Volatility Quant
Builds the implied volatility surface, forecasts realised volatility and tests whether selling or buying volatility pays.
The job
A volatility quant supports an options desk or a volatility fund. They build the implied volatility surface, forecast realised volatility, design delta-hedging rules, attribute the book’s P&L to its Greeks, and run the backtests that say whether selling or buying volatility pays. The desk’s P&L is roughly implied minus realised volatility, less hedging and trading costs. Things go wrong with jumps the hedge cannot follow, surfaces with hidden arbitrage, and backtests that count fills which could never have happened.
- Supports
- Options desks and volatility funds
- Stages
- 6 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
Probability and statistics
Distributions, estimation and telling noise from an effect.
- Distributions and moments
- Maximum likelihood
- Confidence intervals
- Hypothesis tests
- Statistics 110: Probability (opens in a new tab)
Joe Blitzstein / Harvard University
Distributions, expectation and conditioning, taught through problems.
- 18.05 Introduction to Probability and Statistics (opens in a new tab)
Jeremy Orloff and Jennifer French Kamrin / MIT OpenCourseWare
Estimation, confidence intervals and hypothesis tests with worked problem sets.
- OpenIntro Statistics (opens in a new tab)
Diez, Çetinkaya-Rundel and Barr / OpenIntro
A plain introduction to inference and hypothesis testing for applied work.
Stage 02 · Foundations
Options and no-arbitrage
What an option pays, what it must be worth, and what its Greeks measure.
- Payoffs and put–call parity
- Binomial model
- Black–Scholes
- Greeks
- Martingale Pricing Theory in Discrete-Time and Discrete-Space Models (opens in a new tab)
Martin Haugh / Columbia IEOR E4706
No-arbitrage and risk-neutral pricing in the binomial model, step by step.
- The Black-Scholes Model (opens in a new tab)
Martin Haugh / Columbia IEOR E4706
Derives Black-Scholes by replication and works through the Greeks.
- Options, Futures, and Other Derivatives (opens in a new tab)
John C. Hull
The standard reference for payoffs, put-call parity, trees and Greeks.
Stage 03 · Core
Computational pricing
Pricing what has no formula, and knowing how accurate the answer is.
- Monte Carlo
- Variance reduction
- Finite differences
- Simulation Efficiency and an Introduction to Variance Reduction Methods (opens in a new tab)
Martin Haugh / Columbia IEOR E4703
Antithetic variates, control variates and how to measure the gain on an option price.
- Computational Finance Course (opens in a new tab)
Lech Grzelak
Lectures with Python code on simulating and pricing under stochastic models.
- Monte Carlo Methods in Financial Engineering (opens in a new tab)
Paul Glasserman
The reference for simulation schemes, variance reduction and Greeks by simulation.
Stage 04 · Core
Realised volatility and forecasting
Measuring volatility from data and forecasting it out of sample.
- Realised variance
- GARCH
- HAR model
- GARCH 101: The Use of ARCH/GARCH Models in Applied Econometrics (opens in a new tab)
Robert Engle / Journal of Economic Perspectives
A short, readable account of GARCH from the person who invented ARCH.
- Modeling and Forecasting Realized Volatility (opens in a new tab)
Andersen, Bollerslev, Diebold and Labys / NBER
Why realised variance from intraday returns beats daily models for volatility forecasting.
- Volatility Forecasting (opens in a new tab)
Andersen, Bollerslev, Christoffersen and Diebold
A survey that sets GARCH, realised measures and forecast evaluation side by side.
Stage 05 · Specialist
The smile and stochastic volatility
Fitting a surface without arbitrage and the models that explain its shape.
- Implied vol surface
- SVI
- Heston
- Variance swaps
- Local Volatility, Stochastic Volatility and Jump-Diffusion Models (opens in a new tab)
Martin Haugh / Columbia IEOR E4707
How Dupire local volatility and Heston each try to reproduce the smile.
- Arbitrage-free SVI volatility surfaces (opens in a new tab)
Jim Gatheral and Antoine Jacquier / arXiv
The SVI parameterisation and the conditions that keep a fitted surface free of arbitrage.
- Cboe Volatility Index (VIX) Methodology (opens in a new tab)
Cboe Global Indices
How a strip of out-of-the-money options replicates variance, the basis of variance swaps.
- The Volatility Surface: A Practitioner's Guide (opens in a new tab)
Jim Gatheral
The practitioner text on the smile, Heston and variance swaps.
Stage 06 · Specialist
Hedging and trading costs
Delta hedging in discrete time, and whether the size is there to trade.
- Discrete delta hedging
- Hedging error
- Transaction costs
- Black-Scholes and the Volatility Surface (opens in a new tab)
Martin Haugh / Columbia IEOR E4707
Shows delta-hedging P&L depends on gamma and the gap between realised and implied variance.
- Exact Formulas for Expected Hedging Error and Transactions Costs in Option Replication (opens in a new tab)
Klaus Bjerre Toft
Quantifies the trade-off between hedging frequency, hedging error and transaction costs.
- Deep Hedging (opens in a new tab)
Buehler, Gonon, Teichmann and Wood / arXiv
Learns hedges under transaction costs, showing where Black-Scholes delta stops being optimal.
Stage 07 · Proof of work
Build a crypto option smile and test the variance risk premium
Pull daily BTC option chains from the Deribit public API, fit SVI to each expiry and check the fitted surface for calendar and butterfly arbitrage. Then compare 30-day implied variance with the realised variance that followed to measure the variance risk premium, and contrast it with the VIX.
Stage 01 · Foundations
Probability and statistics
Distributions, estimation and telling noise from an effect.
- Distributions and moments
- Maximum likelihood
- Confidence intervals
- Hypothesis tests
- Probability, Statistics and Financial Data
- Continuous Random Variables
- Point Estimation: MOM, MLE, and Optimality Theory
- Confidence Intervals and Interval Estimation
Stage 02 · Foundations
Options and no-arbitrage
What an option pays, what it must be worth, and what its Greeks measure.
- Payoffs and put–call parity
- Binomial model
- Black–Scholes
- Greeks
- Financial Instruments, Markets and Conventions
- A First Look at Options: Payoffs, Bounds, and the Binomial Model
- Derivatives Pricing and Computational Finance
- Foundations of Computational Option Pricing
Stage 03 · Core
Computational pricing
Pricing what has no formula, and knowing how accurate the answer is.
- Monte Carlo
- Variance reduction
- Finite differences
- Derivatives Pricing and Computational Finance
- Monte Carlo Methods and Stochastic Volatility
- Binomial Trees, Barrier and American Options
Stage 04 · Core
Realised volatility and forecasting
Measuring volatility from data and forecasting it out of sample.
- Realised variance
- GARCH
- HAR model
- Econometrics and Financial Time Series
- Volatility Estimation Theory
- Quantitative Risk Management
- Empirical Properties of Financial Data and GARCH Volatility Models
Stage 05 · Specialist
The smile and stochastic volatility
Fitting a surface without arbitrage and the models that explain its shape.
- Implied vol surface
- SVI
- Heston
- Variance swaps
- Advanced Derivatives and Exotic Options
- The Volatility Smile and the Implied Vol Surface
- The Heston Model
- Variance Swaps and Volatility Derivatives
Stage 06 · Specialist
Hedging and trading costs
Delta hedging in discrete time, and whether the size is there to trade.
- Discrete delta hedging
- Hedging error
- Transaction costs
- Convertible Arbitrage
- Delta Hedging and the Classic Trade
- Market Microstructure and Execution
- Liquidity, Spread and Impact
Stage 07 · 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.
- Q2Volatility Smile and Surface ExplorerOn real BTC quotes, 51 apparent mid-price arbitrage violations turned out to be none executable at bid and ask.
- VTSystematic Volatility Trading and Delta-Hedged Options BookSSVI surfaces from 4.13m Deribit trades, HAR forecasts and band hedging, scored once on 2023 to 2026: the volatility premium was +5.4 vol points.
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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