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  <front>
    <journal-meta />
    <article-meta>
      <title-group>
        <article-title>Application of Data Mining to Exchange Rate Influence Identification</article-title>
      </title-group>
      <contrib-group>
        <aff id="aff0">
          <label>0</label>
          <institution>Lviv Polytechnic National University</institution>
          ,
          <addr-line>Lviv</addr-line>
          ,
          <country country="UA">Ukraine</country>
        </aff>
      </contrib-group>
      <fpage>0000</fpage>
      <lpage>0001</lpage>
      <abstract>
        <p>The growth of data sets requires new approaches to analyzing and processing them. Effective use of Data Mining is the basis for managerial decision making in various fields. Data Mining using potential in the economic sphere has been investigated to identify the impact of the exchange rate on economic development indicators, as well as to generate an array of forecast data and to work with them. The main focus of the research is on analyzing the impact of the National Bank of Ukraine (NBU) international reserves management on macroeconomic indicators using Data Mining. The links between the exchange rate and the international reserves, inflation, the PFTS index were analyzed, as well as the change in the GDP and current account balance of Ukraine in the key periods of the research. The regression method was used to establish appropriate links between the indicators. The results of the study will allow improving the monetary policy of the NBU in terms of achieving strategic goals, in particular economic growth.</p>
      </abstract>
      <kwd-group>
        <kwd>Data Mining</kwd>
        <kwd>data analysis</kwd>
        <kwd>information technology</kwd>
        <kwd>monetary policy</kwd>
        <kwd>bank</kwd>
        <kwd>exchange rate</kwd>
        <kwd>GDP</kwd>
      </kwd-group>
    </article-meta>
  </front>
  <body>
    <sec id="sec-1">
      <title>-</title>
      <p>Data Mining’s multidisciplinary allows applying statistics methods and database theory
for the needs of different spheres of public life, in particular economy. Therefore, the
results of the Data Mining for exchange rate influence identification research can be
used as informational support for such types of Data Mining systems as case-based
decision-making systems. Today, Data Mining systems are increasingly used to predict
the socio-economic behavior of business entities at the macro and micro levels.
Analysis of expediency and effectiveness of the NBU separate monetary and credit policy
measures in 2013-2019 and 2019 will allow us to assess the level of the NBU monetary
policy efficiency and its impact on the economic development of Ukraine. We will
analyze use of international reserves to maintain the UAH / USD exchange rate stability
using Data Mining methods.</p>
    </sec>
    <sec id="sec-2">
      <title>The Problem of the Relationship with Important Scientific and Practical Tasks</title>
      <p>Data Mining systems are used for both research and modeling of alternative
development scenarios. This is important for an economy whose decision-making is based on
analyzing big historical data. In modern economic environment, which is characterized
by increasing globalization processes, it is becoming increasingly important to
implement the best global practices of monetary regulation by central banks, since monetary
policy of central banks is one of the most important factors of investment activity and
economic growth of national economies. The recent change in the regime of monetary
regulation in Ukraine is a consequence of the implementation of the above processes
by the NBU. Changes in monetary policy over recent years have inevitably been
accompanied by changes in the economy. Thus, it’s important to research the peculiarities
of the impact of monetary policy instruments on the economy in general and the
effectiveness of the application of certain monetary instruments by the NBU in particular
using Data Mining methods.
3</p>
    </sec>
    <sec id="sec-3">
      <title>Recent Research and Publications Analysis</title>
      <p>
        Data mining is increasingly used to analyze big data sets. The newest information
technologies allow the use of Data Mining in various spheres of public life, in particular in
the economy. Early researches in Data Mining were about principles, methods,
technologies and tools [18-20]. Later, the application of Data Mining in the applied fields
of public life has become very relevant. Scientific researchers have extended the scope
of interest to the possibility of using Data Mining in the economy. Data Revolution and
Economic Analysis is the subject of L. Einav, J. Levin research [
        <xref ref-type="bibr" rid="ref3">3</xref>
        ]. Data Mining using
for market modeling investigated by V. O. Bilenko [
        <xref ref-type="bibr" rid="ref1">1</xref>
        ]. However, Data Mining
researches in the IT field are basically traditional [7, 14]. Central bank’s monetary policy
researches, their impact on the economy as a whole and the NBU in particular were
made by a number of economists. Specifically, V. S. Stelmakh [15] explores the current
methodology of the NBU monetary policy. The issue of regulation of the NBU on the
intensity of use of foreign currency, in particular the US dollar, in the economy of
Ukraine, which directly affects the level of its dollarization, has been investigated in [4,
p. 362-370]. U. M. Nikonenko and O. I. Kopylyuk focus attention on priorities changes
of the NBU monetary policy [11]. V. Korneyev [5, p.30-33] examines the monetary
policy instruments as tools of economic development stimulation in the crisis period.
O. Shcherbakova [13] examines the NBU new monetary regime theoretical foundations
and the use of exchange rate policy in its context. O. Petryk, S. Nikolaychuk [12,
p.1220] explore the possibility to use the transmission mechanism model of Ukraine
monetary policy. S. V. Mishchenko [10, p. 12-20] review modern approaches to the GDP
implementation in the financial system regulation context. T. V. Melnyk identified
weaknesses in monetary regulation and developed a number of recommendations for
improving the use of monetary regulation tools [9, p. 113-119].
      </p>
    </sec>
    <sec id="sec-4">
      <title>Problems Selection</title>
      <p>The main problem with the using of Data Mining’s systems to identify regularities in
the economy is the establishment of logical algorithms and if-then-rules, as well as the
interpretation of the identified regularities, while the classic problem of sorting options
in a reasonable time is less relevant. The results of such algorithms are effective, but
the behavioral characteristics of the economy cause additional requirements for
interpreting the results. Thus, modern economists fully explore as general the GDP
formation theoretical aspects as some practical aspects of monetary policy specific
instruments and monetary policy influence models on the economy growth. However, it
should be noted that there is a lack of possibilities coverage and consequences of such
monetary policy instruments using as the international reserves management in the
NBU activities. There is not clearly described the specific and consequences of the
NBU use that monetary policy instrument in 2019 in the condition of inflation targeting
regime in resent scientific research.</p>
      <p>After the literature analyzing, we found there was no researches about the
management practical aspects of using Data Mining methods to find link between the NBU
international reserves regulation and the national currency exchange rate regulation.
And there was nothing about determining the impact of the UAH to USD exchange rate
on the main macroeconomic indicators changes using Data Mining methods.</p>
    </sec>
    <sec id="sec-5">
      <title>Goals Formulation 5 6</title>
      <p>The goal of the research is to approve the exchange rate influence on macroeconomic
indicators by Data Mining methods, including statistical methods. The objectives of
this research are revelation of international reserves management theoretical and
applied bases as instrument NBU monetary policy realization; revealing the link between
the NBU international reserves and UAH / USD exchange rate; definition of influence
UAH / USD exchange rate changing on macroeconomic indicators changes using Data
Mining.</p>
    </sec>
    <sec id="sec-6">
      <title>Research Results Analysis</title>
      <p>Data Mining is a special approach to data analysis, because the main task is not to obtain
facts, but to generate and hypothesize, by looking into the unstructured data of the
hidden regularities required for management decisions. In the research there is used the
capabilities of Data Mining through the traditional analysis tools such as mathematical
statistics (regression, correlation, time series analysis) for exchange rate influence
identification.</p>
      <p>Monetary policy is a complex of measures in the field of money circulation and
credit, aimed at the stability of the Ukraine monetary unit ensuring through certain tools
and methods using [16]. The goals of the monetary policy are achievement certain
macroeconomic indicators that are determined by the monetary authorities and are
solved by monetary methods.</p>
      <p>There are following economic-mathematical Data Mining methods in the research:
the least square method, correlation and regression indices, Fisher’s ratio test to check
model adequacy.</p>
      <p>The regression analysis models and methods are central in the econometrics
mathematical tool. The regression analysis task is to detect forms of dependence between
variables, to evaluate the regression function, to forecast values of the dependent
vari</p>
      <p>Least Squares Method is the method of approximate solution surplus-defined
system. It is often used in regression analysis. In practice, the linear least squares method
is most often used in the case of linear equations system [8].</p>
      <p>The function is described by formula:
able.</p>
      <p>Where:
 =  0 +  1
 0 =
 1 =
∑  − 1 2</p>
      <p>∑ 
∑  ∑  −∑ 
∑  2−∑  2

n – number of variable pairs.</p>
      <p>Correlation (correlation dependence) is the statistical link between two or more random
variables. At the same time, changes in the one or more values of these quantities are
accompanied with systematic change in the values of another or other variables. The
mathematical measure of two random variables correlation is the correlation link or
correlation coefficient.</p>
      <p>The correlation coefficient indicates the density of communication between the
variables. It ranges from 0 to 1, where “1” is the highest density of communication, and
“0” indicates that variables are probably independent.</p>
      <p>It is calculated with the formula:</p>
      <p>R =
∑(  − ̅)2
(  − ̅)2
n
Yi – value of a dependent variable in the “i” period; ̅Y – average arithmetic value of
sample</p>
      <p>∑   ;   – calculated (theoretical) value of the dependent variable in the “i”
period; n – number sample elements.</p>
      <p>The regression coefficient shows a link existence between variables. It ranges from -1
to 1, where “0” means there is no connection; “-1” means reversed functional
connection; “1” means functional connection.</p>
      <p>It is calculated with the formula:
(1)
(2)
(3)
(4)
(5)
(6)
r =
∑(  − ̅)∗(  − ̅)
√(  − ̅)2∗(  − ̅)2</p>
      <p>−̅
  – factor determination value in the “i” period; ̅X – average arithmetic factor
determination value.</p>
      <p>Fisher’s ratio test is used to check model adequacy; it means whether the analytical
model corresponds to reality. The model is considered adequate if Fisher calculated
value is higher than Fisher theoretical value (from directories). Fisher calculated value
can be gotten with the formula:
 1 and  2 - degrees of freedom;  1 - number of dependent variables;
 2 =  −  1 − 1.</p>
      <p>The exchange rate is a currency price of the country, expressed in the currency of
another country. The exchange rate as the price of any ordinary commodity has its basis
cost and it varies depending on supply and demand.</p>
      <p>The exchange rate has a number of important economic functions:
─ overcoming national currency constraints;
─ local value of a monetary unit becomes international;
─ it is as a tool of monetary relations internationalization;
─ promotes the formation of an integrated global money system.</p>
      <p>A state influences on exchange rate through operations of central issuing banks with
interest policy and currency intervention using.</p>
      <p>Interest policy – is a change in the interest rate of the central bank with local
regulations for exchange rate effects on short-term capital movement.</p>
      <p>Currency intervention – is a direct intervention of the country central bank in the
foreign exchange market functioning through a foreign currency purchase and sale in
order to influence the national currency rate. Foreign currency demand and supply
balance occurs when bank buys and sells foreign currency which also leads to limitation
in changing of the national monetary unit currency exchange rate.</p>
      <p>In recent years, the NBU has moved to a floating exchange rate, which is set on the
basis of supply and demand in the foreign exchange market. There have also been
changes in the NBU monetary policy and its approaches to controlling inflation.
Therefore, we consider it relevant to carry out a similar research of the impact of the NBU
international reserves management in the conditions of free capital movement and
floating exchange rate.</p>
      <p>
        It is necessary to analyze the reliance between the international reserves and the
UAH / USD exchange rate in 2013-2019 (Fig. 1, Fig. 2) [10].
Thus, we can calculate indicators: r = -0.2350. As we see, there is a very weak link
between the indicators. And we will get resulting model with main parametric variable
а0 = 2636.5, a1 = -37.907:
 = 2636.5 – 37.907Х
(7)
This model is proved to be inadequate because the correlation coefficient between the
calculated values and the actual R = 0.0552 indicates weak density of communication;
calculated Fisher’s criterion is equal to 0,292 what is less than theoretical Fisher’s
criterion (0.95) [
        <xref ref-type="bibr" rid="ref2">2</xref>
        ] (for k1 = 1, k2 = 5) is equal 6.61.
      </p>
      <p>The link between international reserves and UAH / USD exchange rate was missed
during the investigated period.</p>
      <p>
        However, the NBU made significant efforts to support the exchange rate stability at
the cost of international reserves in 2019. To check that we will analyze the link
between international reserves and the UAH / USD exchange rate. The basic data are
represented in the Table 1 [10].
We got the following results: r = -0.6378. We can summarize of the estimated data
presented above that there is significant link between international reserves and
UAH/USD exchange rate in 2019. Regression coefficient confirms the existence of
reversed connection. It confirms to us that the NBU used its reserves for course support.
So we got resulting model with main parametric variable а0 = 4682.931, a1 = -98.235:
У = 4682.931 – 98.235Х
(8)
This model is adequate because the correlation coefficient between the theoretical and
actual values of the variable R = 0.4068; calculated Fisher’s criterion is equal to 5.49
what is more than theoretical Fisher’s criterion (0.95) (for k1 = 1, k2 = 8) is equal 5.32
[
        <xref ref-type="bibr" rid="ref2">2</xref>
        ]. So, in 2019 the NBU used significant accumulated reserves to ensure the financial
stability.
      </p>
      <p>
        Also we can use basic data to confirm the link between UAH / USD exchange rate
and consumer price index. We got the following results: r = -0.3352. So, the link
between the UAH / USD exchange rate and the consumer price index is close to reverse
functional connection. We got resulting model with main parametric variable а0 =
109.839, a1 = -0.003:
У = 109.839 – 0.003Х
(9)
This model is not adequate because the correlation coefficient R = 0.1123 doesn’t show
significant density between the theoretical and actual values of the variable and
calculated Fisher`s criterion is equal to 1.01 what is less than theoretical Fisher`s criterion
(0.95) (for k1 = 1, k2 = 8) is equal 5.32 [
        <xref ref-type="bibr" rid="ref2">2</xref>
        ].
      </p>
      <p>Thus, we see that the NBU doesn’t use foreign exchange intervention to keep the
exchange rate. Today, the NBU’s monetary instruments are aimed at achieving the
inflation target rather than regulating the hryvnia exchange rate. This is proved by the
results of the research. The link between the UAH / USD exchange rate and the PFTS
index is calculated according to the data in Table 1.</p>
      <p>We got the following results: r = 0.8601. Therefore, the link between the
UAH / USD exchange rate and the PFTS index is close to direct functional
interconnections, because r &gt; 0.85.</p>
      <p>
        In addition, we got the model with parameters a0 = 284.620, a1 = 0.101:
У = 284.620 + 0.101Х
(10)
The model is adequate, because correlation coefficient between the calculated and
actual values of the PFTS index R = 0.7398 means a significant density, and calculated
Fisher’s criterion is equal to 22.75 and it is more than theoretical Fisher’s criterion
(0.95) (for k1 = 1, k2 = 8) is equal 5.32 [
        <xref ref-type="bibr" rid="ref2">2</xref>
        ].
      </p>
      <p>Consequently, the NBU stimulated Ukrainian stock markets activities thru keeping
up the hryvnia exchange rate. The existence of inverse interconnections between these
indicators, the more UAH exchange rate goes down against the USD, the worse the
stock markets situation is. This is the case, in particular, of foreign investors for whom
it is not profitable to invest when currency fluctuates.</p>
      <p>The NBU actions are aimed at stimulating the stock market today. First of all, this is
reflected in the fact that the main instrument of monetary policy is the interest rate.</p>
      <p>Dynamics of the UAH to USD exchange rate, the NBU international reserves and
current account balance in 2019 are in Table 2.
In 2019, there was the simultaneous increase in international reserves and the negative
current account balance in Ukraine. At the same time, the UAH / USD exchange rate
decreased. Therefore, it can be argued that the NBU does not use the international
reserves management neither to repay the negative current account balance nor to
maintain the Exchange rate.</p>
      <p>Dynamics of the UAH / USD exchange rate, the NBU international reserves and the
GDP of Ukraine in 2019 are in Table 3.</p>
      <p>As we can see, in 2019, the NBU replenished its international reserves, which
occurred in the context of a decline in the exchange rate, GDP growth and moderate
inflation. Under the new monetary regime, the NBU does not use the international
reserves management to stimulate the economy or to regulate the exchange rate. In fact,
the NBU is a price-taker in the foreign exchange market and helps to smooth the
exchange rate volatility, but does not define it.</p>
      <p>Exchange Nominal Change in real GDP
rate, UAH / GDP, million tPhreiceenidndoefx at (% to the
correspond100 USD UAH quarter, %
One of the conditions for the effective development of the modern economy is the
ability to form, analyze big data sets, as well as interpret the identified regularities, which
is possible by the use of Data Mining.</p>
      <p>Thus, there is analyzed the interconnection between the international reserves
dynamics and UAH to USD exchange rate in this research. The effect of the hryvnia
exchange rate changes on the country economic development main macroeconomic
indicators (consumer price index, PFTS indices, balance of payments and GDP) was also
analyzed.</p>
      <p>While there has been no interconnection between UAH to USD exchange rate and
international reserves dynamics in years (2013-2019), there is a clear link between these
indicators in 2019.</p>
      <p>In particular, the links between the consumer price indices and the PFTS index show
us the viability and effectiveness of such the NBU actions. Thus, we can make
conclusions about the extremely negative consequences for Ukraine economic development
in case if the NBU will continue to use international reserves managing tool as the only
one factor of influence on the UAH exchange rate with decreasing the reserves amount.
Therefore, the necessary influence measures is application of all monetary policy use
and the maximum convergence of goals and tools as monetary as fiscal state policy to
stimulate country economic growth and to ensure UAH exchange rate stabilization.</p>
      <p>However, the impact of monetary instruments on macroeconomic indicators is
different, which requires its obligatory Data Mining analysis and consideration when
making strategic decisions on economic regulation.
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