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  <front>
    <journal-meta />
    <article-meta>
      <title-group>
        <article-title>Big Data Analysis for Structuring FX Market Volatility due to Financial Crises and Exchange Rate Overshooting</article-title>
      </title-group>
      <contrib-group>
        <contrib contrib-type="author">
          <string-name>Oleh Veres</string-name>
          <email>oleh.m.veres@lpnu.ua</email>
          <xref ref-type="aff" rid="aff0">0</xref>
        </contrib>
        <contrib contrib-type="author">
          <string-name>Pavlo Ilchuk</string-name>
          <email>pavlo.g.ilchuk@lpnu.ua</email>
          <xref ref-type="aff" rid="aff0">0</xref>
        </contrib>
        <contrib contrib-type="author">
          <string-name>Olha Kots</string-name>
          <email>olha.o.kots@lpnu.ua</email>
          <xref ref-type="aff" rid="aff0">0</xref>
        </contrib>
        <contrib contrib-type="author">
          <string-name>Lidiia Bondarenko</string-name>
          <email>lidiia.p.bondarenko@lpnu.ua</email>
          <xref ref-type="aff" rid="aff0">0</xref>
        </contrib>
        <aff id="aff0">
          <label>0</label>
          <institution>Lviv Polytechnic National University</institution>
          ,
          <addr-line>Stepana Bandery str. 12, Lviv, 79013</addr-line>
          ,
          <country country="UA">Ukraine</country>
        </aff>
      </contrib-group>
      <abstract>
        <p>Big Data Analysis is used in various spheres. Financial crises, which are an integral part of the modern economy, require new approaches to analysis. The research hypothesizes the existence of a link between financial crises and shocks in foreign exchange (FX) market, and it is proven using Big Data Analysis information technology. The information base of the research was data on exchange rate fluctuations during the financial crises in Ukraine (2008, 2015, 2020), as well as similar data on COVID-19 Pandemic Crisis in Ukraine, Russia, Belarus, Georgia and Poland. In the course of the research, data structuring, data visualization, analysis of statistical links and regularities among data series were performed, in particular, using Fstatistics and Student's t-test. The results of the research have showed that the Big Data Analysis makes it possible to identify trends in unstructured and poorly structured data, in particular regarding exchange rate fluctuations.</p>
      </abstract>
      <kwd-group>
        <kwd>1 Data Analysis</kwd>
        <kwd>Big Data</kwd>
        <kwd>financial crisis</kwd>
        <kwd>panic</kwd>
        <kwd>exchange rate overshooting</kwd>
        <kwd>volatility</kwd>
        <kwd>FX market</kwd>
        <kwd>COVID-19 Pandemic Crisis</kwd>
      </kwd-group>
    </article-meta>
  </front>
  <body>
    <sec id="sec-1">
      <title>1. Introduction</title>
      <p>
        Historically, there has been clear evidence of exchange rate overshooting during episodes of
macroeconomic turbulence or crisis. Exchange rate overshooting refers to the phenomenon in which
the initial (short-run) depreciation rate is larger than the long-run depreciation rate. In other words, the
post-crisis exchange rate tends to be lower than the short run peak level [
        <xref ref-type="bibr" rid="ref9">9</xref>
        ].
      </p>
      <p>The economic crisis triggered by COVID-19 in early 2020 is a clear example of the country's
financial system's ability to cope with financial shocks. Despite that the crisis causes arose outside the
economic, the ability to overcome its negative effects and the time lag needed to stabilize the FX market
in many countries were quite similar.</p>
      <p>It is possible to understand the links between the phenomena caused by different factors, occurring
in different countries and at different time intervals by using Big Data information technology. This
technology allows to analyze large amounts of accumulated unstructured data and draw conclusions
about the existence of links between fragments of information [18].</p>
    </sec>
    <sec id="sec-2">
      <title>2. Literature review and research relevance</title>
      <p>
        Big Data Analysis is used in various spheres, also it can be used in the research of economic
phenomena and processes. L. Einav and J. Levin [
        <xref ref-type="bibr" rid="ref7">7</xref>
        ] interpret the application of Big Data Analysis in
economics as data revolution in economic analysis. The methods of Big Data Analysis are thoroughly
described in the works of L. Bychkovska-Lipinska, Y. Bolubash, V. Lytvyn, I. Rishnyak, H. Rishnyak,
N. Shakhovska, V. Vysotska, O. Veres, [18, 19, 27, 30]. Features of Big Data and prospects of its impact
on live, work, and think are revealed by V. Mayer-Schonberger and K. Cukier [21]. Using SMART Big
Data, analytics and metrics to make better decisions and improve performance is proposed by B. Marr
[20]. Big Data Dimensional Analysis is thoroughly researched by V. Gadepally and J. Kepner [11].
Technologies based on Big Data Analysis are used by V. Lytvyn, V. Vysotska and A. Rzheuskyi [17]
for specialists’ recruitment procedures and by V. Vysotska, V. Lytvyn, V. Danylyk , S. Vyshemyrska,
M. Luchkevych and I. Lurie [33] for detecting items with the biggest weight.
      </p>
      <p>Summing up the analysis of scientific publications on Big Data Analysis, we can say about the high
attention to this information technology, its thorough detailing and the possibility of its practical
application for data analysis during financial crises.</p>
      <p>
        Research on exchange rate dynamics and the overshooting hypothesis has been relevant for decades.
The same named work by J. A. Frenkel and C. A. Rodriquez, published in 1982, even in the languages
of 2021 and the Pandemic Crisis contains allows using the Big Data Analysis to draw conclusions about
the causes and consequences of economic fluctuations [10]. The authors emphasize the effectiveness of
corrective actions for exchange rate dynamics in FX market, which becomes especially relevant in terms
of floating exchange rate. S. Kim and S. H. Kim analyze the relationship between financial panic and
exchange rate overshooting during financial crises [13]. However, they do not consider exchange rate
fluctuations during financial crises. The research is based on the assumption that the expectations (and,
consequently, demand) are formed rationally in terms of full awareness of the FX market functioning.
Such situation is uncharacteristic of financial crises, which is the cause of exchange rate fluctuations,
so our research is particularly relevant. FX market volatility modeling make Š. Lyócsa, T. Plíhal, T.
Výrost [16], C. Eom, T. Kaizoj, J. W. Park, E. Scalas [
        <xref ref-type="bibr" rid="ref8">8</xref>
        ], but they do not differentiate exchange rate
fluctuations in crisis and stability periods, do not offer different models for analyzing currency
fluctuations during financial crises.
      </p>
      <p>As Ukraine switched to a floating exchange rate regime only in 2015, and started to implement
currency liberalization in 2019 (the Law of Ukraine “On Currency and Currency Values” adopted in
2018 came into force on February 7, 2019), exchange rate fluctuations today ambiguously perceived by
the society and provoke panic in FX market. In order to objectively FX market regulating, it is necessary
to have a clear understanding of exchange rate fluctuations during financial crises, its dynamics,
velocity and features of the course.</p>
      <p>
        F. Benguria and A. M. Taylor study the situation in the financial markets after the panic, as well as
reveal the consequences of the implementation of shocks of supply and demand during financial crises
[
        <xref ref-type="bibr" rid="ref3">3</xref>
        ]. The authors emphasize the expediency of fiscal and monetary stimulation of supply and demand
during financial crises, the link between financial crises and trade collapses. But their research, although
thoroughly reveal the course of financial crises and their impact on supply and demand from a
macroeconomic point of view, do not disclose the peculiarities of exchange rate fluctuations during
financial crises and do not offer the tools of Big Data Analysis for financial crisis in general and for
exchange rate overshooting in FX market in particular. Panic during financial crises is widely analyzed
by T. Daniëls [
        <xref ref-type="bibr" rid="ref5">5</xref>
        ], emphasizing the need to rationalize panic in conditions of strategic uncertainty.
      </p>
      <p>J. S. Hodges focuses on the comparison of different financial crises according to their reasons [12].
The focus is on comparing Global Financial Crisis (2008) and the Great Depression. His research is
based solely on US data and he compare causes and consequences for the US economy of these two
crises. However, the author does not focus on the FX markets volatility.</p>
      <p>C. P. Kindleberger and R. Z. Aliber analyze the financial crises of the 17th-20th centuries from the
standpoint of cyclicality [14]. The thesis of this book is that the cycle of manias and panics results from
the pro-cyclical changes in the financial system. They prove that the nature of the shock varies from
one speculative boom to another. However, taking into account the period in which the research was
conducted, it should be remembered that the crises of 2008-2020 were not considered by the authors.
In terms of the historical period at this time there are significant differences in organizing financial
systems, FX regulation and monetary mechanisms totally.</p>
      <p>E. Kohlscheen, F. H. Avalos and A. Schrimpf distinguish distinct commodity-related drivers of
exchange rate movements, even at fairly high frequencies [15], but their research does not focus on
analyzing the specifics of financial crises through the prism of FX market shocks and exchange rate
changes. P. Turner [29] has similar research, where he emphasizes that the exchange rate is the key
endogenous variable in the transmission of external shocks (financial and real) to small open economies.
As Ukraine's economy is just that - a small open economy, analyzing exchange rate volatility during
financial crises becomes a priority and a key variable to be relied upon when making decisions in crisis
conditions.</p>
      <p>
        The theoretical foundations of currency crises are the object of researches by T. Visyna, V. Visyna,
T. Polianska [32], H. Yilmazkuday [34], S. C.W. Eijffinger, B. Karataş [
        <xref ref-type="bibr" rid="ref6">6</xref>
        ]. The currency crises of the
1990s are studied by M. Cavallo, K. Kisselev, F. Perri and N. Roubini [
        <xref ref-type="bibr" rid="ref4">4</xref>
        ]. They propose a model of
small open economy, which allows to explain the crisis exchange rate fluctuations, based on the size of
the country's external debt, and also prove that both with a fixed exchange rate and a floating exchange
rate, the negative effects of the crisis will be felt for the economy. Daniëls T. [
        <xref ref-type="bibr" rid="ref5">5</xref>
        ] also explores the
currency crisis. In fact, one of the main themes of currency crises is that they have become increasingly
intertwined with what happens on financial markets. However, there are not many theoretical studies
that can explain the nature of financial crises and exchange rate fluctuations that occur during this
period, and for Ukraine there are no such studies in the works of foreign scholars, and among Ukrainian
scholars’ studies of financial crumbs in Ukraine are mostly limited to one of the crises. In particular, Z.
Rudenko explores the causes and consequences of the financial crisis in Ukraine in 2014-2015 [26].
      </p>
      <p>
        Data analysis is applied to different spheres of life. Financial crises, which are an integral part of the
economy, also need new approaches to analysis. Data sources are diverse, poorly structured or
unstructured, so the use of Big Data information technology is a priority for data analysis during
financial crises [27, 30, 31]. One of the biggest problems is the lack of a clear classification of Big Data
Analysis methods and an unambiguous approach to their implementation. Their presence would greatly
facilitate the choice of optimal and efficient algorithm for analyzing these data depending on their
structure. Taking into account the data sets that need to be analyzed to make effective decisions in a
crisis, Big Data Analysis is the tool that will qualitatively identify the main parameters of the
phenomena and processes to be analyzed. Large amounts of input data require a clear understanding of
the criteria for limiting the data set and forming a sample of the study - time series. In particular,
innovative methods for analyzing speculative fluctuations in FX market are used by D. Alaminos, F.
Aguilar-Vijande, J. R. Sánchez-Serrano [
        <xref ref-type="bibr" rid="ref1">1</xref>
        ], choosing for these purposes the neural networks formation.
N. Tak and A. Gök [28] propose to use the fuzzy index for dating currency crises and designing early
warning systems. Authors [31] propose application of data mining to exchange rate influence
identification.
      </p>
      <p>Today there is no difference in the use of the terms Big Data and Big Data Analytics. These terms
describe both the data themselves and management technologies and methods of analysis [11, 18, 20].
Big Data Analytics is a development of the Data Mining concept: the same tasks, applications, data
sources, methods and information technologies. From the moment of the Data Mining concept to the
advent of the Big Data era, analyzed data volumes have changed in a revolutionary way, information
systems of high-performance computing, new information technologies have appeared [18].</p>
      <p>The literature review has showed that the chosen topic of the research is relevant, insufficiently
disclosed and needs innovative approaches to the analysis of exchange rate overshooting in the FX
market during the financial crisis.</p>
    </sec>
    <sec id="sec-3">
      <title>3. Hypothesis and information base of the research</title>
      <p>The main hypothesis of the research is: “Financial crises and shocks in FX market, which manifest
themselves due to significant exchange rate fluctuations, accompany all economic crises, regardless of
the primary factors that cause them”.</p>
      <p>We consider three economic crises to prove or disprove the hypothesis for the Ukrainian FX market:
 2008 – Global Financial Crisis;
 2015 – Military Conflict Crisis;
 2020 – COVID-19 Pandemic Crisis.</p>
      <p>Each of these crises was accompanied by exchange rate fluctuations, different from fluctuations
under normal conditions. First of all, such exchange rate fluctuations are caused by panic among the
society, which, fearing to lose the last thing it has, begins to buy foreign currency. Hypothesis testing
will also reveal whether the spikes in FX market are identical during the action of various external
factors that cause society panic.</p>
      <p>We have formed time series to study exchange rate fluctuations during crises in Ukraine. Every time
series is signs of panic and is characterized by high volatility:
 18/11/2008-18/12/2008;
 01/02/2015-01/03/2015;
 01/03/2020-01/04/2020.</p>
      <p>
        The choice of the panic period was made on the basis of visual data analysis. The initial date of each
episode is selected on the basis of visually analyzing the data and identifying a break in the movement
of currency. The initial level of the exchange rate is a 30-day average of the value of the currency around
the initial date. The peak level and date of each crisis episode is visually clear and we select the highest
level of exchange rate after the start of the crisis. The extent of overvaluation depends on the percentage
difference in the highest level of exchange rate achieved during the crisis from the post crisis stable
value of the exchange rate. The stable value is calculated as the one-month average of the exchange rate
after the moving coefficient of variation of the exchange rate has dropped below 2% [
        <xref ref-type="bibr" rid="ref9">9</xref>
        ].
      </p>
      <p>For Ukrainian FX market these three crises are provoked by completely different external factors,
so comparing the dynamics of exchange rate fluctuations and identifying the period required to stabilize
the FX market will be the basis for confirming or refuting the hypothesis. During the financial crisis,
the society seeks to convert a currency that devalues into a more stable currency and assets, which in
turn provokes panic in the FX market.</p>
      <p>Also we propose to use data on Poland (09.03-23.03.2020), Georgia (09.03-27.03.2020), Russia
(06.03-24.03.2020), Belarus (09.03-24.03.2020) for analyzing and testing the hypothesis because these
periods are characterized by panic in FX markets of the above-mentioned countries under the influence
of quarantine and imposed lockdown. Accordingly, a comparison of exchange rate fluctuations in FX
markets in different countries will reveal whether FX market in different countries is developing equally
(statistically), as the sample includes the Eurozone, Russia and Belarus, which did not impose
quarantine at all.</p>
      <p>
        Time series for each of the countries and for each of the crises in Ukraine were formed on the basis
of analyzing the growth rate of the exchange rate, starting from the day when its excess (non-standard)
volatility begins, ending with the day when the exchange rate stabilizes and deviations are not more
than 2% [
        <xref ref-type="bibr" rid="ref9">9</xref>
        ].
      </p>
      <p>Big Data - a set of approaches, tools and methods for processing structured and unstructured data of
huge volumes. One of the tasks of Big Data Analysis is statistical data analysis. The research of
exchange rate fluctuations during financial crises is devoted to this analysis.</p>
    </sec>
    <sec id="sec-4">
      <title>4. Data visualization</title>
      <p>At the first stage we decided to analyze the growth rate of the exchange rate during COVID-19
Pandemic Crisis. To do this, we propose to use such method of Big Data Analysis as data visualization.
This will allow us to detect trends in time series without performing significant amounts of calculations
and the use of more sophisticated Big Data Analytics technologies.</p>
      <p>In the analyzed countries, the period of time required for the exchange rate to reach its maximum
(from the beginning of panic in FX market to the moment of stabilization of exchange rate fluctuations)
was different. In particular, Figure 1 shows how quickly exchange rate fluctuations were stabilized.</p>
      <p>The least time was spent on stabilizing FX market in Poland - only 11 days. At the same time,
Ukraine spent 31 days (3 times more time) on a similar stabilization. The average rate of FX market
stabilization during the financial panic is 2 weeks (in Ukraine - more than 4 weeks). The time required
to stabilize FX market is an indicator of the effectiveness of the central bank's measures to balance the
FX market, as well as an indicator of confidence in the central bank's policy in general. Ukraine's
negative experience in these issues, provoked by the duration and negative consequences of previous
crises in FX market, is one of the key factors of public distrust in the central bank’s actions same in
general, same in crisis times.</p>
      <p>Comparison of the exchange rate extremum achievement velocity calculated as the growth rates
between the minimum and maximum exchange rate values during COVID-19 Pandemic Crisis
demonstrates Figure 2.</p>
      <p>The Polish FX market reaches its peak in uniform steps in the dynamics of the exchange rate. The
Georgian FX market for the first 6 days develops similarly to the Polish FX market, but then, thanks to
the central bank’s intervention, the growth rate is temporarily reduced (formed 5-day plateau), but the
market was stabilized only at the third plateau, which occurred 19 days after the beginning of exchange
rate overshooting. The FX markets of Russia and Ukraine have the same tendency to reach the peak,
the difference is the velocity of its achievement, which in Ukraine is 2 times lower than in Russia.
However, minor exchange rate fluctuations at the beginning of the crisis (in Russia - 5 days, in Ukraine
- 10 days) are further accompanied by a sharp rise in the exchange rate (in Russia - 10 days, in Ukraine
- 20 days) until it reaches an extreme. No plateaus in exchange rate fluctuations, as observed in Georgia,
neither in Ukraine nor in Russia do not occur.</p>
      <p>Belarus currency market reacts differently to COVID-19 Pandemic Crisis, because from the list of
countries we are analyzing, it is the only country that has not implemented quarantine and lockdown.
Therefore, there was a sharp rise in the exchange rate in the first 2 days of the crisis (because the society
reacts in panic to the actions of public authorities, which are different from the actions of neighboring
and leading countries), the next 10 days of exchange rate fluctuations were more "smooth" other
analyzed countries, but from 10 to 16 days of the crisis, the exchange rate sharply reaches peak values.</p>
      <p>Differences in the exchange rate dynamics during COVID-19 Pandemic Crisis, as well as in the time
required to stabilize FX market due to the following factors:
 level of FX market development - the more developed the market, the faster it is possible to
"quench" exchange rate overshooting and stabilize the market;
 level of confidence in the central bank’s measures aimed at stabilizing FX market - the higher
is the confidence in the central bank’s actions, the faster it is possible to "quench" the panic in FX
market and stabilize the exchange rate fluctuations;
 level of effectiveness of the central bank’s measures aimed at stabilizing FX market - the more
diversified, innovative and objective are the measures, the faster it is possible to stabilize FX market.</p>
      <p>If we analyze the parameters formed in Figure 1 trend lines, we can see that the more time is spent
on reaching the peak values of the exchange rate in crisis periods, the smaller is the elasticity of the
exchange rate growth rate, and vice versa.</p>
    </sec>
    <sec id="sec-5">
      <title>5. Big Data Analysis and detection of links and patterns of exchange rate fluctuations during COVID-19 Pandemic Crisis</title>
      <p>It is advisable to use statistical methods of Data Mining as part of Big Data Analysis to further study
the patterns of FX market volatility during financial crisis. The methods include: preliminary analysis
of statistics nature, identification of links and patterns, multidimensional statistical analysis, dynamic
models and forecast based on time series:</p>
      <p>=   1,   2,   3,   4, (1)
where   1 – descriptive analysis and description of initial data;
  2 – links analysis (correlation, regression, factor, variance);
  3 – multidimensional statistical analysis (component, discriminant, multidimensional regression,
canonical correlations);
  4 – time series analysis (dynamic models and forecasting) [18].</p>
      <p>In Table 1 there are shown the indicators, that characterize the exchange rates dynamics during
COVID-19 Pandemic Crisis.</p>
      <p>Indicators Belarus Ukraine Georgia
Duration of panic (share of the year),% 4.44 8.61 5.28</p>
      <p>
        One-day step (velocity) of reaching the 6.25 3.23 5.26
exchange rates extremum during panic,%
Source: calculated by the authors on the basis of the central banks’ data on the exchange rates value [
        <xref ref-type="bibr" rid="ref2">2, 22, 23, 24, 25</xref>
        ]
      </p>
      <p>In Table 2 there are highlighted those combinations for which the presence of identical trends in
time series was detected. The calculations results have shown that COVID-19 Pandemic Crisis has
provoked identical trends in FX markets of Belarus and Georgia, Belarus and Poland, Georgia and
Poland. The similarity with the Russian FX market is only partial in Belarus, Georgia and Poland
identical trends can be observed not so much in terms of absolute exchange rates, but in terms of growth
index and growth rate. Have to note that Ukrainian FX market volatility does not have similar trends
with FX markets of Belarus, Georgia and Russia. There is only a similarity in terms of growth index
and growth rate with the Polish FX market.</p>
      <p>The discrepancies in the exchange rate change trends during COVID-19 Pandemic Crisis primarily
indicate the impossibility of applying in Ukraine those FX market regulating measures, which are used
in crisis times in the analyzed countries, because the nature and causes of exchange rate overshooting
are different, so the effectiveness of activities will vary. Also, the identified patterns indicate different
FX markets development levels and mechanisms for their regulation. In this case, overcoming the
negative impact of the crisis on exchange rate dynamics and FX market state at all, Ukraine must take
into account the characteristics and current state of FX market, society mentality, previous experience
and expected results from market intervention.</p>
    </sec>
    <sec id="sec-6">
      <title>6. Big Data Analysis for identification links and patterns of exchange rate fluctuations during the financial crises of 2008, 2015, 2020 in Ukraine</title>
      <p>It is important for Ukraine to reduce the time spent on FX market stabilizing during the crisis. The
main problem of Ukraine is the high FX market volatility due to exchange rate shocks. However,
changes in the monetary policy of the National Bank of Ukraine allowed to minimize exchange rate
fluctuations during COVID-19 Pandemic Crisis in 2020, relatively quickly (as for Ukraine) to stabilize
the FX market and "calm" panic among the society, and the overall growth of the exchange rate
compared to previous financial crises. In addition, new approach to the exchange rate calculation had
the positive impact on the Ukrainian FX market stabilization after COVID-19 Pandemic Crisis, as since
2015 Ukraine has switched to a floating exchange rate regime. During the crises in 2008 and in 2015,
there was a fixed exchange rate regime, which "collapsed" under the pressure of crisis phenomena and
events, which had significant negative consequences for the economy and formed the growing society
distrust to the national currency and the actions of the National Bank of Ukraine.</p>
      <p>The exchange rate dynamics (Figure 3) makes it possible to see that balancing the FX market during
the crisis is absolutely necessary, and the value of the exchange rate primarily reflects the state of
Ukraine's economy in the certain time period.</p>
      <p>In the case where there is the discrepancy between the fixed exchange rate and the real effective
exchange rate, there has been the significant change in the exchange rate with negative consequences
for the economy (typical for both 2008 and 2015 financial crisis in Ukraine). In 2020, when the
exchange rate in Ukraine is determined on the supply and demand balancing basis and is not subject to
administrative influence, the change in the exchange rate was relatively insignificant. This change was
observed in almost all countries and the main difference in the response of FX markets to COVID-19
Pandemic Crisis was the period of FX market stabilization.</p>
      <p>UAH/USD exchange rate dynamics analysis results during the financial crises in 2008, 2015 and
2020 are presented in Table 3.</p>
      <p>The maximum and minimum values in each of the time series are different, but this is neither a cause
nor a consequence of the financial crisis - it primarily characterizes the state of the Ukrainian FX market
and financial system at the time of entry into the vase of significant exchange rate overshooting.
Therefore, there is no economic reason to compare the time series of these absolute indicators.</p>
      <p>Dynamics indicators were calculated for the time series: variation range, growth index, growth rate
(both per period and per 1 day). Comparing the values of average growth rates in different crisis periods,
we see that the most rapidly changing exchange rates were during the crisis of 2015 (the average growth
rate was 3.0857% per day). COVID-19 Pandemic Crisis is characterized by a significant margin of
financial strength of Ukraine before its beginning, as well as new approaches of the National Bank of
Ukraine to currency regulation. These allowed to obtain the exchange rate average daily growth rate at
0.4598%, which is 2.5% lower than during the crisis of 2008, when the FX market was 100% controlled
and the exchange rate was fixed.</p>
      <p>If the coefficient of variation is less than 33%, then the sample is homogeneity. The calculation
results showed that the formed samples are homogeneous and it is inexpedient to apply the time series
analysis methods only for the growth rate. Oscillation coefficient shows the fluctuations of the time
series extreme values around the average values. The biggest exchange rate fluctuations were in 2015
(the oscillation coefficient is 0.6133). It is almost 2 times bigger than in 2008. And in 2020 such
fluctuations were 4.5 times smaller than in 2015 and 2 times smaller than in 2008.</p>
      <p>In other words, it can be argued that the FX market overcame the crisis in 2020 with a slight
devaluation of the Ukrainian hryvnia and minimal negative consequences for the Ukrainian economy
as a whole.</p>
      <p>UAH/USD exchange rate time series comparing results during the financial crises in 2008, 2015 and
2020 (based on F-statistics) are presented in Table 4.</p>
      <p>The Fisher's F-test values, calculated to compare the UAH/USD exchange rate time series trends
during the crises in 2008, 2015 and 2020, showed that there are no similarities between these series. At
the same time, no similarities were found either for the absolute values, or for the growth index, or for
the growth rate. The results show that the nature and causes of the crises were different, which led to
different imbalances in the Ukrainian FX market. Also the reason of the received results is various
mechanisms of FX market regulation in the periods of the analyzed crises. Due to such calculation
results, it is impractical and economically incorrect to compare the National Bank of Ukraine actions
their effectiveness during each of these crises.</p>
      <p>The results of trends identification in UAH/USD exchange rate time series during the crises in 2008,
2015 and 2020 (based on Student's t-test) are presented in Table 5.</p>
      <p>The obtained results allow us to confirm that there is a clear trend - a tendency to increase in the
exchange rate time series. However, if we form time series based on the growth rate or growth index,
we see that they do not show trends, so on their basis it is impossible to predict changes in exchange
rates, including decisions to regulate the FX market during the crisis, based on the results of such time
series analysis.</p>
    </sec>
    <sec id="sec-7">
      <title>7. Conclusions</title>
      <p>Summarizing the results of the exchange rates time series research, we can draw the following
conclusions:
 Big Data Analysis allows to identify trends in unstructured and poorly structured data;
 as information on exchange rates fluctuations is formed often and in detail (at least 2 times per
day in terms of a significant number of currencies for each FX market), processing it with Big Data
Analysis allows to structure information, identify trends, analyze dynamics and form a decision tree
on the impact on FX market and its regulation;
 all studied FX markets respond to financial crises with high exchange rate volatility which can
be described as panic with a tendency to increase and overshooting;
 in all analyzed countries COVID-19 caused panic in FX markets, which is characterized by
exchange rate volatility with more than 2% per day growth rate;
 the dynamics of different FX markets during panic shocks is similar to each other (unlike the
dynamics of the Ukrainian FX market);
 the reaction of the Ukrainian FX market to the crises in 2008, 2015 and 2020 was the same
the growth of the exchange rate, but the time series showed that the change in the exchange rate was
different in dynamics and velocity;
 the application of measures to regulate the Ukrainian FX market should be based on the
exchange rates absolute values analysis, because time series based on growth indices and growth
rates do not reflect the trend of change in the FX market;
 crises in different countries, provoked by identical causes, have different nature of course and
reaction, including on the part of the exchange rate and the FX market, therefore, measures to
overcome them should be different;
 implementation of foreign experience in overcoming the crisis should take into account the
presence of similarities in time series trends, as well as the state and features of the FX market in the
pre-crisis period.</p>
      <p>The hypothesis formed at the beginning of the study was proved. The research results further
confirmed the need for a thorough analysis of exchange rate overshooting in FX market during financial
crises. Exchange rate fluctuations are the first indicator of the financial crisis in the country and the
crisis factors are not the indicators that determine the presence or absence of exchange rate fluctuations.
In order to successfully overcome the crisis, it is necessary to balance the FX market as soon as possible
and set exchange rate fluctuations to regulatory values that do not threaten the country's financial
stability. The use of the formed hypothesis will allow in the future to optimize the time spent on FX
market studying, to harmonize Data Analysis approaches, as well as to more clearly draw conclusions
about the links between market indicators.</p>
      <p>The possibilities of using Big Data Analysis during financial crises to research the exchange rate
fluctuations in panic were tested on the basis of real data on exchange rate fluctuations during financial
crises for the sample of countries (Ukraine, Georgia, Poland, Russia, Belarus), as well as for Ukraine
in different time periods. It is proved that Big Data Analysis makes it possible to structure large amounts
of unstructured data, to form conclusions about the existence of links between phenomena due to
various factors. In further research, it is advisable to focus on forming information models for analyzing
financial shocks in FX market, taking into account the main factors of the crisis, as well as developing
practical measures to balance the FX market based on these models with minimal administrative
interventions in market mechanisms.</p>
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