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DESK 11 // STRUCTURED CREDIT & RELATIVE VALUE • 4 ACTIVE MODELS

Structured Credit, Securitization & Fixed Income Relative Value Desk

Deterministic yield curve curvature arbitrage, Agency residential mortgage negative convexity underwriting, syndicated corporate loan CLO subordination waterfalls, and TIPS inflation-indexed real rate workbenches. Engineered for rates relative value hedge funds, primary dealers, structured credit allocators, and bank ALM treasurers.

Curvature & RV

Treasury Butterfly Spread & Curve Twist Underwriter

Model sovereign yield curve curvature across 2s/5s/10s and 5s/10s/30s structures. Solve DV01 duration-neutral barbell versus bullet allocations, isolate 3-month roll-down drift from repo financing carry, and stress-test non-parallel curve twist scenarios.

• Closed-Form Curvature (bps): -Y_short + (2 × Y_belly) - Y_long
• Institutional DV01 Duration-Neutral Barbell Weighting Solver
• 3-Month Carry & Roll-Down Yield Decomposition vs. Repo (SOFR)
• Interactive SVG Yield Curve & Butterfly Curvature Geometry
• 2D Sensitivity Matrix: Parallel Rate Shift vs. Curvature Twist
Launch Butterfly Underwriter →
Mortgage Prepayments

Agency MBS Prepayment & Negative Convexity Underwriter

Underwrite Fannie Mae and Freddie Mac residential mortgage pools. Model PSA prepayment speeds, convert CPR to Single Monthly Mortality (SMM), quantify negative convexity duration extension across interest rate cycles, and isolate true Option-Adjusted Spread (OAS).

• PSA Benchmark Prepayment Model (100% PSA Baseline & Seasoning)
• CPR to Single Monthly Mortality (SMM) Cash Flow Conversion
• Negative Convexity Duration Extension Under ±100 bps Shifts
• Interactive SVG S-Curve Refinance Response Function
• 2D Sensitivity Matrix: Benchmark Mortgage Rate vs. PSA Speed
Launch MBS Underwriter →
Structured Credit

CLO Tranche Waterfall & Loss Absorption Simulator

Model a standard $500M institutional Collateralized Loan Obligation (CLO 2.0/3.0) capital structure. Evaluate priority of payments waterfalls, Overcollateralization (OC) test diversion triggers, subordination cushions, and tranche loss attachment under stress default rates.

• Multi-Tranche Debt Stack: Class A (AAA) to Subordinated Equity
• Senior Class A/B Overcollateralization (121.5% OC) Auto-Remediation
• Cumulative Default Rate (CDR) & Recovery Rate Loss Absorption
• Interactive SVG Capital Structure Tranche Stack Visualizer
• 2D Stress Matrix: Annual Loan Default Rate vs. Recovery Rate
Launch CLO Simulator →
Inflation & Real Rates

TIPS Breakeven Inflation & Real Rate RV Workbench

Deconstruct sovereign nominal Treasury yields into real yields and market-implied Breakeven Inflation (BEI). Calculate 5-Year, 5-Year Forward Breakeven Inflation (5y5y), model CPI-U principal index ratios with statutory deflation floors, and underwrite TIPS carry advantage.

• Nominal vs. Real TIPS Yield Decomposition & Exact Fisher Equation
• 5-Year, 5-Year Forward Breakeven Inflation (5y5y) Expectation Solver
• CPI-U Principal Index Ratio Multiplier & Deflation Floor Safeguards
• Interactive SVG Real vs. Nominal Curves & Shaded Breakeven Wedge
• 2D Sensitivity Matrix: Nominal Treasury Yield vs. Real TIPS Yield
Launch TIPS Workbench →

Structured Credit, Securitization & Fixed Income Relative Value Desk Quantitative Architecture & Methodology

The Structured Credit & Relative Value Desk decomposes fixed income risk beyond simple parallel yield shifts. These models isolate non-linear yield curve curvature (butterflies), endogenous borrower prepayment options and negative convexity (Agency MBS), multi-tranche credit subordination and coverage test diversions (CLOs), and market-implied forward inflation expectations (TIPS).

Core Mathematical Formulations

Treasury Butterfly Curvature (bps) Mathematical Proof
$$\text{Fly Spread} = -Y_{\text{short}} + 2 \times Y_{\text{belly}} - Y_{\text{long}}$$

Standard institutional rates relative value metric quantifying whether the intermediate curve belly is cheap (humped) or rich (dip) relative to wing tangents.

Duration-Neutral Barbell Weighting Mathematical Proof
$$w_s \cdot \text{DV01}_s + w_l \cdot \text{DV01}_l = w_b \cdot \text{DV01}_b$$

Solves exact wing notional allocations to ensure parallel curve shifts and slope rotations generate zero net dollar duration risk.

MBS Single Monthly Mortality (SMM) Mathematical Proof
$$\text{SMM} = 1 - (1 - \text{CPR})^{1/12}$$

Converts annualized Conditional Prepayment Rates (CPR) into monthly principal prepayments, modeling the S-curve refinance response function.

CLO Overcollateralization (OC) Ratio Mathematical Proof
$$\text{OC Ratio} = \frac{\text{Performing Loan Par} + \text{Cash} + \text{Default Recovery}}{\text{Senior Debt Par}}$$

Key structural covenant governing cash flow priority; breaches immediately redirect interest cash flows from equity to amortize senior AAA notes at par.

Target Institutional Audience & Applications

Rates RV & Macro Hedge Funds

Construct duration-neutral 2s/5s/10s and 5s/10s/30s curvature trades, isolate 3-month roll-down carry, and hedge curve twist dislocations.

Mortgage & Structured Product Desks

Model negative convexity duration extension under mortgage rate spikes, evaluate CPR burnout, and extract true Option-Adjusted Spreads (OAS).

Private Credit & CLO Debt Allocators

Assess subordination cushions, test junior mezzanine loss attachment thresholds, and model residual equity cash distribution yields.

Bank Treasury ALM & Pension Trustees

Manage liability-driven asset allocation, evaluate deflation floors on TIPS portfolios, and stress-test loan portfolio default absorption.

Cross-Asset Concept Guides & Recommended Reading