=Paper= {{Paper |id=Vol-2763/CPT2020_paper_s3-7 |storemode=property |title=Analysis of the dependence of the ruble exchange rate volatility on the oil market in a pandemic |pdfUrl=https://ceur-ws.org/Vol-2763/CPT2020_paper_s3-7.pdf |volume=Vol-2763 |authors=O.V.Zolotarev,A.Kh.Khakimova,M.A. Berberova,V.P.Zolotareva }} ==Analysis of the dependence of the ruble exchange rate volatility on the oil market in a pandemic== https://ceur-ws.org/Vol-2763/CPT2020_paper_s3-7.pdf
  Analysis of the dependence of the ruble exchange rate volatility on the
                        oil market in a pandemic
                        O.V.Zolotarev1, A.Kh.Khakimova2, M.A. Berberova1,2,3, V.P.Zolotareva4
            ol-zolot@yandex.ru | aida_khatif@mail.ru | maria.berberova@gmail.com | zolotareva2005@mail.ru
                                  1
                                   ANO «Russian New University», Moscow, Russia
      2
        ANO «Scientific and Research Center for Information in Physics and Technique», Nizhny Novgorod, Russia
                              3
                                ANO International Nuclear Safety Center, Moscow, Russia
                                  4
                                    Moscow Polytechnic University, Moscow, Russia

     The article attempts to analyze the degree of impact of changes in the ruble exchange rate on the oil market in the conditions of
economic instability caused by the coronavirus pandemic. The statistical data for the calculation cover the time from January to May
2020. The importance of the further development of theoretical and methodological approaches to the study of the dependence of the
country's economy on external shocks is substantiated. The approach described in the article is considered by the authors based on the
analysis of non-stationary time series. The transformation of the post-industrial economy indicates the duality of this process, which
manifested itself both in expanding opportunities for the development of the world economic system and in the emergence of new factors
of its instability. The main factors complicating its development include the volatility of world prices, the growth of protectionism, the
spread of trade wars, the coronavirus pandemic.
     Keywords: world economic system, Russia, external shocks, volatility, ruble exchange rate, conjuncture, oil market, pandemic,
coronavirus.


1. Introduction                                                         conditions of economic instability caused by the pandemic
                                                                        allows to introduce adjustments to the theory of global
    The involvement of the Russian economy in world                     imbalances [5,6], putting forward new requirements for
processes a priori implies its dependence on external                   rethinking established ideas. The results also contribute to
shocks, the most important of which are the sanctions                   the development of institutional theory.
policy, the volatility of oil prices and the coronavirus
pandemic, which dramatically changed the world                          2. Materials and methods
economic space. The projected slowdown in the global
                                                                            A lot of attention is paid to the transformation of the
economy poses a serious threat to Russia's GDP growth
                                                                        contours of the world economic system in modern
rates, which are critically dependent on external factors,
                                                                        domestic science, which is associated with global changes
primarily the situation on world energy markets [1]. A
                                                                        in the conditions of reproduction. The aggravation of the
negative influence is exerted on the development of
                                                                        global systemic crisis, complicated by the coronovirus
foreign trade. So, even the relatively high growth rates of
                                                                        pandemic, necessitates the search for new forms of
physical volumes of export could not compensate for the
                                                                        existence of the system of international economic relations
losses from the deterioration of the terms of trade [2,3].
                                                                        and its sustainable development [7].
    In addition, a large-scale collapse in global financial
                                                                            A number of researchers draw an analogy of the
markets generates crisis processes in the global economy.
                                                                        current crisis caused by the coronavirus epidemic with the
National states are again forced to urgently develop and
                                                                        Great Depression, which has hit the global economy on a
implement anti-crisis programs [4]. An important role in
                                                                        large scale. Under these conditions, it is very important to
these programs in Russia should be played by measures to
                                                                        understand how much the national currency depends on
counter external shocks aimed at strengthening the
                                                                        the dynamics of world energy prices [6].
national currency and reducing losses of the state budget
                                                                            This problem is particularly significant for states
from lower oil prices.
                                                                        whose income largely depends on export prices for
    The purpose of this study is to identify the dependence
                                                                        resources, in particular Russia [8]. It is necessary to
of changes in the ruble exchange rate on the oil market in
                                                                        operate not only with the absolute values of financial
the conditions of economic instability caused by a
                                                                        indicators, but also to understand the trends in the
pandemic. The most important task facing the scientific
                                                                        economic situation in the country. Understanding how
community is to identify priority drivers for the
                                                                        dependent the national economy is on external conditions,
development and functioning of the Russian economic
                                                                        on the market conditions for energy carriers, allows us to
system.
                                                                        draw appropriate conclusions and make important
    The role of the world oil market in the volatility of the
                                                                        strategic decisions in terms of sustainable economic
ruble exchange rate is very important for development of
                                                                        development of its economic system.
Russia. We used hypothetical method in stating the
                                                                            The article discusses the dynamics of oil prices and the
problems and contradictions that arise in the era of a
                                                                        ruble for the period from January 13, 2020 to April 23,
pandemic and in the sustainable economic development of
                                                                        2020. Table 1 shows a fragment of statistical data, and the
Russia.
                                                                        variables introduced below will be considered in detail.
    The study of the problem of the mutual influence of the
ruble exchange rate and the oil market conditions in the




Copyright © 2020 for this paper by its authors. Use permitted under Creative Commons License Attribution 4.0 International (CC BY
4.0)
                           Table 1. Statistical data on oil prices and the ruble exchange rate (fragment) [9]
         Date          Rub        Oil   RelRub             RelOil         RelPercRub            RelPercOil            DepRubOil
       23.04.2020     77,0416     21,33 1,010299           1,047128        25,75510257           65,16641082            39,5220517
       22.04.2020     76,2562     20,37 1,021302           1,053802        24,47309315           66,73416729           36,67250846
       21.04.2020     74,6657     19,33 1,009759           0,755964        21,87691795           68,43257014           31,96857565
       20.04.2020     73,9441     25,57 0,989723           0,910613        20,69904935           58,24215305           35,53963627
       17.04.2020     74,7119     28,08 1,013531           0,985263        21,95233027            54,1431231           40,54500187
       16.04.2020     73,7145      28,5 1,005449           1,017857        20,32427297           53,45722964           38,01968996
       15.04.2020      73,315        28 0,997151           0,930542        19,67216861           54,27376947            36,2461808
       14.04.2020     73,5245     30,09 0,996922           0,944444        20,01413573           50,86063298           39,35093717
       13.04.2020     73,7515     31,86  0,98856           1,014327        20,38466812           47,97008198            42,4945451
       10.04.2020      74,605     31,41 0,984886           0,980643        21,77783727           48,70496783           44,71379048
       09.04.2020     75,7499     32,03 1,003908            0,95214        23,64665901           47,69245844           49,58154765
       08.04.2020      75,455     33,64 0,987535           1,038272        23,16529336           45,06320018           51,40623228
       07.04.2020     76,4074      32,4 0,982953           1,224953         24,7198971           47,08821896           52,49698894
       30.03.2020     77,7325     26,45 0,987427           0,936283        26,88285953           56,80504295           47,32477635
       27.03.2020     78,7223     28,25 1,011948           0,963835        28,49851134           53,86549956           52,90679855
       26.03.2020     77,7928     29,31 0,986601           0,975374         26,9812873           52,13443512           51,75329365
       25.03.2020     78,8493     30,05 0,974874           1,084446         28,7058136           50,92595617           56,36774597
       24.03.2020     80,8815     27,71 1,036354           1,006904        32,02297627           54,74736258           58,49227208
       23.03.2020     78,0443     27,52 0,973643           1,011393        27,39181107           55,05764771           49,75114668
       20.03.2020      80,157     27,21 1,038127           0,968327        30,84037399           55,56390241           55,50433403
       19.03.2020     77,2131      28,1 1,044979           1,063588        26,03504224           54,11046151           48,11461872
       18.03.2020     73,8896     26,42 0,996808           0,915771        20,61008893           56,85403534           36,25088141
       17.03.2020     74,1262     28,85 1,012816           0,966823        20,99629141           52,88565176           39,70130028
       16.03.2020     73,1882     29,84 0,988664           0,853303        19,46519281            51,2689029           37,96686043
       13.03.2020     74,0274     34,97 1,035754            1,06746        20,83502004           42,89120423            48,5764399
       12.03.2020      71,472     32,76  0,99238           0,914063        16,66383734           46,50031029           35,83597022
       11.03.2020     72,0208     35,84 1,066698            0,94865        17,55964429           41,47042493           42,34257141
       10.03.2020     67,5175     37,78 1,020127            0,83033        10,20890192           38,30225038           26,65353032
       06.03.2020     66,1854      45,5 1,001619           0,906736        8,034513378            25,6948754           31,26893302
       05.03.2020     66,0784     50,18 0,994502            0,97418        7,859857141           18,05206258           43,53993958
       04.03.2020     66,4437     51,51 1,001753           0,998256           8,4561368          15,88006663           53,25000831
       03.03.2020     66,3274      51,6 0,990096           0,972484        8,266300161           15,73308946            52,5408578
       02.03.2020     66,9909     53,06 1,021052           1,059293        9,349332062           13,34879315           70,03878144

    The study introduced the Rub and Oil variables - these             the time series RelRub (t). Here Rub (i) and Rub (i + 1) are
are the sets of ruble exchange rates and oil prices for the            sequential values of the ruble exchange rate in the reverse
specified period, respectively.                                        order (from a later value to an earlier in time):
    The trends in the dependence of the national currency                        𝑅𝑅𝑅𝑅𝑅𝑅𝑅𝑅𝑅𝑅𝑅𝑅(𝑡𝑡) =
                                                                                                    𝑅𝑅𝑅𝑅𝑅𝑅(𝑖𝑖)
                                                                                                                       (1)
rate on energy prices were analyzed.                                                                   𝑅𝑅𝑅𝑅𝑅𝑅(𝑖𝑖+1)

    An initial assessment was made of the relative impact                  Similarly, we calculate the trends in oil prices, the first
of incremental changes in the ruble exchange rate, the                 private ones for the RelOil (t) series. A calculation is made
variable RelRub was introduced, which shows the change                 for the set of values of the RelOil (t) series:
                                                                                                         𝑂𝑂𝑂𝑂𝑂𝑂(𝑖𝑖)
in the trend of the ruble exchange rate depending on time                         𝑅𝑅𝑅𝑅𝑅𝑅𝑅𝑅𝑅𝑅𝑅𝑅(𝑡𝑡) =                       (2)
                                                                                                       𝑂𝑂𝑂𝑂𝑂𝑂(𝑖𝑖+1)
(strengthening or weakening of the ruble exchange rate).
                                                                           Fig. 1 shows a joint diagram of the relative changes in
By analogy with the theory of time series, when the first
                                                                       the ruble and oil prices.
difference (the difference between adjacent members of
the series) is introduced, the concept of the first quotient is
introduced. The set of values of the RelRub variable forms
            1,08                                                                                                                                  1,4


            1,06                                                                                                                                  1,2

            1,04
                                                                                                                                                  1

            1,02
                                                                                                                                                  0,8
               1
                                                                                                                                                  0,6
            0,98

                                                                                                                                                  0,4
            0,96


            0,94                                                                                                                                  0,2


            0,92                                                                                                                                  0




                                                                           RelRub        RelOil

                                         Fig. 1. The joint dynamics of changes in the ruble and oil prices

    Based on the diagram in Fig. 1, the relative dynamics                               Similarly, the RelPercOil variable is calculated. It is
of price changes is lower than the relative dynamics of the                         the relative percentage change in oil prices from the
ruble exchange rate. Obviously, the series RelRub (t) and                           beginning of the year to April 23. But instead of a
RelOil (t) are stationary.                                                          minimum of prices of oil, the maximum value of the series
    The RelPercRub variable shows the relative                                      is used. The values of the RelPercOil (t) series are
percentage change in the ruble exchange rate from the                               calculated in a similar way:
beginning of the year to April 23. Next, the set of values                                𝑅𝑅𝑅𝑅𝑅𝑅𝑅𝑅𝑅𝑅𝑟𝑟𝑟𝑟𝑟𝑟𝑟𝑟𝑟𝑟(𝑡𝑡) = 100 ∗
                                                                                                                           max (𝑂𝑂𝑂𝑂𝑂𝑂(𝑖𝑖))−𝑂𝑂𝑂𝑂𝑂𝑂(𝑖𝑖)
                                                                                                                                                       (4)
for the series RelPercRub (t) is calculated:                                                                                𝑚𝑚𝑚𝑚𝑚𝑚 (𝑂𝑂𝑂𝑂𝑂𝑂(𝑖𝑖))
                                        𝑅𝑅𝑅𝑅𝑅𝑅(𝑖𝑖)−min�𝑅𝑅𝑅𝑅𝑅𝑅(𝑖𝑖)�                     Fig. 2 shows the relative changes in oil prices and the
     𝑅𝑅𝑅𝑅𝑅𝑅𝑅𝑅𝑅𝑅𝑅𝑅𝑅𝑅𝑅𝑅𝑅𝑅𝑅𝑅(𝑡𝑡) = 100 ∗                                (3)            ruble exchange rate as a percentage.
                                            𝑚𝑚𝑚𝑚𝑚𝑚 (𝑅𝑅𝑅𝑅𝑅𝑅(𝑖𝑖))

                    80

                    70

                    60

                    50

                    40

                    30

                    20

                    10

                     0




                                                                     RelPercRubl         RelPercOil

                                Fig. 2. Joint chart of changes in the ruble exchange rate and oil prices, in %
    Based on the presented diagram, the relative changes              makes it possible to estimate the share of the country's
in the ruble exchange rate are significantly lower than the           income from the sale of petroleum products. This is the
relative changes in oil prices in percent [10].                       DepRubOil variable. The set of calculated values of this
    Figure 3 shows a joint diagram of the relative changes            variable is presented in the following formula:
in the ruble exchange rate and oil prices for this period.                 𝐷𝐷𝐷𝐷𝐷𝐷𝐷𝐷𝐷𝐷𝐷𝐷𝐷𝐷𝐷𝐷𝐷𝐷(𝑖𝑖) = 100 ∗
                                                                                                          𝑅𝑅𝑅𝑅𝑅𝑅𝑅𝑅𝑅𝑅𝑅𝑅𝑅𝑅𝑅𝑅𝑅𝑅𝑅𝑅(𝑖𝑖)
                                                                                                                                   (5)
                                                                                                        𝑅𝑅𝑅𝑅𝑅𝑅𝑅𝑅𝑅𝑅𝑅𝑅𝑅𝑅𝑅𝑅𝑅𝑅𝑅𝑅(𝑖𝑖)
3. Results and discussion                                                 Next, we calculate the average value among the set of
                                                                      values of the series {DepRubOil}. It is equal to
    Analysis of the dynamics of price changes shows that              DepRubOilAvrg = 42.2932996060693.
significant changes in oil prices cause less significant                  An analysis of the many values of the DepRubOil
changes in the ruble exchange rate. At the same time, oil             variable shows that despite the emergency in the country
price spikes in early February do not cause equally                   due to coronavirus, the indicator of the dependence of the
significant changes in the ruble exchange rate, it is                 Russian economy on oil prices still fluctuates around 40%.
growing gradually. A similar conclusion can be made                   Fig. 3 shows the dependence of the ruble on oil prices. The
regarding the period at the end of February. In this                  figure also shows the average value of the indicator of the
situation, the dependence of the ruble rate on oil prices             dependence of the ruble exchange rate on the price of oil,
should be calculated.                                                 and for comparison, the price of oil for the indicated
    The following is an assessment of the dependence of               period.
changes in oil prices on the ruble exchange rate. This

      140



      120



      100



       80



       60



       40



       20



        0




                                            DepRubOil           Oil          DepRubOilAvrg

                                         Fig. 3. The dependence of the ruble on oil prices

     At the same time, with the depreciation of the ruble and
lower oil prices (Oll), the dependence of the Russian                 4. Conclusion
economy (DepRubOil) on oil products also falls, which                     Currently, there is a large dependence of the economic
obviously confirms the calculations made.                             situation in the country on the foreign exchange market. In
     This is the average dependence of the ruble exchange             addition, the coronavirus pandemic once again showed the
rate on oil prices, expressed as a percentage.                        dependence of the Russian economy on the volatility of oil
      Agreed indicators of the dynamics of the ruble                  prices on the world market.
exchange rate and oil prices suggest that the ratio of these              An analysis of the dynamics of price changes shows
two values depends on objective factors. We can observe               that significant changes in oil prices cause less significant
it for periods of stability.                                          changes in the exchange rate of the ruble. At the same
time, oil price spikes in early February 2020 do not cause            Berberova Maria A., PhD, docent, ANO HE «Russian New
equally significant changes in the ruble exchange rate but        University» (Moscow, Russia), ANO International Nuclear
demonstrate gradual growth.                                       Safety Center (Moscow, Russia), ANO «Scientific and Research
    The calculations of the average value of the                  Center for Information in Physics and Technique» (Nizhny
                                                                  Novgorod, Russia), Е-mail: maria.berberova@gmail.com
dependence index and the presented results in the form of             Zolotareva Vera P., Ph.D., Moscow Polytechnic University
graphs clearly indicate that with the fall in world oil prices,   (Moscow, Russia), E-mail: zolotareva2005@mail.ru
the dependence of the Russian economy on the oil market
conjuncture falls. However, it should be noted that the
coronavirus pandemic will have a residual impact on the
global and national economies for a relatively long time
manifested in the volatility of exchange rates.

Acknowledgment
   The reported study was funded by RFBR according to
the research projects № 18-07-00225, 18-07-00909, 18-
07-01111, 19-07-00455 and 20-04-60185.

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About the authors
   Zolotarev Oleg V., Ph.D., Docent, ANO HE «Russian New
University» (Moscow, Russia), E-mail: ol-zolot@yandex.ru
   Khakimova Aida Kh., PhD, docent, Kama Institute
(Naberezhnye Chelny, Russia), ANO «Scientific and Research
Center for Information in Physics and Technique» (Nizhny
Novgorod, Russia), Е-mail: aida_khatif@mail.ru