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, multi-tenor key rate curve twists, and monetary reaction functions. 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
Central Bank Policy Path & Taylor Rule Terminal
Institutional monetary policy workbench. Models Classical Taylor (1993), Balanced-Approach (1999), and Clarida-Galí-Gertler inertial reaction functions. Extracts 8-meeting FOMC probabilities from 30-day Fed Funds futures, compares G10 policy stance gaps, and stress-tests macroeconomic shocks.
• FOMC 8-Meeting Probability Matrix Decomposed from 30-Day Fed Funds Futures ($ZQ$)
• G10 Central Bank Policy Stance Matrix: Actual vs. Taylor-Implied Optimal Policy Rates
• Real-Time Policy Stance Gauge & 8-Quarter Forward Policy Path Trajectory (SVG)
• Okun's Law Unemployment Gap Solver & 4 Instantaneous Macroeconomic Shock Scenarios
Fixed Income & Rates Desk Quantitative Architecture & Methodology
The Fixed Income & Rates Desk models interest rate sensitivity, yield curve shape variations, after-tax cash flows, and central bank reaction functions using deterministic financial mathematics. Rather than relying on linear approximations, these models incorporate second-order Taylor series expansions, institutional tax law provisions, and OIS pricing calculus.
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.
The Dual Mandate benchmark reaction function specifying the exact nominal policy interest rate target given core inflation gaps and the macroeconomic output gap.
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
Theoretical foundations, policy inertia, r* estimation, and FOMC OIS market pricing mechanics.
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.