CMT Level I · 3-Day Cram Guide
Comprehensive TL;DRs, deep dives, and 200+ Q&A flashcards covering every Level I unit (Welcome to Level I plus Units I through XII). Read top to bottom for full coverage, or jump to a specific section using the menu.
3-Day Cram Plan
Day 1 · Build the map
- Read every TL;DR on this page (~90 minutes).
- Take the 132-question placement exam once (2 hours).
- Note your three weakest sections from the results.
- Skim the deep dive of the top-weighted sections: Trend, Patterns, Indicators, and Comparative Market Analysis.
Day 2 · Repair weak spots
- Re-read the full deep dive plus every Q&A for your three weakest sections.
- Re-read the TL;DR for the remaining sections.
- Re-take the placement exam.
- Re-test only the sections you missed using the “Common questions” toggles on this page.
Day 3 · Lock it in
- Read every Q&A out loud, answering before opening the toggle.
- Memorize the numbers in the Final 24-hour Checklist (RSI 14, MACD 12/26/9, BBands 20/2, ADX 25, 68-95-99.7, and so on).
- Stop introducing new material at least 3 hours before sleep.
- Sleep at least 7 hours; arrive 30 minutes early with a valid photo ID.
Mindset rules
Level I rewards breadth, not depth. Most items test definitions, recognition, and one-step reasoning. When stuck, eliminate absolutist answers (“always,” “never,” “guarantees,” “automatically”) first — they are almost always wrong.
Pace math
132 questions in 120 minutes equals about 54 seconds per question. Plan four passes: (1) a fast pass answering every easy item; (2) work the medium items; (3) tackle the hard items; (4) review flagged items in the final ~10 minutes. Never leave a question blank — there is no guessing penalty.
0. Welcome to Level I — CMT Program, Charter & Ethics
The CMT Association is a not-for-profit credentialing body founded in the 1960s, advancing technical analysis through credentialing, ethics, education, and advocacy. The Chartered Market Technician (CMT) designation is earned only after (1) passing Levels I, II, and III; (2) becoming a Member in good standing; (3) completing three years of qualifying professional experience in technical analysis; (4) sponsorship; and (5) agreeing to abide by the CFA Institute Code of Ethics and Standards of Professional Conduct, which the CMT Association has adopted for its membership. Ethics is tested on all three levels.
Level I exam format: 132 multiple-choice questions, 2 hours (120 minutes), computer-based, four answer choices per item. It tests core terminology, definitions, basic tools, and concept recognition. Mathematics is conceptual rather than calculation-intensive. There is no guessing penalty — answer every question.
Level I emphasis: breadth across 12 numbered units plus the frontmatter. You are expected to recognize tools, interpret simple charts, and apply definitions correctly. Level II then tests application, and Level III tests integration, ethics scenarios, and portfolio construction.
The 7 Standards of Professional Conduct
The CMT Association adopts the CFA Institute Standards. Memorize the top-level structure:
| Std | Title | Key obligations |
|---|---|---|
| I | Professionalism | Knowledge of the law (A); independence and objectivity (B); misrepresentation (C); misconduct (D); competence (E); responsibilities of supervisors (F, in newer editions). |
| II | Integrity of Capital Markets | Material nonpublic information (A); market manipulation (B). |
| III | Duties to Clients | Loyalty, prudence & care (A); fair dealing (B); suitability (C); performance presentation (D); preservation of confidentiality (E). |
| IV | Duties to Employers | Loyalty (A); additional compensation arrangements (B); responsibilities of supervisors (C). |
| V | Investment Analysis, Recommendations, Actions | Diligence and reasonable basis (A); communication with clients (B); record retention (C). |
| VI | Conflicts of Interest | Disclosure of conflicts (A); priority of transactions (B); referral fees (C). |
| VII | Responsibilities as a Member or Candidate | Conduct in CFA Program (A); reference to CFA designation (B). Mirrored for CMT Association by extension. |
Ethics scenarios you will see
- Material nonpublic info: cannot trade or recommend on it; the mosaic theory (combining nonmaterial public + nonpublic data into a material conclusion) is allowed.
- Suitability (III-C): recommendations must fit the client’s objectives, constraints, and risk tolerance — not just be a “good idea.”
- Priority of transactions (VI-B): client trades come first, then employer, then personal.
- Soft dollars / gifts: must be disclosed; cannot impair independence.
- Performance presentation (III-D): fair, accurate, complete; show gross/net, time period, methodology.
- Misrepresentation (I-C): includes plagiarism — cite sources.
CMT Charter requirements (memorize)
- Pass Level I, Level II, and Level III exams.
- Become a Member of the CMT Association in good standing.
- Three years (36 months) of qualifying professional experience in a role that applies technical analysis.
- Provide professional references; sponsorship by existing Members.
- Sign and abide by the CFA Institute Code of Ethics and Standards of Professional Conduct.
- Maintain dues and membership in good standing.
Curriculum & exam logistics
- Three volumes of curriculum, one per level. Level I focuses on foundations.
- Exam is delivered at Prometric centers (or via approved online proctoring in many regions) on a multi-week window in Spring and Fall.
- Approved calculators: TI BA II Plus and HP 12C. Level I uses calculator sparingly.
- Photo ID required. No personal items in the testing room.
- Score reporting: pass/fail with topic-level performance bands (above / at / below band).
Common questions
What is the format of the Level I exam?
What is the primary purpose of the CMT Association?
On how many CMT levels does ethics appear?
Whose Code of Ethics does the CMT Association use?
How many years of qualifying experience are required to earn the CMT charter?
Under the Standards, in what order should trades be executed?
Is the mosaic theory permitted?
What does suitability require?
If a question stem says “always” or “guarantees,” what should you do?
Is there a penalty for guessing?
Which approved calculators may a candidate use?
What is the difference between Level I, II, and III in posture?
I. Theory and History of Technical Analysis
Technical analysis (TA) is the study of market action — primarily price and volume — to forecast future price direction. It rests on three core assumptions: (1) market action discounts everything (price reflects every known piece of fundamental, economic, and psychological information); (2) prices move in trends (a trend in motion is more likely to continue than reverse until clear evidence of reversal); and (3) history repeats itself (price patterns and crowd psychology recur because human behavior is consistent).
Dow Theory, the foundation of modern TA, was articulated by Charles H. Dow (founder of the WSJ, late 1800s) and codified by William Hamilton and Robert Rhea. Its six tenets describe how primary, secondary, and minor trends interact, the three phases of a primary bull/bear market (accumulation, public participation, distribution/panic), the principle that the major averages must confirm each other (originally Industrials and Rails), the requirement that volume confirms the trend, and the rule that a trend is assumed in force until a definitive reversal signal proves otherwise.
The Efficient Market Hypothesis (EMH) — weak, semi-strong, and strong forms — challenges TA by claiming past prices (weak), public info (semi-strong), or all info (strong) is already in price. Technicians answer with documented anomalies (momentum, value, size, low-volatility, post-earnings drift, calendar effects), behavioral evidence (overreaction, underreaction, herding), the arcsine law (which shows random walks visually produce trend-like runs, so the existence of trends is consistent with imperfect efficiency), and the practical track records of disciplined technicians. TA does not require markets to be inefficient; it requires that some exploitable patterns exist often enough to manage risk-adjusted return.
Recognition milestones: the formation of the Market Technicians Association (MTA) in 1973 (renamed CMT Association); SEC and FINRA acceptance of TA-based research; academic publication of behavioral finance (Kahneman/Tversky, Shiller, Thaler); and integration with quantitative finance.
The Three Assumptions in Detail
- Price discounts everything: any information that could affect a stock is already reflected in its price. This frees the technician from chasing earnings, geopolitics, or supply chains directly — the price tape integrates them. The corollary: focus on price, because that is the market’s aggregate verdict.
- Prices move in trends: a trend is more likely to continue than reverse. The technician’s job is to identify the trend, ride it, and detect when it reverses. This drives entry/exit philosophy and risk management.
- History repeats: chart patterns reflect crowd psychology — greed, fear, hope, denial — which recur consistently. This is why pattern recognition (e.g., head & shoulders) has decades of empirical longevity.
Dow Theory — The Six Tenets
- The Averages Discount Everything. Both the Industrial Average and the Rail (Transportation) Average reflect all known information.
- The Market Has Three Trends.
- Primary trend: lasts months to years; the “tide.”
- Secondary trend: lasts weeks to months; corrections against the primary; typically retrace 33%–66% (often ~50%) of the prior primary leg.
- Minor trend: lasts days to weeks; noise — the “ripples.”
- Major Trends Have Three Phases.
- Bull market: accumulation (informed buying near the lows) → public participation (sustained advance, broad media coverage) → distribution (informed selling to the late-arriving public).
- Bear market: distribution → panic (sharp decline) → despondency (long grinding bottom with discouraged sellers).
- The Averages Must Confirm. A new primary trend signal requires confirmation: both the Industrial and Transportation averages must move in the same direction. A non-confirmation is a warning, not a reversal.
- Volume Must Confirm the Trend. Volume expands in the direction of the primary trend and contracts on counter-trend moves. Declining volume on advances is a red flag in a bull market.
- A Trend is Assumed In Force Until Definitively Reversed. This is the Dow analogue of Newton’s first law: don’t pre-empt a reversal call. Wait for evidence (a failed swing, structural break, or non-confirmation).
EMH & the Random Walk
Documented Anomalies (used to argue against strict EMH)
- Momentum: past 3–12 month winners outperform losers over the next 3–12 months.
- Value: low price-to-book / low P/E stocks historically outperform high-multiple stocks (Fama-French).
- Size: small-cap stocks historically outperform large-cap, adjusted for risk (Banz, Fama-French).
- Low-volatility: low-vol stocks have outperformed high-vol stocks on a risk-adjusted basis.
- Post-earnings announcement drift (PEAD): stocks continue to drift in the direction of earnings surprises for weeks.
- Calendar effects: January effect (small-cap January outperformance), turn-of-the-month effect, “Sell in May.”
- Reversal at long horizons: 3–5 year prior losers tend to outperform prior winners (De Bondt & Thaler).
Historical Mileposts (names you should recognize)
- Charles H. Dow (1851–1902): co-founder Dow Jones & Company and WSJ; published the editorials that became Dow Theory.
- William Peter Hamilton: WSJ editor who systematized Dow’s editorials into a coherent theory (“The Stock Market Barometer,” 1922).
- Robert Rhea: codified Dow Theory in “The Dow Theory” (1932), formalizing the six tenets.
- Richard Schabacker (1930s): “Technical Analysis and Stock Market Profits” — first comprehensive pattern catalog.
- Edwards & Magee (1948): “Technical Analysis of Stock Trends” — the canonical pattern textbook still in print today.
- Ralph Nelson Elliott (1930s–40s): Elliott Wave Theory (5 impulse + 3 corrective wave structure).
- W. D. Gann (early 1900s): time/price geometry, the Gann angle (1×1 = 45°).
- Richard Wyckoff (early 1900s): accumulation/distribution method, the Composite Operator concept.
- J. M. Hurst (1970): cycle theory and the Hurst principles.
- Steve Nison (1990s): introduced Japanese candlesticks to Western audiences.
- John Bollinger (1980s): Bollinger Bands.
- J. Welles Wilder (1978): “New Concepts in Technical Trading Systems” — RSI, ADX, Parabolic SAR, ATR.
- Peter Steidlmayer (1980s): Market Profile.
- MTA founded 1973 → renamed CMT Association; later achieved regulatory recognition for technical analysis as a research discipline.
Common questions
What three averages or indexes did Dow Theory originally use to confirm trends?
What are the three phases of a primary bull market under Dow Theory?
Which form of EMH most directly challenges technical analysis?
What is the arcsine law’s implication for technicians?
What is the joint hypothesis problem?
What is the typical retracement range for a Dow secondary correction?
Who wrote “Technical Analysis of Stock Trends” (1948)?
Who introduced Japanese candlestick charting to the West?
What does J. Welles Wilder’s 1978 book contribute?
What is the momentum anomaly?
What is the post-earnings announcement drift (PEAD)?
What does Dow Theory say about volume in a primary uptrend?
When is a Dow primary trend considered reversed?
What did the De Bondt-Thaler long-horizon study find?
Name three major behavioral phenomena cited against EMH.
II. Charts: Market Price Data
A chart is the visual representation of price (and often volume) over a chosen interval. The interval can be time-based (1-minute, 5-minute, 60-minute, daily, weekly, monthly) or activity-based (tick charts after every N trades, volume bars after every N shares/contracts, range bars after each N-point move, point-and-figure, Renko, Kagi).
The two most important chart-type distinctions: (1) line (close-only) vs bar/candle (OHLC); (2) time-axis charts (line/bar/candle) vs price-only charts (point-and-figure, Renko, Kagi). Candlesticks encode the same OHLC data as bars but make psychology visible through colored real bodies and shadows.
The two most important scale choices: arithmetic (linear) — equal vertical distance equals equal dollar change; and logarithmic / semi-log — equal vertical distance equals equal percentage change. Use semi-log for long-history charts and assets that have traded over wide ranges (a 10→20 move and a 100→200 move both look equal, because both are 100%).
Volume is the count of shares (equities) or contracts (futures/options) traded in the interval. Open interest (futures/options only) is the count of contracts currently outstanding. Together they reveal the participation and sponsorship behind a price move. A breakout on heavy volume is more reliable than the same move on thin volume.
Key data-quality concerns: split/dividend adjustment for equities, contract roll for futures (back-adjusted vs continuous), survivorship bias in historical universes, and exchange holiday gaps.
Chart Types — What Each Encodes
Arithmetic vs Logarithmic Scaling
- Arithmetic (linear): equal vertical = equal dollar move. Useful for short timeframes and narrow ranges. A trendline drawn on an arithmetic chart implies equal dollar gains.
- Semi-log / logarithmic: equal vertical = equal percentage move. Required for long-term charts of high-growth assets. A trendline on a log chart implies equal percentage gains.
- Worked example: 10 → 20 is +100%; 100 → 200 is +100%. On an arithmetic chart, the second looks 10× bigger; on a log chart they look identical.
- Best practice: long-term charts (multi-year, multi-decade) — log. Intraday and short-term — arithmetic is fine.
Intervals: Time-Based vs Activity-Based
- Time-based: 1m, 5m, 15m, 30m, 60m, 4h, daily, weekly, monthly. Each bar represents the OHLC over that fixed clock window.
- Tick charts: a new bar after every N trades. Activity-driven; quiet periods produce fewer bars.
- Volume bars: a new bar after every N shares/contracts. Each bar represents equal participation, not equal time.
- Range bars: a new bar after each N-point price move. Each bar has equal price travel.
- P&F / Renko / Kagi: pure price-driven; time removed.
- Shorter intervals = more noise, more signals; longer intervals = more signal, slower response. Multiple time frames are recommended.
Volume & Open Interest
- Volume: number of shares (equities) or contracts (futures/options) traded in an interval. Reveals the participation behind a move.
- Open interest (OI): futures/options only. Number of contracts outstanding. A new buyer + new seller = OI rises by 1. Two existing holders offsetting = OI falls by 1.
- Key futures/options rules:
- Price up + Volume up + OI up ⇒ strong bullish (new longs).
- Price up + Volume down + OI down ⇒ weak rally (short covering).
- Price down + Volume up + OI up ⇒ strong bearish (new shorts).
- Price down + Volume down + OI down ⇒ weak decline (long liquidation).
- Volume divergence with price (price up, volume falling for many days) warns of fading participation.
Data quality & gotchas
- Split/dividend adjustment: equity charts should be adjusted for splits and dividends for accurate long-term analysis.
- Futures contract roll: continuous contracts must be back-adjusted to remove gaps at expiration roll; otherwise pattern analysis is distorted.
- Survivorship bias: historical equity universes that exclude delisted or merged companies inflate measured returns.
- Holidays, half-days, and time-zone shifts create gaps that are not informational.
- Tick vs trade vs quote data: granularity differences matter for high-frequency analysis.
Common questions
Which chart type ignores time entirely?
When is a logarithmic price scale preferred?
What information does a candlestick add beyond a line chart?
What does open interest measure?
What is the bullish interpretation of: price up, volume up, OI up?
What does price up + volume down + OI down imply?
What is a 3-box-reversal P&F chart?
What are the value area and point of control in Market Profile?
Which chart type best shows the closing-price trend with minimum noise?
What does a bar chart’s left tick represent?
What is equivolume charting?
What is the main risk of using unadjusted historical equity data?
How does a Renko brick get plotted?
What does a yang (thick) Kagi line represent?
III. Trend Analysis
A trend is the directional bias of price. An uptrend = sequence of higher highs (HH) and higher lows (HL). A downtrend = sequence of lower highs (LH) and lower lows (LL). A sideways / trading range oscillates between defined support and resistance with no directional bias.
Support = a price area where demand has historically been strong enough to halt declines. Resistance = a price area where supply has historically been strong enough to halt advances. They are zones, not exact prices. Once decisively broken, support becomes resistance and resistance becomes support — the polarity principle — because the trapped traders at the broken level want to exit on a return.
Trendlines connect successive higher lows (uptrend) or lower highs (downtrend). Two touches define a line; three touches confirm it. A break requires a meaningful close beyond the line, ideally on expanding volume. Channels are formed by drawing a parallel line through the opposite swings of the trendline.
Common retracement levels use Fibonacci ratios: 23.6%, 38.2%, 50%, 61.8%, 78.6%. A normal pullback in a healthy trend retraces 38.2% to 61.8% of the prior leg. Deeper retracements (>61.8%) warn the trend may be ending.
Volume confirms trend: in an uptrend, volume expands on rallies and contracts on pullbacks. Multiple time frames are mandatory: use higher time frames for context (where am I in the bigger trend?), lower time frames for execution (precise entry). Signals aligned across time frames are highest quality.
Trends end through (1) structural failure — a lower low in an uptrend or a higher high in a downtrend; (2) momentum exhaustion — bearish/bullish divergences; (3) breadth deterioration — participation narrows; (4) climax volume — capitulative bar; (5) major support/resistance break.
Trend Definitions & Classification
- Primary trend: months to years (Dow Theory tide).
- Intermediate / secondary trend: weeks to months; corrections within the primary; retrace 33–66% typically.
- Short-term / minor trend: days to weeks; noise on the primary trend.
- An uptrend requires both HH and HL. A pullback that does not undercut the prior HL keeps the uptrend intact.
- An uptrend is suspect when the last HL gets broken; it is broken when a LH and LL form (a new downtrend).
Support & Resistance — Strength Factors
- Number of touches: more touches = more visible level = more reactive.
- Time held: a level that has held for years is more meaningful than one that held for days.
- Volume at the level: high-volume touches anchor the level in memory.
- Age: older levels often have larger trapped audiences; their reactions can be stronger.
- Round numbers and psychological levels: $100, $50, integers in indexes (S&P 5000, DJIA 40,000) act as soft support/resistance.
- Prior all-time high / low: often a major battleground.
- Polarity principle: a broken support becomes resistance (sellers who bought at that level want to break even); a broken resistance becomes support.
Trendlines & Channels — Drawing Rules
- Up trendline: connect successive higher lows. Touch points should not pierce the line.
- Down trendline: connect successive lower highs.
- Two touches define, three touches confirm, break requires a decisive close beyond (not just intrabar) — ideally with rising volume.
- Steeper trendlines break more easily than shallow ones; very steep trendlines are typically unsustainable.
- Channel: draw a parallel line through the opposite swings. Price oscillates within the channel; touches of the upper line in an uptrend are profit-taking zones, lower line is buy-the-dip.
- Internal vs external trendlines: external use extreme highs/lows; internal pass through the body of price action.
Fibonacci Retracements & Extensions
- Retracements (within prior swing): 23.6%, 38.2%, 50%, 61.8%, 78.6%.
- Extensions (beyond the prior swing): 127.2%, 161.8%, 261.8%.
- The 61.8% (golden ratio) is the most-watched retracement; a hold there is bullish for the prior trend.
- A retracement deeper than 78.6% often signals a trend change.
Volume + Trend Rules
- In a healthy uptrend: volume expands on rallies, contracts on pullbacks.
- In a healthy downtrend: volume expands on declines, contracts on bounces.
- Divergence: price up + volume down for several days = warning.
- Climax volume on a single bar can mark the end of a move (selling/buying exhaustion).
Multiple Time Frames (MTF)
- Top-down approach: monthly → weekly → daily → intraday.
- Trade only in the direction of the higher time frame trend; use the lower time frame for execution.
- A signal aligned across at least two time frames is higher quality than a single-time-frame signal.
The Four Trades (Dow-style decision framework)
- Buy in an established uptrend on a pullback to support / rising trendline / 38.2–61.8% retracement.
- Add to longs on a continuation breakout above prior resistance with volume.
- Sell or short when an uptrend reverses and a new downtrend is confirmed (LH + LL).
- Add to shorts on a continuation breakdown below prior support with volume.
Stop Placement Conventions
- Structural stops: just beyond the most recent swing low (long) or swing high (short).
- Volatility stops: distance defined as N×ATR from entry, where N is typically 1.5–3.
- Trailing stops: ratchet stop up (long) as new HL form; Parabolic SAR or chandelier stops are common.
- Round-number caution: don’t place stops precisely at the round numbers everyone else uses; allow some buffer.
Common questions
How is an uptrend defined?
What is the polarity principle?
How many touches confirm a trendline?
What is a false breakout?
How should volume behave in a healthy uptrend?
Why use multiple time frames?
What are the most commonly watched Fibonacci retracement levels?
Which Fibonacci level is considered the most important?
What is a channel?
What signals trend exhaustion?
Where do structural stops go for a long position?
How is a volatility stop sized?
What is the typical retracement for a healthy pullback in an uptrend?
What confirms a trendline break?
What is the “trapped traders” explanation for polarity?
How does a trendline’s steepness affect its reliability?
IV. Chart Pattern Analysis
Chart patterns are visual evidence of supply, demand, and crowd psychology. They divide into two families:
- Reversal patterns — appear at the end of a trend and signal a change in direction. Examples: head & shoulders, inverse head & shoulders, double top/bottom (M/W), triple top/bottom, rounding top/bottom (saucer), V-spike top/bottom, broadening top.
- Continuation patterns — appear within a trend as a pause and signal that the trend will likely resume. Examples: symmetrical triangle, ascending triangle, descending triangle, flag, pennant, rectangle, wedge (context-dependent).
Pattern lifecycle: formation → breakout (decisive close beyond the pattern’s key line) → optional throwback (pullback) to the broken line (now polarity-flipped) → measured move.
Target measurement rule of thumb: project the pattern’s vertical height (or the prior “pole” in flags/pennants) from the breakout point in the direction of the break. These are minimum objectives, not guarantees.
Volume signature: classic patterns typically show declining volume during formation (consolidation) and expanding volume on breakout. A breakout without volume confirmation is suspect.
Gaps are price discontinuities between one bar’s close and the next bar’s open. Four main types: common (no signal), breakaway (out of a base, new trend), runaway/measuring (mid-trend, often the halfway point), exhaustion (near the end of a trend, often filled rapidly). An island reversal = exhaustion gap followed by a breakaway gap in the opposite direction.
Japanese candlesticks are bar-chart equivalents that emphasize the open-to-close real body. Reversal patterns: doji, hammer, hanging man, shooting star, inverted hammer, engulfing, harami, morning/evening star, three white soldiers / three black crows, tweezers, dark cloud cover, piercing line. Continuation patterns: rising/falling three methods, marubozu, separating lines.
Reversal Patterns — In Detail
| Pattern | Trend before | Confirmation | Target measurement | Volume signature |
|---|---|---|---|---|
| Head & Shoulders Top | Uptrend | Close below neckline (drawn through the two intervening lows) | Distance from head to neckline, projected downward from the neckline break | Highest volume on left shoulder, lower on head, lowest on right shoulder; expansion on breakdown |
| Inverse Head & Shoulders | Downtrend | Close above neckline | Distance from head to neckline, projected upward | Mirror image; volume should expand on breakout |
| Double Top (“M”) | Uptrend | Close below the intervening low | Distance from peak to trough, projected downward | Second top often shows lower volume than first |
| Double Bottom (“W”) | Downtrend | Close above the intervening high | Distance from trough to peak, projected upward | Volume usually expands on the second low’s rally and on breakout |
| Triple Top / Bottom | Up / Down | Break of the support/resistance shared by the three extremes | Height of pattern projected from breakout | Stronger than double; failures at the level on diminishing volume |
| Rounding Top (saucer) | Uptrend | Gradual rollover; break of long-term support | Often unmeasured; major top signal | Volume bowl-shaped, low at the apex of the curve |
| Rounding Bottom (saucer) | Downtrend | Gradual base and breakout above the saucer rim | Often unmeasured; major bottom signal | Volume low at the bottom of the saucer; expands on emergence |
| V Top / Bottom | Either | Single-bar reversal; often news or capitulation-driven | None; reversal-confirmation only | Climax-volume bar typical |
| Broadening Top (megaphone) | Late uptrend | Higher highs + lower lows widening | Volatile and unreliable; warns of distribution | Volume is erratic; sign of disorderly market |
Continuation Patterns — In Detail
| Pattern | Setup | Bias | Target measurement | Volume signature |
|---|---|---|---|---|
| Symmetrical Triangle | Lower highs + higher lows converging | Direction usually = prior trend (~60–70% of the time) | Height of the widest part projected from the breakout | Declining volume during formation; expansion on breakout |
| Ascending Triangle | Flat resistance, rising support | Bullish bias | Triangle height projected upward from breakout | Volume declines as it forms; expands on breakout |
| Descending Triangle | Flat support, falling resistance | Bearish bias | Triangle height projected downward from breakdown | Volume declines; expands on breakdown |
| Flag | Sharp move (the “pole”) followed by a small parallel counter-trend channel | Continuation | Length of the pole projected from the breakout point | Volume highest on the pole, low in the flag, expands on breakout |
| Pennant | Sharp move (pole) followed by a small symmetrical triangle | Continuation | Length of the pole projected from breakout | Same as flag |
| Rectangle | Horizontal range between defined support and resistance | Continuation in direction of prior trend, with breakout | Height of rectangle projected in breakout direction | Volume often subdued; expansion on breakout |
| Rising Wedge | Both lines rising but converging | Bearish in uptrends (reversal); continuation rarely | Move back to wedge origin or beyond | Volume often declines as wedge narrows |
| Falling Wedge | Both lines falling but converging | Bullish in downtrends (reversal); continuation rarely | Move back to wedge origin or beyond | Volume often declines as wedge narrows |
| Cup & Handle | U-shaped base + small consolidation handle | Bullish continuation | Cup depth projected upward from breakout | Volume bowl in cup; pullback in handle; expansion on breakout |
Gap Taxonomy
Japanese Candlesticks — Essential Patterns
Single-candle
- Doji: open ≈ close. Indecision. Becomes meaningful at trend extremes. Variants: long-legged, gravestone (long upper shadow), dragonfly (long lower shadow).
- Hammer: small body at the top, long lower shadow (≥ 2× body). Bullish reversal at lows.
- Hanging Man: same shape as hammer, but at the top of an uptrend. Bearish.
- Shooting Star: small body at the bottom, long upper shadow. Bearish reversal at highs.
- Inverted Hammer: same shape as shooting star, but at the bottom of a downtrend. Bullish.
- Marubozu: no shadows; entire bar is body. Strong trending bar.
- Spinning top: small body, both shadows. Indecision.
Two-candle
- Bullish engulfing: down bar followed by an up bar whose real body fully engulfs the prior body. Bullish reversal at lows.
- Bearish engulfing: up bar followed by a down bar whose real body fully engulfs the prior body. Bearish reversal at highs.
- Harami (bullish/bearish): a small body fully contained within the prior large opposite-color body. Indecision / potential reversal.
- Piercing line (bullish): a down bar, then a strong up bar opening below the prior low and closing past the midpoint of the prior body.
- Dark cloud cover (bearish): an up bar, then a strong down bar opening above the prior high and closing past the midpoint of the prior body.
- Tweezer top / bottom: two candles with matching highs (top) or lows (bottom) at the trend extreme.
Three-candle
- Morning star: down bar → small-body indecision bar (often a doji) → strong up bar. Bullish reversal at lows.
- Evening star: up bar → small-body indecision bar → strong down bar. Bearish reversal at highs.
- Three white soldiers: three consecutive strong up bars with small wicks. Bullish continuation / reversal.
- Three black crows: three consecutive strong down bars. Bearish.
- Rising/falling three methods: continuation patterns — a strong directional bar, three small counter-trend bars contained inside the first bar’s range, then another strong directional bar.
Pattern reliability tips
- Bigger patterns project bigger moves. A 6-month base > a 3-week base.
- Patterns formed at strong support/resistance confluences are more reliable.
- Patterns confirmed by volume expansion on breakout are more reliable.
- Patterns that retest the breakout line (throwback) and hold the polarity flip are higher-quality entries.
Common questions
What is the measured target for a head and shoulders top?
Are triangles reversal or continuation patterns?
What confirms a double bottom?
What does an exhaustion gap signal?
What is the measurement target for a flag pattern?
What is a bullish engulfing candle?
Why does volume matter to pattern confirmation?
What is the difference between a flag and a pennant?
What is an island reversal?
What is the typical volume pattern during a symmetrical triangle?
What does a doji at the top of an uptrend suggest?
What is the target of a cup and handle pattern?
What does an evening star indicate?
What is a throwback or pullback after a breakout?
What is a measuring gap and what does it suggest about the trend?
What distinguishes a rising wedge from a flag?
Why is the volume on a head & shoulders top typically lower on the right shoulder?
V. Technical Indicators
Indicators are mathematical transformations of price (and sometimes volume) designed to expose information that the eye might miss — trend direction, trend strength, momentum, volatility, money flow, or divergence. Almost all indicators are lagging because they are computed from past prices; they confirm rather than predict.
Four families to memorize: trend (moving averages, MACD, ADX, Parabolic SAR, Ichimoku), momentum / oscillators (RSI, Stochastics, Williams %R, CCI, ROC), volume / money-flow (OBV, A/D Line, CMF, MFI, VWAP), and volatility bands (Bollinger Bands, Keltner Channels, Donchian Channels, ATR).
Default settings to memorize: SMA/EMA 50 and 200 (intermediate/long), RSI 14, Stochastics 14/3/3 (or 5/3/3), MACD 12/26/9, Bollinger Bands 20-period SMA ± 2σ, ADX 14, ATR 14, CCI 20, Williams %R 14, Ichimoku 9/26/52.
Key concepts: crossover (e.g., golden cross = 50 MA crossing above 200 MA), overbought/oversold (RSI > 70 / < 30; Stochastics > 80 / < 20), divergence (price makes new extreme but indicator does not — warns of momentum loss), centerline (oscillator crosses zero or 50), and signal-line (MACD crossing its 9-EMA signal line).
Combining indicators is only valuable when they measure different things. Three momentum oscillators built from the same price input do not provide independent confirmation — they create false confidence. The strongest setups feature confluence of price action + volume + indicator.
Moving Averages
- Simple Moving Average (SMA): arithmetic mean of N closes. SMA = (P1 + P2 + ... + Pn) / N. Equal weight to each period.
- Weighted Moving Average (WMA): linear weights favor recent data. Recent period weight = N, oldest weight = 1.
- Exponential Moving Average (EMA): weights decay exponentially. EMA_t = α · P_t + (1 − α) · EMA_{t-1} where α = 2 / (N + 1). Responds faster than SMA of the same length.
- Common lengths: 10, 20, 50, 100, 200 days.
- Golden cross: short MA (commonly 50-day) crosses above long MA (commonly 200-day). Bullish intermediate/long-term signal.
- Death cross: short MA crosses below long MA. Bearish.
- MAs act as dynamic support (uptrend) and dynamic resistance (downtrend).
- Price relative to the 200-day SMA is a common bull-vs-bear regime filter.
Momentum & Oscillators
| Indicator | Default | Range | OB / OS | Key signal |
|---|---|---|---|---|
| RSI (Wilder) | 14 | 0–100 | >70 / <30 | Divergence + level + centerline (50) |
| Stochastics (%K / %D) | 14, 3, 3 | 0–100 | >80 / <20 | %K vs %D crossover; divergence |
| Williams %R | 14 | 0 to −100 | > −20 OB / < −80 OS | Inverted stochastic |
| CCI | 20 | unbounded | >+100 / <−100 | Trend identification + extreme reversion |
| ROC | 10 or 12 | unbounded % | Zero-line crosses; magnitude | Pure momentum |
| MACD | 12, 26, 9 | unbounded | — | MACD vs signal-line crossover; zero-line; histogram; divergence |
- RSI formula intuition: RSI = 100 − 100 / (1 + RS), where RS = avg gain / avg loss over N periods.
- MACD: MACD line = EMA(12) − EMA(26); Signal = EMA(9) of MACD; Histogram = MACD − Signal.
- Divergence: bullish = price makes a lower low, oscillator makes a higher low (momentum fading on the downside). Bearish = price higher high, oscillator lower high.
- In strong trends, oscillators can remain overbought / oversold for long stretches. Don’t fade strong trends purely on RSI > 70.
Trend-Strength Indicators
- ADX (Average Directional Index): 0–100. Direction-agnostic measure of trend strength. ADX > 25 = trending; < 20 = trendless/range. Trend direction read from +DI vs −DI (when +DI > −DI, uptrend; opposite for downtrend).
- Parabolic SAR: trailing stop indicator. Dots appear above price in downtrends, below in uptrends. Flips on penetration.
- Ichimoku Cloud: combines five lines (Tenkan-sen 9, Kijun-sen 26, Senkou Span A and B, Chikou Span). Cloud (Kumo) above price = bullish regime; below = bearish.
Volume & Money-Flow Indicators
- On-Balance Volume (OBV): cumulative running total: add volume on up-close days, subtract on down-close days. Divergence between OBV and price warns of weak participation.
- Accumulation/Distribution (A/D) Line: volume weighted by where the close sits in the day’s range. Close near high = positive contribution; near low = negative.
- Chaikin Money Flow (CMF): A/D summed over 20 periods, normalized by 20-period volume. Above 0 = buying pressure; below 0 = selling pressure.
- Money Flow Index (MFI): volume-weighted RSI. 0–100; >80 OB, <20 OS.
- Volume-Weighted Average Price (VWAP): intraday benchmark; running cumulative price×volume / cumulative volume. Institutions execute around VWAP.
- Force Index (Elder): (Close − Prior Close) × Volume. Combines direction, magnitude, and volume.
Volatility Bands & Envelopes
- Bollinger Bands: middle = 20-period SMA; upper/lower = middle ± 2σ of price over 20 periods. Squeeze (bands contracting) precedes expansion. Price tagging the upper band in a strong uptrend is normal — not automatically a sell.
- Keltner Channels: middle = EMA(20); upper/lower = EMA(20) ± multiplier × ATR. Smoother than Bollinger.
- Donchian Channels: highest high / lowest low over N periods (e.g., 20). Used in classic trend-following systems (Turtle).
- ATR: Wilder’s smoothed average of true range over 14 periods. TR = max(H−L, |H−PrevClose|, |L−PrevClose|). Used for volatility-adjusted stops, position sizing, and breakout filters.
Pivot Points & Other Tools
- Pivot Points: PP = (H + L + C) / 3; S1, S2, R1, R2 derived from PP. Common in intraday futures and FX.
- Fibonacci retracements/extensions: 23.6, 38.2, 50, 61.8, 78.6% (covered in Trend section).
- Linear regression channel: best-fit line through prices with ±2 standard-error bands.
Signal Generation Patterns to Recognize
- Crossover: MA cross (golden/death); MACD vs signal line; Stochastic %K vs %D.
- Centerline: oscillator crosses zero (MACD, ROC) or 50 (RSI).
- Divergence: bullish/bearish, regular/hidden. Regular divergence signals reversal; hidden divergence signals continuation.
- Overbought/oversold reversion: most reliable in range-bound markets, weakest in strong trends.
- Breakout: Bollinger squeeze release, Donchian breakout.
Common questions
What is the default period for RSI?
What RSI levels are considered overbought and oversold?
What is a golden cross?
Why are moving averages considered lagging?
What does ADX measure?
What are the MACD’s three components?
What is a Bollinger Band squeeze?
How does On-Balance Volume work?
What is bullish divergence?
What is bearish divergence?
What is the default Bollinger Band setting?
What is the formula for the True Range?
What does VWAP represent?
What is the α for an EMA of length N?
What signal does +DI crossing above −DI give?
Why is combining many oscillators sometimes misleading?
What does Parabolic SAR do?
What is the Money Flow Index?
VI. Statistics for Technicians
Statistics gives technicians the language to describe data and reason about uncertainty. The two big buckets:
- Descriptive statistics: summarize a dataset. Central tendency (mean, median, mode), dispersion (range, variance, standard deviation, mean absolute deviation), and shape (skewness, kurtosis).
- Inferential statistics: draw conclusions about a population from a sample. Confidence intervals, hypothesis testing, p-values, type I (false positive) and type II (false negative) errors.
Normal distribution is symmetric, bell-shaped, and fully described by its mean and standard deviation. The 68-95-99.7 rule: 68% of observations fall within ±1σ, 95% within ±2σ, 99.7% within ±3σ. Financial returns are not normal — they exhibit fat tails (high kurtosis / leptokurtic) and often negative skew. Models that assume normality (e.g., classic VaR) systematically underestimate tail risk.
Correlation (r, −1 to +1) measures linear association. Covariance is the unscaled version. Regression fits a line to data; R² is the proportion of variance explained.
Backtest biases to memorize: overfitting/curve-fitting, survivorship bias, look-ahead bias, data-snooping (multiple comparisons), selection bias, time-period bias, ignoring transaction costs/slippage. Defenses: parsimonious models, out-of-sample testing, walk-forward analysis, sensitivity analysis, Monte Carlo.
Central Tendency
- Arithmetic mean: Σx / n. Sensitive to outliers.
- Median: the middle value when sorted. Robust to outliers.
- Mode: the most frequent value. Useful for categorical data and identifying multimodal distributions.
- Geometric mean: (∏(1 + r_i))^(1/n) − 1. Correct for averaging multi-period returns (compounded).
- Harmonic mean: used for averaging rates (e.g., average P/E across funds).
Dispersion
- Range: max − min.
- Variance (σ²): average of squared deviations from the mean. Σ(x − μ)² / N (population) or / (n − 1) (sample — Bessel’s correction).
- Standard deviation (σ): square root of variance; same units as data. The workhorse of risk measurement.
- Mean Absolute Deviation (MAD): Σ|x − mean| / n. Robust alternative to std dev.
- Coefficient of variation (CV): σ / μ. Unitless measure of relative variability.
Shape: Skewness & Kurtosis
- Skewness = asymmetry. Positive skew = long right tail (more occasional large gains; common in lottery-like assets). Negative skew = long left tail (occasional large losses; common in credit and short-vol strategies).
- Kurtosis = tail heaviness. Normal distribution has kurtosis = 3 (or excess kurtosis = 0). Leptokurtic = excess kurtosis > 0, fat tails (typical of equity returns). Platykurtic = excess kurtosis < 0, thin tails.
- Financial returns are leptokurtic and often negatively skewed. Extreme moves happen far more often than a normal distribution predicts.
Distributions
Probability Essentials
- Probabilities sum to 1.
- Independent events: P(A ∩ B) = P(A) × P(B).
- Conditional: P(A | B) = P(A ∩ B) / P(B).
- Bayes: P(A | B) = P(B | A) · P(A) / P(B).
- Expected value: E[X] = Σ x_i · P(x_i).
Correlation, Covariance, Regression
- Covariance: cov(x,y) = Σ(x − μ_x)(y − μ_y) / (n − 1). Sign tells direction; magnitude depends on scale.
- Correlation: r = cov(x,y) / (σ_x σ_y). Bounded in [−1, +1].
- Linear regression: y = a + bx + ε. Best-fit line minimizes squared residuals (Ordinary Least Squares).
- R²: proportion of variance in y explained by x. R² = r² in simple regression.
- Correlation ≠ causation; correlations can be spurious or regime-dependent.
Hypothesis Testing
- Set up a null hypothesis (H₀) and an alternative (H₁).
- Compute a test statistic; compare to a critical value (or compute a p-value).
- p < α (typically 0.05) ⇒ reject H₀.
- Type I error = false positive (reject true H₀). Type II error = false negative (fail to reject false H₀).
- Power = 1 − P(type II error).
Backtesting Biases & Defenses
| Bias | What it is | Defense |
|---|---|---|
| Overfitting / curve-fitting | Tuning many parameters until backtest looks great; captures noise | Parsimony, out-of-sample test, regularization |
| Survivorship bias | Universe excludes failed/delisted assets, inflating returns | Use point-in-time databases including delisted securities |
| Look-ahead bias | Using info not available at decision time (e.g., restated earnings) | Strict point-in-time data; lag fundamental data |
| Data-snooping / multiple comparisons | Testing many strategies; one looks great by chance | Bonferroni correction, deflated Sharpe ratio, hold out a final OOS |
| Selection bias in sample | Picking a flattering historical window | Test over full cycle including bear and bull phases |
| Time-period bias | Results dependent on specific dates | Walk-forward; rolling windows |
| Ignoring costs | Slippage and commissions destroy edge in high-turnover strategies | Realistic cost model; capacity analysis |
Common questions
What does standard deviation measure?
What does a correlation of −1 imply?
What is the 68-95-99.7 rule?
What is positive skew?
What is leptokurtosis?
Why use the geometric mean for returns?
What is overfitting?
What is survivorship bias?
What does R² in a regression measure?
What is a Type I error?
What is a Type II error?
What is the formula for the coefficient of variation?
What is the difference between descriptive and inferential statistics?
Why is financial-returns analysis sensitive to fat tails?
What is data-snooping bias?
What does Bessel’s correction (n−1) address?
VII. Behavioral Finance
Investors are not perfectly rational. Behavioral finance documents the cognitive and emotional biases that produce predictable patterns of mispricing, trend, and reversal. The foundational model is Prospect Theory (Daniel Kahneman & Amos Tversky, 1979), which replaced expected-utility theory’s assumption of pure rationality with three key empirical findings:
- Reference dependence: people evaluate outcomes relative to a reference point (often the purchase price), not absolute wealth.
- Loss aversion: losses hurt roughly 2× as much as equivalent gains feel good. The utility function is steeper for losses.
- Probability weighting: people overweight small probabilities (buy lottery tickets and insurance) and underweight large probabilities. The utility function is concave for gains and convex for losses (S-shaped).
Biases are usually split into cognitive (belief / information processing) and emotional categories. Cognitive biases are easier to correct with education and process. Emotional biases require restraint and rules.
Behavioral finance is the theoretical foundation for why technical analysis works: trends persist because investors herd, anchor, and follow momentum; reversals at extremes occur because emotional capitulation produces predictable crowd behavior; support and resistance form because anchoring and loss aversion create memory at those prices.
Prospect Theory in Detail
- Value function: S-shaped — concave for gains (diminishing sensitivity), convex for losses (also diminishing sensitivity, but loss side is steeper).
- Loss-aversion ratio: ~2 (a $100 loss feels like a $200 gain in reverse).
- Reference dependence: gains and losses are measured relative to a reference (often purchase price, or a recent high).
- Probability weighting function: people overweight low-probability events (lotteries, crashes) and underweight high-probability ones.
- Implications for trading: the disposition effect (sell winners early, hold losers), narrow framing (treating each trade in isolation), and mental accounting all flow from prospect theory.
Cognitive (Belief & Information) Biases
Emotional Biases
How Behavioral Biases Drive TA
- Trends persist because anchoring, recency, herding, and momentum chasing keep order flow aligned for longer than fundamentals would suggest.
- Support and resistance form because loss aversion and anchoring create memory at specific prices (people sell at break-even on a level they bought, creating supply).
- Reversals at extremes happen because the disposition effect, capitulation, and emotional exhaustion eventually flip the participant base.
- Bubbles emerge when herding and overconfidence dominate; panics emerge when loss aversion and availability dominate.
Common questions
Who developed prospect theory?
What is loss aversion?
What is the disposition effect?
What is herding behavior?
What is anchoring?
What is overconfidence in trading?
What does the prospect theory value function look like?
What is availability bias?
What is the framing effect?
What is mental accounting?
What is confirmation bias?
What is representativeness?
What is recency bias?
Why is behavioral finance considered foundational to TA?
VIII. Sentiment
Sentiment indicators measure the mood, opinion, and positioning of market participants. Their value comes mostly at extremes: when bullish or bearish opinion becomes one-sided, the marginal buyer or seller is exhausted, and reversal probability rises. At extremes, sentiment is typically contrarian; in the middle of a trend, sentiment is usually confirmatory and uninformative.
Sentiment indicators fall into four families:
- Survey-based: AAII (retail investors), Investors Intelligence (newsletter writers), Consensus Inc. / Market Vane (futures traders), NAAIM (active managers).
- Derivative / positioning: put/call ratio, VIX (as fear gauge), CFTC Commitments of Traders (COT), short interest, NAAIM exposure.
- Flow / activity: money market fund assets, mutual fund and ETF flows, margin debt, IPO supply and first-day pops, insider buy/sell transactions.
- Anecdotal / narrative: magazine covers, mainstream media coverage, taxi/Uber driver tip-giving.
Key interpretation rules:
- High put/call (fear) = bullish contrarian. Low put/call (complacency) = bearish contrarian.
- VIX spikes mark fear (often near lows). Sustained low VIX = complacency.
- Rising money market assets = sidelined cash = potential future buying power (bullish at extremes).
- Heavy insider selling at indices’ highs = late-cycle warning.
- Magazine covers mark consensus — classic contrarian.
Survey-Based Sentiment
- AAII (American Association of Individual Investors): weekly bull/bear/neutral survey of retail investors. Watch the bull-bear spread. Extremes (>40% bulls or >40% bears for several weeks) are contrarian.
- Investors Intelligence (II): weekly survey of investment newsletter writers. Bull/Bear ratio > 3 = extreme optimism; < 1 = extreme pessimism. Historically reliable at extremes.
- Consensus Inc. / Market Vane: futures-trader bullish consensus, %. Extremes > 70% or < 30% are watched.
- NAAIM Exposure Index: average equity exposure of active managers (range −200% to +200%). Highs and lows are contrarian.
- University of Michigan / Conference Board consumer confidence: macro mood; extremes precede recessions and recoveries.
Derivatives & Positioning
- Put/Call Ratio (P/C): total put volume / total call volume on an exchange (CBOE). Equity-only P/C < 0.5 = complacent, > 1.0 = fearful. Index P/C is structurally higher because of hedging.
- VIX (CBOE Volatility Index): 30-day implied vol of S&P 500 options. Heuristic ranges: <12 calm/complacent; 12–20 normal; 20–30 stress; >30 fear; >40 crisis. Spike + reversal candle on SPX often marks intermediate lows.
- VVIX: vol of the VIX itself; signals volatility-of-volatility regime.
- Commitments of Traders (COT): weekly CFTC report on futures positioning by commercials (hedgers), large speculators (managed money / funds), and small speculators. Extreme commercial vs. speculator positioning often precedes turns. Commercials tend to be right at extremes; small specs tend to be wrong.
- Short interest: total short shares / float. Rising short interest = bearish positioning. Very high short interest can lead to a short squeeze if price reverses.
- Short interest ratio (days to cover): short interest / average daily volume.
Flow & Activity
- Money market fund (MMF) assets: cash held outside risk assets. Rising MMF assets = potential future buying power (bullish at extremes).
- Mutual fund / ETF flows: net subscriptions vs redemptions. Large inflows often coincide with tops (the public arrives late).
- Margin debt: investor borrowing. Record highs reflect high risk appetite and leverage; subsequent contraction typically accompanies bear markets.
- IPO activity: heavy IPO supply with big first-day pops = late-cycle euphoria.
- Insider transactions: net insider buying = bullish; broad-based insider selling = bearish (though selling can be liquidity-driven so weight broad buying more).
- Cash levels in mutual funds: low cash = fully invested = limited dry powder; high cash = defensive positioning.
Anecdotal Sentiment
- Magazine covers: a story reaching mainstream cover status (Time, Newsweek, BusinessWeek, The Economist) typically marks late-stage consensus — a classic contrarian signal.
- “Cocktail party” / taxi-driver tip-giving: when non-professionals enthusiastically give stock tips, late-cycle behavior is signaled.
- Bookstore section size: too many books on a single sector or strategy = late-cycle.
Composite Sentiment Tools
- CNN Fear & Greed Index: composite of put/call, VIX, junk bond demand, market momentum, breadth, safe-haven demand, and stock-price strength. 0 = extreme fear; 100 = extreme greed. Extremes > 75 or < 25 are watched.
- SKEW Index: measures the perceived tail-risk priced into out-of-the-money SPX puts. Rising SKEW = fear of crash.
Common questions
Why are sentiment indicators considered contrarian?
What does a high put/call ratio suggest?
What does a low put/call ratio suggest?
What does rising short interest indicate?
How are rising money market fund assets interpreted?
Why are magazine covers used as sentiment?
What does the COT report show?
In the COT, which group tends to be right at extremes?
How is the VIX used as a sentiment tool?
What does heavy insider buying suggest?
What is the Investors Intelligence bull/bear ratio extreme that is watched?
What is the AAII survey and who does it measure?
What is the SKEW Index?
What does margin debt at record highs typically indicate?
What is the difference between equity-only and total put/call ratios?
IX. Cycle Analysis
Cycle analysis looks for recurring rhythms in market data. A cycle has four characteristics: amplitude (height from peak to trough), period (length of one cycle), phase (where in the cycle we currently are), and frequency (cycles per unit of time, = 1/period).
Cycles are tendencies, not guarantees. They can shift, fail, or shrink, and any observed cycle is the sum of multiple underlying cycles plus noise. Cycle analysis is most useful for timing context and should always be combined with price action and risk controls.
Key cycle principles (Hurst): summation, harmonicity, synchronicity, proportionality, variation, nominality.
Named cycles to recognize: Kitchin (~3-5 yr, inventory), Juglar (~7-11 yr, fixed investment / business cycle), Kuznets (~15-25 yr, infrastructure), Kondratiev (~45-60 yr, long wave), Presidential (4 yr U.S. equity), Decennial (10 yr U.S. equity), plus broad seasonality (“Sell in May,” Santa rally, January effect, turn-of-the-month effect).
Anatomy of a Cycle
- Amplitude: vertical distance from trough to peak. Bigger amplitude = larger moves.
- Period: time from trough to next trough (or peak to next peak).
- Phase: where in the cycle we are now — rising, topping, falling, or basing.
- Frequency: number of cycles per unit time (= 1 / period).
Hurst’s Cycle Principles
- Summation: any observed cycle is the sum of many underlying cycles of different periods.
- Harmonicity: cycles tend to be related by simple integer multiples (e.g., 2× or ½).
- Synchronicity: cycles of similar length across different markets tend to bottom at the same time.
- Proportionality: longer cycles have larger amplitudes.
- Variation: real cycles vary in period and amplitude around an ideal mean.
- Nominality: there is a “nominal” set of cycle periods that recur across markets (e.g., 80-day, 40-day, 20-day, 10-day cycles).
Named Cycles
| Cycle | Period | Driver |
|---|---|---|
| Kitchin | ~3–5 years | Inventory adjustments by firms |
| Juglar | ~7–11 years | Business cycle, fixed-capital investment |
| Kuznets | ~15–25 years | Demographics & infrastructure |
| Kondratiev (K-wave) | ~45–60 years | Long-wave economic / technological |
| Presidential | 4 years (U.S.) | Aligned with U.S. presidential term; historically weakest in year 2, strongest in year 3 |
| Decennial | 10 years (U.S.) | Years ending in 5 historically strong; years ending in 0 or 7 historically weak |
| Seasonal: Sell in May | 6 months | Nov–Apr historically strongest; May–Oct weaker |
| Santa rally | ~5 trading days | Late December / first 2 days of January |
| January effect | ~1 month | Small-cap January outperformance (largely attenuated post-2000) |
| Turn-of-the-month | ~4 days | Last/first few trading days of month historically strong |
Tools for Cycle Analysis
- Visual identification: peak-to-peak, trough-to-trough measurement on the chart.
- Detrended Price Oscillator (DPO): removes trend from price to isolate cyclical component. Plot of Close − SMA(N) shifted (N/2 + 1) periods back.
- Centered moving averages: smooth out cycles to reveal underlying trend.
- Spectral / Fourier analysis: decompose price into component frequencies. Identify dominant cycle periods.
- Cycle channels / envelopes: bands constructed around an ideal cycle path.
- MESA (Maximum Entropy Spectral Analysis): Ehlers’ adaptive cycle work.
Common questions
What does cycle analysis attempt to identify?
What are the four properties of a cycle?
What is the presidential cycle?
What is the Kondratiev wave?
What is the principle of summation?
What is the principle of synchronicity?
What is the principle of harmonicity?
What is seasonality?
What is the “Sell in May” effect?
What does a detrended price oscillator (DPO) show?
What is the biggest risk in cycle analysis?
What is the Juglar cycle?
X. Comparative Market Analysis & Intermarket
Comparative market analysis compares the performance of one security or group to another to identify leadership, laggards, and macro context. The core tool is the Relative Strength (RS) ratio — the price of an asset divided by a benchmark’s price (e.g., XLK / SPY). A rising RS line means the asset is outperforming; a falling RS line means it is underperforming. RS is distinct from RSI — RSI is a momentum oscillator on a single security, RS is a ratio between two securities.
Intermarket analysis studies the relationships between stocks, bonds, commodities, and currencies as a coherent macro system, originally popularized by John Murphy. The classic relationships (in normal regimes): stocks ↔ bonds (often correlated when growth is healthy, decorrelate in stress); bonds ↔ rates (inverse by construction); commodities ↔ dollar (typically inverse); commodities ↔ bonds (commodity inflation → rising rates → falling bonds); stocks ↔ commodities (cyclical interplay).
Sector rotation tracks how leadership shifts through the business cycle: early expansion — cyclicals (financials, consumer discretionary, technology, transports). Mid expansion — industrials, materials. Late expansion / peak — energy, materials, staples. Recession / contraction — defensive (utilities, staples, healthcare). The standard 11 GICS sectors are the trade vehicle.
Market breadth measures internal participation. Key tools: A/D line, new highs minus new lows, % of stocks above 50-day / 200-day MA, McClellan Oscillator and Summation Index, TRIN (Arms Index), up volume vs down volume. Healthy advances feature broad participation; narrow advances are warnings.
Bond market basics: bond prices and yields move inversely; duration measures price sensitivity to yield change; the yield curve (2s10s, 3m10y) is normal-upward in growth, inverted as a recession warning. Credit spreads (HY − Treasuries) widen in stress, tighten in risk-on.
Relative Strength (RS) — Not RSI
- RS ratio = numerator / denominator (e.g., stock / sector, sector / market, country / world).
- Trend in the RS line matters more than the absolute level.
- Use to find leadership rotation (which sectors / countries / styles are outperforming), and to evaluate single-stock alpha vs its sector.
- Common pairings: small cap (IWM) vs large cap (SPY); growth (IWF) vs value (IWD); cyclicals vs defensives; high-beta vs low-vol.
- An RS line breaking out (new highs) before the absolute price line is a leadership signal.
Intermarket Relationships (general / long-run)
| Pair | Typical relationship | Notes / regime caveat |
|---|---|---|
| Bond price ↔ Yield | Inverse by construction | Higher yields = lower bond prices. |
| Stocks ↔ Bonds | Often positively correlated in disinflation; negatively correlated in deflation/stress | Regime-dependent. 2022 saw stocks and bonds fall together. |
| USD ↔ Commodities | Typically inverse | Weak dollar lifts commodities; strong dollar pressures. |
| Commodities ↔ Bonds | Rising commodities → inflation → rising rates → falling bonds | Strong relationship in inflationary cycles. |
| Stocks ↔ Commodities | Cyclical; both rise in growth expansions, diverge in stagflation | Depends on whether growth or inflation is dominant. |
| Gold ↔ Real yields | Inverse (gold rises when real yields fall) | Gold is a hedge against falling real rates and currency debasement. |
| Gold ↔ USD | Typically inverse | Weak dollar lifts gold. |
| Energy stocks ↔ Crude oil | Positive (lagged) | Earnings sensitivity to oil prices. |
Sector Rotation Through the Business Cycle
- Early expansion (recovery): financials, consumer discretionary, technology, transports. Falling rates, rising risk appetite.
- Mid expansion: industrials, basic materials. Capital expenditure and demand rising.
- Late expansion / peak: energy, materials, consumer staples begin to outperform; inflation pressures rise.
- Recession / contraction: defensives lead — utilities, consumer staples, healthcare. Earnings stability matters.
- Early recovery: cyclicals reassert leadership; the cycle restarts.
The 11 GICS Sectors (the trading universe)
- Communication Services (XLC), Consumer Discretionary (XLY), Consumer Staples (XLP), Energy (XLE), Financials (XLF), Health Care (XLV), Industrials (XLI), Information Technology (XLK), Materials (XLB), Real Estate (XLRE), Utilities (XLU).
Market Breadth Indicators
Bonds & Fixed Income (essentials)
- Inverse relationship: bond prices fall when yields rise, and vice versa.
- Duration: bond price sensitivity to a 1% change in yields. Longer maturity, lower coupon = higher duration.
- Yield curve: plot of yield vs maturity. Normal = upward sloping; flat = late-cycle warning; inverted = recession warning (especially 2s10s, 3m10y).
- Credit spreads: HY (high-yield) yield minus Treasury yield. Widening = stress; tightening = risk-on.
- TED spread: 3-mo LIBOR minus 3-mo T-bill. Stress indicator (largely historical).
- Bond market vs stock market: bond market is much larger; bond signals often precede equity turns.
Currencies (essentials)
- DXY (U.S. Dollar Index): trade-weighted basket vs major currencies (EUR ~58%, JPY, GBP, CAD, SEK, CHF).
- Dollar strength: typically pressures commodities, EM equities, USD-denominated foreign assets.
- Carry trade: borrow in low-yielding currency (e.g., JPY), invest in high-yielding currency (e.g., MXN, BRL). Unwinds during risk-off (currency vol spikes).
Common questions
What does relative strength (RS) compare?
How is relative strength different from RSI?
What does a rising RS line indicate?
Which sectors typically lead in early expansion?
Which sectors typically lead during a recession?
What does the Advance/Decline line measure?
How do bond prices and yields relate?
What is an inverted yield curve?
What is the typical relationship between the U.S. dollar and commodities?
What does the McClellan Oscillator measure?
What is TRIN (Arms Index)?
Why analyze market breadth?
What is duration?
What are credit spreads?
What is the DXY?
What is the typical gold-dollar relationship?
What does it mean if the RS line breaks out before the price line?
XI. Volatility Analysis
Volatility measures the degree of price variability around a mean — not direction. It is the most important input to options pricing, risk budgeting, and position sizing.
Three flavors to distinguish:
- Realized (historical / statistical) volatility — computed from past returns. Typically the annualized standard deviation of log returns: σ_annual = σ_daily × √252.
- Implied volatility (IV) — the volatility input that makes an option pricing model (Black-Scholes) match the option’s market price. Reflects the market’s expectation of future volatility.
- Forward / expected volatility — the volatility expected over a specific future window (e.g., the VIX is the 30-day expected SPX vol).
VIX (CBOE Volatility Index): 30-day implied volatility of S&P 500 index options, expressed as an annualized %. Calculated from a strip of out-of-the-money SPX puts and calls. Often called the “fear gauge” because it spikes when investors bid up options to hedge.
Key behaviors of volatility:
- Clustering — high-vol periods follow high-vol periods (Mandelbrot, Engle ARCH/GARCH).
- Mean reversion — volatility tends to return to its long-run average.
- Asymmetry (leverage effect) — in equities, volatility typically spikes when prices fall; equity vol and equity returns are negatively correlated.
- Non-directional — high vol does not by itself tell you the direction.
Volatility skew / smile: implied volatility differs across strikes. In equity indexes, out-of-the-money puts typically have higher IV than ATM or calls (the “skew”) because of crash hedging demand. In FX, IV is often more symmetric (the “smile”).
Realized Volatility
- Standard deviation of log returns over a lookback window.
- Annualization factor: √252 for daily; √52 for weekly; √12 for monthly.
- Common windows: 20-day, 60-day, 252-day.
- Realized vol is backward-looking; useful for risk reporting and as a baseline for comparing IV.
Implied Volatility (IV)
- Derived from market option prices by inverting Black-Scholes.
- Inputs that move IV: underlying expected variability, time to expiration, supply/demand for options, hedging activity.
- IV is forward-looking; the market’s consensus view of future vol.
- IV minus realized vol (vol premium): tends to be positive on average (options are slightly “rich”), but compresses or inverts in crises.
VIX in Depth
- Calculated from a wide strip of out-of-the-money SPX puts and calls, weighted by strike and expiration.
- Reports as an annualized percentage — e.g., VIX 20 means options imply ~20% annualized SPX vol over the next 30 days, or ~1.25% expected daily move (20 / √252 ≈ 1.26).
- Heuristic ranges: <12 calm/complacent; 12–20 normal; 20–30 elevated; 30–40 stress; >40 crisis.
- Historical extremes: dotcom bust ~46; 2008 GFC peak ~89; COVID March 2020 peak ~82.
- VIX is negatively correlated with SPX ~−0.75 to −0.85; VIX usually spikes during market declines, not before.
- VIX term structure: VIX front month vs VX futures further out. Normal = contango (front below back). Inverted = backwardation (front above back) = stress signal.
- VVIX: vol of VIX; signals how nervous the vol market itself is.
ATR & Volatility-Based Stops
- True Range: max(H−L, |H−PrevClose|, |L−PrevClose|).
- ATR: Wilder’s smoothed average of TR over 14 periods.
- Uses: position sizing (risk per trade = N×ATR), trailing stops (chandelier exit = high − 3×ATR), breakout filters.
Bollinger Bands & Volatility Squeeze
- Middle = 20-period SMA; upper/lower = SMA ± 2σ of price over 20 periods.
- Squeeze: bandwidth (upper−lower) at a low percentile of its history; signals coming expansion.
- Tagging the upper band in a strong uptrend is not automatically a sell — it can be a sign of strength.
- %B = (Price − Lower) / (Upper − Lower). >1 = above upper band; <0 = below lower band.
- Bandwidth = (Upper − Lower) / Middle. Used to spot squeezes.
Volatility Skew & Term Structure
- Skew: difference in IV across strikes at one expiration. Equity skew typically downside-tilted (OTM puts > ATM IV > OTM calls).
- SKEW Index: CBOE measure of perceived crash risk from far OTM SPX puts.
- Smile: more symmetric U-shaped IV (typical in FX).
- Term structure: IV across expirations (e.g., 30-day vs 90-day). Steep upward sloping = calm; flat or inverted = stress.
Common questions
What does volatility measure?
What is implied volatility?
What does the VIX measure?
What is the annualization factor for daily volatility?
What is ATR used for?
What is volatility skew?
What does Bollinger Band expansion indicate?
What is a Bollinger Band squeeze?
Why is the VIX called the “fear gauge”?
What is volatility clustering?
What is the VIX term structure’s normal shape?
What is the leverage effect in volatility?
What is the SKEW Index?
What is the relationship between VIX and SPX?
How is implied volatility typically distributed compared to realized volatility on average?
XII. Systems & Quantitative Methods
A trading system is a rules-based process for entries, exits, position sizing, and risk control. Systematic / quantitative approaches remove discretion in favor of repeatability and measurement. The quantitative process — memorize the order:
- Hypothesis: a clear, testable idea grounded in market behavior or theory.
- Data: point-in-time, survivorship-bias-free, with proper corporate-action handling and futures roll adjustment.
- Model / signal construction: implement the hypothesis as deterministic rules.
- Backtest: realistic transaction costs, slippage, capacity, position sizing, and risk controls.
- Validation: out-of-sample test, walk-forward analysis, sensitivity to parameters, Monte Carlo robustness.
- Risk & portfolio context: drawdown limits, position limits, correlation across signals, leverage.
- Implementation: paper-trade, then deploy with small size, scale up.
- Monitoring: live performance attribution, regime checks, periodic re-validation.
Pitfalls to memorize: overfitting / curve-fitting, survivorship bias, look-ahead bias, data-snooping, ignoring transaction costs, regime change, capacity constraint, selection bias in sample window. The best defense is parsimony (few parameters), out-of-sample testing, walk-forward analysis, and Monte Carlo trade resampling.
Core risk metrics: Sharpe ratio (excess return / total vol), Sortino (excess return / downside vol), Calmar (annual return / max drawdown), Max Drawdown, MAR ratio, profit factor (gross profit / gross loss), expectancy ((win% × avg win) − (loss% × avg loss)).
Position sizing methods: fixed-fractional (risk a fixed % of equity per trade), fixed-dollar, volatility-adjusted (e.g., N units of ATR per trade), Kelly criterion (mathematically optimal fraction; typically used at fractional Kelly — e.g., half-Kelly — in practice).
Why Systematize?
- Removes emotion and inconsistent execution.
- Makes performance measurable, attributable, and repeatable.
- Forces explicit risk control (stops, sizing, exposure limits).
- Enables backtesting and parameter robustness checks.
- Scales across instruments and time frames.
The Quantitative Process (in order)
- Hypothesis: e.g., “Stocks that are above their 200-day SMA and in the top 20% RS over 6 months outperform in the following month.” Must be falsifiable.
- Data: source equities universe (with delisted names), futures continuous contracts (back-adjusted), point-in-time fundamentals if relevant. Strip survivorship bias.
- Signal construction: code the rules. Include long/short/flat states.
- Backtest: realistic assumptions — bid/ask spread, commissions, market-impact model, capacity (% of ADV), borrow costs for shorts. Include warm-up period.
- Validation: in-sample / out-of-sample split (e.g., 70/30); walk-forward analysis (re-fit on rolling window, test on next window); sensitivity (vary parameters ±25%; results should be stable); Monte Carlo trade resampling.
- Risk overlay: max drawdown limit, max position concentration, portfolio vol target, leverage cap, correlation budget across signals.
- Paper trading / live with small size: catch implementation issues (order routing, data lag).
- Monitoring: live Sharpe vs backtested Sharpe, drawdown vs expected, regime classification, decay detection. Re-validate quarterly or after major regime shifts.
Common Pitfalls (memorize this list)
| Pitfall | What it is | Defense |
|---|---|---|
| Overfitting / curve-fitting | Too many parameters tuned to noise | Parsimony; few parameters; cross-validation |
| Survivorship bias | Excluding delisted assets | Use point-in-time database including delistings |
| Look-ahead bias | Using info not available at decision time | Strict point-in-time data; lag fundamentals |
| Data-snooping | Trying many strategies; one wins by chance | Deflated Sharpe; reserved final OOS; multiple-testing correction |
| Selection bias / Time-period bias | Flattering sample window | Test full cycle (bull + bear) |
| Ignoring costs | Slippage and commissions erase edge | Realistic cost model; capacity test |
| Regime change | Strategy fails in new regime | Regime classifier; multi-strategy diversification |
| Capacity | Edge disappears at scale due to market impact | Cap position size at % of ADV; market-impact model |
| Snooping the backtest | Iterating on the backtest until OOS is “clean” | Strict pre-registration of rules; locked OOS |
Validation Tools
- In-sample vs out-of-sample split: e.g., 70% IS / 30% OOS. Fit on IS only; test on OOS.
- Walk-forward analysis: re-fit parameters on a rolling in-sample window; test on the next out-of-sample window; advance and repeat.
- Sensitivity analysis: vary parameters ±10–25%; results should remain stable. A strategy whose Sharpe collapses when a parameter moves slightly is overfit.
- Monte Carlo: randomize trade order or returns to gauge robustness of drawdowns and equity curves.
- Bootstrap: resample returns with replacement to derive confidence intervals on Sharpe, drawdown, etc.
- Stress testing: simulate historical crisis windows (1987, 1998 LTCM, 2008 GFC, 2020 COVID, 2022 inflation shock).
Core Risk & Performance Metrics
| Metric | Formula intuition | What it measures |
|---|---|---|
| Sharpe ratio | (Return − Rf) / σ | Excess return per unit of total volatility |
| Sortino ratio | (Return − Rf) / downside σ | Like Sharpe but penalizes only downside vol |
| Calmar ratio | Annual return / Max Drawdown | Return per unit of max drawdown |
| MAR ratio | CAGR / Max Drawdown | Similar to Calmar over longer horizons |
| Max Drawdown (MDD) | Largest peak-to-trough % | Pain measure / risk of ruin |
| Profit factor | Gross profit / Gross loss | >1 = profitable; >1.5 typically considered good |
| Expectancy | (win% × avg win) − (loss% × avg loss) | Average dollars per trade |
| Win rate | Winners / total trades | Useful only combined with payoff ratio |
| Payoff ratio | Avg win / Avg loss | Must offset low win rate for trend strategies |
Position Sizing
- Fixed dollar: risk $X per trade. Simple but ignores account growth.
- Fixed fractional: risk a fixed % of equity (e.g., 1% per trade). Account compounds.
- Volatility-adjusted: position size = (Risk $ per trade) / (N × ATR per share). Normalizes risk across instruments.
- Kelly criterion: f* = (p × b − q) / b, where p = win%, q = 1−p, b = payoff ratio. Mathematically optimal; in practice, use fractional Kelly (e.g., half-Kelly) to reduce drawdown.
Common questions
What is the first step of the quantitative process?
What is walk-forward analysis?
What is the danger of optimizing many parameters?
Why must transaction costs be included in backtests?
What does the Sharpe ratio measure?
What does the Sortino ratio measure?
What does the Calmar ratio measure?
What does max drawdown measure?
What is regime change in systematic trading?
Why does context matter in quantitative analysis?
What is the Kelly criterion?
Why is fractional Kelly used in practice?
What is the profit factor?
What is expectancy?
What is volatility-adjusted position sizing?
Why use Monte Carlo simulation on backtests?
Final 24-Hour Checklist
High-yield numbers and definitions to lock in
- Three core TA assumptions: discount, trend, repeat.
- Dow Theory’s six tenets and three trend phases (accumulation / public participation / distribution).
- Definitions: support, resistance, uptrend (HH/HL), downtrend (LH/LL), polarity (broken support becomes resistance).
- Identify on sight: H&S, inverse H&S, double top/bottom, triangles (sym/asc/desc), flag, pennant, rectangle, cup & handle.
- Default settings: RSI 14 (OB 70/OS 30), MACD 12/26/9, BBands 20/2, ADX 14 (trending > 25), Stochastics 14/3/3 (OB 80/OS 20), ATR 14, CCI 20.
- Golden cross (50 MA > 200 MA) / death cross definitions.
- Fibonacci retracements: 23.6, 38.2, 50, 61.8, 78.6%. Golden ratio = 61.8%.
- Normal-distribution rule (68/95/99.7) and what skew/kurtosis mean. Returns are leptokurtic, often negatively skewed.
- Loss aversion ratio ~2:1. Prospect theory: S-shaped value function.
- VIX = 30-day implied vol of SPX options. <12 complacent, 20+ stressed, 30+ fear, 40+ crisis. Annualization factor for daily vol = √252.
- Intermarket: bonds inverse to yields; dollar usually inverse to commodities; gold inverse to real yields.
- Sector rotation: early (cyclicals: discretionary, tech, financials) → mid (industrials, materials) → late (energy, staples) → recession (utilities, staples, healthcare).
- Sentiment extremes are contrarian. P/C high = bullish; magazine covers = late-stage consensus; MMF assets rising = sidelined cash.
- Backtest pitfalls: overfit, survivorship, look-ahead, data-snooping. Defense = walk-forward + parsimony + OOS.
- Risk metrics: Sharpe = excess / total vol; Sortino = excess / downside vol; Calmar = return / max DD; profit factor = gross profit / gross loss.
- Charter requirements: pass I/II/III + 3 yrs experience + Member in good standing + Code & Standards + sponsorship.
- Ethics: 7 Standards. Mosaic theory OK; trading on material non-public info NOT OK. Priority of transactions: clients > employer > personal.
Exam-day tactics
- Pace = 132 questions in 120 minutes ≈ 54 seconds per question. Don’t camp on any single item more than ~90 seconds.
- Plan 4 passes: (1) fast pass answering every easy item; (2) work the medium items; (3) tackle the hard items; (4) review flagged items in the final ~10 minutes.
- Flag and move on whenever you’re uncertain. Return at the end.
- Eliminate absolutist answers (“always,” “never,” “guarantees,” “automatically”) first.
- If two options look right, pick the one that better matches the specific language of the CMT curriculum.
- Trust your first instinct unless you find a clear contradiction.
- Answer every question — there is no penalty for guessing.
- Arrive 30 minutes early with valid photo ID. No personal items in the testing room.