Rates Quant
Builds the curves a rates desk prices from, produces risk by maturity and defends the marks.
The job
A rates quant works with a bank’s swaps and government bond desks, or a rates fund. They build the curves the desk prices from, produce risk by maturity (DV01 by pillar and key-rate risk), set and defend end-of-day marks, explain the daily P&L, and build pricing tools such as an automated quoter. Things go wrong when a curve has kinks or stale inputs, when a hedge is neutral only to parallel moves, and when a mark cannot be defended against traded prices.
- Supports
- Swaps and government bond desks
- Stages
- 5 to learn, then proof of work
- Two routes
- Free resources, or SelfMadeQuant programmes and projects
The roadmap
The same stages either way. The free route uses university courses, lectures, books and papers that are free online. The SelfMadeQuant route maps each stage to our programmes and ends in projects on real market data.
Stage 01 · Foundations
Maths and markets foundations
Calculus, probability and what bonds and swaps actually are.
- Calculus and probability
- Time value of money
- Bonds, futures and swaps
- 18.01SC Single Variable Calculus (opens in a new tab)
MIT OpenCourseWare
Derivatives, Taylor series and integrals, which underpin duration, convexity and discounting.
- MIT 15.401 Finance Theory I (opens in a new tab)
Andrew Lo / MIT OpenCourseWare
Present value, fixed-income basics and the term structure from first principles.
- Forwards, Swaps, Futures and Options (opens in a new tab)
Martin Haugh / Columbia IEOR E4706
How an interest rate swap is built from bonds and priced off the curve.
Stage 02 · Core
Bonds, duration and the yield curve
Pricing bonds and swaps off a curve, and measuring risk by maturity.
- Bond pricing
- DV01 and key-rate risk
- Convexity
- Bootstrapping and interpolation
- Deterministic Cash-Flows (Columbia IEOR E4706) (opens in a new tab)
Martin Haugh
Bond pricing, yields, duration, convexity and the term structure in compact notes.
- Zero-coupon yield curves: technical documentation (BIS Papers No 25) (opens in a new tab)
Bank for International Settlements
How each central bank fits its zero curve: Nelson-Siegel, Svensson and spline methods.
- The U.S. Treasury Yield Curve: 1961 to the Present (opens in a new tab)
Gürkaynak, Sack and Wright / Federal Reserve Board
A worked fit of the Treasury curve, including forwards and the published dataset behind it.
- Fixed Income Securities: Tools for Today's Markets (opens in a new tab)
Bruce Tuckman
The desk reference for DV01, convexity and curve construction.
Stage 03 · Core
Curve factors and numerical methods
Level, slope and curvature, and fitting a curve that someone else can rerun.
- PCA of yield changes
- Root finding
- Least-squares calibration
- Dimension Reduction Techniques (opens in a new tab)
Martin Haugh / Columbia IEOR E4602
PCA applied to yield curve moves, giving the level, slope and curvature factors.
- Introduction to Applied Linear Algebra: Vectors, Matrices, and Least Squares (opens in a new tab)
Stephen Boyd and Lieven Vandenberghe
Least squares and its nonlinear form, the core of fitting a curve to market quotes.
- Optimization and root finding (scipy.optimize) (opens in a new tab)
SciPy
The root finders and least-squares solvers you will call when bootstrapping and calibrating.
Stage 04 · Specialist
Interest-rate models
Models of how the whole curve moves, for pricing options on rates.
- Vasicek and CIR
- Hull–White
- HJM
- Market models
- Term Structure Lattice Models (opens in a new tab)
Martin Haugh / Columbia IEOR E4706
Short-rate lattices, Ho-Lee and Black-Derman-Toy, calibrated to a curve and used to price caps and swaptions.
- Financial Engineering Course: Interest Rates and xVA (opens in a new tab)
Lech Grzelak
Lectures with code on HJM, Hull-White and market models, from a practitioner's angle.
- Interest Rate Modeling (opens in a new tab)
Leif Andersen and Vladimir Piterbarg
The standard reference for Hull-White, HJM and LIBOR market model implementation.
Stage 05 · Specialist
Marks, liquidity and P&L explain
What a print tells you about a mark, and defending it in writing.
- Liquidity and bid–offer
- P&L attribution
- Tested, reproducible code
- Measuring Treasury Market Liquidity (opens in a new tab)
Michael Fleming / Federal Reserve Bank of New York
Which liquidity measures, such as bid-ask spread and price impact, actually work in Treasuries.
- Minimum capital requirements for market risk (opens in a new tab)
Basel Committee on Banking Supervision
The P&L attribution test sets out how regulators compare risk-model P&L with desk P&L.
- pytest documentation (opens in a new tab)
pytest
Write regression tests so a curve or pricer change cannot silently move your marks.
- Good enough practices in scientific computing (opens in a new tab)
Wilson et al. / PLOS Computational Biology
Simple habits for data, code and versioning that make results reproducible.
Stage 06 · Proof of work
Bootstrap the Treasury curve and test its three factors
Build a daily zero curve from Treasury par yields, compute DV01s for a few bonds, and run PCA on daily curve changes. Answer whether level, slope and curvature explain the same share of risk across rate regimes, and how stable the loadings are.
Stage 01 · Foundations
Maths and markets foundations
Calculus, probability and what bonds and swaps actually are.
- Calculus and probability
- Time value of money
- Bonds, futures and swaps
- Mathematics Primer
- Calculus
- Probability and Statistics
- Finance Primer
- Value and Cash Instruments
- Financial Instruments, Markets and Conventions
- Fixed Income: Bonds, Yields, and Interest Rate Risk
- Forwards, Futures, Swaps, and Contracts for Difference
Stage 02 · Core
Bonds, duration and the yield curve
Pricing bonds and swaps off a curve, and measuring risk by maturity.
- Bond pricing
- DV01 and key-rate risk
- Convexity
- Bootstrapping and interpolation
- Fixed Income and Interest-Rate Models
- Bond Mathematics and Pricing Fundamentals
- Duration, Convexity, and Rate Sensitivity
- The Term Structure of Interest Rates
- Swaps, Futures, and Linear Rate Derivatives
Stage 03 · Core
Curve factors and numerical methods
Level, slope and curvature, and fitting a curve that someone else can rerun.
- PCA of yield changes
- Root finding
- Least-squares calibration
- Linear Algebra, Optimisation and Numerical Methods
- Low-Rank Approximation, PCA, and Applications
- QR Factorisation and Least Squares
- Numerical methods and calibration
Stage 04 · Specialist
Interest-rate models
Models of how the whole curve moves, for pricing options on rates.
- Vasicek and CIR
- Hull–White
- HJM
- Market models
- Fixed Income and Interest-Rate Models
- No-Arbitrage Pricing and the Risk-Neutral Framework
- Short-Rate Models
- Multi-Factor Term Structure Models
- The Heath-Jarrow-Morton Framework
- The LIBOR Market Model
Stage 05 · Specialist
Marks, liquidity and P&L explain
What a print tells you about a mark, and defending it in writing.
- Liquidity and bid–offer
- P&L attribution
- Tested, reproducible code
- Market Microstructure and Execution
- Liquidity, Spread and Impact
- Python for Quantitative Finance
- Testing, Debugging, and Style
- Professional Quant Practice
- Governance and validation
Stage 06 · Proof of work
Build the projects
Each project is built on real market data and reports what the data said, including when the idea failed.
- Q3Bond Price and Duration ExplorerA DV01-matched 2-year hedge removes only 58% of a 10-year position’s daily P&L variance on real 2026 curve moves; the rest is slope risk.
- TRTreasury curve risk and hedge validationFor a USD 1.1bn bond book, a key-rate hedge cut daily residual P&L volatility to USD 876k, against USD 1,003k for a parallel duration hedge.
- SWSwap Curves, Evaluated Pricing and Automated QuotingA SOFR curve built from 1.94m public swap trades repriced the next half hour of prints to 0.35 bp in liquid tenors.
Practise the interview
Questions this role gets asked, each with a hint and a worked solution.
Start the SelfMadeQuant route free: a free account opens one complete topic from each primer and the interview question bank. No card needed.
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