future prices. By grasping the turning point of
uncertainty, you can grasp the future trend.
However, there is no technical indicator that can
fully predict future price movements. When using
various technical indicators, the phenomenon of
conflicting indicator signals often occurs. When
indicators conflict, how to make a decision becomes
an investment strategy issue. If such uncertainty can
be represented by quantifiable data, the situation of
index conflict can be quantified as data. Investment
strategies can then make decisions based on this
data.
The method used in this study to quantify
uncertainty refers to Shannon's information entropy
theory [2]. Information entropy is used to quantify
the uncertainty of text transmission during
communication. The method is, to sum up, all
possible situations probabilistically to get a value.
Higher numbers indicate higher uncertainty. The
basic concept of information entropy believes that
the role of information is to eliminate people's
uncertainty about things. When a message has a
higher probability of appearing, it means that it is
more widely spread. From the perspective of the
breadth of information dissemination, information
entropy can represent the value of information. The
calculation method of information entropy is as
follows:
(1)
x represents a random factor, and P(x) represents the
output probability function
Assuming that there are n observed events, the
probability of occurrence is P1, P2, …, Pn, the
probability combination can be written as
(P1,P2,…,Pn), then according to the above formula,
the uncertain value is H(P1, P2,…, Pn)
In this study, the uncertainty of the price trend takes
the prediction of future trends of technical indicators
as a random factor, and the sum of several technical
indicators is used as the value of information
entropy, which is defined as price information
entropy. Each of these technical indicators predicts
that the probability of rising is regarded as an event
in the price information entropy formula. The
formula for price information entropy is as follows:
(2)
Where (3)
P(X) is the price information entropy value of an
event, x is the probability of event occurrence, a is
the rate of change of price information entropy, and
k is the minimum price information entropy. When
x is closer to 50, that is, when the probability of
event occurrence is close to 50%, the value of price
information entropy is lower. When the price
information entropy value is lower, it means that the
uncertainty is high, which means that it is not
suitable for any investment behavior. For example,
three indicators are used to make predictions. At
time A, the calculated rise probability of each
indicator is 50%, 60%, and 50%. At time B, the
calculated ascent probabilities are 40%, 70%, and
65%. The entropy value calculated at time A will be
lower than that at time B, indicating that the price
trend at time A has high uncertainty and is not
suitable for any operation.
3.3 Research Methods
This study is divided into three steps:
(1) Select appropriate technical indicators and
establish a price information entropy calculation
model.
(2) Design visual graphics to show price trends.
(3) Test the price information entropy calculation
model with the actual market price trend.
The main research object is the US Dow Jones
futures index.
Screening of technical analysis indicators:
In simple terms, price information entropy is a way
of making decision-making judgments by
combining multiple indicators into one value. Any
technical indicator can be used as one of the factors
of judgment, and this method also provides
decision-making flexibility. Investors can set it in
the calculation formula of price information entropy
according to their familiarity with various technical
indicators.
Embedded Cycle:
Based on the historical data of market price changes
for many years, the results of induction and analysis
of this research show that the trend-type technical
indicators are the most suitable for trend analysis
and forecasting. Such indicators are directly related
to the average value of the price. By analyzing the
way of Exponential Moving Average (EMA), a
natural law phenomenon of price trend can be
obtained. The price of a product is analyzed by 4
exponential moving averages with values of 24, 60,
120, and 240. When the exponential moving
average of 24 falls below the exponential moving
average of 60, the price action begins to decline.
When the price bounces up to meet the exponential
moving average near 60, this price becomes the
WSEAS TRANSACTIONS on BUSINESS and ECONOMICS
DOI: 10.37394/23207.2022.19.114
Hsueh-Ying Wu, Shu-Wen Lei, Jih-Lian Ha