Point and Figure charting A computational methodology and trading rule performance in the S P 500
Post on: 1 Июль, 2015 No Comment
Page 1
***PRELIMINARY DRAFT – DO NOT QUOTE***
POINT AND FIGURE CHARTING:
John A Anderson*
Abstract: Point and Figure charting is one of the oldest practitioner techniques for
analysing price movements in financial markets, yet has received almost no coverage in
I I
Point and Figure charting is a technical analysis technique in which time is not
I IN NT TR RO OD DU UC CT TI IO ON N
represented on the x-axis, but merely price changes (independent of time) are recorded
via a series of X’s for increasing price movements and O’s for decreasing price
movements. Evidence suggests that the technique is over 100 years old and is now a
standard feature on many widely-used professional market analysis software systems
such as Bloomberg, Reuters, TradeStation and MetaStock.
Taylor and Allen (1992), surveyed foreign exchange dealers in London about their
analytical techniques and found that over 90% of survey respondents relied on technical
analysis at some point for asset allocation decisions. Given Point and Figure’s place as a
standard feature on popular market analysis software, presumably some of those buy/sell
decisions were made on the basis of Point and Figure techniques although this has not
been specifically documented. Therefore, although we may assume that Point and Figure
does play some role among financial markets practitioners, the academic literature has
left the question of the usefulness of this technique largely ignored.
Point and Figure dispenses with time on the x-axis and concentrates solely on changes in
The relevant literature on Point and Figure is particularly small with only two works
appearing in the academic literature, both being published in German by Hauschild and
Winkelmann (1985) and Stottner (1990). The remainder of works have been published as
books of varying quality by authors including Aby (1996), Cohen (1960), Dorsey (1995),
Seligman (1962), Wheelan (1954), Zieg and Kaufman (1975) and Davis (1965). These
works are discussed in more detail below.
This paper is designed to bridge that gap between the practitioner and academic literature
by providing a rigourous test of the various Point and Figure chart ‘patterns’ said to
produce profitable trading opportunities. These are tested by mathematically specifying
each of the patterns, then simulating the trades specified by the trading rules on S&P500
The earliest reference in Point and Figure charting appears to be deVilliers (1933), who
journals. Examples of poor methodology include the use of spurious trendlines that have
little a priori value, vaguely defined/subjective chart ‘patterns’ and trade entry/exit
‘rules’ which become so onerous in their specification that they are unlikely to be of
practical value due to the rarity of such complex conditions being met. Just as technical
analysts working with bar charts claimed the existence of patterns that were subjective
and/or poorly specified, such as the only recently quantified Head and Shoulders patterns
(see Osler, 1998), Point and Figure has also attracted its share of essentially subjective
and unreplicable patterns.
Examples are provided in Cohen (1985) who discusses nebulous and ill-defined patterns
including the ‘Inverse Fulcrum’ and the ‘Saucer’ with their vaguely parabolic shapes and
the ‘Compound Fulcrum’ with trading producing two local minima of roughly equal
values. It is suspected that the subjectivity which plagues many popular ‘charting’ works,
including most of those above, have correctly attracted considerable scepticism from
academics requiring standards of replicability and objectivity.
In Anderson (1999) the problem of managing ultra-high-frequency data1 in 24-hour
markets was considered and Point and Figure was chosen as a continuous data filtering
device. There, the basic methodology of Point and Figure was applied as a filtering tool
to ultra-high-frequency data. For the Sydney Futures Exchange’s Share Price Index, 3
Year Bond and 10 Year Bond futures contracts filtering of data produced compression to
less than 5% of original observations for the smallest filtering level. All price change
information was recorded (except for the 10 Year Bond futures where half points were
removed in the filtering2), but with the loss of time characteristics due to the
methodology of Point and Figure.
Some research in this area has provided a structured and replicable methodology which
provides a valid testing framework for assessing the profitability of Point and Figure
1 For a definition of Ultra-High-Frequency data see Engle (2000).
2 Note that Australian Interest Rate Futures are quoted as 100 – Yield and so a half point is considerably
smaller in dollar value than that observed in US Interest Rate futures contracts.
charting for trading rule researchers. Only two such works examining trading rules using
Point and Figure appear to have been published in refereed finance journals and these
were published in German by Hauschild and Winkelmann (1985) and Stottner (1990).3
Hauschild and Winkelmann (1985) examined several simple Point and Figure trading
rules using daily data on 40 companies listed on German equity markets between 1970
and 1980. Their use of daily data can produce some problems with the calculation of
Point and Figure results. For example, when dealing with Open, High, Low, Close data
inferences/guesses must be made about whether the day’s highest price was traded before
the day’s low to determine whether a price reversal has occurred during that day.
Furthermore, if only closing prices are used then trading activity through the day (which
may have produced a buy/sell signal) is not recorded reducing the accuracy of the
recorded price movements. Therefore these limitations arising from the use of daily data
can achieve only a limited approximation to the more accurate use of intra-day data
which is able to capture all price movements for an asset.4
Hauschild and Winkelmann (1985) did not present results for individual firms and so the
composition of the component results are not available for discussion. On the aggregated
results across all firms the Point and Figure technique was unable to outperform a simple
buy-and-hold strategy for the period.
Stottner (1990) also examined equity markets examining 445 German and overseas
companies. The data set comprised closing data for periods of between 70 months and 14
years prior to the conclusion of the test in February 1989. Stottner (1990) used Point and
Figure charting but in a manner more akin to a simple filter-rule strategy with no
complex pattern assessment. As with Hauschild and Winkelmann (1985), he also found
that Point and Figure produced trading results inferior to a simple buy-and-hold strategy.
3 Both articles gratefully translated by Ralf Becker, an econometrics PhD student at Queensland University
4 The techniques for using daily data with Point and Figure are discussed in most of the books referred to in
this literature review section.