recent developments in high frequency financial ... - Index of
recent developments in high frequency financial ... - Index of
recent developments in high frequency financial ... - Index of
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202<br />
W. B. Omrane, H. V. Oppens<br />
<strong>of</strong> stock market and foreign exchange market returns by us<strong>in</strong>g past buy and sell<br />
signals, and they f<strong>in</strong>d an evidence <strong>of</strong> nonl<strong>in</strong>ear predictability <strong>of</strong> such returns.<br />
In addition to these simple trad<strong>in</strong>g rules, technical analysis abounds <strong>of</strong> methods<br />
<strong>in</strong> order to predict future price trends. These methods have also been considered <strong>in</strong><br />
empirical research. Jensen (1970) tests empirically the ‘relative strength’ trad<strong>in</strong>g<br />
rule. 1 The estimated pr<strong>of</strong>it provided by this trad<strong>in</strong>g rule is not significantly bigger<br />
than the one obta<strong>in</strong>ed by the ‘Buy and Hold’ strategy. 2 Osler (2000) f<strong>in</strong>ds that the<br />
support and resistance technique provides a predictive success. Other studies make<br />
use <strong>of</strong> genetic programs to develop trad<strong>in</strong>g rules likely to realize significant pr<strong>of</strong>its<br />
(e.g., Neely et al. (1997); Dempster and Jones (1998a) and Neely and Weller<br />
(1999)). Furthermore, Blume et al. (1994) demonstrate that sequences <strong>of</strong> volume<br />
can be <strong>in</strong>formative. This would expla<strong>in</strong> the widespread use by practitioners <strong>of</strong><br />
technical analysis based upon volumes.<br />
The different studies mentioned above have ma<strong>in</strong>ly focused on l<strong>in</strong>ear price<br />
relations. However, other researchers have oriented their <strong>in</strong>vestigations to nonl<strong>in</strong>ear<br />
price relations. Technical patterns, also called chart patterns, are considered<br />
as non-l<strong>in</strong>ear patterns. Both Murphy (1999) and Béchu and Bertrand (1999), argue<br />
that these k<strong>in</strong>ds <strong>of</strong> patterns present a predictive success which allows traders to<br />
acquire pr<strong>of</strong>it by develop<strong>in</strong>g specific trad<strong>in</strong>g rules. In most studies, technical<br />
patterns are analyzed through their pr<strong>of</strong>itability. Levy (1971) focuses on the predictive<br />
property <strong>of</strong> the patterns based on a sequence <strong>of</strong> five price extrema and<br />
conclude, after tak<strong>in</strong>g <strong>in</strong>to account the transaction costs, to the unpr<strong>of</strong>itability <strong>of</strong><br />
such configurations. Osler (1998) analyzes the most famous chart pattern, the head<br />
and shoulders pattern. 3 She underl<strong>in</strong>es that agents who adopt this k<strong>in</strong>d <strong>of</strong> technical<br />
pattern <strong>in</strong> their strategy must be qualified as noise traders because they generate<br />
important order flow and their trad<strong>in</strong>g is unpr<strong>of</strong>itable. Dempster and Jones (1998b)<br />
and Chang and Osler (1999) obta<strong>in</strong> the same conclusion regard<strong>in</strong>g the non<br />
pr<strong>of</strong>itability <strong>of</strong> the trad<strong>in</strong>g rules related to chart patterns. In contrast, Lo et al.<br />
(2000) show that the <strong>in</strong>formational content <strong>of</strong> chart patterns affects significantly<br />
future stock returns.<br />
Some studies go beyond the scope <strong>of</strong> test<strong>in</strong>g the performance <strong>of</strong> trad<strong>in</strong>g models.<br />
For example, Gençay et al. (2002, 2003) employ a widely used commercial realtime<br />
trad<strong>in</strong>g model as a diagnostic tool to evaluate the statistical properties <strong>of</strong><br />
foreign exchange rates. They consider that the trad<strong>in</strong>g model on real data outperforms<br />
some sophisticated statistical models imply<strong>in</strong>g that these latter are not<br />
relevant for captur<strong>in</strong>g the data generat<strong>in</strong>g process. They add that <strong>in</strong> f<strong>in</strong>ancial<br />
markets, the data generat<strong>in</strong>g process is a complex network <strong>of</strong> layers where each<br />
layer corresponds to a particular <strong>frequency</strong>.<br />
In our paper we choose to deal with <strong>high</strong> <strong>frequency</strong> data, believ<strong>in</strong>g that all our<br />
results are sensitive to the time scale. The results carried out from 1 h or 30 m<strong>in</strong><br />
time scale are certa<strong>in</strong>ly different from those triggered by 5 m<strong>in</strong> <strong>frequency</strong>. However,<br />
the goal <strong>of</strong> our study is to analyze the performance <strong>of</strong> some chart pattern at<br />
a specific time scale without generaliz<strong>in</strong>g our results to other frequencies. Our<br />
1 Once comput<strong>in</strong>g the ratio Pt=Pt where Pt corresponds to the mean <strong>of</strong> prices preced<strong>in</strong>g the<br />
moment t, the relative strength trad<strong>in</strong>g rule consists <strong>in</strong> buy<strong>in</strong>g the asset if the ratio is bigger than a<br />
particular value and sell<strong>in</strong>g it when the ratio reaches a specific threshold.<br />
2 This strategy consists <strong>in</strong> buy<strong>in</strong>g the asset at the beg<strong>in</strong>n<strong>in</strong>g <strong>of</strong> a certa<strong>in</strong> period and keep<strong>in</strong>g it until<br />
the end.<br />
3 This chart pattern is def<strong>in</strong>ed <strong>in</strong> Section 3.2.