What CFA Level 1 Quantitative Methods actually tests
Quantitative Methods is 6-9% of the Level 1 exam:
| Area | What it covers |
|---|---|
| Time Value of Money | PV, FV, annuities, perpetuities, NPV, IRR, holding period return |
| Statistical Concepts | Populations vs. samples, central tendency, dispersion, skewness, kurtosis, Chebyshev's inequality |
| Probability Theory | Conditional probability, Bayes' theorem, counting rules |
| Common Distributions | Uniform, binomial, normal, lognormal, Student's t, chi-square, F |
| Sampling & Estimation | Central Limit Theorem, standard error, confidence intervals, t-tests, z-tests |
| Hypothesis Testing | Type I/II errors, p-values, power of a test |
| Technical Analysis | Trend, support/resistance, chart patterns, Fibonacci retracements |
Why it matters beyond its own 6-9%
Time value of money isn't just its own topic — it's the mechanism behind bond pricing in Fixed Income, dividend discount models in Equity, and NPV-based capital budgeting in Corporate Issuers. A shaky grasp of TVM doesn't just cost marks here; it compounds into every topic that reuses it.
Sample question: Time Value of Money
An investor wants to accumulate $50,000 in 5 years by making equal deposits at the end of each year into an account earning 6% annually. What annual deposit is required (to the nearest dollar)?
FV of an ordinary annuity: FV = PMT × [(1+r)ⁿ − 1] / r. Solving for PMT: PMT = 50,000 / [(1.06⁵ − 1) / 0.06] = 50,000 / 5.6371 ≈ $8,870.
Choice D ($10,000) is the naive "just divide by 5" answer that ignores compounding entirely — a common shortcut that overstates the required deposit.
The 2026 Quantitative Methods syllabus, module by module
Pinnacle runs on a syllabus graph — named modules with explicit prerequisites, each one mapped against CFA Institute's official 2026 Level I topic outline. It is the same map the free diagnostic reasons over, not a marketing summary of it. These are the eleven confirmed Quantitative Methods modules, and what each one covers:
Time Value of Money
Discounting and compounding single sums and annuities — the arithmetic the rest of the curriculum is built on.
Rates & Returns
How returns are measured: holding-period returns, money-weighted and time-weighted returns, and nominal versus real rates.
Descriptive Statistics
Summarising a data set: measures of central tendency and dispersion, plus the shape measures — skewness and kurtosis.
Probability Concepts
Conditional and joint probability, expected value, and updating probabilities with Bayes' formula.
Probability Distributions
Working with the distributions Level 1 tests by name: normal, lognormal, binomial, and Student's t.
Sampling & Estimation
The central limit theorem, standard error, and building confidence intervals from sample data.
Hypothesis Testing
Framing null and alternative hypotheses, computing test statistics, reading p-values, and the trade-off between Type I and Type II error.
Tests of Independence
Parametric and non-parametric tests of independence — correlation-based tests, and the chi-square test of independence run on contingency-table data.
Simple Linear Regression
Ordinary least squares with one predictor: interpreting coefficients, R-squared, the ANOVA table, and prediction intervals.
Simulation Methods
Generating distributions from assumptions: lognormal and continuously compounded returns, Monte Carlo simulation, and bootstrap resampling — and what each is appropriate for.
Introduction to Big Data Techniques
Fintech and big data in investment management: the sources and characteristics of alternative data, and an introduction to machine learning approaches and their uses.
A note if you sit in 2027: CFA Institute's 2027 outline restructures Quantitative Methods — the same module count, but a different module set — so the list above is specifically the 2026 outline's.
Every practice question in the bank is tagged to one of these modules — which is how the diagnostic can name the specific concept underneath a wrong answer, not just the topic area it sat in.
Module names follow CFA Institute's published 2026 Level I topic outline, referenced for accuracy. Pinnacle is an independent adaptive learning platform. CFA® and Chartered Financial Analyst® are registered trademarks owned by CFA Institute. Pinnacle is not affiliated with, endorsed by, or connected to that organisation.