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International Research Journal of Engineering and Technology (IRJET) e-ISSN: 2395-0056
Volume: 07 Issue: 03 | Mar 2020 www.irjet.net p-ISSN: 2395-0072
© 2020, IRJET | Impact Factor value: 7.34 | ISO 9001:2008 Certified Journal | Page 2267
STOCK MARKET PREDICTION USING MACHINE LEARNING ALGORITHM
Priyadharshini S1, Rokaiya Ruhana2, Yuvadarani3 ,Mrs. Jacukulin Sam Gini4
1, 2,3,B.Tech Students, Department of Information Technology, Jeppiaar Srr Engineering college, Padur,
Chennai, Tamil Nadu, India
4Asst. Professor, Department of Information Technology, Jeppiaar Srr Engineering College, Padur,
Chennai, Tamil Nadu, India
---------------------------------------------------------------------***----------------------------------------------------------------------
Abstract - stock exchange prediction is that the act of
trying to work out the longer term value of a corporation
stock or other financial instrument traded on a financial
exchange. The successful prediction of a stock's future price
will maximize investor???S gains. This paper proposes a
Machine Learning (ML) approach which will be trained from
available stocks data, gain intelligence then uses the acquired
knowledge for accurate prediction. Afterthethroughresearch
of varied algorithms and their fitness for various problem
domains. The programing language is employedtopredictthe
stock exchange using machine learning is Python. During this
context this study uses a machine learning technique called
Support Vector Machine (SVM)andrectilinearregression (LR)
to predict stock prices for the massiveandlittlecapitalizations
of Stock prices with both daily and up-to-the-minute
frequencies. We are getting to use both data processing
algorithms and that we will decide which algorithm gives the
simplest end in future prediction.
Key Words: Machine Learning, stock exchange,
Predictions, rectilinear regression, Support Vector
Machine.
1. INTRODUCTION
The trend available market predictionisn'tareplacement
thing yet this issue is kept being discussed by the varied
organisation. There are two types to research stocks which
investors perform before investingduringastock,firstisthat
thefundamentalanalysis,duringthisanalysisinvestorscheck
out the intrinsic value of stocks, and performance of the
industry, economy, political climate etc. to make a decision
that whether to take a position or not. On the opposite hand,
the technicalanalysis it'san evolution of stocks by themeans
of studying the statistics generated by market activity, like
past prices and volumes.
Being able to predict accurately the longer term financial
outcomeis like earningpile.Thispaperaimsatanalyzingthis
problem in a tutorial way which provides a special way of
prediction on the market trend. within the recent years,
increasing prominence of machine learning in various
industries have their enlightened many traders to use
machinelearning techniquesto the sector , and a fewofthem
have produced quite promising results. This paper will
develop a Stock data prediction program there'll be dataset
storing all historical stock prices and data are going to be
treated as training sets for the program. This project aims at
developing a program which serve best solution foraccurate
predicted stock result.
Within the beginning Artificial Neural networks (ANNs)
and ARIMA (Auto Regressive Integrated Model) is that the
most ordinarily used techniques. In most cases ANNs suffer
from over-fitting problem thanks to the massive number of
parameters to repair . In most cases ARIMA model are
difficult to know and typically computationally expensive.
Support vector machines (SVM) and rectilinear
regression (LR) had been developed as an alternate that
avoids such limitations. rectilinear regression (LR) is
straightforward to implement and wont to predict numeric
values. Support Vector Machines (SVM) is effective in high
dimensional spaces and works with clear margin of
separation.
Using some rules and predict the longer term price of
shares by calculating an in depth price. within the Real time
prediction compulsoryusedinternetandsawcurrentpriceof
shares of companies. We are getting to use both data
processing algorithms and that we will decide which
algorithm gives the simplest end in future prediction.
2. METHODOLOGY
In this paper the prediction of stock exchange is
completed by the Support Vector Machine (SVM) and
rectilinear regression algorithm.
2.1. Support Vector Machine
A Support Vector Machine(SVM) may be a discriminative
classifier that formally defined by the separatinghyperplane.
In other words, the given labelled training data (supervised
learning), the algorithm outputs the optimal hyperplane
which categorizesnewexamples.withinthetwo-dimensional
space this hyperplane may be a line dividing a plane into two
parts where in each class lay in either side.
Support Vector Machine (SVM) is taken into account to be
together of the foremostsuitable algorithms availableforthe
statistic prediction. This supervised algorithm are often
utilized in both, regression and classification. The SVM
involves plotting of knowledge as point within the space of n
dimensions.
International Research Journal of Engineering and Technology (IRJET) e-ISSN: 2395-0056
Volume: 07 Issue: 03 | Mar 2020 www.irjet.net p-ISSN: 2395-0072
© 2020, IRJET | Impact Factor value: 7.34 | ISO 9001:2008 Certified Journal | Page 2268
These dimensions are theattributesthatareplotted
on particularco-ordinates. SVM algorithm drawsaboundary
over the info set called because the hyper-plane, which
separates the info into two classes as shown within the Fig 1.
Figure -1: The Support Vector Machine deciding
Boundary.
The hyper-plane may be a decision boundary which is
later extended or maximized on either side between the info
points. Considering an equivalent figure, if µ is a few
unknown datum and w is vector which is perpendicular to
the hyper-plane, then the SVM decision rule are going to be
w u (1)
The width w of the hyper-plane must be maximized to
extend the spread
W=[2∕‖w‖] (2)
W=max⁡[2/‖w‖] (3)
Applying LaGrange’s multiplier as
L=0⋅5‖w‖^2→-∑α_i [y_i (ω_j x_i+b)-1] (4)
L=∑α_i- .5∑_i▒∑_j▒〖α_i α_j y_i y_j x_i x_j 〗 (5)
The updated decision rule are going to be
∑α_i y_i x_i u (6)
2.2. Rectilinear regression
Rectilinearregressionisoneamongtheforemostcommon
data processing techniques for predicting the longer term
value of variable supported the linear relationship.Basically,
it assumes there's a line that approximates the info set, and
bases the forecast thereon
Rectilinear regression may be a method wont to model a
relationship between a variable (y), and an experimental
variable (x). with simple rectilinear regression there'll only
be one experimental variable x. There are often many
independent variables which might fall into the category of
multiple rectilinear regression . we will only take one
experimental variable . so as to know rectilinear regression ,
you want to understand a reasonably elementary equation.
one among that defines a straight line:
y = a + bx (1)
Where:
y = the anticipated value or variable
b = the slope of the road .
x = the coefficient or experimental variable .
a = the y-intercept.
Moreover, the smallest amount square method is used
find the regression curve . the smallest amount squares
method is expressed as:
y = a + bx (2)
Where
a=y - x (3)
= n∑xy-∑x∑y / nΣx^2- Σx ^2 (4)
In accordance with this paper, each variabledenotationis
as follows:
y = current market value
x = percentage earning (P.E) ratio
y = ean o urren e o urrent market value
x = ean o urren e o per entage earning . ratio
n = Total number of occurrences of the variables.
Figure 2: example graph for Predicting stock price with
rectilinear regression.
The above figure 2 shows that the rectilinear
regression prediction graph. Like this our outputaregoingto
be come. In rectilinear regression
International Research Journal of Engineering and Technology (IRJET) e-ISSN: 2395-0056
Volume: 07 Issue: 03 | Mar 2020 www.irjet.net p-ISSN: 2395-0072
© 2020, IRJET | Impact Factor value: 7.34 | ISO 9001:2008 Certified Journal | Page 2269
3. ARCHITECTURE DIAGRAM
Figure 3: Architecture of the model
4. IMPLEMENTATION
Stock Dataset iscollected in web like yahoo,chrome, etc...
Initially dataset is to be pre-processed. After Pre-Processing
then to classify the processeddatasets,andit'ssplitintotrain
data and test data. Train data are to be trained under the
certain model of Machine Learning algorithms like Support
Vector Machine (SVM) and rectilinear regression (LR). The
test accuracy are to be calculated by the test data. we'll test
and evaluate both the algorithms with same test data to seek
out their prediction accuracy.
We'll use this data to predictand forecasttheworthofn-
days into the future. Then we'll use the simplest Machine
Learning Algorithm to predict the longertermstockvaluesin
any company stock or other financial instrument traded ona
financial exchange.
The above screen shot shows that some companies
symbol, using that we will collect the previous data sets used
for predicting future values.
SampleparagraphDefineabbreviationsandacronymsthe
first time they are used in the text, even after they have been
defined in the abstract. Abbreviations such as IEEE, SI, MKS,
CGS, sc, dc, and rms do not have to be defined. Do not use
abbreviations in the title or heads unless they are
unavoidable.
5. RESULT
During this paper shows that the simplest accurate
algorithm forlocating stock exchange prediction. Comparing
to both Support Vector Machine (SVM) and rectilinear
regression (LR) find which is that the best accuracy.
rectilinear regression is that the best method to predict the
longer term values because it gives the high accuracy
comparing to SVM.
Results of the model is calculated on the stock data
of the businesses using rectilinear regression algorithm.
Dataset utilized in predictionisobtainedlivedatafromyahoo
Google URL and stored dataset. Graph is plotted showing
prediction accuracy.
Results showed that the accuracy up to 98% is
achieved.
Figure 4: Google stock price prediction using rectilinear
regression algorithm.
6. CONCLUSION
Within the project, we proposed the utilization of the info
collected from different global financial markets with
machinelearningalgorithmssoastopredictthestockmarket
index movements. supported the results shown and
experiments performed, it's evident that input file plays a
crucial role in prediction along side machine learning
techniques.
In this paper, we were ready to use multivariate analysis
as a knowledge mining technique to explain the trends of
stock exchange prices and predict the longer term stock
exchange prices.
Thus, we will see in our proposed method, we train
the info using existing stock dataset that's available. The
current system can updateitstrainingsetaseverydaypasses
so on detect newer trends and predictsstock in real time.We
use this data to predict and forecast the worth of n-days into
the longer term.
7. REFERENCES
[1] Adebiyi AA, Adewumi AO, Ayo CK. ???Comparison of
ARIMA and artificial neural networks models for stock
price prediction,??? Journal of applied math , 2014.
International Research Journal of Engineering and Technology (IRJET) e-ISSN: 2395-0056
Volume: 07 Issue: 03 | Mar 2020 www.irjet.net p-ISSN: 2395-0072
© 2020, IRJET | Impact Factor value: 7.34 | ISO 9001:2008 Certified Journal | Page 2270
[2] Rapach DE, Strauss JK, Zhou G. ???International stock
return predictability: what's the role of the United
States???? The Journal of Finance, vol.68, no.4, pp.1633-
1662, Aug. 2013.
[3] Zhen Hu, Jibe Zhu, and Ken Tse ???Stocks Market
Prediction Using Support Vector Machine???, 6th
International Conference on Information Management,
Innovation Management and industrial management ,
2013.M.
[4] Debashish Das and Mohammad shorif uddin data
processing and neural network techniques available
market prediction: a methodological review,
international journal of AI & applications, vol.4, no.1,
January 2013
[5] Atsalakis GS, Valavanis KP. ???Forecasting stock
exchange short-term trends employing a neuro-fuzzy
based methodology,??? Expert Systems with
Applications, vol.36, no.7, pp.10696-10707, Sep. 2009.
[6] Schumaker R P, Chen H. ???Textual analysis of stock
exchange prediction using breaking financial news: The
AZFin text system,??? ACM Transactions onInformation
Systems (TOIS), vol.27, no.2, pp.12, Feb. 2009.
[7] Ang A, Bekaert G. ???Stock return predictability: Is it
there???? The Review of monetary Studies, vol.20, no.3,
pp.651-707, Jul. 2006
[8] Wei Huang, Yoshiteru Nakamori, Shou-Yang Wang,
???Forecasting stock exchangemovementdirectionwith
support vector machine???, Computers & research ,
Volume 32, Issue 10, October 2005,
[9] Aiolfi M, Favero CA. ???Model uncertainty, thick
modelling and therefore the predictability of stock
returns,??? Journal of Forecasting, vol.24, no.4, pp.233-
254, Jul. 2005.
[10] Huang W, Nakamori Y, Wang SY. ???Forecasting stock
exchange movement direction with support vector
machine,??? Computers & research , vol.32, no.10,
pp.2513-2522, Oct. 2005.
[11] K jae Kim, ???Financial statistic forecasting using
support vector machines,??? Neurocomputing
vol.55,2003.
[12] Qi M. ???Nonlinear predictability of stock returns using
financial and economic variables,??? Journal ofBusiness
& Economic Statistics, vol.17, no.4, pp.419-429, Oct.
1999.
[13] Hinich MJ, Patterson DM. ???Evidence of nonlinearity in
daily stock returns,??? Journal of Business & Economic
Statistics, vol.3, no.1, pp.69- 77, Jan. 1985.
[14] Pesaran MH, Timmermann A. ???Predictability of stock
returns: Robustness and economic significance,??? The
Journal of Finance, vol.50, no.4, pp.1201-1228, Sep.
1995.
[15] N. Ancona, Classification Properties of Support Vector
Machines for Regression, Technical Report,
RIIESI/CNRNr. 02/99.

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IRJET - Stock Market Prediction using Machine Learning Algorithm

  • 1. International Research Journal of Engineering and Technology (IRJET) e-ISSN: 2395-0056 Volume: 07 Issue: 03 | Mar 2020 www.irjet.net p-ISSN: 2395-0072 © 2020, IRJET | Impact Factor value: 7.34 | ISO 9001:2008 Certified Journal | Page 2267 STOCK MARKET PREDICTION USING MACHINE LEARNING ALGORITHM Priyadharshini S1, Rokaiya Ruhana2, Yuvadarani3 ,Mrs. Jacukulin Sam Gini4 1, 2,3,B.Tech Students, Department of Information Technology, Jeppiaar Srr Engineering college, Padur, Chennai, Tamil Nadu, India 4Asst. Professor, Department of Information Technology, Jeppiaar Srr Engineering College, Padur, Chennai, Tamil Nadu, India ---------------------------------------------------------------------***---------------------------------------------------------------------- Abstract - stock exchange prediction is that the act of trying to work out the longer term value of a corporation stock or other financial instrument traded on a financial exchange. The successful prediction of a stock's future price will maximize investor???S gains. This paper proposes a Machine Learning (ML) approach which will be trained from available stocks data, gain intelligence then uses the acquired knowledge for accurate prediction. Afterthethroughresearch of varied algorithms and their fitness for various problem domains. The programing language is employedtopredictthe stock exchange using machine learning is Python. During this context this study uses a machine learning technique called Support Vector Machine (SVM)andrectilinearregression (LR) to predict stock prices for the massiveandlittlecapitalizations of Stock prices with both daily and up-to-the-minute frequencies. We are getting to use both data processing algorithms and that we will decide which algorithm gives the simplest end in future prediction. Key Words: Machine Learning, stock exchange, Predictions, rectilinear regression, Support Vector Machine. 1. INTRODUCTION The trend available market predictionisn'tareplacement thing yet this issue is kept being discussed by the varied organisation. There are two types to research stocks which investors perform before investingduringastock,firstisthat thefundamentalanalysis,duringthisanalysisinvestorscheck out the intrinsic value of stocks, and performance of the industry, economy, political climate etc. to make a decision that whether to take a position or not. On the opposite hand, the technicalanalysis it'san evolution of stocks by themeans of studying the statistics generated by market activity, like past prices and volumes. Being able to predict accurately the longer term financial outcomeis like earningpile.Thispaperaimsatanalyzingthis problem in a tutorial way which provides a special way of prediction on the market trend. within the recent years, increasing prominence of machine learning in various industries have their enlightened many traders to use machinelearning techniquesto the sector , and a fewofthem have produced quite promising results. This paper will develop a Stock data prediction program there'll be dataset storing all historical stock prices and data are going to be treated as training sets for the program. This project aims at developing a program which serve best solution foraccurate predicted stock result. Within the beginning Artificial Neural networks (ANNs) and ARIMA (Auto Regressive Integrated Model) is that the most ordinarily used techniques. In most cases ANNs suffer from over-fitting problem thanks to the massive number of parameters to repair . In most cases ARIMA model are difficult to know and typically computationally expensive. Support vector machines (SVM) and rectilinear regression (LR) had been developed as an alternate that avoids such limitations. rectilinear regression (LR) is straightforward to implement and wont to predict numeric values. Support Vector Machines (SVM) is effective in high dimensional spaces and works with clear margin of separation. Using some rules and predict the longer term price of shares by calculating an in depth price. within the Real time prediction compulsoryusedinternetandsawcurrentpriceof shares of companies. We are getting to use both data processing algorithms and that we will decide which algorithm gives the simplest end in future prediction. 2. METHODOLOGY In this paper the prediction of stock exchange is completed by the Support Vector Machine (SVM) and rectilinear regression algorithm. 2.1. Support Vector Machine A Support Vector Machine(SVM) may be a discriminative classifier that formally defined by the separatinghyperplane. In other words, the given labelled training data (supervised learning), the algorithm outputs the optimal hyperplane which categorizesnewexamples.withinthetwo-dimensional space this hyperplane may be a line dividing a plane into two parts where in each class lay in either side. Support Vector Machine (SVM) is taken into account to be together of the foremostsuitable algorithms availableforthe statistic prediction. This supervised algorithm are often utilized in both, regression and classification. The SVM involves plotting of knowledge as point within the space of n dimensions.
  • 2. International Research Journal of Engineering and Technology (IRJET) e-ISSN: 2395-0056 Volume: 07 Issue: 03 | Mar 2020 www.irjet.net p-ISSN: 2395-0072 © 2020, IRJET | Impact Factor value: 7.34 | ISO 9001:2008 Certified Journal | Page 2268 These dimensions are theattributesthatareplotted on particularco-ordinates. SVM algorithm drawsaboundary over the info set called because the hyper-plane, which separates the info into two classes as shown within the Fig 1. Figure -1: The Support Vector Machine deciding Boundary. The hyper-plane may be a decision boundary which is later extended or maximized on either side between the info points. Considering an equivalent figure, if µ is a few unknown datum and w is vector which is perpendicular to the hyper-plane, then the SVM decision rule are going to be w u (1) The width w of the hyper-plane must be maximized to extend the spread W=[2∕‖w‖] (2) W=max⁡[2/‖w‖] (3) Applying LaGrange’s multiplier as L=0⋅5‖w‖^2→-∑α_i [y_i (ω_j x_i+b)-1] (4) L=∑α_i- .5∑_i▒∑_j▒〖α_i α_j y_i y_j x_i x_j 〗 (5) The updated decision rule are going to be ∑α_i y_i x_i u (6) 2.2. Rectilinear regression Rectilinearregressionisoneamongtheforemostcommon data processing techniques for predicting the longer term value of variable supported the linear relationship.Basically, it assumes there's a line that approximates the info set, and bases the forecast thereon Rectilinear regression may be a method wont to model a relationship between a variable (y), and an experimental variable (x). with simple rectilinear regression there'll only be one experimental variable x. There are often many independent variables which might fall into the category of multiple rectilinear regression . we will only take one experimental variable . so as to know rectilinear regression , you want to understand a reasonably elementary equation. one among that defines a straight line: y = a + bx (1) Where: y = the anticipated value or variable b = the slope of the road . x = the coefficient or experimental variable . a = the y-intercept. Moreover, the smallest amount square method is used find the regression curve . the smallest amount squares method is expressed as: y = a + bx (2) Where a=y - x (3) = n∑xy-∑x∑y / nΣx^2- Σx ^2 (4) In accordance with this paper, each variabledenotationis as follows: y = current market value x = percentage earning (P.E) ratio y = ean o urren e o urrent market value x = ean o urren e o per entage earning . ratio n = Total number of occurrences of the variables. Figure 2: example graph for Predicting stock price with rectilinear regression. The above figure 2 shows that the rectilinear regression prediction graph. Like this our outputaregoingto be come. In rectilinear regression
  • 3. International Research Journal of Engineering and Technology (IRJET) e-ISSN: 2395-0056 Volume: 07 Issue: 03 | Mar 2020 www.irjet.net p-ISSN: 2395-0072 © 2020, IRJET | Impact Factor value: 7.34 | ISO 9001:2008 Certified Journal | Page 2269 3. ARCHITECTURE DIAGRAM Figure 3: Architecture of the model 4. IMPLEMENTATION Stock Dataset iscollected in web like yahoo,chrome, etc... Initially dataset is to be pre-processed. After Pre-Processing then to classify the processeddatasets,andit'ssplitintotrain data and test data. Train data are to be trained under the certain model of Machine Learning algorithms like Support Vector Machine (SVM) and rectilinear regression (LR). The test accuracy are to be calculated by the test data. we'll test and evaluate both the algorithms with same test data to seek out their prediction accuracy. We'll use this data to predictand forecasttheworthofn- days into the future. Then we'll use the simplest Machine Learning Algorithm to predict the longertermstockvaluesin any company stock or other financial instrument traded ona financial exchange. The above screen shot shows that some companies symbol, using that we will collect the previous data sets used for predicting future values. SampleparagraphDefineabbreviationsandacronymsthe first time they are used in the text, even after they have been defined in the abstract. Abbreviations such as IEEE, SI, MKS, CGS, sc, dc, and rms do not have to be defined. Do not use abbreviations in the title or heads unless they are unavoidable. 5. RESULT During this paper shows that the simplest accurate algorithm forlocating stock exchange prediction. Comparing to both Support Vector Machine (SVM) and rectilinear regression (LR) find which is that the best accuracy. rectilinear regression is that the best method to predict the longer term values because it gives the high accuracy comparing to SVM. Results of the model is calculated on the stock data of the businesses using rectilinear regression algorithm. Dataset utilized in predictionisobtainedlivedatafromyahoo Google URL and stored dataset. Graph is plotted showing prediction accuracy. Results showed that the accuracy up to 98% is achieved. Figure 4: Google stock price prediction using rectilinear regression algorithm. 6. CONCLUSION Within the project, we proposed the utilization of the info collected from different global financial markets with machinelearningalgorithmssoastopredictthestockmarket index movements. supported the results shown and experiments performed, it's evident that input file plays a crucial role in prediction along side machine learning techniques. In this paper, we were ready to use multivariate analysis as a knowledge mining technique to explain the trends of stock exchange prices and predict the longer term stock exchange prices. Thus, we will see in our proposed method, we train the info using existing stock dataset that's available. The current system can updateitstrainingsetaseverydaypasses so on detect newer trends and predictsstock in real time.We use this data to predict and forecast the worth of n-days into the longer term. 7. REFERENCES [1] Adebiyi AA, Adewumi AO, Ayo CK. ???Comparison of ARIMA and artificial neural networks models for stock price prediction,??? Journal of applied math , 2014.
  • 4. International Research Journal of Engineering and Technology (IRJET) e-ISSN: 2395-0056 Volume: 07 Issue: 03 | Mar 2020 www.irjet.net p-ISSN: 2395-0072 © 2020, IRJET | Impact Factor value: 7.34 | ISO 9001:2008 Certified Journal | Page 2270 [2] Rapach DE, Strauss JK, Zhou G. ???International stock return predictability: what's the role of the United States???? The Journal of Finance, vol.68, no.4, pp.1633- 1662, Aug. 2013. [3] Zhen Hu, Jibe Zhu, and Ken Tse ???Stocks Market Prediction Using Support Vector Machine???, 6th International Conference on Information Management, Innovation Management and industrial management , 2013.M. [4] Debashish Das and Mohammad shorif uddin data processing and neural network techniques available market prediction: a methodological review, international journal of AI & applications, vol.4, no.1, January 2013 [5] Atsalakis GS, Valavanis KP. ???Forecasting stock exchange short-term trends employing a neuro-fuzzy based methodology,??? Expert Systems with Applications, vol.36, no.7, pp.10696-10707, Sep. 2009. [6] Schumaker R P, Chen H. ???Textual analysis of stock exchange prediction using breaking financial news: The AZFin text system,??? ACM Transactions onInformation Systems (TOIS), vol.27, no.2, pp.12, Feb. 2009. [7] Ang A, Bekaert G. ???Stock return predictability: Is it there???? The Review of monetary Studies, vol.20, no.3, pp.651-707, Jul. 2006 [8] Wei Huang, Yoshiteru Nakamori, Shou-Yang Wang, ???Forecasting stock exchangemovementdirectionwith support vector machine???, Computers & research , Volume 32, Issue 10, October 2005, [9] Aiolfi M, Favero CA. ???Model uncertainty, thick modelling and therefore the predictability of stock returns,??? Journal of Forecasting, vol.24, no.4, pp.233- 254, Jul. 2005. [10] Huang W, Nakamori Y, Wang SY. ???Forecasting stock exchange movement direction with support vector machine,??? Computers & research , vol.32, no.10, pp.2513-2522, Oct. 2005. [11] K jae Kim, ???Financial statistic forecasting using support vector machines,??? Neurocomputing vol.55,2003. [12] Qi M. ???Nonlinear predictability of stock returns using financial and economic variables,??? Journal ofBusiness & Economic Statistics, vol.17, no.4, pp.419-429, Oct. 1999. [13] Hinich MJ, Patterson DM. ???Evidence of nonlinearity in daily stock returns,??? Journal of Business & Economic Statistics, vol.3, no.1, pp.69- 77, Jan. 1985. [14] Pesaran MH, Timmermann A. ???Predictability of stock returns: Robustness and economic significance,??? The Journal of Finance, vol.50, no.4, pp.1201-1228, Sep. 1995. [15] N. Ancona, Classification Properties of Support Vector Machines for Regression, Technical Report, RIIESI/CNRNr. 02/99.