iBusiness, 2013, 5, 173-183
Published Online December 2013 (http://www.scirp.org/journal/ib)
http://dx.doi.org/10.4236/ib.2013.54022
Open Access IB
173
An Early Warning Model with Technical Indicators: The
Case of Ise (Istanbul Stock Exchange)
Kutluk Kagan Sumer
Department of Econometrics, Faculty of Economics, Istanbul University, Istanbul, Turkey.
Email: kutluk@istanbul.edu.tr
Received June 14th, 2011; revised July 12th, 2013; revised August 10th, 2013
Copyright © 2013 Kutluk Kagan Sumer. This is an open access article distributed under the Creative Commons Attribution License,
which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
ABSTRACT
In this study, the technical indicators are used in forecasting whether stock prices will rise, fall or will be constant at the
following day. The indicators are generated by taking into account the daily stock returns. If the daily stock returns are
positive, the indicator is coded as “+1”; if the daily stock returns are constant, the indicator is coded as “0” and at least
if the daily stock returns are negative, the indicator is coded as “1”. These indicator values express the dependent vari-
able of ordered choice models which independent variables are technical indicators. The ordered choice models are ap-
plied to all of the stocks of ISE (Istanbul Stock Exchange).
Keywords: Stock Exchange; ISE; Technical Analysis; Technical Indicators; Early Warning; Ordered Choice
1. Introduction
The computation and interpretation of the technical indi-
cators take place according to the methods described in
the methodology. With the computation of the daily in-
dicator value “NSI”, which represents a conclusion value
as the dependent variable, the individual parameters of
the respective technical indicators of a share of the tech-
nical indicators of the one day lagged are determined.
With a rising NSI (New Stock Indicator), the indicator
value (+1) was assigned to the shares, which were con-
sulted in the model category three for the computation of
the new indicator value “NSI”, the shares of a constant
“NSI” with the indicator value (0) and the shares of a
falling “NSI” with the indicator value (1). During the
dissolution, this model was used for the dependent vari-
ables and their categorization, the Ordered Choice model,
whereby lining the variable (1), (0) and (+1) with the
use of this model put up close.
The Ordered Choice methodology is used among other
things with the determination by economic cycles:
How did the prices develop in the past period Pt?
What for a price history is expected in the coming pe-
riod Pt
* [1]?
King, Nerlove, Ottenwaelter and Oudiz have in their
work:
Pt
* as conditionally distributed regarded and with that
adaptive expactations model for Ptq
* and Pt compared
Pt
* as conditionally distributed regarded and with the
extrapolative models for Ptq
*, Pt compared.
A general error correction mechanism is used derived
by using Pt
*. E(Pt) represents thereby the variable for
Pt
* for changes of expectation, is “trichotomous” and
takes the following values (Table 1):
The computation of the Ordered Logit and Ordered
Probit models is based on the Maximum Likelihood me-
thod.
Like already with the technical analysis on the basis of
the conclusion values of the past periods, the future de-
velopment of the conclusion values is mentioned and
estimated. With this kind of the estimation, the conclu-
sion values of shares show dependence and it becomes
repetitive share price history.
The following acceptance of the model is on the basis
of technical models:
The share prices are determined by supply and de-
mand.
Supply and demand occur by external factors i.e. in-
flation, interest rates, exchange rates etc.
Easy share price fluctuations are neglected; do recog-
nize trends with the share prices.
The changes are at trends due to changes in supply
and demand.
The changes in supply and demand are responsible for
An Early Warning Model with Technical Indicators: The Case of Ise (Istanbul Stock Exchange)
174
Table 1. Values of Pt*\Pt+1.
P
t*\Pt+1*
Rising = + +
Constant = +
Falling =
the fact that it comes to the changes of trends pursued by
the share prices. The technical analysts call the applica-
tion of the technical analysis instead of fundamental
analysis according to following reasons:
The fundamental analysis is time-consuming and de-
pendent to its user’s economic basic knowledge. In
contrast to it, the simple basic knowledge is sufficient
for the application of the technical analysis. For this
reason by small investors, the technical analysis is
preferred. The confrontation of the investors with
similar formations and indicators leads to the fact that
you display homogeneous actions and because of
these actions, supply and demand are affected.
The fundamental analysis helps to become attentive
on shares with low prices and to make plans possible
into this security. The success of such a plan depends
on the fact that the remaining investors become atten-
tive to these shares and their offers thus increase, so
that it comes by it to share price increases.
Users of the technical analysis are not on those bal-
ances and success estimations, which are however not
set up after according to tax law principles the actual
costing and yield structure to again-reflect, instructed.
The results of the fundamental analysis illustrate the
central to long-term price change. With the technical
analysis, it is possible to use short term data in in-
vestment decisions.
Speculative price history is not illustrated with the
fundamental analysis. The technical analysis is proved
with speculative shares as particularly sensitive to the
analysis method. Speculations lead to the revaluation
of shares, whereby the financial indicators at force of
expression lose.
2. Methodology: Ordered Choice Models
The many of the Multinomial Choice variables are auto-
matically arranged. In the literature the following exam-
ples are called: [2]
Security evaluations [3];
Results of sample tests;
Public opinion polls;
Dispatching from military personnel to place qualifi-
cations after qualification level;
Election results with certain programs.
In requirement taken insurance level by consumers: no
partial, full demand Occupation: Full employment, part-
time work, unemployment.
At all these cases, although the result is discrete, the
Multinomial Logit and Probit models would fail to the
dependent variable with ordinal nature. Usually regres-
sion analyses are into the opposite direction. If one re-
gards for example the result of sample tests or a public
opinion poll, then arises: if the effect with 0, 1, 2, 3 or 4
is coded, the linear involution represents the difference
between 4 and 3, equal the difference between 3 and 2.
The Ordered Probit and Logit of models finds a strong
use as an analysis stand (Zavoina and McElvey, 1975)
[4]. The Ordered Probit model is set up, like the Bino-
mial Probit model, for a latent involution.
The initial equation reads:
yx

Usually y* the non-observed variable represents. It
represents a form of the censorship. One observes:
1
12
0if 0
1if0
2if
y
yy
y


Those
are unknown parameters, also
become esti-
mated. During the view of a public opinion poll we can
see that all asked persons have their own feeling intensity,
those from the measurable factors x and did not deter-
mine not observed factors depend. They can answer to
the questions with their own y*, if this is permitted. With
five possible answers for example given, they select that
one, which corresponds to its feelings during the given
question at most [5].
Assumed is normal distributed with constant vari-
ance. From the same reasons as in the binomial probit
model (special case J = 1), becomes the average value
and the variance of to 0 and 1 normalizes. The model
can be distributed also with a logistically distributed dis-
turbance. This trivial modification of the formula does
not seem to make a real difference in practice.
The following probabilities result in the case of normal
distribution:
 

1
21
Prob 0
Prob 1
Prob 2
yx
yx
yx
 
x
x



 

 
For all positive probabilities is the result
12
01
J


Figure 1 shows the effects of the structure. It is a gen-
eralized case of the probit of model represented above.
The log Likelihood function and its derivative can be
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An Early Warning Model with Technical Indicators: The Case of Ise (Istanbul Stock Exchange) 175
Figure 1. Probabilities with ordered probit models.
easily determined. The optimization takes place as usual.
The marginal effects of the Regressors x are not alike
for the determined probability and the coefficients. For
example there are three categories. The model exhibits an
unknown border parameter. The three probabilities read:

 
Prob0 1
Prob 1
yx
yx
 


 
x
The marginal effects of the change of Regressors for
the three probabilities read: [2]


 


Prob 0
Prob 1
Prob 2
yx
x
yxx
x
yx
x
 

 


 
  




Figure 2 shows the effect of the change of Regressors.
The probability distribution of y and y* is represented in
the pulled through curve. An increase of x, during
and
to be kept constant, is to the right, represented as bro-
ken curve equal a shift of the distribution. The effect of
the shift is a concentration on those completely left cell.
With the acceptance that
for this x, must Prob(y = 0)
is positive sink. Alternatively to the previous expression,
the derivative of Prob(y = 0) has the contrary sign for
.
With a similar logic the change knows case] the same
sign with Prob(y = 2) [or Prob(y = J) generally how
have. On the assumption that it is positive, it shifts the
probability into the right cell. Which passed it with the
middle cell unclearly, depends on the two densities.
Generally, in dependence to the signs of the coefficients,
only the changes of Prob(y = 0) and Prob(y = J) are un-
clear. In summary it can be said that the interpretation of
the coefficients must be accomplished in this model very
carefully. With the models represented above it acts up to
now around to few clear model. Without an appropriate
Figure 2. Effects of the change of x with forecast probabili-
ties.
number of computations the kind of the interpretation of
coefficients is not clear in Ordered Probit models [2].
3. Technical Indicator Variables and Models
In the table, Ordered probit is used for the indicators as
presented into the individual models as argument. A new
indicator “NSI R” (NSI REAL) is computed, which
represents the daily conclusion values of the individual
shares. The indicator “NSI C” (NSI calculated) is deter-
mined with the help of down stated the formula for all at
the IMKB noting 250 shares and from it a “NSI E” (NSI
Estimated) is derived.

CCI1 OSILATOR1
PVT1 ROC1
VOLUME 1
MACD1 MOMENRTUM1
RSI1 VOLOSIL1
WILLIAMS 11
NSIE 1
NSIE CCIOSILATOR
PVT ROC
VOLUME
MACD MOMENTUM
RSI VOLOSIL
WILLIAMS NSIE
tt t
tt
t
tt
tt
tt









 
 

 
 
 
The following technical indicators were consulted for
the models (Table 2).
In the Ordered Probit tables under the parameter esti-
mated values the standard errors are bold indicated. For
those shares without parameter estimated values, the pa-
rameter estimations are not efficient.
The estimated parameter values of the technical indi-
cators state above for all shares that computed. They
represent the argument in each case in the individual
models. From the dependent variable “NSI R” is deter-
mined the indicator “NSI C” and derived from it with the
help of that far down aforementioned method the indica-
tor “NSI E”. This indicator can accept the “NSI R” with
the comparison with values the values (+1) for rising, (0)
for constant and (1) for falling prices.
With the computation of the estimated parameter val-
ues the Ordered Choice models (Ordered Logit models
and Ordered Probit models) is used. In the theoretical
part the Ordered Choice methodolgy is described in de-
tail. During the derivative of the indicator “NSI P” from
the indicator “NSI E” the following method is used:
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Table 2. Technical indicators variables.
CCI Commodity
channel index OSILATOR Stochastic
oscillator
PVT Price volume
trend ROC Rate of change
VOLUME Acted quantity MACD Macd
MOMENTUM Momentum RSI Relative
strenght index
VOLOSIL Volume
Oscillator WILLIAMS Williams % R
NSI (1) NSI one day
lagged
LR Index
(Pseudo-R2) LR Statistic
Probability
(LR stat)
*
i
Yx
 (1)
*
1
*
12
*
2
1when
0when
1when
i
i
i
Y
Y
Y
i
Y


(2)





1
21
2
Pr1, ,
Pr0, ,
Pr1, ,1
ii
ii
ii
Yx x
Yxx x
Yx x
 

 
 


(3)






1
0
1
,logPr1,
log Pr0,,
log Pr1,,
ii
iYi
ii
iYi
ii
iYi
Yx
Yx
Yx
,









The estimated parameter values are determined with
the help of the Equation (1) stated above. In the Equation
(2) 1
and 2
represent in the tables the Logit and
probit models the Limit_0 and Limit_1 of values. 1
represents that point, at the NSI C of the value (1) the
value (0), during the derivative of NSI E, assumes. 2
represents that point, at the NSI C of the value (0) the
value (+1), during the derivative of NSI E, assumes.
On closer inspection of the signs (+/) of the individ-
ual parameter estimated values the following results:
3.1. CCI-Variable (Commodity Channel Index)
With the computation of the CCI the deviation of the
share prices from their statistic average values is deter-
mined. The CCI takes values between +100 and 100.
The computation of the CCI is in the chapter “technical
indicators” is represented. A CCI value of over +100
shows a strong purchase behavior and a value of under
100 shows a strong sales behavior. As describes in the
theoretical part, investors should buy at a high CCI value
securities. Experienced investors buy at strong sales be-
havior and a CCI value around 100. A positive or minus
sign at the CCI value changes from share to share. With
the analysis of the shares listed in the table Ordered Logit
and Ordered Probit of models showed up that with the
shares of boron new facts Yapi, Usas, Petkim, Cimentas,
Hazneder Tugla; Mardin Cimento and Kordsa at a high
CCI value and with the remaining shares at a low CCI
value to be bought should.
3.2. OSILATOR-Variable (Stochastic Oscillator)
The Stochastic Oscillator (SO) compares the conclusion
value of a share with the observed price history within a
fixed period. With rise of the prices the conclusion value
of the security rises within the fixed period to its highest
price level. With case of the prices the conclusion value
sinks within the fixed period on its deepest price level
sinks.
The Stochastic Oscillator is represented on the basis
two different curves. The interpretation of the Stochastic
Oscillators takes place due to a confrontation of these
two curves (K%-curve and D% curve). The slowed down
K%-curve is represented as a constant line. The slowed
down K%-curve represents the sliding means of the
K%-curve within a fixed period. The D%-curve however
is dotted represented. The D%-curve represents the slid-
ing means of the slowed down K%-curve.
The formula for the computation of the K%-curve
reads:
SGKF ED
K% 100
EY ED

SGKF: Close value of the last daily;
OD: Lowest value of the share within last five days;
EY: Maximum value of the share within the last five
days.
If the conclusion value of the last daily lies in the
proximity of the maximum value of the last five days, a
rise of the prices is forecast and turned around. The sign
of the parameter estimated value is positive (+) [6].
3.3. PVT-Variable (Price-Volume-Trend)
The regarded relationship of the prices to the acted quan-
tity is similar to the equilibrium of the quantities and
prices. With the price/quantity equilibrium becomes de-
pending upon price rise or case, the price/quantity equi-
librium of the one day lagged the up-to-date acted quan-
tity added or taken off. With the regarded relationship of
the prices to the acted quantity the acted quantity of the
one day lagged cumulated a certain percentage of the
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up-to-date acted quantity is added or taken off. The per-
centage is calculated as a function of the price rise or
case.
If the acted quantity rises with sinking prices, the PVT
value sinks. In this situation the PVT variable shows a
strong purchase behavior with low prices. Sinking prices
and a sinking quantity are characteristics for one PVT
value any longer not falling. From the negative connec-
tion between acted quantity and rising prices can a minus
sign of the parameter estimated value () be derived.
3.4. ROC (Price Rate of Change)
The price adjustment rate (ROC) shows the percent
change of the price of the current daily in the comparison
to the price of the previous daily.
The following formula shows the computation of the
price adjustment rate:

curentcloseclose fordays
Price ROC100
close fordays

If the prices reach a point, also the ROC value reaches
a point. The sign of the parameter estimated value is
negative ().
3.5. VOLUME (Acted Quantity)
The acted quantity represents the quantity of the bought
and sold shares. The development of the acted quantity
and the prices gives important notes to future events.
With sinking prices are more buyers. By the rise of the
inquired quantity, the prices rise. The sign of the pa-
rameter estimated value is positive (+).
The parameter estimated values of the VOLUME of
indicator for the regarded shares are very small. The rea-
son for it lies to the extent of the acted quantity.
3.6. MACD (Moving Average Convergence
Divergence)
With the help of the MACD trends can be illustrated. The
MACD shows the relationship between two sliding av-
erages, on whose basis purchase and sales decisions can
be met.
With the computation of the MACD first a long-term
and a short term exponentially sliding means are calcu-
lated. Subsequently, from the short term exponentially
sliding means the long-term sliding means is taken off, in
order to determine the MACD. If the short term expo-
nentially sliding means is larger than the long-term ex-
ponentially sliding means, the result is positive and the
MACD lies over the zero-line. This indicates a rise of the
prices. If however the result is negative, the MACD is
under the zero-line.
With the computation among other things the signal
line is determined. This signal line results due to the val-
ues of the exponentially sliding means of the last nine
days. If the MACD cuts the signal line from down up,
then a purchase decision is met. If however the MACD
from above cuts down the signal line, then a sales deci-
sion is met. A rising MACD value is characteristic for a
rising price level. One can interpret a rising MACD value
as sales signal. The sign is negative the parameter esti-
mated value ().
3.7. Momentum
The Momentum indicates the percent change of the pric-
es within a fixed period. With the help of the Momentum
the profit or loss, which a share obtains within a certain
period, can be represented. The price adjustment rate
(ROC) shows a similar event as the Momentum, the dif-
ference lies in the representational form. The datum line
is with the Momentum with 100 and with the ROC with
0 and on the ordinate the percent change is represented.
The Momentum is computed according to the formula
stated down:
Close value of the last daily
Momentum 100
Close value beforedays

Summarized the Momentum shows the yield of a share
in the comparison to the price before “x” days is obtained.
If the Momentum a maximum value moves reached and
then downward, sales decisions are met. The sign of the
parameter estimated value is negative ().
3.8. RSI (Relative Strength Index)
With the computation of this characteristic number be-
comes with the help of the “sliding means of the price
movements upward” (MAU Moving AVERAGE UP)
and the “sliding means of the price movements down-
ward” (WAD Moving AVERAGE down) the develop-
ment of the prices determines. The relative Strength in-
dex (RSI) curve takes a value between “0” and “100”.
Following the determination of the MAU and WAD with
the help of a formula of the RSI index is determined. A
rising RSI value means a sinking price history in reverse
and. The sign of the parameter estimated value is nega-
tive () [6].
3.9. VOLOSIL (Volume Oscillator)
The volume Oscillator (VOLOSIL) is similar to the Sto-
chastic Oscillator. It becomes instead of for the price, for
which acted quantity computes. The VOLOSIL shows
the difference between the means sliding at short notice
and the means of a security quantity sliding on a long-
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178
term basis. Influence parameters on the VOLOSIL rep-
resent the method of the computation of the sliding
means, the Fristigkeit and the presentation method. The
sign of the parameter estimated value is positive (+).
3.10. WILLIAMS (Williams’ % R)
Williams % R represents a Momentum indicator, by
which levels are represented with multi-purchases and
increased sale. Williams % R is interpreted similarly as
the Stochastic Oscillator. In contrast to the Stochastic
Oscillator has Williams % R a turned sign. If Williams
lies % R between 80% and 100%, then surplus sales find
with the regarded security, at a value between 0% and
20% take place surplus purchases. The purchase and
sales decision should be met only if the security price
moves in the reverse direction. The MACD helps with
the announcement of Share-pries change. A rising Wil-
liams % R marks rising prices. The sign of the parameter
estimated value is positive (+) [7].
3.11. NSI (1)
“NSI (1)” represents the material share price adjustment
of the one day lagged. If it takes the value 1, it means
that the value sank and the prices of the current daily can
rise. If the “NSI (1) is” value of the one day lagged 0 or
+1, then it knows a sinking of the prices meant. The sign
of the parameter estimated value is negative ().
In the Ordered Logit and Ordered Probit models be-
came instead of the certainty measure of R2 of the LR
index (pseudo R2) and instead of the f-Statistic the LR
Statistic used. Details in addition are in the theoretical
part of this work. The pseudo R2 took very low values.
This is due to the calculation method of the pseudo R2. A
comparison with classical R2-values would not be correct
[8].
In the classical involution model the R2-value between
0 and 1 can move, whereby a value means close 1 a
strong correlation. Dummy Dependent variable model
does not supply value close 1. On the assumption that in
a given interval the correct probabilities of an event are
evenly distributed, it is to be set it possible for R2 an up-
per border of. For this reason a low R2 is not unusual
with the estimation of a linear probability model [9].
4. Emprical Results
Following the four ISE (Istanbul Stock Exchange) indi-
ces are aforementioned the main sector indices (industry,
service, financial and technology sector) and the perti-
nent sub sectors.
The main sector and sub sector indices cover securities,
which are not acted at the stock exchange to note and at
the national market.
CODE INDICES
XU100 ISE NATIONAL-100
XU050 ISE NATIONAL-50
XU030 ISE NATIONAL-30
XKURY ISE CORPORATE GOVERNMENT
XUTUM ISE NATIONAL-ALL SHARES
XUSIN ISE NATIONAL-INDUSTRIALS
XGIDA FOOD, BEVERAGE
XTEKS TEXTILE, LEATHER
XKAGT WOOD, PAPER, PRINTING
XKMYA CHEMICAL, PETROLEUM, PLASTIC
XTAST NON-METAL MINERAL PRODUCTS
XMANA BASIC METAL
XMESY METAL PRODUCTS, MACHINERY
XUHIZ ISE NATIONAL-SERVICES
XELKT ELECTRICITY
XULAS TRANSPORTATION
XTRZM TOURISM
XTCRT WHOLESALE AND RETAIL TRADE
XILTM TELECOMMUNICATIONS
XSPOR SPORTS
XUMAL ISE NATIONAL - FINANCIALS
XBANK BANKS
XSGRT INSURANCE
XFINK LEASING, FACTORING
XHOLD HOLDING AND INVESTMENT
XGMYO REAL ESTATE INVEST.TRUSTS
XUTEK ISE NATIONAL TECHNOLOGY
XBLSM INFORMATION TECHNOLOGY
XSVNM DEFENSE
XYORT ISE INVESTMENT TRUSTS
XIKIU ISE SECOND NATIONAL
XYEKO ISE NEW ECONOMY
Following tables contain some of the significant pa-
rameters of variables in ordered probit models (Tables 3
and 4) [10].
4.1. Stability of the Parameter Estimated Values
The stability of the estimated parameter values, in order
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179
Table 3. Some of the ordered probit outputs.
ABANA ELEKTRO AK ENERJİ AKTAŞ ELEKTRİK AYEN ENERJİ
SAMPLE
REGRESSION
OUTPUTS
Std.Dev Prob. Std.DevProb. Std. DevProb. Std. DevProb.
N 2116
88
1585
90
CCI (1)
OSILATOR (1) 0.01 0.00 0.00 0.04 0.02 0.01
PVT (1)
ROC (1) 9.34 0.48 0.00
10.23 2.47 0.004.29 0.42 0.00
21.53 4.50 0.00
VOLUME (1) 0.00 0.00 0.04
0.00 0.00 0.00
MACD (1)
0.00 0.00 0.00
MOMENTUM (1)
0.27 0.15 0.08
RSI (1)
0.54 0.25 0.03
VOLOSIL (1)
WILLIAMS (1) 0.01 0.00 0.00 0.01 0.00 0.010.01 0.00 0.00 0.01 0.00 0.01
ISARET (1) 0.07 0.03 0.04 0.30 0.17 0.080.07 0.04 0.06
0.48 0.20 0.02
LIMIT_0 0.38 0.04 0.00 0.29 0.17 0.090.73 0.18 0.00
80.38 36.72 0.03
LIMIT_1 0.01 0.04 0.74 0.29 0.17 0.090.33 0.18 0.06
81.04 36.74 0.03
LR index
(PseudoR2) 0.27
0.24
0.20
0.47
LR statistic 1134.48
42.00
648.45
79.33
Probability (LR stat) 0.00
0.00
0.00
0.00
HAUPT SEKTOR XUHIZ
XUHIZ
XUHIZ
XUHIZ
UNTER SEKTOR XELKT
XELKT
XELKT
XELKT
Table 4. Summary of models.
Number of
Efficient Estimations % of Total
CCI (1) 33 13.2
OSILATOR (1) 108 43.2
PVT (1) 58 23.2
ROC (1) 250 100
VOLUME (1) 214 85.6
MACD (1) 75 30
MOMENTUM (1) 27 10.8
RSI (1) 16 6.4
VOLOSIL (1) 49 19.6
WILLIAMS (1) 247 98.8
ISARET (1) 247 98.8
N (Mean) 1642
LR index (Pseudo-R2)
(Average) 0.24
to be able to make prognoses over the share price change,
tested in the context of this work. For this from 250
shares altogether 32 shares were selected. To the criteria
for choice the number of collections and the affiliation to
at least a sub sector belonged. Shares with the highest
collections from each sub sector each are selected. The
accomplished stability test results are in the following:
With the examination of the stability of the parameter
values of the selected shares at the beginning of a third of
the oldest collections of the parameter computation one
takes out. In a second passage finally only more half of
the collections was located—which recent collections—
for the order, with which a further parameter computa-
tion is accomplished. After Chow a third of the collec-
tions and afterwards half of the collections are taken out
last of the center of the entire elevations. Those only with
the oldest and recent collections the parameter values are
computed. The estimated parameter values with the full
collection number are compared after that far method
with the estimated parameter values, represented down,
with smaller collections and their stability is tested.
An Early Warning Model with Technical Indicators: The Case of Ise (Istanbul Stock Exchange)
180
00
10
ˆ
ˆ
H
H


A t-test was accomplished: 0
stat
ˆ
ˆ
tS
By the fulfillment of the condition tstat < ttable the H0
hypothesis is not rejected and the stability of the esti-
mated parameter values of the regarded 32 shares was
confirmed.
The estimated parameter values and stability test de-
termined for the selected 32 shares are in the appendix.
The results displays that the change of the number of
collections do not cause statistic change of the estimated
parameter values.
5. Conclusions
In summary, we can say that during the derivative of NSI
E: NSI C takes the value (1) assumes that it is smaller
as it is; NSI C takes the value (0) if it lies between; NSI
C takes the value (+1) if it is larger as it is.
For all technical indicators with the computation of the
variables one day lagged, values are used. The conclu-
sion values of 250 shares are raised for the calculations
of the technical indicators. The technical indicators as the
argument were used for the determination of the parame-
ter values, and thereby altogether 250 models are set up.
It participated interesting that the estimated parameter
values of the 250 shares were close. The CCI variable for
33 models, the OSILATOR variable for 108 models, the
PVT variable for 58 models, the ROC variable for all
models, the volume variable for 214 models, the MACD
variable for 75 models, the moment around variable for
27 models, the RSI variable for 16 models, the volume
OS IL variable for 49 models, the WILLIAMS variable
for 247 models and the NSI (1) variable for 247 models
are efficient.
With those models, in which the technical indicators
represent the arguments, Turkcell, Anadolu Efes and
Ayen Enerji had extreme parameter values. Since the
number of collections is very small with these shares,
one can meet the acceptance that iterated parameter val-
ues are not reached.
5.1. Model Prognoses
With above the 32 shares select for the stability test of
the estimated parameter values, prognoses become for
one period of three months (10 October to 24 January
2007) accomplished. With these prognoses, the “NSI R”
(NSI calculated) of values is determined and derived
from these the “NSI E” (NSI estimated). The derived
“NSI E” of values is compared afterwards with the “NSI
R” (NSI real) values.
Point prognoses and interval prognoses are accom-
plished. In the context of the point prognosis, the values
of “NSI C” were determined with the Limit_0 and
Limit_1 being compared and “NSI E” derives from it.
“NSI C” was under Limit_0 to “NSI P” on (1) and was
then specified. With the “NSI C” between Limit_0 and
Limit_1, “NSI E” is specified on (0) with a “NSI C” over
Limit_1 on (+1). After derivative of “NSI E”, it is com-
pared with “NSI R” and prognosis accuracy is deter-
mined. In the case of the point, prognoses resulted is
prognosis accuracy between 54 to 72 percent.
For the execution of the interval prognoses, addition-
ally the “NSI still becomes CU” value (NSI calculated
lower one limit) and “the NSI CO” value (NSI calculated
upper one border) is determined. With the help of these
two limit values, during the derivative of the “NSI E”,
the “NSI of EU” values (NSI prognosticated lower ones
limit) and “NSI of EO” values (NSI prognosticated upper
one border) are derived. It was checked whether the “NSI
R”-value is within these two values (between “NSI EU”
and “NSI PO”). With the regarded 32 models (ever a
model per share), “NSI R” is observed within these in-
terval values with a frequency from 70 to 96 percent.
The intervals (“NSI EU” and “NSI EO”) failed some-
times very closely and again very broadly. With very
close intervals (ex.: “NSI EU” = +1 and “NSI EO” = +1).
“NSI E” can speak with the interval borders of safe prog-
noses with the agreement of the point prognosis. On the
other side the interval borders far apart (“NSI EU” = 1
and “NSI EO” = +1) cannot be made safe statements
about the point prognosis “NSI E”. The reason for the far
interval borders lies in the high standard deviation and
the Limit_0 and Limit_1 values, for which again as in-
fluence of external factors is lying far apart, speculation
behavior is responsible.
With the regarded 32 shares, one could observe the in-
terval width of “NSI EU” within the observed period of 3
months = 1 to “NSI EO” = +1 between 9 percent and 83
percent, an average value of 57.4 percent for 32 shares
results. “NSI EU” = +1 to “NSI EO” = +1 was observed
with the 32 shares within the period by 3 months with a
frequency from 5.5 to 62.5 percent, and resulted in an
average value of 20.1 percent. When agreeing the “NSI
E”, “NSI EU” and “NSI EO” value an agreement with
“NSI R” which is determined between 61 and 100 per-
cent, i.e. with an average value of 89 percent.
In principle, one can say that with all securities with
18 (= 0.201 * 0.89) percent of probability safe prognoses
can be accomplished. In summary, we can say that one
with 63 percent of correct point prognoses altogether
with approx. 57 percent of all prognoses about no safe pro-
gnoses to talk can lie apart, and there the interval borders
far and with approx. 18 percent about safe prognoses to
tal can lie apart. 25 percent of the remaining can be k
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An Early Warning Model with Technical Indicators: The Case of Ise (Istanbul Stock Exchange)
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181
Table 5. Point and interval prognoses.
Stock
NSI E
Correct
Interval
Estimation Correct
NSI E = NSI
EU = NSI EO
NSI E = NSI EU =
NSI EO Correct
NSI PU = 1 NSI PO = +1
NSI P Betwixt
İŞ BANKASI (C) Amount43 67 13 11 43
in % 60.56 94.37 18.31 84.62 60.56
YAPI VE KREDİ BANK. Amount46 67 17 15 35
in % 64.79 94.37 23.94 88.24 49.30
İKTİSAT FİN. KİR. Amount42 66 16 14 37
in % 59.15 92.96 22.54 87.50 52.11
VAKIF GMYO Amount39 64 8 6 48
in % 57.35 94.12 11.76 75.00 70.59
ALARKO HOLDİNG Amount43 66 18 16 37
in % 60.56 92.96 25.35 88.89 52.11
ENKA HOLDİNG Amount56 76 12 11 53
in % 72.73 98.70 15.58 91.67 68.83
KOÇ HOLDİNG Amount41 69 17 14 38
in % 56.94 95.83 23.61 82.35 52.78
ANADOLU SİGORTA Amount39 51 45 37 7
in % 54.17 70.83 62.50 82.22 9.72
ANADOLU GIDA Amount45 67 13 8 39
in % 65.22 97.10 18.84 61.54 56.52
MARET Amount47 71 17 16 34
in % 65.28 98.61 23.61 94.12 47.22
PINAR SU Amount50 71 5 4 60
in % 69.44 98.61 6.94 80.00 83.33
AYGAZ Amount45 70 11 10 38
in % 62.50 97.22 15.28 90.91 52.78
BRİSA Amount44 66 22 18 36
in % 62.86 94.29 31.43 81.82 51.43
ECZACIBAŞI İLAÇ Amount49 71 15 15 56
in % 69.01 100.00 21.13 100.00 78.87
PETKİM Amount44 70 14 14 43
in % 61.11 97.22 19.44 100.00 59.72
ÇELİK HALAT Amount46 72 8 8 49
in % 63.89 100.00 11.11 100.00 68.06
EREĞLİ DEMİR CELİK Amount52 70 13 12 42
in % 72.22 97.22 18.06 92.31 58.33
SARKUYSAN Amount51 68 12 12 37
in % 70.83 94.44 16.67 100.00 51.39
An Early Warning Model with Technical Indicators: The Case of Ise (Istanbul Stock Exchange)
182
Continued
ARÇELİK Amount45 68 19 16 42
in % 62.50 94.44 26.39 84.21 58.33
MAKİNA TAKIM Amount39 66 15 11 44
in % 54.17 91.67 20.83 73.33 61.11
T.DEMİR DÖKÜM Amount47 71 8 7 47
in % 65.28 98.61 11.11 87.50 65.28
ÇİMSA Amount44 71 14 13 43
in % 61.11 98.61 19.44 92.86 59.72
İZOCAM Amount43 71 9 8 41
in % 59.72 98.61 12.50 88.89 56.94
TRAKYA CAM Amount40 68 18 16 33
in % 55.56 94.44 25.00 88.89 45.83
AKAL TEKSTİL Amount44 70 13 12 40
in % 61.11 97.22 18.06 92.31 55.56
KORDSA SABANCI
DUPONT Amount54 69 18 17 37
in % 75.00 95.83 25.00 94.44 51.39
YÜNSA Amount42 70 9 8 40
in % 58.33 97.22 12.50 88.89 55.56
GENTAŞ Amount51 72 15 15 43
in % 70.83 100.00 20.83 100.00 59.72
KARTONSAN Amount40 70 4 3 53
in % 55.56 97.22 5.56 75.00 73.61
HÜRRİYET GZT. Amount47 72 8 8 49
in % 65.28 100.00 11.11 100.00 68.06
ALCATEL TELETAŞ Amount50 70 21 19 39
in % 69.44 97.22 29.17 90.48 54.17
ASELSAN Amount46 71 15 15 42
in % 63.89 98.61 20.83 100.00 58.33
stated about the point prognoses as well as the intervals
made (Table 5).
REFERENCES
[1] C. Gourieroux, “Econometrics of Qualitative Dependent
Variables,” Cambridge University Press, Cambridge, 2000.
http://dx.doi.org/10.1017/CBO9780511805608
[2] W. H. Greene, “Econometric Analysis,” Prentice Hall,
Upper Saddle River, 2000.
[3] D. Backus, “Discrete-Time Models of Bond Pricing,”
National Bureau of Economic Research, Working Paper
Series/6736, 1998.
[4] R. D. McKelvey, and W. Zavoina, “A Statistical Model
for the Analysis of Ordinal Level Dependent Variables,”
Journal of Mathematical Sociology, Vol. 4, No. 1, 1975,
pp. 103-120.
[5] R. C. Mittelhammer, G. G. Judge and D. J. Miller, “Eco-
nometric Foundations,” Cambridge University Press, Cam-
bridge, 2000.
[6] J. E. Murphy Jr., “Stock Market Probability: Using Statis-
tics to Predict and Optimize Investment Outcomes,” Re-
vised Edition, Irwin, 1994.
[7] T. Plummer and F. William, “Forecasting Financial Mar-
kets: Technical Analysis and the Dynamics of Price,”
Wiley, 1991.
Open Access IB
An Early Warning Model with Technical Indicators: The Case of Ise (Istanbul Stock Exchange) 183
[8] T. Laitila, “A Pseudo-R2 Measure for Limited and Quali-
tative Dependent Variable Models,” Journal of Econo-
metrics, Vol. 56, No. 3, 1993, pp. 341-345.
[9] R. S. Pindyck and D. L. Rubinfeld, “Econometric Models
and Economic Forecasts,” McGraw-Hill, 1998.
[10] IMKB, 2001. http://www.imkb.gov.tr/endeksler.htm
Open Access IB