Searching for Head and Shoulders Bottom Patterns under PDF

22 בדצמ׳ 2014 (2000) analyse the predictive power of head-and-shoulders (HS) patterns in the U.S. stock market. The algorithms in both studies ignore the ...

Searching for Head and Shoulders Bottom Patterns under

Head and Shoulders Bottom Pattern (HSBP) is a recognised chart pattern used in technical analysis. It is an important reversal pattern which has the ability for.

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the head of the head-and-shoulders pattern. In this interval the average residuals are uniformly quite small

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What is the rule of head and shoulders pattern?
The head and shoulders pattern forms when a stock's price rises to a peak and then declines back to the base of the prior up-move. Then, the price rises above the previous peak to form the "head" and then declines back to the original base.
Does head and shoulders pattern work?
The head and shoulders chart depicts a bullish-to-bearish trend reversal and signals that an upward trend is nearing its end. The pattern appears on all time frames and can, therefore, be used by all types of traders and investors.
If you find a head and shoulders where the neckline moves from the top left to the bottom right, you may want to stay on the sidelines. It's a sign of a “weak” reversal pattern. And while you may still enjoy a favorable outcome, the odds aren't in your favor._{5 jan. 2023}

1 2

1. Introduction ...................................................................................................................... 4

1.1 Introduction of previous works on HSBP ....................................................................... 4

1.2 Research Aim and Objectives ......................................................................................... 6

1.3 The contributions of this research ................................................................................... 7

1.4 The experiment of this project ........................................................................................ 7

2. Background ....................................................................................................................... 8

2.1 Early development of technical analysis ......................................................................... 8

2.2 Technical analysis with computer application .............................................................. 11

3. Literature Review ................................................................................................................ 15

3.1 Previous Work ............................................................................................................... 15

3.2 Chart .............................................................................................................................. 15

3.2.1 Line Charts ............................................................................................................. 16

3.2.2 Bar Charts ............................................................................................................... 17

3.2.3 Candlestick Chart ................................................................................................... 18

3.3 Trends and Price Movements ........................................................................................ 19

3.4 Chart Pattern.................................................................................................................. 20

3.5 Reversal Chart Patterns ................................................................................................. 20

3.6 Head and Shoulders Pattern .......................................................................................... 21

3.6.1 Head and Shoulders Bottom Pattern (HSBP) ......................................................... 21

3.7 Directional Change ........................................................................................................ 23

3.7.1 Directional Change (DC) events ............................................................................ 24

3.7.2 A more formal definition of DC ............................................................................. 25

3.7.3 The process of Directional Change ........................................................................ 26

4. Head and Shoulders Bottom Pattern (HSBP) Conditions with Directional Change ............ 28

4.1 The current issues for searching for Head and Shoulders Bottom Pattern .................... 28

4.2 The methodology for recognising Head and Shoulders Bottom Pattern(HSBP) .......... 29

4.3 DC Extreme Point with HSBP ...................................................................................... 29

4.4 Head and Shoulders Bottom Pattern Conditions ........................................................... 31

4.5 Head and Shoulders Trading Strategy ........................................................................... 35

5. Experiments: Trading Under HSBP ...................................................................................... 41

5.1 DCC: From raw data to Directional Changes ............................................................... 43

5.2: HSBP_Detector: From DCs to Potential HSBP ........................................................... 47

5.2.1 A review of HSBP Conditions with an example .................................................... 47

5.2.2 Scanning for potential HSBPs ................................................................................ 51

5.3 HSBP_Strategy: Evaluating HSBP trading strategy ..................................................... 54

5.3.1 An example of HSBP trading strategy Li-1, with the module of HSBP_Strategy . 56

5.4 An overview of SH-1 workflow .................................................................................... 63

5.5 Result ............................................................................................................................ 64

6. Discussion ............................................................................................................................ 67

6.1 The advantage of DC in the definition of HSBP ........................................................... 67

6.2 Different thresholds produce different number of potential HSBPs. ............................ 68

6.3 Uncommon HSBPs ....................................................................................................... 69

6.4 Comparison to previous work ....................................................................................... 71

7. Conclusion ........................................................................................................................... 73

7.1 The significance of this thesis ....................................................................................... 73

7.2 Future works.................................................................................................................. 74

REFERENCE .............................................................................................................................. 76

APPENDIX ................................................................................................................................ 78

4 1.

1.1 Introduction of previous works on HSBP

5 d 6

1.2 Research Aim and Objectives

This research aims to propose a rigorous definition of Head and Shoulders Bottom Patterns (HSBP) based on the method of Directional Change. Having a precise definition of HSBP will then allow us to evaluate the effectiveness of a HSBP based trading strategy. This thesis proposes the following steps to realise our objective of

HSBP definition.

1. 2. 3. 7 4.

1.3 The contributions of this research

1. 2.

1.4 The experiment of this project

8 2.

2.1 Early development of technical analysis

Richard W. Schabacker comprehensively

introduced Technical Analysis in Charts and Patterns in his trading class and books [20, 21]. He 10 Also, Schabacker thought the study of chart reading aimed to discover and summarise the standard chart patterns which frequently and unanimously appear. These standard chart patterns help analysts forecast future price movement. In addition, he made great contributions to the development of technical chart patterns. Some famous patterns such as Triangle and Head and Shoulders Patterns were created by him. One of the other important contributions in the history of technical analysis was Technical Analysis of Stock Trends which was published by Edwards and Magee in

1948 [6]. Edwards and Magee, based on the research of Richard W. Schabacker and

their extensive experience, discussed several significant chart patterns in particular, which not only introduced the basic concepts of these patterns but also illustrated the practical application of technical patterns with the trading strategies. They discussed how the reversal patterns like Head and Shoulders Patterns were formed, and why there needs to be time to form a standard pattern. Particularly, the authors illustrated the reasons through the points of view of trading behaviour and market psychology to present the trading processes between the buyers and sellers, and finally the result of the formation of a particular pattern in a time period. And many technical manuals have continued to introduce the theory of technical chart patterns based on the works of Richard W. Schabacker and Edwards and Magee [6, 20]. 11

2.2 Technical analysis with computer application

12 13 14 15

3.1 Previous Work

3.2 Chart

3.2.1 Line Charts

3.2.2 Bar Charts

3.2.3 Candlestick Chart

3.3 Trends and Price Movements

3.4 Chart Pattern

3.5 Reversal Chart Patterns

3.6 Head and Shoulders Pattern

3.6.1 Head and Shoulders Bottom Pattern (HSBP)

3.6.1.1 Left Shoulder

3.6.1.2 Head

3.6.1.3 Right shoulder

3.6.1.4 Neckline

3.7 Directional Change

3.7.1 Directional Change (DC) events

3.7.2 A more formal definition of DC

3.7.3 The process of Directional Change

27
28

4.1 The current issues for searching for Head and Shoulders

Bottom Pattern

4.2 The methodology for recognising Head and Shoulders

Bottom Pattern(HSBP)

4.3 DC Extreme Point with HSBP

30
Figure 9. An example of DC summarises with the seven EPs. 31

4.4 Head and Shoulders Bottom Pattern Conditions

32
33
34

Figure 10. An example of a valid HSBP.

35
Figure 11. Example of a non-HSBP; Condition 5 is not met Įȕ too big Įȕgap between AveEP35 and EP4).

Figure 12. Example of a non-Įȕ

Į ȕgap between AveEP35 and EP4).

4.5 Head and Shoulders Trading Strategy

36
Figure 13. An example that the EP7 is confirmed by a certain threshold, while the event of penetrating the neckline has determined before determining the EP7. 37

Richard W. Schabacker and Edwards

and Magee that a long position is opened following the event of penetrating the neckline. Hence, 38
39
40
41
42
43

5.1 DCC: From raw data to Directional Changes

44
45

Figure 15. An example for DCC process.

Figure 16. An example for the workflow of DCC.

46
1. 2. 3. 4. 5. 6. 7. 47

5.2: HSBP_Detector: From DCs to Potential HSBP

5.2.1 A review of HSBP Conditions with an example

48
49
50

Figure 17. An example to explain Condition 1 4.1

Figure 18. An example to explain Condition 5 and 6.

1 Figure 17, 18, 22 and 23 have uploaded on Dropbox:

5.2.2 Scanning for potential HSBPs

52
Figure 19. The Mechanism of scanning for potential HSBPs. Figure 20. The mechanism of determining a potential HSBP by 6 conditions, an example. 53
54

5.3 HSBP_Strategy: Evaluating HSBP trading strategy

55
56

Workflow of HSBP_Strategy

Step 2Step 1

Step 3

Phase

Raw Data

Open long

position Yes

OP_Rule

Close long

position

SL_Rule

SP_Rule

No Break

HSBP_Detector

HSBP_Strategy

Potential

HSPBs

Figure 21. A workflow of HSBP_Strategy.

5.3.1 An example of HSBP trading strategy Li-1, with the module of HSBP_Strategy

57
58
59
Figure 22. An example to illustrate OP_Rule and SP_Rule. 60
61
62
Figure 23. An example that HSBP_Strategy closed the long position for stop loss. 2

2 NSSC is the symbol of NAPCO Security Technologies, Inc.

5.4 An overview of SH-1 workflow

TALTmaxTmin (See Section 4.4)

Raw data

Directional

Change

Computing

(DCC)

Extreme

Points

(EPs)