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STS425 Nur I. et al.



                           On monitoring stock price movements using
                                     Markov Switching Model
                                  NUR Iriawan , Wiwik Prihartanti
                                              1
                                                                 2
               1  Department of Statistics, Faculty of Mathematics, Computing, and Data Science, Institut
                           Teknologi Sepuluh Nopember, 60111 Surabaya, Indonesia.
              2  Department of Business Administration, Faculty of Social and Political Science, Universitas
                                 WR Supratman, 60111 Surabaya, Indonesia.

            Abstract
            Stock price movements and interest rate fluctuations have always been the
            attention of investors in the capital market. Lower interest rates will reduce
            interest in investment instruments in banks. That way, investment instruments
            in the capital market will be more attractive and much in demand. Optimal
            modeling that can help monitor stock price movements, therefore, is needed.
            One of them is the proposed Markov Switching model, which can be coupled
            with the first step analysis to detect the price change patterns. Then, in turn,
            the  average  run  length  that  the  price  will  stay  at  the  same  price  can  be
            calculated. A combination of the probability switching pattern and the average
            run length can be used as a basis for determining the predicted price of the
            stock later. The combination of these two methods, furthermore, will further
            sharpen the ability of investors to place their investments in a more profitable
            position.

            Keywords
            Markov Switching Model, EM Algorithm, Regime model, probability switching
            pattern, Average Run Length

            1.  Introduction
                The main measure of transaction liquidity is the value of transactions in
            the regular  market. This measurement is always developed to sharpen the
            criteria for stock liquidity, including measuring the number of trading days and
            the frequency of transactions into this measure of liquidity. The movement of
            stock prices is often also used as a way of supporting in seeing transaction
            liquidity. LQ45 is one index made by the Indonesia Stock Exchange (IDX). This
            index comes from the calculation of 45 issuers which meet the criteria for
            assessing liquidity and taking into account market capitalization. The list of
            shares is periodically updated every six months, namely the period August-
            January and February-July. Stocks that have a good performance in meeting
            the LQ45 liquidity criteria will be selected to enter the list of shares in LQ45
            replacing  stocks  whose  performance  has  declined  and  does  not  meet  the
            criteria for liquidity. This is due to, among others, the influence of changes in

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