Fixed Income & Rates Desk
Deterministic quantitative models for sovereign debt, term premium extraction, bond duration, convexity shocks, real yield inflation hurdles, Treasury bill liquidity ladders, and multi-tenor key rate curve twists. Engineered with verified Tier-1 feeds from the U.S. Treasury, FRED, and NY Fed.
Tax-Equivalent Yield (TEY) & Cash Comparator
Calculate exact after-tax take-home returns and state tax shields (31 U.S.C. § 3124) for Treasuries, SGOV, CDs, and municipal instruments across all 50 states.
• Federal Marginal Brackets (10% to 37%) + 3.8% NIIT
• Live Treasury vs. Commercial Bank CD Matrix
• Custom Fixed Income Offering Deal Sandbox
Bond Duration, Modified Duration & Convexity Simulator
Quantifies bond price volatility, Macaulay duration, and non-linear Taylor series convexity adjustments under parallel yield curve shocks (-300 to +300 bps).
• Second-Order Convexity Cushion (CX) Calculation
• Yield Curve Shock Matrix (-200 bps to +200 bps)
• Exact Discounted Cash Flow (DCF) Revaluation Engine
Real Yield & Breakeven Inflation Compass
Evaluates Treasury Inflation-Protected Securities (TIPS) versus nominal Treasuries using live breakeven inflation rates, Fisher equation hurdles, and purchasing power models.
• 5-Year & 10-Year Constant Maturity Benchmark Feeds
• Interactive Projected CPI Inflation Sensitivity Slider
• Wealth Preservation & Purchasing Power Matrix
Treasury Bill Ladder Builder & Cash Roll Simulator
Construct deterministic liquidity ladders across 4-week, 13-week, 26-week, and 52-week U.S. Treasury bills. Calculates exact discount prices, bond-equivalent yields (BEY), state tax shields (31 U.S.C. § 3124), and rolling auction schedules.
• Deterministic Discount Pricing & BEY / TEY Engine
• 50-State SALT Exemption Shield Calculations
• Forward Reinvestment Rate Shock Scenario Matrix (-150 to +150 bps)
• Weekly / Monthly Liquidity Rollover Waterfall Schedule
Institutional Fixed Income: Key Rate Duration & Curve Twist Matrix
Deconstruct portfolio interest rate risk across discrete yield curve tenors (2Y, 5Y, 10Y, 30Y). Stress-test non-parallel shifts including Bear/Bull Steepeners, Flatteners, and Butterfly Twists with second-order Taylor series convexity.
• Non-Parallel Curve Scenarios: Bear/Bull Steepeners, Flatteners & Twists
• Second-Order Convexity Adjustment with Taylor Series Proof
• Interactive Barbell vs. Bullet Immunization Portfolio Sandbox
• Dynamic SVG Yield Curve Shift & Key Rate Exposure Histogram
Fixed Income & Rates Desk Quantitative Architecture & Methodology
The Fixed Income & Rates Desk models interest rate sensitivity, yield curve shape variations, and after-tax cash flows using deterministic financial mathematics. Rather than relying on linear approximations, these models incorporate second-order Taylor series expansions and institutional tax law provisions.
Core Mathematical Formulations
Measures the effective weighted-average maturity of cash flows and the first-order percentage price sensitivity of fixed income instruments to parallel yield shifts.
Captures the non-linear curvature of the price-yield relationship, proving why bondholders gain more as yields fall than they lose when yields rise by the same magnitude.
Extracts market-implied inflation expectations by measuring the exact spread between nominal constant maturity Treasuries and Treasury Inflation-Protected Securities.
Calculates the exact taxable yield required from corporate bonds or commercial bank CDs to match the net after-tax take-home return of state-tax-exempt Treasuries across all 50 states.
Target Institutional Audience & Applications
Corporate treasurers and CFOs managing operating liquidity, maximizing after-tax yields, and constructing non-speculative Treasury bill rollover ladders.
Asset managers immunizing liability streams, decomposing multi-tenor key rate duration risks, and evaluating real yield hurdles against inflation.
Private wealth advisors and institutional clients structuring tax-efficient municipal vs. Treasury asset allocations across high-tax states (CA, NY, NJ).
Cross-Asset Concept Guides & Recommended Reading
Complete mathematical derivation of duration, dollar duration (DV01), and second-order convexity.
How TIPS, nominal Treasuries, and inflation-adjusted real yields dictate asset valuation.
Institutional guide to 2Y/10Y inversion signals, bull steepeners, and bear flatteners.
Why 30-year swap spreads turn negative and how primary dealer balance sheet capacity drives basis spreads.