Morgan Stanley

Applied Mathematician — Electronic Trading & Quantitative Finance

Morgan Stanley$150K — $250K *
Finance & Insurance
Less than 5 years of experience
Job Overview by Ladders

Qualifications

  • Ph.D. in Applied Mathematics, Statistics, Operations Research, or Theoretical Physics.
  • Strong mathematical maturity and ability to reason from first principles.
  • Advanced Data Analysis skills.
  • Proficient programming skills to implement models or prototypes.
  • Excellent communication skills for conveying complex ideas to diverse audiences.
  • Solid understanding of probability, statistics, stochastic calculus, optimization, or stochastic control.
  • Desire for independent work.

Responsibilities

  • Formulate and develop mathematical models for financial trading problems.
  • Conduct statistical analyses to challenge existing assumptions.
  • Write and run simulations to derive insights for trading strategies.
  • Optimize market-making portfolios through stochastic control techniques.
  • Build robust derivative pricing models for realistic trading conditions.
  • Manage risk and liquidity while optimizing bond inventories.
  • Hedge significant transactions using complex derivatives.

Benefits

  • Work within a specialized, hands-on team environment.
  • Engage in high-impact market problem-solving with real-world applications.
  • Access to ongoing learning opportunities in statistics and financial modeling.
  • Collaborate with a diverse team, enhancing communication skills across disciplines.
  • Potential for growth into Vice President roles within a distinguished firm.
Full Job Description

We are a small, team of researchers and developers.  We build algorithms for trading stocks, bonds, and derivatives at Morgan Stanley.  Our work sits at the intersection of stochastic control, statistics, financial derivatives and numerical methods.

We are looking for a Statistician or Control Theorist who wants to work on market problems where the mathematics really matters.

The problems we study include:

  • Hedging multi-billion-dollar transactions using derivatives and dynamic risk-transfer strategies.

  • Optimizing large bond inventories to serve thousands of clients while managing risk, liquidity, and capital.

  • Using stochastic optimal control to combine instruments with different temporal dynamics into unified market making portfolio

  • Building models to price hundreds of thousands of instruments from sparse and noisy market observations.

  • Developing derivative pricing and hedging models that are robust enough for real trading environments.

This is not a role where mathematics is decorative. We expect you to formulate models, challenge assumptions, do challenging statistical analysis of data, write simulations, to turn insights into profitable trading policies and risk management tools.

The ideal candidate is comfortable moving between theory, computation, and empirical evidence. You might come from applied mathematics, statistics, operations research, probability, theoretical physics, stochastic control, or a related field. You do not need to know every corner of finance, but you should be excited by markets as a source of difficult and beautiful mathematical problems.

To understand the flavor of the work, consider papers such as:

  • “High-Frequency Covariance Estimates with Noisy and Asynchronous Financial Data” — Aït-Sahalia, Fan & Xiu

  • “Algorithmic Market Making in Dealer Markets with Hedging and Market Impact” — Barzykin, Bergault & Guéant

If one of these papers makes sense to you, we would like to hear from you.
If both make sense to you, please apply immediately.

Requirements

  • Ph.D. in Applied Mathematics, Statistics, Operations Research, Theoretical Physics

  • Strong mathematical maturity and ability to reason from first principles.

  • Advanced Data Analysis skills

  • Ability to program well enough to turn ideas into working models or prototypes.

  • Clear communication skills: you should be able to explain complex ideas to both technical and non-technical colleagues.

  • Working knowledge of probability, statistics, stochastic calculus, optimization, or stochastic control.

  • Desire to work independently

  • A good sense of humor.

Nice to Have

  • Knowledge of derivatives mathematics such as option pricing and credit default swaps.

  • Experience with noisy data, sparse estimation, dimensionality reduction and numerical optimization

Expected base pay rates for the role will be between$150,000 - $200,000per year for Associate and between $225,000 - $250,000 for Vice President at the commencement of employment. However, base pay if hired will be determined on an individualized basis and is only part of the total compensation package, which, depending on the position, may also include commission earnings, incentive compensation, discretionary bonuses, other short and long-term incentive packages, and other Morgan Stanley sponsored benefit programs.

About Morgan Stanley

Morgan Stanley Investment Management are active managers of capital, working to outperform the market and deliver results for their clients. Morgan Stanley Investment Management's long-tenured professionals apply their experience and expertise across public and private markets, in single-sector, multi-asset and custom solutions.

Morgan Stanley Careers

Joining Morgan Stanley today means becoming part of a global team dedicated to strengthening communities, pioneering innovation, and fostering diversity. As a leading global financial services firm, Morgan Stanley offers unparalleled job opportunities, career growth, and a culture of leadership that together create an exceptional employment experience. Work You’ll Do At Morgan Stanley, you will collaborate with knowledgeable professionals to drive innovation and deliver solutions in financial services. Our team is composed of diverse, talented individuals who bring their unique skills and perspectives to work every day, setting the standard for leadership in the global market. Morgan Stanley is not just a company; it's a place where ambitious, creative, and skilled individuals can build a rewarding career. Here, you can experience the benefits of a vibrant culture dedicated to professional growth and diversity training. Internship Programs Kickstart your career with Morgan Stanley’s internship programs. These positions offer invaluable industry insights and professional experience to students and recent graduates. Interns at Morgan Stanley gain hands-on experience, working alongside seasoned experts in a dynamic, supportive environment. Innovation and Professional Growth We believe in the power of innovation to solve complex problems and encourage our team to think differently and act boldly. Morgan Stanley supports your career development through comprehensive training, development programs, and leadership workshops, ensuring that every employee has the tools they need to succeed. Join Our Team Explore the various job opportunities at Morgan Stanley, from entry-level positions to executive roles. We are hiring individuals who are passionate about finance and eager to contribute to a team that values integrity, excellence, and a forward-thinking mindset. Enhance your skills through our networking events, mentorship opportunities, and ongoing professional development. Stay Connected Keep up to date with the latest from Morgan Stanley Careers by subscribing to our job alert emails. Tailor your preferences to receive updates about new postings, career tips, and exclusive insights from our team leaders. Apply Now Ready to take the next step in your career? Search open positions that match your skills and interests on the Morgan Stanley Jobs portal. Prepare your resume, refine your interview techniques, and join a company that values innovation and leadership. At Morgan Stanley, we’re not just building careers—we’re developing leaders. Discover how far your talents can take you by joining our team today.
Learn more about Morgan Stanley
Size
77,000 employees
Market Cap
$144.1 billion
Industry
Net Income
$10.9 billion
Founded
1935
5 Year Trend
+10%
Revenue
$52 billion
NASDAQ

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