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Mathematical Methods for Quantitative Finance

Learn the mathematical foundations essential for financial engineering and quantitative finance: linear algebra, optimization, probability, stochastic processes, statistics, and applied computational techniques in R.

Mathematical Methods for Quantitative Finance

Learn the mathematical foundations essential for financial engineering and quantitative finance: linear algebra, optimization, probability, stochastic processes, statistics, and applied computational techniques in R.

Modern finance is the science of decision making in an uncertain world, and its language is mathematics. As part of the MicroMasters® Program in Finance, this course develops the tools needed to describe financial markets, make predictions in the face of uncertainty, and find optimal solutions to business and investment decisions.

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This course will help anyone seeking to confidently model risky or uncertain outcomes. Its topics are essential knowledge for applying the theory of modern finance to real-world settings. Quants, traders, risk managers, investment managers, investment advisors, developers, and engineers will all be able to apply these tools and techniques.

What you'll learn

  • Probability distributions in finance
  • Time-series models: random walks, ARMA, and GARCH
  • Continuous-time stochastic processes
  • Optimization
  • Linear algebra of asset pricing
  • Statistical and econometric analysis
  • Monte Carlo simulation
  • Applied computational techniques

Prerequisites

Calculus (multivariable)

Probability and statistics

Linear algebra

Basic programming skills

Meet your instructors

  • Featured image for Paul F. Mende
    Senior Lecturer

Who can take this course?

Because of U.S. Office of Foreign Assets Control (OFAC) restrictions and other U.S. federal regulations, learners residing in one or more of the following countries or regions will not be able to register for this course: Iran, Cuba, North Korea and the Crimea, Donetsk People's Republic and Luhansk People's Republic regions of Ukraine.