CFA Level 1 Quantitative Methods: What Gets Tested

Quant has a reputation for being the topic that scares non-maths candidates away in week one. That reputation is mostly unearned. Level 1 Quant does not ask you to derive anything. It asks you to recognise which tool a question needs and then use your calculator correctly. Candidates who struggle usually do so because they read the topic like a statistics textbook instead of practising the handful of calculations the exam keeps returning to.

How much Quant is worth

Exam window	Quant weight	Approx. questions (of 180)
2026 windows (through November 2026)	6–9%	11–16
February 2027 onwards	11–14%	20–25

If you sit in 2026, Quant is a mid-sized topic and you should aim for solid competence without over-investing. If you sit in 2027 or later, it becomes one of the four largest topics and deserves the same attention as Fixed Income. See the full table in CFA Level 1 topic weights.

Quant is also foundational. Time value of money drives bond pricing, equity valuation and capital budgeting. Variance and correlation drive portfolio management. Marks you earn by mastering Quant show up in other topics too.

What the 2026 curriculum covers

The 2026 Level 1 Quantitative Methods topic has 11 learning modules. Here is what each one asks you to do on exam day.

Module	What you need to be able to do
Rates and Returns	Calculate holding-period, arithmetic, geometric, money-weighted and time-weighted returns; annualise returns; convert between compounding frequencies
Time Value of Money in Finance	Price bonds, stocks and cash flows using PV and FV; solve for an implied rate or growth rate
Statistical Measures of Asset Returns	Interpret mean, median, variance, standard deviation, skewness and kurtosis
Probability Trees and Conditional Expectations	Use probability trees and Bayes' formula; calculate expected values
Portfolio Mathematics	Calculate portfolio expected return, variance, covariance and correlation
Simulation Methods	Explain the lognormal distribution, Monte Carlo simulation and bootstrapping
Estimation and Inference	Apply the central limit theorem, standard error and confidence intervals
Hypothesis Testing	Set up null and alternative hypotheses; interpret test statistics, p-values and Type I/II errors
Parametric and Non-Parametric Tests of Independence	Test a correlation coefficient; use a chi-square test of independence
Simple Linear Regression	Interpret slope, intercept, R², the F-test and residual assumptions
Introduction to Big Data Techniques	Describe big data, machine learning and their uses in investment work (conceptual only)

Five calculations that earn most of the marks

1. Geometric vs arithmetic mean return

A fund returns +20%, −10% and +5% over three years. The arithmetic mean is (20 − 10 + 5) ÷ 3 = 5.00%. The geometric mean is (1.20 × 0.90 × 1.05)^1/3 − 1 = 1.134^1/3 − 1 = 4.28%.

The exam likes to ask which figure better describes what an investor actually earned over the period. The answer is the geometric mean. The arithmetic mean is the better estimate of a single future year's expected return. The geometric mean is always less than or equal to the arithmetic mean, and the gap widens as volatility rises.

2. Annualising a return

A 3% quarterly return annualises to (1.03)⁴ − 1 = 12.55%, not 12%. Going the other way, a 12% annual return over 90 days is (1.12)^90/365 − 1 = 2.83%. The common trap is multiplying or dividing instead of compounding.

3. Bayes' formula

An analyst assigns a 60% probability that the economy expands. If it expands, a stock beats the market with 70% probability; if it contracts, with 30% probability. The stock beats the market. What is the updated probability that the economy expanded?

P(beat) = 0.60 × 0.70 + 0.40 × 0.30 = 0.42 + 0.12 = 0.54. P(expand | beat) = 0.42 ÷ 0.54 = 77.8%. Draw the probability tree every time. It takes 20 seconds and prevents most errors.

4. Two-asset portfolio standard deviation

A portfolio holds 60% in Asset A (σ = 20%) and 40% in Asset B (σ = 10%), with a correlation of 0.3.

Variance = 0.6² × 0.20² + 0.4² × 0.10² + 2 × 0.6 × 0.4 × 0.3 × 0.20 × 0.10 = 0.0144 + 0.0016 + 0.00288 = 0.01888. Standard deviation = √0.01888 = 13.74%.

The weighted average of the two standard deviations is 16%, so diversification has removed over two percentage points of risk. The exam often asks what happens as correlation falls; the answer is always that portfolio risk falls too.

5. Confidence interval and hypothesis test

A sample of 36 monthly returns has a mean of 8% and a standard deviation of 12%. The standard error is 12% ÷ √36 = 2%. A 95% confidence interval is 8% ± 1.96 × 2% = 4.08% to 11.92%.

To test whether the true mean is zero, the test statistic is (8% − 0) ÷ 2% = 4.0. That exceeds the 1.96 critical value, so you reject the null hypothesis at the 5% significance level. Notice that the confidence interval and the test agree: zero lies outside the interval. Our hypothesis testing guide covers Type I and Type II errors and p-values in more depth.

What is mostly conceptual

Several modules are tested through definitions and interpretation rather than calculation. For simulation methods, know when Monte Carlo is useful and why the lognormal distribution suits asset prices (it cannot go below zero and is right-skewed). For big data, know the vocabulary: supervised vs unsupervised learning, overfitting, and the "three Vs" of volume, velocity and variety. For regression, you will usually be handed an output table and asked to interpret it rather than build it, which we walk through in reading regression output.

Calculator skills worth automating

Most Quant marks are lost to keystroke errors, not misunderstanding. Before the exam you should be able to do these on the BA II Plus without thinking:

• TVM worksheet: N, I/Y, PV, PMT, FV, and resetting it between questions
• Cash flow worksheet: NPV and IRR on uneven cash flows
• Statistics worksheet: mean and standard deviation of a data set
• Exponent and root keys for geometric means and annualising returns
• Setting P/Y = 1 and checking it after every reset

How to study Quant efficiently

Spend about a third of your Quant time reading and two-thirds on questions. Start with Rates and Returns and Time Value of Money, because the rest of the curriculum depends on them. Then do portfolio maths, then hypothesis testing. Leave big data and simulation until last; they are short and mostly conceptual. Once a calculation feels routine, stop rereading it and move it to your weekly mixed-question review. For a full list of what to memorise, see the CFA Level 1 formula sheet.

Frequently asked questions

How much is Quantitative Methods worth on CFA Level 1?

For 2026 exams, Quantitative Methods is 6–9% of Level 1, about 11–16 questions. From February 2027 it rises to 11–14%, about 20–25 questions.

Is CFA Level 1 Quant hard?

It is less difficult than its reputation. The exam tests a limited set of calculations and interpretations, and most marks are lost to calculator errors or rushing rather than to difficult concepts.

What is the most important Quant topic for CFA Level 1?

Rates and Returns and Time Value of Money, because they are tested directly and are reused in Fixed Income, Equity and Corporate Issuers.

Do I need to memorise statistical tables for the CFA exam?

No. Any table you need is provided in the question. You should know common critical values such as 1.645, 1.96 and 2.58 for one- and two-tailed z-tests, because they save time.

Is Big Data tested with calculations?

No. The Introduction to Big Data Techniques module is tested conceptually through definitions and applications.

What is the difference between geometric and arithmetic mean return?

The geometric mean measures the compound growth rate actually earned over several periods. The arithmetic mean is a simple average and is the better estimate of a single period's expected return. The geometric mean is never higher than the arithmetic mean.

How long should I spend studying Quant?

For a 2026 window, most candidates spend around 25–35 hours. For 2027 windows, with the higher weight, plan closer to the time you would give Fixed Income or FSA.