Charts, Trends & Dow Theory
Level: 4 — Application (novel problems, no hints) Time limit: 60 minutes Total marks: 50
Question 1 — Reading OHLC & Candle Construction (10 marks)
A stock prints the following daily OHLC data:
| Day | Open | High | Low | Close |
|---|---|---|---|---|
| Mon | 100 | 108 | 98 | 106 |
| Tue | 106 | 107 | 99 | 100 |
| Wed | 100 | 104 | 96 | 103 |
(a) For each day, state whether the candle body is bullish or bearish, and compute the body size and the total range (High − Low). (6)
(b) Compute the upper wick and lower wick length for Tuesday. What does this wick structure suggest about the intraday battle between buyers and sellers? (4)
Question 2 — Trend Identification & HH/HL Logic (12 marks)
The sequence of successive swing points (in order) for an instrument is:
(a) Classify each swing (after the first two) as higher-high (HH), higher-low (HL), lower-high (LH), or lower-low (LL). (4)
(b) State whether the market is in an uptrend, downtrend, or has shown a structural warning of a trend change. Justify using Dow/HH-HL logic. (4)
(c) The last high (58) failed to exceed the prior high (60). Explain precisely what price level the next swing low must break to confirm a trend reversal. (4)
Question 3 — Trendlines, Channels & Projection (10 marks)
An uptrend line connects two swing lows: point A at and point B at .
(a) Determine the equation of the trendline (price as a function of ). (3)
(b) A parallel channel line passes through a swing high at . Give the equation of the channel line and the channel width (vertical distance). (4)
(c) Assuming the channel holds, project the expected support (trendline) price and resistance (channel) price at . (3)
Question 4 — Volume Confirmation & Dow Theory (10 marks)
Over three consecutive rallies to new price highs, the following data is recorded:
| Rally | New Price High? | Volume vs. prior rally |
|---|---|---|
| 1 | Yes | baseline |
| 2 | Yes | +15% |
| 3 | Yes | −30% |
(a) State the Dow Theory tenet concerning volume and explain what the Rally-3 pattern signals. (4)
(b) Dow Theory requires trend confirmation across two indices. If the Industrials make a new high on Rally 3 but the Transports fail to make a new high, what is the technical interpretation? Name this condition. (3)
(c) Give two distinct reasons why an analyst should treat Rally 3 with caution before acting. (3)
Question 5 — Log vs Linear Scales & Multi-Timeframe (8 marks)
(a) A stock rises from $10 to $20, then later from $50 to $60. On a linear chart, which move appears larger? On a log chart, which appears larger? Justify with the relevant percentage calculations. (5)
(b) A weekly chart shows a clear primary uptrend, while the daily chart shows a downtrend. Using multi-timeframe logic, classify the daily move within Dow Theory's trend hierarchy and state the recommended trading bias. (3)
Answer keyMark scheme & solutions
Question 1 (10 marks)
(a) Bullish if Close > Open, bearish if Close < Open. Body = |Close − Open|, Range = High − Low. (6 = 2 per day)
| Day | Type | Body | Range |
|---|---|---|---|
| Mon | Bullish (106>100) | 6 | 10 |
| Tue | Bearish (100<106) | 6 | 8 |
| Wed | Bullish (103>100) | 3 | 8 |
Why: the body reflects net directional conviction; the range reflects total volatility. (½ correct type + ½ body + ½ range ≈ round to 2 each.)
(b) Tuesday: body spans Open 106 (top) to Close 100 (bottom, since bearish).
- Upper wick = High − Open = 107 − 106 = 1 (1 mark)
- Lower wick = Close − Low = 100 − 99 = 1 (1 mark)
- Interpretation: small wicks + large body relative to range means sellers dominated the whole session with little rejection at extremes — a decisive bearish day, sellers in control. (2 marks)
Question 2 (12 marks)
(a) Compare each swing to the same-type prior swing. (4 = 1 each)
- 46 (low) vs 40 (low) → HL
- 60 (high) vs 52 (high) → HH
- 55 (low) vs 46 (low) → HL
- 58 (high) vs 60 (high) → LH
(b) The series HL → HH → HL indicates a healthy uptrend. However, the final swing (58 < 60) is a Lower High, the first structural warning of possible trend change / loss of momentum. (2 for uptrend up to that point, 2 for identifying the LH warning)
(c) A confirmed reversal (to downtrend) requires the price to break below the most recent higher-low, which is 55. Breaking below 55 produces a lower-low, and combined with the LH at 58, gives the LH + LL sequence that defines a downtrend. (2 for level = 55, 2 for reasoning)
Question 3 (10 marks)
(a) Slope . (1) Using point A: . (2)
(b) Parallel ⇒ same slope 3. Through : . Channel line: . (2) Channel width = difference in intercepts = (vertical). (2)
(c) At :
- Support (trendline): . (1.5)
- Resistance (channel): . (1.5)
Question 4 (10 marks)
(a) Tenet: "Volume must confirm the trend." In an uptrend, volume should expand on advances. Rally 3 makes a new high on falling volume (−30%) — a bearish divergence; the advance lacks participation/conviction, suggesting the uptrend is weakening and may be near exhaustion. (2 tenet + 2 interpretation)
(b) Tenet: "The averages must confirm each other." Industrials new high but Transports failing = non-confirmation (divergence between the two averages), which under Dow Theory undermines the validity of the new high and warns of a potential top. (2 + 1 for naming non-confirmation)
(c) Any two: (1.5 each)
- Volume divergence signals weak demand behind the move.
- Averages non-confirmation removes Dow-Theory validation of the breakout.
- Higher risk of a false breakout / bull trap; unfavourable risk-reward; wait for confirmation.
Question 5 (8 marks)
(a)
- Linear chart plots absolute change: vs — equal in appearance. (1)
- Log chart plots percentage change: ; . (2)
- On a log chart the $10→$20 move appears larger (100% > 20%), correctly reflecting proportional growth. (2)
(b) Under Dow Theory the higher timeframe (weekly) defines the primary trend (up); the daily downtrend against it is a secondary (corrective / reaction) trend. (2) Recommended bias: trade with the primary — treat the daily pullback as a potential buying opportunity, not a short setup. (1)
[
{"claim":"Tuesday body=6, range=8, wicks 1 and 1","code":"O,H,L,C=106,107,99,100; body=abs(C-O); rng=H-L; up=H-O; low=C-L; result=(body==6 and rng==8 and up==1 and low==1)"},
{"claim":"Trendline through (2,30),(6,42) is P=3t+24","code":"t=symbols('t'); m=(42-30)/(6-2); line=m*(t-2)+30; result=(simplify(line-(3*t+24))==0)"},
{"claim":"Channel line through (4,44) parallel slope3 is 3t+32; width 8-diff... =12","code":"c=44-3*4; width=32-24; result=(c==32 and width==12)"},
{"claim":"At t=10 support=54, resistance=62","code":"sup=3*10+24; res=3*10+32; result=(sup==54 and res==62)"},
{"claim":"Percentage moves 100% and 20%","code":"p1=(20-10)/10*100; p2=(60-50)/50*100; result=(p1==100 and p2==20)"}
]