Level 4 — ApplicationCharts, Trends & Dow Theory

Charts, Trends & Dow Theory

60 minutes50 marksprintable — key stays hidden on paper

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:

40  (low),  52  (high),  46  (low),  60  (high),  55  (low),  58  (high)40 \;(\text{low}),\; 52 \;(\text{high}),\; 46 \;(\text{low}),\; 60 \;(\text{high}),\; 55 \;(\text{low}),\; 58 \;(\text{high})

(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 (t=2, price=30)(t=2,\ \text{price}=30) and point B at (t=6, price=42)(t=6,\ \text{price}=42).

(a) Determine the equation of the trendline (price as a function of tt). (3)

(b) A parallel channel line passes through a swing high at (t=4, price=44)(t=4,\ \text{price}=44). 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 t=10t=10. (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 m=423062=124=3m = \dfrac{42-30}{6-2} = \dfrac{12}{4}=3. (1) Using point A: P=30+3(t2)=3t+24P = 30 + 3(t-2) = 3t + 24. (2)

(b) Parallel ⇒ same slope 3. Through (4,44)(4,44): 44=3(4)+cc=3244 = 3(4)+c \Rightarrow c = 32. Channel line: P=3t+32P = 3t + 32. (2) Channel width = difference in intercepts = 3224=1232 - 24 = 12 (vertical). (2)

(c) At t=10t=10:

  • Support (trendline): 3(10)+24=543(10)+24 = 54. (1.5)
  • Resistance (channel): 3(10)+32=623(10)+32 = 62. (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: 2010=1020-10=10 vs 6050=1060-50=10equal in appearance. (1)
  • Log chart plots percentage change: 1020=+100%10\to20 = +100\%; 5060=+20%50\to60 = +20\%. (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)"}
]