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Level I · Foundational

Quantitative Foundations & Financial Reasoning

Develop the statistical intuition and quantitative reasoning required to understand and interpret financial evidence.

“What do the numbers actually tell us?”

No prior Academy level required. Basic mathematical familiarity is useful. The orientation and Module 1 are free to everyone.
10Modules, plus a free orientation
10Quick checks per module
40 MCQsTimed exam · 75% to pass
50Interview questions with answers

Learning objectives

  • Interpret core financial and statistical measures.
  • Understand probability and uncertainty.
  • Recognize misleading statistical conclusions.
  • Read basic quantitative research exhibits.

Progressive curriculum

Module directory

Start with the free orientation, then explore the topics and outcomes of each module. Study all ten modules in the interactive course, with worked explanations and quick checks after each section.

  1. 00

    What quant researchers do, a typical day, the skills that matter, strategy families, careers and pay, AI in research, and your roadmap through Level I.

    The job and the rolesStrategy familiesCareers, pay and AI

    Free · no account needed.

  2. 01

    Turn market narratives into testable hypotheses and learn how evidence changes a research decision.

    Hypotheses and evidenceUncertainty and benchmarksPrediction versus explanation

    Learning outcome: Distinguish a testable hypothesis from an appealing market narrative.

    Free · no account needed.

  3. 02

    Read simple and log returns, compounding, volatility, dividends, adjusted prices, and sampling frequency.

    Simple and log returnsCompounding and volatilityDividends, adjustments, frequency

    Learning outcome: Explain why a 50% gain followed by a 50% loss does not break even.

    Available with Level I enrollment or the complete three-level program.

  4. 03

    Reason about conditional probabilities, base rates, expected value, independence, and Bayesian updates.

    Conditional probability and independenceBase rates and BayesExpected value and payoff asymmetry

    Learning outcome: Explain why a signal with 70% directional accuracy may still lose money.

    Available with Level I enrollment or the complete three-level program.

  5. 04

    Look beyond average returns to dispersion, asymmetry, tail behavior, and the treatment of outliers.

    Mean, median, varianceSkewness and kurtosisFat tails, outliers, normality

    Learning outcome: Explain how identical average returns can conceal very different risks.

    Available with Level I enrollment or the complete three-level program.

  6. 05

    Compare return, downside risk, drawdown, Sharpe, Sortino, win rate, and profit factor with consistent conventions.

    CAGR, drawdown, volatilitySharpe and SortinoWin rate, profit factor, comparability

    Learning outcome: Compare two profitable strategies using their risk characteristics.

    Available with Level I enrollment or the complete three-level program.

  7. 06

    Interpret covariance, Pearson and Spearman correlations, autocorrelation, and the limits of diversification.

    Covariance and correlationRanks and autocorrelationSpurious relationships and diversification

    Learning outcome: Recognize when correlated signals offer little independent information.

    Available with Level I enrollment or the complete three-level program.

  8. 07

    Separate an observed result from what the sample can support about an uncertain underlying effect.

    Sampling and confidence intervalsHypothesis tests and p-valuesEffect size and statistical power

    Learning outcome: Distinguish statistical significance from economic value.

    Available with Level I enrollment or the complete three-level program.

  9. 08

    See how the mind judges risk, which cognitive and emotional biases distort decisions, how they may leave traces in prices, and how to view technical analysis as a testable hypothesis.

    Prospect theory and loss aversionCognitive and emotional biasesOverreaction, underreaction and technical analysis

    Learning outcome: Explain why a loss-averse investor may refuse a bet with positive expected value.

    Available with Level I enrollment or the complete three-level program.

  10. 09

    Learn what machine learning is, its short history, how models are trained, the main model families, overfitting, and how to evaluate a financial classifier honestly.

    Models, loss and gradient descentLinear models, trees, ensembles and neural networksOverfitting, validation and precision versus recall

    Learning outcome: Explain why a model with low training error can still predict badly on new data.

    Available with Level I enrollment or the complete three-level program.

  11. 10

    Audit tables, charts, denominators, sample sizes, and research summaries before accepting a claim.

    Tables and denominatorsCharts and sample sizesUnsupported claims and research recommendations

    Learning outcome: Identify unsupported claims in a quantitative research report.

    Available with Level I enrollment or the complete three-level program.

Formal assessment

Level I examination

40 multiple-choice questions. Minimum passing score: 75%. 90 minutes, with 180-minute and untimed options.

3 standard retakes after the initial attempt; a fourth retake requires Quant Atlas guidance and authorization.

Read the examination policy →

Included with this level

50 interview questions with answers

Explanatory answers, detailed reasoning, and common incorrect interpretations for non-coding quantitative research interviews, open from the day you enroll.

Explore interview preparation →

Go further · Optional resources

Build your mathematics, statistics, and Python toolkit.

Open these resources at any time. They are separate from the core modules and do not count toward examination eligibility, practice scores, or certification. Programming remains optional.

Ready to explore

Mathematical Foundations & Linear Algebra

Build mathematical confidence, then study pure linear algebra with step-by-step examples, geometric interpretation, and quick checks, closing with mental math techniques.

Open the optional resource →

Ready to explore

Introduction to Descriptive Statistics

A compact companion to the core course: calculate medians and modes, compare ranges and quartiles, read empirical percentiles, and build honest frequency summaries.

Open the optional resource →

Ready to explore

Introductory Python for Research

Learn to read basic Python and follow simple pandas workflows, with code examples and instant-feedback checks.

Open the optional resource →

End-of-level review

  • Distinguish a testable hypothesis from an appealing market narrative.
  • Explain why a 50% gain followed by a 50% loss does not break even.
  • Explain why a signal with 70% directional accuracy may still lose money.
  • Explain how identical average returns can conceal very different risks.
  • Compare two profitable strategies using their risk characteristics.
  • Recognize when correlated signals offer little independent information.
  • Distinguish statistical significance from economic value.
  • Explain why a loss-averse investor may refuse a bet with positive expected value.
  • Explain why a model with low training error can still predict badly on new data.
  • Identify unsupported claims in a quantitative research report.

Connect these skills in the Level I learning assessment. Then rehearse your explanations in the interview drills. Practice does not record official completion.

Continue to Level II

Level II is open to Level I students, and its examination requires a pass in the Level I examination.

Explore Level II →