What is CFA Level 1 Quants Reading 1?
Reading 1 — Returns of Financial Assets — is the language of returns for the whole CFA programme. Module 1.1 covers price, distribution and total return, arithmetic vs geometric means, annualizing and continuous compounding. Module 1.2 builds the required rate of return from the real risk-free rate, inflation premium and risk premia, then covers real vs nominal, excess, gross/net, after-tax and leveraged returns.
Quantitative Methods carries roughly 6–9% of CFA Level I. Candidates who confuse arithmetic with geometric means, annualize by multiplying, or divide by ending price lose easy marks. This page packages RBei Classes lecture videos with downloadable revision assets aligned to Modules 1.1 & 1.2, taught by Deepak Goyal, CFA & FRM.
Rates of Return — Core Formulas
Memorise the structure; practise the traps. Full worked examples are in the formula sheet PDF.
Always divide by the beginning price P0. Total return = price return + distribution return.
| Measure | Use when | Watch out |
|---|---|---|
| Arithmetic mean | Simple average of periodic returns | Misleads over multiple volatile periods |
| Geometric mean | Compound rate actually earned | Geometric ≤ arithmetic; gap grows with variability |
| Annualized return | Compare different holding periods | Compound — do not multiply by 365/days |
| Continuous (log) return | Additive across periods | ln(1.20)=18.232% < 20% discrete |
Example: €20 → €22 with €1 dividend → price 10% + distribution 5% = 15% total. Acme (−9.34%, 23.45%, 8.92%): arithmetic 7.68%, geometric 6.825%.
Required Return & Return Measures
Interest rate = required return = discount rate = opportunity cost of consumption. Nominal rf ≈ real rf + inflation premium.
| Component | Compensates for | Example |
|---|---|---|
| Real risk-free rate | Time preference | Pure time value; no inflation, no default |
| Inflation premium | Expected loss of purchasing power | Seen in T-bill / nominal rf |
| Default risk premium | Borrower may not pay | Corporate yields above government |
| Liquidity risk premium | Hard to sell quickly at fair value | Thinly traded bonds |
| Maturity / other premia | Longer tenor or equity factors | Used later with CAPM / FI |
Also master pairs tested on the exam: ex post vs ex ante, realized vs unrealized, nominal vs real [(1+nom)/(1+inf)−1], gross vs net, pretax vs after-tax, unleveraged vs leveraged.
Common Reading 1 Exam Traps
Each trap is a wrong answer option the exam is built to tempt you with.
1. Dividing by ending price
Return is on what you invested at the start — always use P0.
2. Arithmetic for multi-period
−25% then +25% ends at $937.50; arithmetic says 0%, geometric −3.175%.
3. Wrong root for geometric mean
Four semiannual periods → root by 4 for per-period; by years for annual.
4. Annualizing by multiplying
0.75% × 365/90 ignores compounding — use (1.0075)^(365/90)−1.
5. Confusing discrete & continuous
Rcc=ln(1.20)=18.232%. Only continuous returns add across periods.
6. Ex ante vs ex post
Ex ante = expected (future); ex post = actual (past). Difference ≈ risk.
Download the full 17-trap PDF in the resources section — pair it with Lecture 3 and the practice-questions video.
Watch Reading 1 on YouTube
Click a thumbnail to play on-page (YouTube privacy-enhanced embed). Full playlist on the RBei Classes channel.
Lecture 1: CFA Level 1 Quants: Return of Financial Assets Explained Step-by-Step | Reading 1
Watch on YouTube ↗Lecture 2: CFA Level 1 Quants: Components & Measures of Return Explained | Reading 1 Lecture 2
Watch on YouTube ↗Lecture 3: CFA Level 1 (2027) | Pre-Tax vs After-Tax Return & Leverage Formula Explained | Reading 1 Lecture 3
Watch on YouTube ↗Lecture 4: CFA Level 1 (2027) Quants | Reading 1 Practice Questions & Solutions | Return of Financial Assets
Watch on YouTube ↗PDFs & Excel for Reading 1 — Direct Download
Files are hosted in this folder on cPanel. Use Download to save each resource. Print the formula sheet and trap PDF; open the Excel lab on your laptop.
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PDF · Core Formula Sheet
All Module 1.1 & 1.2 formulas with examples
Download PDF ↓ -
PDF Concept Map
How Modules 1.1 and 1.2 connect on one page
Download PDF ↓ -
PDF Comparison Tables
Which return is it? Side-by-side measures
Download PDF ↓ -
PDF · High yield Common Exam Traps
17 mistakes the exam is built to tempt
Download PDF ↓ -
PDF Flashcards
Fold-and-cut active recall cards
Download PDF ↓ -
PDF Forward Links
Where Reading 1 ideas return later in Level I
Download PDF ↓ -
PDF · Practice Real-Data Assignment
Apply Reading 1 to Indian investments
Download PDF ↓ -
XLSX · Lab Returns Lab (Excel)
Worked spreadsheet for price, distribution, geometric & continuous returns
Download Excel ↓
How Indian CFA candidates should practise
RBei Classes is based at B100, Noida Sector 52, Noida, UP 201301 and serves CFA aspirants across India (Delhi NCR, Mumbai, Bengaluru, Hyderabad, Chennai, Pune and online worldwide) with live + recorded coaching.
Reading 1 sticks when you use local data: RBI T-bill auctions, FBIL USD/INR, NSE/Nifty factsheets, and your own mutual-fund SIP XIRR. The Real-Data Assignment PDF and Excel playground on this page are built for that workflow. For full Level I prep, see CFA coaching, the Level 1 syllabus, and CFA coaching in Delhi NCR.
*93% is RBei Classes internal aggregate pass rate across CFA and FRM programmes (2018–2026), not the CFA Institute worldwide average.
Reading 1 — Frequently asked
Reading 1 (Returns of Financial Assets) covers rates of return for Modules 1.1 and 1.2: price, distribution and total return; arithmetic vs geometric mean; annualizing; continuously compounded returns; and the components of a required rate of return (real risk-free rate, inflation premium and risk premia).
The arithmetic mean is a simple average of periodic returns. The geometric mean is the compound rate actually earned: product of (1+R) to the power 1/n, minus 1. Geometric is always less than or equal to arithmetic; the gap grows with return variability. Example: −25% then +25% → arithmetic 0%, geometric −3.175%.
Compound, do not multiply: annualized return = (1 + period return)^(365/days) − 1, or (1 + period return)^c − 1 where c is periods per year. Example: 0.75% over 90 days → (1.0075)^(365/90) − 1 = 3.08%, not 0.75% × 365/90.
Rcc = ln(1 + period return) = ln(ending/beginning). Continuous returns are additive across periods. Example: $100 → $120 gives ln(1.20) = 18.232%, which is lower than the 20% discrete return that reaches the same ending value.
Required return = risk-free rate + risk premium. The nominal risk-free rate ≈ real risk-free rate + inflation premium (seen in T-bill rates). Bond investors also demand default, liquidity and maturity premia; equities add size/value and market risk premium ideas used later in CAPM.
Yes. RBei Classes provides the Reading 1 formula sheet, concept map, comparison tables, exam traps, flashcards, forward links, real-data assignment and Returns Lab Excel file free to download on this page. Lectures are on the RBei Classes YouTube channel.
Use the Real-Data Assignment and Returns Lab: compute price, distribution and total return on an Indian equity, annualize an RBI 91-day T-bill or bank FD, and compare arithmetic vs geometric means on Nifty or stock yearly closes. Pair each video with the matching PDF trap sheet.
About the instructor
Deepak Goyal, CFA & FRM
Founder of RBei Classes (2018). Every CFA and FRM batch is taught personally by Deepak Goyal — 17,000+ students across 25+ countries. These Quants Reading 1 notes and lectures mirror the classroom method: concept map → formula drill → exam traps → Indian-market practice. YouTube: @rbei7928 · WhatsApp: +91 85839 05853.
Ready to finish Quants with a structured plan?
Live online + recorded CFA Level I coaching from Noida, with mocks, mind maps and 1-on-1 doubts — taught only by Deepak Goyal.