The Fixed Income Quantitative Trading & Research (QTR) team's mission is to develop and maintain the sophisticated mathematical models, cutting-edge methodologies and infrastructure used to value and hedge fixed income transactions — from vanilla flow products to complex exotic derivatives — as well as to improve the performance of algorithmic trading strategies and deliver advanced electronic solutions to our clients worldwide. This work spans the full quantitative stack: arbitrage-free pricing, term-structure and yield-curve analytics, and the analytical computation of risk and sensitivities that the desk relies on to hedge. If you are passionate about applied mathematics, curious, and ready to make an impact, we are looking for you.

Job summary

As a Quantitative Researcher / Developer, Associate, in the Fixed Income QTR team, you will provide advanced modelling solutions to the Fixed Income business. Your work will combine deep mathematical rigour — stochastic calculus, PDEs, numerical methods and the theory of the term structure — with solid software engineering to deliver best-in-class pricing, risk and hedging models to the trading desk.

QTR is an expert quantitative modelling group at J.P. Morgan and a leader in financial engineering, data analytics, statistical modelling and portfolio management. As a global team, QTR partners with traders, marketers and risk managers across all products and regions, contributing to product innovation, valuation and risk management, electronic trading and market making, and robust financial risk controls.

Job responsibilities

• Develop advanced analytical, pricing and risk-management models for fixed income products, grounded in rigorous mathematics — stochastic processes, martingale pricing, PDE and Monte Carlo methods, and numerical optimisation

• Develop analytical risk and sensitivity techniques — closed-form and adjoint/algorithmic-differentiation Greeks, risk decomposition and attribution, and efficient hedge construction across curves and volatility surfaces

• Design and maintain term-structure and multi-curve frameworks: yield-curve construction, dual-curve and CSA/OIS discounting, basis modelling, and consistent interpolation and calibration methodologies

• Implement these models in our quant library and trading/risk platforms, carrying out rigorous numerical testing, validation and documentation

• Deliver these models to production

• Work closely with traders and the wider quant team to solve problems, analyse curve, risk and volatility behaviour, and identify opportunities

Required qualifications, capabilities, and skills

• Advanced degree (MSc or PhD) in mathematics, physics, engineering, statistics or a closely related quantitative discipline, with demonstrable strength in advanced mathematics

• Strong command of stochastic calculus, probability theory, numerical analysis and PDE / Monte Carlo techniques as applied to derivatives pricing and risk

• Solid understanding of fixed income analytics and risk — term-structure and yield-curve construction, multi-curve and CSA discounting, sensitivities and hedging, and the underlying mathematics

• Outstanding analytical and problem-solving abilities

• Strong written and oral communication skills, including the ability to explain mathematical concepts clearly

• Strong coding and software engineering skills with a passion for technical excellence

• Professional C++ development experience

Preferred qualifications, capabilities, and skills

• Deep understanding of derivatives pricing theory and standard fixed income models (short-rate, HJM, LMM and beyond)

• Experience with analytical/adjoint differentiation (AAD) or other efficient risk-computation techniques

• Additional experience with Python or Rust

• Prior experience in a front-office derivatives trading environment

• Experience with SecDB / Beacon (or a similar quant platform)