CFA® Level I · 2027 curriculum

Quantitative Methods for CFA® Level I

Quantitative Methods builds the mathematical and statistical tools used throughout investment analysis, covering returns, valuation, probability, inference, portfolio risk, simulation, regression and financial data science.

Free diagnostic • 20 questions • No payment details required

What this topic covers

Quantitative Methods gives you the toolkit for turning financial data into comparable measures, valuations and evidence-based decisions. You will move from calculating and interpreting returns into time value of money, descriptive statistics, probability distributions and hypothesis testing. The topic then applies those foundations to portfolio risk, simulation, regression and financial data science, including machine learning and artificial intelligence in investment contexts.

By the end of this topic you should be able to:

  • Calculate and interpret investment returns, required returns and benchmark measures.
  • Use present value, implied return and no-arbitrage relationships in valuation.
  • Describe financial data using dispersion, distribution shape, covariance and probability models.
  • Apply sampling, confidence intervals and hypothesis tests to financial questions.
  • Measure portfolio risk and understand diversification, efficient portfolios and investor preferences.
  • Use simulation, regression and data-science concepts in investment analysis.

How the topic is structured

The topic progresses from measurement to inference and then to modelling. Returns and benchmarking establish how performance is expressed; time value of money connects cash flows across time. Statistical characteristics and probability distributions describe uncertainty, while estimation and hypothesis testing show how conclusions are drawn from samples. Portfolio mathematics then applies these tools to risk and diversification. Simulation and regression extend the analysis to models and prediction, before financial data science shows how modern datasets and computational methods fit into investment decision-making.

Practice in Cliro

How you practice Quantitative Methods in Cliro

  • Practice by topic

    Work through this topic on its own, or include it in a mixed session across the curriculum.

  • Detailed explanations

    See why the correct answer works after every practice question.

  • Review and mistakes

    The mistake log keeps incorrectly answered questions easy to revisit. Review brings due concepts back after time has passed.

  • Formula Gym and progress

    Recall key formulas without prompts and track progress by topic and concept.

Exam Pass and Monthly both include the two full mock exams.

See what is included

Where Cliro fits

Use Cliro at any stage of your Level I preparation.

  • Starting Level I

    Take the free diagnostic, then practice by topic. Your results build a picture of where you stand across all ten topics.

  • Retaking Level I

    Your diagnostic and practice results show which concepts are still weak. The mistake log keeps incorrectly answered questions easy to revisit, and Review brings due concepts back after time has passed.

  • Alongside your existing materials

    Cliro is designed to work alongside your core reading materials, adding question practice, mock exams, Formula Gym, review and progress tracking.

Other Level I topics

Start with a clear picture of where you stand.

The free diagnostic gives you an initial topic profile. Upgrade when you want the full Question Bank, mock exams and Formula Gym.

Free diagnostic • 20 questions • No payment details required