Dynamic Linkage between G old, Oil, Exchange Rate and ... · gold prices and USD exchange rate...
Transcript of Dynamic Linkage between G old, Oil, Exchange Rate and ... · gold prices and USD exchange rate...
Dynamic Linkage between Gold, Oil, Exchange Rate and Stock
Market Returns: Evidence from India
1Dr. P. Mohanamani,
2Dr. Preethi.
3S, L.Latha,
1Assistant Professor, Department of Management, Kumaraguru College of Engineering,
Coimbatore, Tamil Nadu, India,
2Assistant Professor (Senior Grade), Department of Humanities, PSG College of Technology,
Coimbatore, Tamil Nadu ,India 3Professor, Department of Computer Science and Engineering,
Kumaraguru College of Technology, Coimbatore, Tamil Nadu, India [email protected]
ABSTRACT
India as an emerging economy in the recent past had experienced a volatile situation in its
financial markets and ran into a massive current account deficit (CAD), in which the oil bill is
the most significant component. Foreign Exchange markets witnessed continuous weakening of
rupee against dollar, followed by falling crude oil prices, the rise in gold prices and high
volatility in Indian stock market. The complicated relationship between among the economic
variables has grasped the attention of researchers, policymakersand business people. This study
is an attempt to examine the interdependencies and to identify direct and indirect linkages
between oil, gold, exchange rate and the stock market in India. The study has taken daily data
from 2003:01 to 2017:12 constituting 3730 observations. By adopting the techniques of time
series, the study tried to capture the dynamic and stable relationship between these variables
using Cointegration test and Granger Causality techniques to establish our results.
Key Word: Unit root tests, Cointegration, Granger Causality.
1. INTRODUCTION
Everybody has some information. The function of the market is to aggregate that information,
evaluate and get it incorporated into prices – Merton Miller
International Journal of Pure and Applied MathematicsVolume 119 No. 17 2018, 2567-2580ISSN: 1314-3395 (on-line version)url: http://www.acadpubl.eu/hub/Special Issue http://www.acadpubl.eu/hub/
2567
Stock market plays a vital role in the development of an economy. To judge the
performance of an economy, performance of stock market is used as an essential indicator.
India’s nominal GDP in 2016 at current prices was 2251 bn$, India contributes 2.99% of
world’s GDP in exchange rate basis. India shares 8.5% of total Asia’s nominal GDP, and India
shares 15.98% of the whole of Asia’s GDP regarding Purchasing Power Parity which positions
India’s nominal GDP as the seventh largest economy in the world[1]. as per the International
Monetary Fund’s World Economic Outlook
India is world’s third-largest crude oil consumer. Its oil imports hit a record of 4.3
MMbpd(million barrels per day) indicating a 1.8% increase in imports. An increase in domestic
demand led to the rise in refinery demand, which led toincrease in crude oil imports. At present
India’s crude oil refining capacity has grown to 5 MMbpd. According to the Energy Information
Administration, India’s oil consumption increased by 0.1 MMbpd to 4.9 MMbpd in December
2017,compared to the previous month. It also rose to 12% from a year ago. The EIA estimates
that India’s oil consumption could average 4.8 MMbpd in 2018. The IEA (International Energy
Agency) estimates that India’s crude oil demand growth rate will be the highest by 2040 when
compared to other oil importing countries. From the data provided it is evident that there is a
wide gap in demand and supply of oil. Every $1 per barrel rise in crude oil prices inflates India’s
import bill by $1.33 billion which puts downward pressure on the domestic currency (ET,
Nov07, 2017). Crude oil prices above $60 a barrel is a concern for India’s economy as it has a
potential bearing causing a spike in inflation, risingraw material cost and also influencing the
central bank’s interest rate policies and chances are there to alter the exchange rate dynamics
which derails India’s stock market.
India is the world’s second-largest consumer of gold. Gold jewelry accounts for about
50% of gold consumption. Investors consume gold in the form of gold bars and coins which
account for about quarter of the gold produced. On the other hand, Reserve Bank of India
acquires an additional of 10% of the demand to add their reserves account, andthe remaining is
consumed by industrial users. Demand for gold jewelry was 2043 tons during 2010 but declined
to 1988 tons by 2016 as per the data shared by World Gold Council. Demand by small jewelry
makers in Indiawas impacted by the introduction of Goods and Services Tax(GST) in July 2017
in turn, increased the compliance burden. The government had also brought gold purchases
under the Prevention of Money Laundering Act (PMLA) in August 2017, which too impacted
sales, especially in rural India.Central bank buying in open market to bolster their reserves has
seen an increase since 2011, which has been increasing the proportion of gold in its forex
reserves.[2] Gold occupies an essential role in the socio-economic life of both poor and rich in
India which makes India as one of the largest importers of gold which causes huge amount of US
dollar to flow out of the economy which can have an impact on the other areas of economic and
financial sectors of the economy.
India’s exchange rate is an uncertain block in rapid export growth. Two critical factors
that drive the export growth are the world growth and the real effective exchange rate(REER).
International Journal of Pure and Applied Mathematics Special Issue
2568
The higher the world growth, the higher export growth. Capital flows both direct and portfolio,
have a more significant role in determining the exchange rate than current account transactions.
Indiabeing the world’s largest recipient of remittances and being a robust exporter of services, a
large surplus in non- merchandise flows allows India to run up a massive deficit in trade in goods
which was 5% of GDP in 2016-17 when the current account deficit (CAD) was just 0.7% of
GDP. India has over $420 billion of forex reserves, but all these reserves are derived from
unabsorbed capital inflows and not from current account surpluses making India imperative to
maintain external confidence.
It is a common phenomenon that one market exercises its impact on the other market as
no market can work in isolation, but the variations in the magnitude of effectsand theco-
movement between the markets need to be examined. Gold, oil, exchange rate, stock market
returns as financial asset classes and their dependencies are of great need for two reasons. One is
that portfolio strategies are highly sensitive to the structure of market participants between
financial asset classes and second for policymakers to determine their impact on decisions based
on information asymmetry across financial asset classes and the effect of cross-market linkages
and influences. This article tries to study the causal linkages between gold, oil, exchange rates
and stock market prices in India. No doubt many researchers have examined similar question in
their prior work.
2. LITERATURE REVIEW
Economics plays a crucial role in explaining the links between gold prices, oil prices, exchange
rates and stock market prices. Evidence from the past studies shows that there is no long-run
relationship between exchange rate and oil prices in India [3]. Co-movements and linkages
among gold prices, oil prices, and Indian Rupee-Dollar exchange rates was investigated for the
time span of 12 January 2004 to 30 April 2015 and the results indicated that gold prices, oil
prices, and Rupee-Dollar exchange rates stay substantially independent from each other [4]. In a
study by Nair [5] attempted to understand the impact of the recession in 2008 on the relationship
between exchange rate between USD versus INR and gold prices in India. The study used
Johansen Cointegration test to check the long-term association between exchange rate of US
dollar in INR and gold prices in India, it further used the Granger Causality test to check the
lead-lag relationship between the variables. The study concluded that the relationship between
gold prices and USD exchange rate impacted the recession in India and that exchange value of
US Dollar is an essential factor in fluctuations in gold prices in India.In another study by Najaf
[6]showed that there is no long-run relationship between stock market of India and oil and gold
markets by using the data from 2003 to 2011. The presnece of dynamic linkages have been
analyzed using DCC-GARCH in standard, exponential and threshold variants and the lead-lag
linkages have been examined using symmetric and asymmetric non-linear Causality tests by
Jain[7]. Empirical analyses indicated that reduction in gold prices and crude oil prices also
causes fluctuations in Indian Rupee and the Sensex. Findings of this study also reveals the
emergence of gold as an attractive investment asset class among the investors. Also the study
International Journal of Pure and Applied Mathematics Special Issue
2569
highlighted the need for dynamic policy-making in India to contain exchange rate fluctuations
and stock market volatility using gold price and oil price as instruments. Arfaoui [8] revealed oil
price had positively influenced the price of gold and USD. Oil price is also affected by oil futures
prices and by Chinese oil gross imports. Gold rate is impactedby changes in oil, USD and stock
markets. The USD is negatively affected by fluctuations in stock market and significantly by
fluctuations in oil prices and gold prices. The study also confirmed the Indirect effects always
exist which confirm the presence of global interdependencies and involve the financialization
process of commodity markets. Raheem [9] investigated the existence of relationship between oil
price, exchange rate and the stock market in Nigeria using vector autoregressive model (VAR).
The results revealed that oil price, exchange rate, and stock market index are not co-integrated.
The results of Granger Causality test show that there is bidirectional causality between exchange
rate and stock market. Also, there is bidirectional causality between the stock market and oil
price but unidirectional causality run from oil price to exchange rate. In another study by Chang
et al.,[10] examined the correlations of oil prices, gold prices and the exchange rate and found
that the oil price, gold price and exchange rate remain considerably independent from one
another, which implies policymakers should consider the separation of energy and financial
policies.Jin [11] compared the effects of oil price and real effect exchange rate on the real
economic activity in Russia, Japan, and China, respectively. The main findings indicate that the
oil price increases give a negative impact on economic growth in Japan and China and a positive
effect on economic growth of Russia.More precisely, a 10 percent permanent increase in
international oil prices is associated with a 5.16 percent growth in Russian GDP and a 1.07
percent decrease in Japanese GDP. On the one hand, an appreciation of the real exchange rate
leads to positive GDP growth in Russia and a negative GDP growth in Japan and China. Rahman
[12] explored the effects of changes in crude oil and gold prices on US Stock market movement.
ARDL Bounds Testing was applied for co-integration. The ARDL-Bounds testing confirmed co-
integration among the variables. There is evidence of long-run convergence among all these
variables with very tepid adjustment towards the equilibrium. The result is statistically
significant from gold price changes but insignificant from crude oil price changes.The same
finding is also supported by another study Beckmann et al.,[13] found substantial evidence that
oil prices and exchange rates are related over the long-run. On the other hand, Zhang [14]
however found that the co-integration between the oil price and the value of US dollar does not
significantly exist. Results reveal that rise in oil prices lead to a significant depreciation of the
USD against other currencies, such as Canada, Mexico, and Russia. On the other hand, Japanese
currency depreciates relatively to USD when oil prices rise up[15]. Volkov [16] investigated the
effects of oil price shocks on exchange rate movements in five major oil-exporting countries:
Russia, Brazil, Mexico, Canada, and Norway. The volatility of oil price shocks upon exchange
rates is significant in Russia, Brazil, and Mexico, but found to be weak in other countries such as
Norway and Canada. The asymmetric behavior of exchange rate volatility among nations seems
to be related to the efficiency of financial markets rather than to the importance of oil revenues in
the economy. Kim [17] in another study investigated the relationship between daily crude oil
International Journal of Pure and Applied Mathematics Special Issue
2570
prices and exchange rates and the empirical results showed that the rise in the West Texas
Intermediate (WTI) oil price returns is linked with a depreciation of the US dollar. Degiannakis
et al., [18] reviewed on the complicated relationship between oil prices and stock market activity.
They found that most studies showed that oil price volatility is transmitted to stock market
volatility, indicating measures of stock market performance is improved based on the forecasts
of oil prices and oil price volatility.Olufisayo[19], studied the relationship between changes in oil
prices and stock market growth over the period 1981-2011 using vector error correction model.
The results suggest the existence of long-run relationship between oil price, exchange rate,and
stock market growth and also unidirectional causality runs from oil price change to stock market
development. In another study attempted by Huang [20] attempted to explore the effects of oil
price returns and oil price volatility on the Greek, the US, the UK and the German stock markets.
The results obtained revealed that the Greek stock market index returns and the US stock market
index returns are both sensitive to the oil price returns movements while the German and the UK
stock market returns are not affected at all.
Given with India’s global connectivity to other countries since post liberalization era
from 1991 onwards and Indian Government easing out norms for Foreign Portfolio Investors
huge amount of money is poured into the stock market which has increased the volatility in the
stock market.This study is an attempt to find out, is Indian stock market is integrated to the
global market in terms of gold market, oil market and exchange rate implications because of the
increased openness of Indian economy? If there are linkages, to identify the nature of linkages
whether it is long term or short term linkage between the markets?
3. METHODOLOGY
The primarypurpose of this article is to study the dynamic relationship between oil, gold,
exchange rate and stock market prices. Data used in the study is collected from daily spot prices
from world gold council, daily spot oil prices from OPEC, the daily exchange rate between INR
and USD from Reserve Bank of India and BSE Sensex returns are used as a proxy to measure the
Indian stock market prices. All the time series data employed in the study covers a period from
2003:2017.E-views 9.0 was used to analyze the data and the results are interpreted based on the
output. Studying stationarity properties of time series is the first step in the analysis. So as to
identify the variables are stationary or non-stationary. [21]In this study, Augmented Dickey-
Fuller test (ADF) (Dickey & Fuller, 1981) is used to test presence or absence of unit root among
the chosen variables for the study. There are three different models to conduct the ADF unit root
test:
Model I: Without intercept and trend
tqtpttttZZZZZ
....
22111
Model II: With intercept and without trend
International Journal of Pure and Applied Mathematics Special Issue
2571
tqtpttttZZZZZ
..........
221110
Model III: With intercept and trend
tqtptttttZZZZZ
........
221110
Ho = =0 data to be differenced to become stationary, and Ha: < 0 meaning the data remains
stationary. 0
is intercept, t
is the trend and q denotes the lags determined by Akaike
Information Criterion or Schwarz Bayesian Information Criterion.
Johansen Cointegration Test
The purpose of using this test is to reveal the existence or absence of co-integration among the
chosen variables, provided all variables are non-stationary at level, meaning to say they are
integrated at same order. This method is also otherwise known as the maximum likelihood
method, which aids in testing the complete system of equations for the existence of
Cointegration among variables. This is also written as vector autoregressive equation of order p
as,
Xt = A0 + ∑ jXt-1 +εt
Xt denotes n x1 vector of non-stationarity variables integrated of I (1) order, p denotes the lag
length, A0 denotesnx1 vector of constants, ,Bj isnxn co-efficientmatrix and εt is white noise
error terms. Under Johansen approach there are two test statistics for Cointegration:
λmax (r, r+1) = - Tln(1-λr+1)
Ho: r= number of Cointegrating vectors, Ha: r+1 = number of co-integrating vectors, where λmax
conductsdistinct tests oneigenvalues for the above-stated hypothesis.
Two likelihood ratios, the trace and maximum Eigenvalue (Johansen, 1988) indicate the co-
integratingrank and are used to determine the number of co-integrating vectors.
λtrace = -T ∑ + (1-λj )
Number of co-integrating vectors are identified using the test results obtained from λtrace and
λmax test, T denotes number of observations and λj indicatesan estimated value for the jth
ordered
characteristic roots or the Eigenvalue. Eigenvalue greater than zero indicates the existence of co-
integrating vector. Trace statistics is used as a combined test to test the null hypothesis about the
presence of number of co-integrating vectors which is less than or equal to r, against the general
choice that the presence of co integrating vectors are additional to r. The maximum Eigen value
tests the presence of co-integrating vectors is equalto or less than r against the option of r+1 co
integrating vectors in the null hypothesis.
Granger Causality Test
Granger during 1969 developed this causality test. X is said to Grangercause another variable Y if
the past and present values of X help to predict the values of Y. To examine whether X Granger
International Journal of Pure and Applied Mathematics Special Issue
2572
causes Y or Y granger causes X the following forms of bivariate regressions are runt to test the
Granger causality:
tntntnttnxxyyy
.................
11110
tntntnttnyyxxx
............
11110
4. Results and Discussion
Table 1: Unit Root Test Results
Augmented Dickey-Fuller
Test
Intercept P_Value Trend and Intercept P_Value
Level -0.310909 0.9210 -2.309272 0.4282
LGold -1.869791 0.3469 -1.163430 0.9165
LOilprices -1.754320 0.3143 -1.54376 0.4534
LBSE_Sensex -2.120158 0.2368 -2.485152 0.3356
First
Differences
LExchange Rate -44.53057 0.0000 -44.54484 0.0000
LGold -62.28248 0.0001 -62.31038 0.0000
LOilprices -61.71776 0.0001 -61.71032 0.0000
LBSE_Sensex -43.71316 0.0000 -4373305 0.0000
Augmented Dickey-Fullerunit root test was employed to determine whether variables become
stationary after taking the first difference. Table 1 presents the results of the Unit root test. The
estimations from the test result show that all the variables considered for study are stationary
after first order differentiation. [22]To use Johansen cointegration test all the variables chosen for
study should be integrated of order(I) and determining optimal lag length is another important
criterion.
Selection of Optimal Lag Length
Table 2: Lag order Selection
Lag LogL LR FPE AIC SC HQ Lag Length
selected for
the study
0 -113349.9 NA 1.76e+22 62.57460 62.58144 62.57703
1 -77643.37 71314.46 4.89e+13 42.87241 42.90661* 42.88460* 1
2 -77627.25 32.17080 4.89e+13 42.87234 42.93390 42.89427
3 -77610.67 33.03494 4.89e+13* 42.87202* 42.96094 42.90370 3
4 -77605.10 11.08562 4.92e+13 42.87778 42.99406 42.91921
International Journal of Pure and Applied Mathematics Special Issue
2573
5 -77586.62 36.75648 4.91e+13 42.87641 43.02004 42.92758
6 -77569.92 33.17276 4.91e+13 42.87602 43.04702 42.93694
7 -77551.13 37.26704* 4.90e+13 42.87449 43.07284 42.94515 7
8 -77541.55 18.98147 4.92e+13 42.87803 43.10374 42.95844
Included observations: 3628 LR: Sequential modified LR test statistics (each at 5% level) FPE:
Final Prediction Error, AIC: Akaike Information Criterion, SC: Schwarz information criterion,
HQ: Hannan- Quinn information criterion.
Choosing appropriate lag length is essential before applying Johansen co-integration test
and Granger Causality Test. In this case we have used Multivariate Information criteria such as
LR: Sequential modified LR test statistics (each at 5% level) FPE: Final Prediction Error, AIC:
Akaike Information Criterion, SC: Schwarz information criterion, HQ: Hannan- Quinn
information criterion for all the included observations to determine the optimal lag length. Based
on the test results shown Table 3, optimal lag length chosen is 3.
Johansen Cointegration test
Table 3: Johansen’s Cointegration test results
Unrestricted Cointegration Rank Test (Trace)
Hypothesized Trace 0.05
No. of CE(s) Eigenvalue Statistic Critical Value Prob.
None * 0.165068 674.6564 47.85613 0.0001
At most 1 0.003156 20.50955 29.79707 0.3889
At most 2 0.002434 9.046003 15.49471 0.3611
At most 3 5.78E-05 0.209700 3.841466 0.6470
Unrestricted Cointegration Rank Test (Maximum Eigenvalue)
Hypothesized Max-Eigen 0.05
No. of CE(s) Eigenvalue Statistic Critical Value Prob.
None * 0.165068 654.1468 27.58434 0.0001
At most 1 0.003156 11.46355 21.13162 0.6010
At most 2 0.002434 8.836303 14.26460 0.3000
At most 3 5.78E-05 0.209700 3.841466 0.6470
Max-eigenvalue test indicates 1 Cointegration eqn(s) at the 0.05 level
* denotes rejection of the hypothesis at the 0.05 level
The results of Johansen co-integration test results are presented in table 3 exhibits that the trace
statistic for calculated Max Eigenvalue (674.6564) is greater than the critical value of (47.85) at
5% critical value indicating the presence of co-integration between variables. Also, the max
International Journal of Pure and Applied Mathematics Special Issue
2574
Eigen statistic value (654.14) is greater than its critical value (27.58) at 5% level of significance.
The Eigenvalue statistics reveals that there exists a strongCointegration between the chosen
variables such as BSE Sensex, crude oil, exchange rate and gold. Results of Johansen
Cointegration test denote that the null hypothesis (Ho) stating there is no Cointegration between
variables is rejected at 5% L level of significance. Test results in turn,leads to inference about the
existence of atleast three Cointegrating equations. After confirming the presence of co-
integrating vectors based on Johansen co-integration test results, the short run and longrun
interaction of the underlying variable are examined by fitting them within Vector Auto
Regression(VAR) and Vector ErrorCorrection model(VECM).
Table 3.a: Vector Error Correction Estimates
BSE_SENSEX(-1) EXCHANGE_RATE(-1) GOLD(-1) OIL_PRICES(-1) C
1.000000 80.18140 -61.29445 163.8353 -1.18E+08
(4093.44) (84.6844) (4.61697)
[ 0.01959] [-0.72380] [ 35.4855]
The test results show that a long-run equilibrium relationship exists between stock market
indices and the other variables taken for study namely crude oil, gold and exchange rate. The
estimated co-integrating Coefficients for the BSE Sensex based on the first normalizedEigen
vector, derived from the results presented in table 3.a are as follows,
BSE_ Sensex = 80.18 Exchange rate – 61.29 gold + 163.83 oil prices – 1.18.
The results reveal that coefficients are positive with the exchange rate and oil prices and
negative with gold prices. The results reveals the existence of fluctuation in exchange rate
because of fluctuations in crude oil prices. On the other hand, the fluctuations in gold prices
hasnegative impact on BSE Sensex. The reason attributed is that Indian investorshave the age-
old habit of investing in gold and Investment in financial assets is very much limited. The
negative coefficient value of gold price towards the BSE Sensex indicates that as the gold price
rises, Indian investors tend to invest less in stocks, causing stock prices to fall and vice versa.
Panel A: Normalised Co-integrating coefficients
BSE_SENSEX(-
1) EXCHANGE_RATE(-1)
GOLD(-1) OIL_PRICES(-
1)
C
1.000000 80.18140 -61.29445 163.8353 -1.18E+08
(4093.44) (84.6844) (4.61697)
[ 0.01959] [-0.72380] [ 35.4855]
Panel B
D(BSE_SENSEX) D(EXCHANGE_RATE) D(GOLD) D(OIL_PRICES)
3.81E-06 4.09E-10 1.47E-09 -0.006139
(3.5E-06) (4.0E-09) (2.1E-07) (0.00017)
[ 1.07952] [ 0.10250] [ 0.00707] [-35.4094]
International Journal of Pure and Applied Mathematics Special Issue
2575
Standard errors in () and t-statistics in []
The coefficient of the Error Correction Term as given in the above table is (3.81E-06) is positive
andis statistically significantat 5% level. This reveals that BSE Sensex responds to establish
equilibrium with exchange rates whenever deviation occurs in exchange rates. Likewise, gold
prices tries to establish equilibrium whenever there is fluctuations in crude oil prices. The Vector
Error Model also indicates that exchange rate is another influential factor in Indian Economy.
India being import dominant country, appreciation of rupee against foreign currencies reduces
the import bill which causes higher cash flows leading to better profit and better stock prices.
Granger Causality Test
Table 4 Granger Causality Test Results, Lags:3
S. No Causality among variables F statistic P Value Existence of
Causality
1 LEXCHANGE_RATE Causes
LBSE_SENSEX
0.58248 0.5586 No
2 LBSE_SENSEX Causes
LEXCHANGE_RATE
3.16036 0.0154 Yes
3 LGOLDCauses LBSE_SENSEX 1.85323 0.1569 No
4 LBSE_SENSEX CausesLGOLD 3.96849 0.0398 Yes
5 LOIL_PRICES Causes LBSE_SENSEX 0.10949 0.8963 No
6 LBSE_SENSEX Causes LOIL_PRICES 0.25605 0.7741 No
7 LGOLD Causes LEXCHANGE_RATE 4.58301 0.0103 Yes
8 LEXCHANGE_RATE Causes LGOLD 1.83065 0.1605 No
9 LOIL_PRICES Causes
LEXCHANGE_RATE 3.79697 0.0165 Yes
10 LEXCHANGE_RATE Causes
LOIL_PRICES 0.58691 0.5561
No
11 LOIL_PRICES Causes LGOLD 0.33089 0.7183 No
12 LGOLD Causes LOIL_PRICES 0.06892 0.9334 No
Granger causality test is used to test whether the lags of one variable influence the lags of the
other variable. Granger causality test results reveal that changes in BSE Sensex influence
exchange rate as well the gold prices. On the other hand, exchange rate is also influenced by
changes in gold prices and oil prices. Wealth is transformedfrom oil importing countries to oil
exporting countries. India is the major importer of crude oil, fluctuations in exchange rate
between Indian Rupee and US Dollar will have an impact on account imbalances in oil price
settlement. Another point of observation is whenever oil price increases chances are there that
our trade balance worsens leading to depreciation of Indian Rupee.
5. CONCLUSION
The main purpose of this paper is to study the dynamic linkage between stock prices identified in
the form of BSE Sensex, Exchange rate between USD and Indian Rupee, Gold and Crude oil
prices for the period of 2003:01 to 2017:12. To assess the dynamic linkages, Johansen
International Journal of Pure and Applied Mathematics Special Issue
2576
Cointegration test and Granger Causality Tests were used. The findings of Augmented Dickey-
Fuller Unit root test show that the variables get stationary in first-order differentiation and are
integrated oforder I(1). Johansen Cointegration test reveals the existence of Cointegration
between the variables chosen for study. After confirming for the existenceof Cointegration then
Vector Error Correction Model was tried to find out the existence of long-run relationship among
the variables.The results reveal that coefficients are positive with exchange rate and oil prices
and negative with gold prices. The results reveal that the increase in oil prices leads to increase in
exchange rate fluctuation and inturn has a long-term impact on the movements of stock markets.
Granger causality test results reveal that changes in BSE Sensex influence exchange rate as well
the gold prices. On the other hand, the exchange rate is highly influenced by changes in gold
prices and oil prices. The findings of the paper have important implications for policymakers and
academicians. India was categorized as one of the ―Fragile Five‖ economies when crude oil
prices were at their peak that lead to a current account deficit(CAD) of 4.8% of GDP during
2013-14. Crude oil price crash brought down the CAD to 0.7% of GDP during 2016-17. At
present CAD during 2018-19 isforecasted to be in the range of 2.5 to 2.9% of GDP was the
estimate. Over a period USD is strengthening on expectations of higher interest rates which has
made imports costlier for India. At the same time, India’s foreign Exchange reserves had touched
a lifetime high of USD 424.86 billion in the first weekend of April 2018 aided by an increase in
foreign currency assets. To this end, it implies that all the variables are independent from each
other but likely to exercise its influence on another variable. Finally, to gain control over
policymaking, it is better to detach policies for energy from that of policies for finance.
6. References
[1] Developments, R. (2018). World Economic Outlook, April 2018: Cyclical Upswing,
Structural Change; April 17, 2018; Chapter 1: Global Prospects and Policies, (April).
[2] Sujit, K. S., Kumar, B., & Rajesh Kumar, B. (2011). Study on dynamic relationship among
gold price, oil price, exchange rate and stock market returns. Journal of Applied Business and
Economic …, 9(2), 145–165.
[3]Ciner, C. (2001). Energy Shocks and Financial Markets: Nonlinear Linkages. Studies in
Nonlinear Dynamics and Econometrics, 5(3), 203–212.
https://doi.org/10.1162/10811820160080095
[4] Seyyedi, Seyyedsajjad (2017), ―Analysis of Interactive Linkages Between Gold Prices, Oil
Prices, and Exchange Rate in India‖,Global Economic Review, Vol. 46, pp. 65-79.
[5] Nair, Girish Karunakaran, Nidhi Choudhary and Harsh Purohit (2015), ―The Relationship
Between Gold Prices and Exchange Value of US Dollar in India‖, Emerging Markets Journal,
Vol. 5, No. 1, pp. 17-25.
[6] Najaf. R and Najaf. K (2016), ―Impact of Crude Oil Prices on the Bombay Stock Exchange‖,
Journal of Business & Financial Affairs, Vol. 5, No. 4, pp. 1-3.
International Journal of Pure and Applied Mathematics Special Issue
2577
[7] Jain, Anshul and P.C. Biswal (2016), ―Dynamic Linkages among Oil Price, Gold Price,
Exchange Rate, and Stock Market in India‖, Resources Policy, Vol. 49, (September), pp. 179-
185.
[8] Arfaoui, Mongi and Aymen Ben Rejeb (2017), ―Oil, Gold, US Dollar and Stock Market
Interdependencies: A Global Analytical Insight‖, European Journal of Management and Business
Economics, Vol. 26, No. 3, pp. 278-293.
[9] Raheem, Aremu Idowu and Musa Adebiyi Ayodeji (2016), ―Analysis of the Relationship
between Oil Price, Exchange Rate and Stock Market in Nigeria‖, MPRA Paper No. 73549,
(September) accessed at https://mpra.ub.uni-muenchen.de/73549/
[10] Chang, Hsiao-Fen, Liang-Chou Huang and Ming-Chin Chin (2013), ―Interactive
Relationships Between Crude Oil Prices, Gold Prices, and the NT–US Dollar Exchange Rate—A
Taiwan Study‖, Energy Policy, Vol 63, pp. 441–448.
[11] Jin, Guo (2008), ―The Impact of Oil Price Shock and Exchange Rate Volatility on
Economic Growth: A Comparative Analysis for Russia Japan and China‖, Research Journal of
International Studies, Vol. 8.
[12] Rahman, Matiur and Muhammad Mustafa (2018), ―Effects of Crude Oil and Gold Prices on
US Stock Market: Evidence for USA from ARDL Bounds Testing‖, Finance and Market, Vol. 3,
No. 1, pp. 1-9.
[13] Beckmann, J. Berger, T., Czudaj, R. (2015). Does gold act as a hedge or a safe haven for
stocks? A smooth transition approach. Econ. Model., 48, 16–24.
[14] Zhang, Yi (2013), ―The Links Between the Price of Oil and the Value of US Dollar‖,
International Journal of Energy Economics and Policy, Vol. 3, No. 4, pp. 341-351.
[15] Novotný, F. (2012). The Link Between the Brent Crude Oil Price and the US Dollar
Exchange Rate. Prague Economic Papers, 21(2), 220–232.
https://doi.org/10.18267/j.pep.420
[16] Volkov, I. Nikanor and Ky-hyang Yuhn (2016), ―Oil Price Shocks and Exchange Rate
Movements‖, Global Finance Journal, Vol. 31, (Nov), pp. 18-30.
[17] Kim, Jong-Min and Hojin Jung (2018), ―Relationship Between Oil Price and Exchange Rate
by FDA and Copula‖, Applied Economics, Vol. 50, No. 22, pp. 2486-2499.
[18] Degiannakis, Stavros., George Filis and Vipin Arora (2017), ―Oil Prices and Stock
Markets‖, Working Paper Series accessed at
https://www.eia.gov/workingpapers/pdf/oil_prices_stockmarkets.pdf
[19] Olufisayo, Akinlo Olayinka (2014), ―Oil Price and Stock Market: Empirical Evidence from
Nigeria‖, European Journal of Sustainable Development, Vol. 3, No. 2, pp. 33-40.
[20] m.mathankumar1, t.viswanathan2 and t.dineshkumar3,‖( 2017) implementation of data
gathering system using mobile relay node in wireless sensor network‖, international journal of
pure and applied mathematics (ijpam), volume 116 no. 11, pp no. 111-119,
[21]Irfan Ahmed Mohammed Saleem, Dr. S. Jaisankar (2018), A Study On Kaizen Based Soft-
Computing In Electric Vehicle Manufacturing Processes, International Journal Of Innovations In
ScientificAnd EngineeringResearch, Vol5Issue5,.31-39.
International Journal of Pure and Applied Mathematics Special Issue
2578
[22] Huang, R. D., Masulis, R. W. and Stoll, H. R. (1996). Energy shocks and financial markets,
Journal of Futures Markets, 16, 1-27.
International Journal of Pure and Applied Mathematics Special Issue
2579
2580