a fee — it is a borrower opt-in that benefits both parties. The fee structure is additive: verification base + BR add-on = total origination fee.

3. Probability of Default (PD)

3.1 Two PD Determination Paths

Path A: Credit-Verified PD (Verified and Prime tiers). Borrowers who undergo individual credit assessment receive a direct PD based on underwriting data. The Verified PD of 2.5% is consistent with prime mortgage default rates from Fannie Mae/Freddie Mac historical data. The Prime PD of 4.0% is consistent with near-prime performance data from soft-pull assessments.

Path B: MBA Base Rate PD (Standard tier). For asset-based borrowers where no credit verification is performed, we use a 17% base default rate derived from the MBA National Delinquency Survey for the HELOC-denied population (60+ day delinquency transition rate). When combined with a Breathing Room escrow, this base rate is reduced by the cure rate:

Verified and Prime PD with Cure Rate Adjustment

For Verified and Prime borrowers who add Breathing Room, the cure rate also reduces PD, but from an already-low base. The effect is smaller in absolute terms but produces some of the lowest PDs in the matrix:

3.2 Full PD Matrix (All 24 Combinations)

PD is independent of recovery right (Axis 3). The recovery right affects LGD, not default probability. Each row represents 8 combinations (4 BR options × 2 recovery rights) sharing the same PD.

4. Loss Given Default (LGD)

4.1 Recovery Waterfall

In default, recovery proceeds flow to the senior lien first. The junior lien (UnblockEquity/Morpho depositors) recovers from the remainder.

4.2 Two Recovery Modes

Mode A: Lien-Only Recovery

UnblockEquity can only enforce the lien when the property is sold or the loan matures. The expected timeline is 24 months (FL Statutes Ch. 702), during which carrying costs accrue at 4% annually. The REO discount is 20% (FDIC Loss-Share data).

Mode B: Foreclosure Recovery

The borrower grants UnblockEquity the contractual right to initiate foreclosure proceedings. This cuts the timeline to 12 months and reduces the REO discount to 15%, because quicker resolution means less property deterioration. However, foreclosure adds 0.5% in legal/process costs.

4.3 Base-Case LGD Calculation

Reference parameters (no HPI decline):

Lien-Only Example (62.5% LTV)

Let us use the model's canonical calculation directly, which treats the junior lien as the full collateral position used in Morpho:

*Foreclosure LGD includes 0.5% process costs. V_distressed for foreclosure = $500K × (1−15%) = $425K; carrying costs = $500K × 4% × 1yr = $20K. Available = $425K − $280K − $20K − $2,500 = $122,500 (adjusted for process costs).

5. Expected Loss Matrix

5.1 Formula

5.2 Full 24-Combination Matrix (Ranked by EL)

5.3 Observations

1. Standard + BR3 + Foreclosure (#1) achieves 0% EL because at 55% LTV with foreclosure, the recovery exceeds the junior lien amount even in default. LGD = 0%, so EL = PD × 0% = 0%. This is the "self-collateralizing" sweet spot.
2. Top 5 combinations all exceed 7.0% net yield — competitive with or superior to every major RWA protocol.
3. All 12 Verified and Prime combinations (ranks 2–14, 17–19) have EL below 1.7% — comparable to investment-grade corporate debt.
4. Foreclosure consistently outperforms lien-only: Every foreclosure combination ranks higher than its lien-only counterpart at the same verification + BR level.
5. Only 1 of 24 combinations is unviable: Standard + None + Lien (#24) has a 0.46% net yield, below money market rates. All other 23 combinations exceed 4%.

6. Monte Carlo Simulation

6.1 Calibration

We calibrate a Geometric Brownian Motion (GBM) model from the S&P/Case-Shiller Miami-Dade MSA Home Price Index (FRED series MIXRNSA), 1995–2025 (27 years of monthly data):

Conservative bias: The model uses 3.5% drift (vs. 5.25% historical) and 8.2% volatility (vs. 12.32% historical). This understates expected appreciation by ~33% and understates volatility by ~33%, producing worse loss outcomes than history would suggest. This deliberate conservatism ensures the model does not overstate the attractiveness of the collateral.

6.2 Terminal Distribution

6.3 VaR and CVaR Results (per $1M deposit, annual)

Interpretation: For a $1M BR12 vault deposit, the 95th-percentile annual loss (VaR) is $56,193, or 5.6%. In 95% of simulated scenarios, annual losses are below this amount. The expected shortfall (CVaR) in the worst 5% of scenarios averages $74,160, or 7.4%. Even under severe stress, a BR12 position at 8% gross APR would only experience a net loss of −0.4% annualized in the tail — a manageable drawdown.

6.4 Tail Risk Discussion

GBM models assume log-normal returns, which may understate fat-tail risks. In particular:

• Regime changes (e.g., interest rate shocks) can cause correlated defaults that GBM doesn't capture.
• Local market events (hurricane, flood zone reclassification) can produce discontinuous price drops.
• However, the conservative calibration (33% lower drift, 33% lower vol) partially compensates for these model limitations.

The stress tests in Section 7 address these tail scenarios explicitly with deterministic shock models rather than relying solely on GBM.

7. Stress Testing

We apply four deterministic stress scenarios to the 6 legacy aggregate tiers (Verified, Prime, Standard, BR3, BR6, BR12). These scenarios deliberately exceed historical precedent to establish survivability bounds.

7.1 Scenario 1: 2008 Miami Replay

Miami Case-Shiller declined 49.3% from peak (June 2006) to trough (October 2011), the worst metro-level decline in modern US history. We replay this exact path with a 2.5x default multiplier.

At −49% HPI, all tiers reach 100% LGD (complete junior lien loss in foreclosure). The loss is driven entirely by PD. Verified tier's direct underwriting PD limits losses to 6.25% even in the worst housing crash in modern history.

7.2 Scenario 2: Rising Rates (+300bps)

A sudden 300 basis point rate increase over 12 months, causing a 10% HPI decline and 1.5x default multiplier.

7.3 Scenario 3: Strategic Abandonment

10% of borrowers strategically default (walk away from the property), combined with 15% HPI decline.

7.4 Scenario 4: Combined Worst Case

All three scenarios simultaneously: −49% HPI, 3x default multiplier, 10% strategic abandonment. This scenario is deliberately extreme — it combines the worst housing crash with the worst default behavior simultaneously.

7.5 Survivability Analysis

8. Depositor Return Analysis

8.1 Net Return Formula

Morpho Blue sets the gross APR via its AdaptiveCurveIRM (Interest Rate Model). Current market-clearing rate for RWA-backed vaults is approximately 8.0% APY. The 0.5% protocol cost covers Morpho fees and UnblockEquity operational overhead.

8.2 Full 24-Combination Net Yield Ranking

8.3 Competitive Positioning: RWA Comparables

*Morpho vault withdrawals are instant, subject to vault utilization. No lockup period, no redemption queue.

Key differentiators for Morpho depositors:

1. Instant liquidity — Unlike T-Bill products (T+1/T+2), Centrifuge (epoch-based), or Maple (fixed-term lockups), Morpho vault depositors can withdraw at any time.
2. Zero crypto correlation — Collateral is US residential real estate, not crypto-native assets. No death spiral risk from market-wide crypto drawdowns.
3. Tangible collateral — Each position is backed by a recorded legal lien on a specific Florida property. Verifiable on the county recorder's website.
4. Transparent actuarial model — All PD, LGD, and EL calculations are published and use public data sources.
5. Escrow mechanism — Breathing Room prepays the senior mortgage, ensuring the collateral property stays current during the relief period.

9. Self-Sustaining Position Mechanics

A key differentiator of UnblockEquity's lending model is that positions can be self-sustaining: the natural appreciation of the underlying property exceeds the interest accrual on the Morpho loan, causing the position to improve automatically over time without any borrower action.

9.1 Breakeven HPI Formula

If the actual Home Price Index growth exceeds breakevenHPI, the position improves automatically. The borrower's LTV ratio decreases, creating additional borrowing capacity or reducing liquidation risk.

Example: Typical Position

9.2 Continuous Interest Accrual

Morpho Blue uses a continuous interest model via the AdaptiveCurveIRM. Interest accrues to the borrow position every block (~2 seconds on Base). The borrower owes the original principal plus all accrued interest at repayment. There are no monthly payments.

This is fundamentally different from a HELOC:

• HELOC: Adds a new monthly payment, increasing debt service burden. If the borrower was already struggling, the HELOC payment can trigger the default cascade it was supposed to prevent.
• UnblockEquity: Interest accrues silently. The borrower's monthly cash obligations go down (via Breathing Room escrow), not up. Repayment happens at sale, refinance, or maturity.

9.3 Auto-Improvement Dynamics

Consider a BR12 borrower over a 3-year period:

The position improves on two fronts: (1) the property appreciates faster than debt accrues, and (2) the senior mortgage amortizes, creating additional equity. Over 3 years, effective LTV drops from 83.5% to 75.1% despite zero borrower payments.

9.4 Borrow Amount Slider

The borrower is not required to borrow the maximum LTV. The app presents a slider allowing them to choose any amount from $10,000 up to the maximum. Lower borrow amounts produce:

• Lower breakeven HPI (easier to self-sustain)
• Lower LTV (more buffer before liquidation)
• Same fixed fees (setup + origination), making larger borrows more capital-efficient

This is a key UX consideration: borrowers who only need $50K for arrears + 6 months of payments should not be incentivized to borrow $137K just because the LTV allows it.

10. Risk Factors & Limitations

10.1 Model Limitations

1. Single deal originated: Historical loss data does not exist for this specific product. The model relies on analogous data (MBA delinquency rates, FDIC loss severity, Case-Shiller HPI).
2. GBM assumptions: Geometric Brownian Motion may not capture fat-tailed risks, regime changes, or discontinuous price drops (e.g., hurricane damage).
3. Cure rate transferability: MBA cure rates are national averages; Florida-specific rates may differ due to judicial foreclosure timelines and homestead protections.
4. Concentration risk: A single-property or small-pool portfolio has higher variance than the diversified assumptions in this model. The EL figures assume a large, diversified pool.
5. Liquidity risk: Real estate collateral cannot be liquidated instantly like crypto. FL lien-only recovery takes ~24 months; foreclosure takes ~12 months.
6. 3-axis model novelty: The combinatorial product structure has no direct precedent. Cross-axis interaction effects (e.g., whether foreclosure right affects cure rates) are assumed to be zero but may exist.

10.2 Known Risk Factors

• Geographic concentration: Currently FL-only. No portfolio diversification across states, metros, or property types.
• Regulatory risk: Changes to FL homestead protections (Article X, Section 4, FL Constitution), foreclosure procedures, DeFi regulation, or securities classification could impact the model.
• Operational risk: Smart contract bugs in Morpho Blue or eqBLOCK token contracts, oracle failures (ATTOM AVM), or legal challenges to the SEA structure.
• Interest rate risk: Rising rates increase default probability (Scenario 2) and reduce property values, creating a correlated stress.
• Systemic risk: A broad housing market collapse affects all tiers simultaneously, eliminating diversification benefits within the pool.
• Foreclosure right enforceability: If a court challenges the borrower's pre-granted foreclosure consent, the foreclosure path could revert to lien-only timelines and LGD.
• Smart contract risk: Morpho Blue is audited (Trail of Bits, Spearbit) but no smart contract is risk-free. A protocol exploit could affect vault deposits independent of collateral quality.

10.3 Conservative Biases

11. Foreclosure Backtest: Real Data Validation

11.1 Data Sources

We backtested the Breathing Room concept against real loan-level data:

• CFPB HMDA 2022: 505,908 loan denials across FL, CA, TX, NY, IL (loan-level, public)
• NY Fed Consumer Credit Panel: Quarterly foreclosure rates and transition rates by state (2003–2024)
• MBA National Delinquency Survey: Cure rates by delinquency bucket

11.2 HELOC Denial Analysis (HMDA 2022)

Across five states representing ~50% of US mortgages:

11.3 Foreclosure Prevention Estimate

11.4 The HELOC Pressure Finding

The NY Fed data reveals a critical pattern: HELOC 90+ day delinquency rates spiked from 0.65% to 4.71% during 2007–2011 — a 7.2x increase. Meanwhile, 18% of foreclosures involved subordinate liens.

Breathing Room is the opposite of a HELOC: instead of adding payment pressure, it removes it. The escrow covers existing mortgage payments, creating a payment-free window for income recovery. The borrower's monthly obligations go down, not up.

11.5 FL Deep Dive: Crisis vs Normal Market

Even during the 2008 crisis, when most homeowners were underwater, an estimated 5,824 FL foreclosures involved homeowners with >30% equity who could have been served by Breathing Room. In normal markets, the eligible population is dramatically larger because most distressed homeowners still have significant equity.

12. The Economics of Foreclosure: Why Prevention Matters

The preceding sections establish the actuarial loss profile for Morpho vault depositors. This section asks a complementary question: what happens when prevention fails? By quantifying the full economic destruction of a single Florida foreclosure, we demonstrate that the Breathing Room mechanism is not merely a competitive DeFi product — it is an order-of-magnitude more efficient capital allocation than the status quo.

12.1 Florida Judicial Foreclosure Timeline

Florida is a judicial foreclosure state. All foreclosures must proceed through the court system under FL Statutes Chapter 702, creating one of the longest resolution timelines in the nation. The median elapsed time from first missed payment to final property disposition is approximately 28 months (2.33 years).

12.2 The Foreclosure Waterfall: How $130K in Equity Becomes $0

The homeowner receives nothing. The $130,000 in equity that existed at the start of the process is entirely consumed by costs, discounts, and accrued obligations.

12.3 Total Destruction: $262K Homeowner Loss

12.4 Costs to All Parties: $592K Total Economic Destruction

12.5 Breathing Room Comparison: Side-by-Side

Appendix A: Data Sources

Section 12 Sources

• ATTOM Data Solutions, 2025 Year-End Foreclosure Market Report and Foreclosure Auction Buyer Signals Q2 2024
• Urban Institute, Loss Severity on Residential Mortgages (2014)
• Urban Institute, The Impacts of Foreclosures on Families and Communities (2012)
• Philadelphia Federal Reserve, Mortgage Loss Severities, Working Paper 19-19
• Cleveland Federal Reserve, The Impact of Foreclosures on the Housing Market, Economic Commentary 2010-15
• FDIC Loss-Share Program Data
• MBA, Cost of Servicing Performing and Non-Performing Loans (Newslink, 2022)
• CFPB, Foreclosure and Credit Impact (Consumer Resources)
• Fannie Mae, Allowable Foreclosure Fees, Servicing Guide E-5-04
• Florida Statutes, Chapter 702 (Mortgage Foreclosure)

Appendix B: Parameter Sensitivity

The model's key sensitivities, tested by varying one parameter at a time while holding others at baseline:

B.1 Base PD Sensitivity (Standard Tier)

Even at a pessimistic 25% base PD, BR12 + Foreclosure keeps EL at 1.52% — well within depositor tolerance.

B.2 Cure Rate Sensitivity (BR12)

B.3 HPI Decline Sensitivity (LGD Impact)

B.4 Recovery Timeline Sensitivity

This sensitivity underscores why the foreclosure right is so valuable: it fixes the timeline at 12 months regardless of FL court delays, while lien-only recovery is exposed to timeline extension risk.

Appendix C: Methodology Notes

C.1 PD Derivation

Verified tier (2.5%): Based on Fannie Mae/Freddie Mac historical default rates for fully underwritten loans with DTI < 43% and FICO > 680. Represents the 10-year average serious delinquency rate for conforming loans.

Prime tier (4.0%): Based on near-prime mortgage performance data for borrowers with FICO 620–680, adjusted for the absence of hard credit pull (soft pull only). Consistent with FHA loan performance data.

Standard tier base rate (17.0%): MBA National Delinquency Survey, Q4 2023. Represents the 60+ day delinquency transition rate for the HELOC-denied population segment (borrowers with recent payment history issues but sufficient equity). This is a conservative assumption — it applies the delinquent transition rate to all Standard borrowers, even though some may be current.

C.2 Cure Rate Derivation

Cure rates represent the probability of a delinquent borrower resuming payments after N months of escrow support:

• 3-month (35%): MBA data shows 35% of 60-day delinquencies cure within 90 days.
• 6-month (50%): MBA data shows 50% cure within 180 days.
• 12-month (70%): MBA data shows 70% cure within 365 days. This is consistent with the finding that most delinquencies are driven by temporary income shocks (job loss: median duration 5.6 months per BLS; medical event; divorce proceedings).

C.3 LGD Recovery Model

The recovery model uses a deterministic waterfall. In default:

1. Property is valued at current AVM (no HPI decline in base case).
2. REO discount is applied (20% lien, 15% FC) based on FDIC Loss-Share data and ATTOM auction analysis.
3. Senior lien balance is paid first.
4. Carrying costs are deducted (4% annual × timeline).
5. Foreclosure process costs (0.5%) are deducted for FC path only.
6. Remainder flows to the junior lien holder (Morpho vault depositors).

C.4 Monte Carlo Model

The GBM simulation uses:

10,000 paths are simulated over 60 months. For each path, at each time step, PD and LGD are recalculated based on the simulated HPI level. Portfolio losses are aggregated and the empirical loss distribution is used to compute VaR and CVaR at the 95th percentile.

C.5 Stress Test Methodology

Stress tests apply deterministic shocks rather than stochastic simulation:

• HPI shock: Applied as a one-time decline to property values, increasing LGD through the recovery waterfall.
• PD multiplier: Applied to the base PD for each tier (e.g., 2.5x in 2008 replay means Verified PD goes from 2.5% to 6.25%).
• Strategic default: Added as an unconditional default probability independent of cure rate (10% of borrowers walk away regardless of escrow).