A STUDY ON “Lead-Lag Relationship between Indian Spot and Futures Market” Dissertations submitted in partial fulfillment of the requirements for the Award of the Degree of MASTER OF BUSINESS ADMINISTRATION Of BANGALORE UNIVERSITY By RAVI PRAKASH HADGAL Reg.No. 05JJCM6042 Under the guidance of Dr.MADHUMITA. G. MAJUMDER 1
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Lead-Lag Relationship Between Indian Spot and Futures Market
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A STUDY ON
“Lead-Lag Relationship between Indian Spot and Futures
Market”
Dissertations submitted in partial fulfillment of the requirements for the
Award of the Degree of
MASTER OF BUSINESS ADMINISTRATION
Of
BANGALORE UNIVERSITY
By
RAVI PRAKASH HADGAL
Reg.No. 05JJCM6042
Under the guidance of
Dr.MADHUMITA. G. MAJUMDER
KRISTU JAYANTI COLLEGE OF MANAGEMENT & TECHNOLOGY
BANGALORE
2007
DECLARATION
1
I hereby declare that this project titled “A Study on Lead-Lag Relationship between
Indian Spot & Futures Market” submitted by me to Department of Management,
Bangalore University in partial fulfillment of requirements of MBA Programme is a
bonafide work carried by me under the guidance of. Dr.Madhumita. G. Majumder
This has not been submitted earlier to any other University or Institution for the award of
any degree diploma/ certificate or published any time before.
Place: Bangalore (RAVI PRAKSH HADGAL)
Date:
2
CERTIFICATE FROM GUIDE & HEAD OF THE INSTITUTION
Certified that this project entitled “A Study on Lead-Lag Relationship between Indian
Spot & Futures Market” submitted in partial fulfillment for the award of MBA Degree
of Bangalore University was carried out by Mr.Ravi Prakash Hadgal under the guidance
of Dr.Madhumita. G. Majumder. This has not been submitted to any other university
or institution for the award of any degree/ diploma/ certificate.
GUIDE DEAN
MBA DEPARTMENT
PRINCIPAL
3
ACKNOWLEDGEMENT
At the successful completion of my project I would like to extend my gratitude to all
those without whose valuable guidance and support it would have not been possible.
A special word of thanks to Dr. Arun Kumar (Dean of MBA Department) for his
guidance and support throughout the project work.
I also owe my gratitude to my internal guide Dr.Madhumita. G. Majumder (Professor,
Kristu Jayanti College of Management) for valuable suggestions and guidance.
Above all I thank my family and friends for their constant support and encouragement.
4
EXECUTIVE SUMMARY
Derivatives is a product that derives its value from the value of one of more basic
variables, called underlying in a contractual manner- NSE Definition. Of the several
varieties of derivatives, the most popular ones are Futures, Option, and swaps.
The commencement of Equity Futures and Options trading in India in June, 2000
revolutionized the economic landscape. In the inherently volatile Indian stock exchanges,
the opportunity to hedge risk was not wasted. The regular put-call parity violation also
led to glut arbitrage opportunities. Derivatives become the most favored tools for
investors and also gave them payoff structures they had not experienced before. Within a
short time of 5 years, the derivative segment of the NSE has raced ahead of the cash
segment in terms of daily traded volumes.
TABLE OF CONTENTS
5
CHAPTER NO. TITLE PAGE NO.
1 INTRODUCTION
1-4
2 RESEARCH DESIGN
2.1 Introduction2.2 Statement of Problem
Need of the study2.3 Review of Literature2.4 Objectives of the Study2.5 Scope of the Study2.6 Hypothesis2.7 Methodology
Data Collection Plan of Analysis Limitations of the Study
5-18
3 INDUATRY PROFILE 19-29
4 ANALYSIS OF LEAD-LAG RELATIONSHIP BETWEEN INDIAN SPOT MARKET AND FUTURES MARKET
30-34
5 SUMMARY OF FINDINGS, CONCLUSION AND RECOMMENDATIONS
35-38
BIBLIOGRAPHY AND ANNEXURES
LIST OF TABLES
6
Table No. Contents Page No.
2.1 Table showing Description of underlying stocks 16
3.1 Table showing various Derivative Products available in NSE 21
4.1 Table showing the Mean & SD of spot and futures market 31
4.2 Table showing skewness & Kurtosis of spot and futures market 32
4.3 Table showing variance & co-efficient of variance of spot and futures market
33
4.4 Table showing Beta value of underlying stocks 34
As we know, Efficient Market Hypothesis (EMH)1 states that when all the
information available in the market is immediately incorporated in the prices of assets,
then the market is said to be informationally efficient (in weak form). When there are
two markets trading the same number and same type of assets, then the prices of
those assets, in a specific market, mainly depends on the nature and speed in the flow
of information available in the market. Spot and derivative market are such types of
market where the equity products to be traded are the same, but with some different
purpose, i.e., for hedging. Since the products traded in the two markets are of same
type, hence the prices of those products in two markets are expected to be same and
people can trade indifferently in any of the two markets. But, in practical sense, it
7
may not happen. The equity prices in the two markets – spot and derivative market
depends on the speed of incorporating all the information available in the market. So,
there is a link between the flow of information and the movement of prices in two
different markets. Now, if the information simultaneously flows in both the spot and
futures market, then there will be a contemporaneous movement of prices in those
markets and there will be no cause- effect relationship among them. But, if the
information flows faster in a specific market (i.e. spot / futures) , then there will be
a lead- lag relationship and the market incorporating the information faster is said to
lead the other market.
The Indian capital market has witnessed a major transformation and structural change
from the past one decade as a result of ongoing financial sector reforms initiated by the
Govt. Bringing the Indian capital market up to a certain international standard is one of
the major objectives of these reforms. Due to such reforming process, one of the
important step taken in the secondary market is the introduction of derivative products in
two major Indian stock exchanges (viz. NSE and BSE) with a view to provide tools for
risk management to investors and to improve the informational efficiency of the cash
market. Though the onset of derivative trading has significantly altered the movement
of stock prices in Indian spot market, it is yet to be proved whether the derivative
products has served the purpose as claimed by the Indian regulators. In an efficient
capital market where all available information is fully and instantaneously utilized to
determine the market price of securities, prices in the futures and spot market should
move simultaneously without any delay. However, due to market frictions such as
transaction cost, capital market microstructure effects etc., significant lead-lag
relationship between the two markets has been observed.
LEAD-LAG THEORY
Tremendous amount of work has been done in trying to identify the lead-lag relation
between the spot and derivative markets. There is both theoretical support and empirical
evidence for both the argument.
8
Theoretically, an option future is essentially a derivative security and so its price should
depend unilaterally on the underlying spot index. Hence, on the surface, it does not seem
plausible for the option markets to contain expectations of the future stock price
movements. However, it has been argued that this one-way linkage, from underlying asset
market to option and futures market, holds only in a complete market. In the presence of
friction and information asymmetry, informed traders may find the derivative markets to
be more attractive than the market for the underlying asset, and if this is the case, the
derivative markets could possible contain information that had yet to be compounded in
the underlying asset markets.
The link with the underlying asset market derivatives important for price discovery and
risk transfer. Price discovery means any news about the stock will come to future market
first and than moves to spot market with some delay. Risk transfer is the possibility of
investors to hedge their risk of spot portfolio through index futures. Hence there is a
widespread interest to study the relation between future and index prices.
1. Geweke J. “The Lead-Lag Relationship between Stock Index and Stock Index Futures
Contracts”, Journal of the American Statistical Association, Vol 76 (1982), 304-313
In some derivative securities, particularly index futures and options have been blamed for
the excess volatility in the spot market. They argue that derivatives encourage speculation
and hence destabilize the market. There has been lot research done (mostly in developed
markets) and evidence was found that spot markets k\lead the options and futures i.e. ‘the
dog wages tail and not the other way round’. There was also some evidence that there is no
particular relation between the two market. These theories are explained their arguments
are presented below.
There is a theory that the market choice of informed investors depends on the depth of the
two markets as well as the leverage provided. Two types of equilibrium are supposed to
exists. “Separating equilibrium” where informed traders trade in spot market only.
“Pooling equilibrium” where the informed investors trade in the both the markets and
therefore trading in option market may convey positive news about the futures stock
9
prices.
Hedging effects also contribute to relation between the two markets. If the option dealer
hedges his risk by trading in stock market or if stock broker trades in options market to
hedge his risk, then the information flows from one market to another.
Arguments for options and futures leading spot market
One argument is that some index-constituent stocks may react slowly to the news in the
market with a longer delay resulting in slower price formation of the overall index. This is
particularly a problem if there are some moving stocks in the index, which will take longer
time to respond. On the other hand, the index future and option prices on the other hand
react immediately due to the supply-demand equilibrium. Since it is a single security and
not a basket like spot index, there will be no delay because of the individual stocks. Any
news about any underlying constituent stock will be forced in very fast. Hence the
argument says that options lead the spot market due to their fasters reaction time.
Another argument suggest that investors can only bet on volatility of options market when
they have private information about the underlying asset. Short sale restrictions of the
underlying stocks are another reason why informed investors may prefer to trade in
derivative market.
Arguments for spot markets leading derivatives market
Lower liquidity experienced in the derivative market may in fact turn informed investors
from the derivative market. Hence they contend that information flows from spot to
derivative market.
Another interesting argument uses theories in behavioral finance. For example, cognitive
dissonance theory maintains that people generally try to reduce cognitive dissonance in
such a way that would not normally de considered fully rational. Cognitive dissonance
stars once the investor buys a stock and is unsure whether he has made the correct decision
or not. For example, when mutual funds are performing well, money flows in the fund
10
very rapidly. When a mutual fund is performing poorly, the money flow out of the fund is
rather slow. Investors behave in this fashion because, when losing, they become unwilling
to confront the fact that trading the stocks was a bad.
A related concept is the regret theory postulates that investors may take certain admittedly
“irrational” actions simply to mitigate or avoid the pain of regret. Regret may go beyond
the pain of loss to felling responsible for it. As such, regret appears to be an important
factor shaping people’s decisions. It is this pain of regret, the theory contends, that leads
investors to sell winning stocks too soon and hold losing ones too long.
These behavioral theories can be used to explain why volatility in spot market is capable
of provoking volatility in derivative market. As the spot market itself become more
volatile, investors exceedingly try to reduce cognitive dissonance and avoid possible
regrets of making wrong investment decisions. Such regret aversion psychology
encourages investors to engage in more hedging activities, not only to minimize perceived
risk, but also to avoid future pain of regret. These conditions justify the lead relationship
between the spot and derivatives market.
CHAPTER 2
RESEARCH DESIGN
2.1 Introduction
Research refers to the search for the knowledge. One can also define research as a
scientific, systematic search for the actual information on a specific topic. In fact,
research is an art of scientific investigation. “A careful investigation or enquiry specially
through search for new fact in any branch of knowledge.”
2.2 Statement of the problem
The present study would like to investigate how the movements of prices both in spot as
well as derivatives depend upon the flow of information in those markets. It is found
that both the spot and futures price series possess unit root and both of them are
cointegrated in case of index level and also at stock level. But as far as the flow of
11
information is concerned, it shows some mixed evidence. The direction in the flow of
information from one market to another keeps changing over a periods of time. It
varies also from one underlying stock to another.
Need of the study
Futures & Options on both individual stock and the index level are traded in Indian
exchange. The cash and derivative segment share a symbiotic relationship because the
underlying of exchange-traded derivatives is predominantly stocks or the index itself. The
present researcher interested in a broad-based understanding of the impact of the
characteristics of one on the behavior of the other, the impact of volatility of the stock
(cash) segment on the derivative segment.
There are two school of thought which advocate the impact of volatility in the stock (cash)
market on the derivative market. The first school of thought discounts the impact of short
term swings in the stock market. Exchange traded derivatives typically have duration of 1
or 3 months. Hence the short term stock market fluctuations should logically have a fairly
limited impact on the valuation of these derivatives in general, and Futures in particular
However the other school of thought suggests that since the underlying for these
derivatives is stock their swings would defiantly affect the valuation of the derivatives.
Their argument is that in a non-ideal market, investor’s sentiment would still play a major
role in the valuation, especially of the new derivatives in the period.
Derivatives are being used chiefly for hedging operations in market both developed and
emerging. Thus their efficacy as a hedging mechanism would depend upon their ability to
smooth out some of the volatility in the underlying. Thus a study of their volatility
behavior is extremely important for an investment analysis standpoint
2.3 Review of literature:
If markets are complete and perfect, derivative and underlying spot prices must
12
reflect information simultaneously; otherwise, difference in prices would
induce arbitrage opportunity. In practice, when institutional characteristics and
transaction cost are taken into consideration, one market may lead the others without
implying arbitrage opportunity. To the extent that the futures or options are able to
reduce the transaction cost, their introduction should be expected to increase the flow
of information into the market. A simple way to test for this is to study the lead-lag
relationship between price changes in the underlying spot and derivative market.
If we look into the previous studies, then a large number of studies will be found that
have examined the structural as well as temporal relationship among the spot and
futures markets. Again, some studies have focused on the impact of some
specific event(s) on such relationship among those markets.
Studies like Kawaller, Koch and Koch (1987), Herbst et al. (1987), Stoll & Whaley
(1990), Kalok Chan (1992), Tang Y.N. et al. (1992), Wahab M. et al. (1993), Tse
Y.K. (1995), Antoniou A. et al. (1995), De Jong F. et al. (1997), De Jong F. et al.
(1998), Abhyankar A.(1998), Pizzi M.A. et al. (1998), Tse Y. (1999), Min J.H. et al.
(1999), Timothy J.B. et al.(1999), Frino A. et al. (2000), Pascal A. (2000), Pascal
A. et al. (2000), Roope M. et al.(2002), Thenmozhi M. (2002), Chan L.H. et al.
(2002), Lien D. et al. (2003), Anand Babu P. et al. (2003) etc. have focused the
temporal relationship and the flow of information among the spot and derivative, viz.
futures market.
By applying several methods, such as cointegration and error correction model,
Hasbrouck (1995) common trend model, Simultaneous equation model, Linear and non-
linear Granger causality test etc., De Jong F. et al. (1997), Pizzi M.A. (1998),
Abhyankar A. (1998), Min J.H. (1999), Roope M. et al. (2002) etc. argued that there is
a unidirectional relation among the spot and futures markets. Almost all of these studies
have found that the price of futures index significantly lead the price of cash / spot
index within a period from ten to forty minutes. Though some studies states that the
spot market leads the futures market, such effect continues only for few minutes, one to
two minutes. Thus in most of these cases, information is incorporated into futures price
13
first and then transmitted to the spot price. Again, Abhyankar A. (1998) concluded that
neither markets (spot or futures market) leads nor lags the other if the non-linear
effects between these two markets are taken into consideration.
Intraday lead-lag relationship between return on the cash index and the same on
futures and call options is studied by De Jong F. et al. (1998), Pascal A. et al. (2000). De
Jong argued that the futures market leads both the cash and options markets by five to
ten minutes on average. While, the lead-lag relations between the cash index and the
options are largely symmetrical, indicating that neither markets leads the other.
Kawaller, Koch and Koch (1987) have tried to compare the estimated price
relationship on expiration days of the futures contract with comparable estimates for
days prior to expiration. As far as the lead-lag relationship is concerned, their results
also suggested that futures price movement consistently leads the spot index price by
twenty to forty five minutes, while the spot index rarely affect the futures beyond one
minute. They also found that the expiration days do not demonstrate a temporal
character substantially different from earlier days. Frino A. et al. (2000) have tried to
investigate how the lead-lag relationship between return on spot and futures index is
influenced by the release of macroeconomic and stock-specific information. They
argued that futures market significantly lead the spot market around
macroeconomic information release. While, they provide evidence that the leading
role of futures market weakens with the release of stock-specific information.
Apart from measuring the lead-lag relation between the intraday futures and cash index
price, Chan K. (1992) has tried to investigate such a lead-lag relationship even at the
stock level with a view to find out whether such relationship exist only due to the
non-synchronous trading of the component stocks in the spot market. They have found
an asymmetric lead-lag relation between futures and all component stocks, and
pointed out that even for some actively traded stocks; the return still significantly lags
futures return. His results also support that due to differential transaction cost and
expected profits, the futures market becomes the main source of market wide
information, while the cash market becomes the main source of firm-specific
14
information.
Timothy J.B. et al. (1999), Chan L.H. et al. (2002) and Lien D. et al. (2003) had
tried to investigate some policy effect on the information flow between the cash and
futures market at the index and stock level. Simply by using the multiple regression
technique [Stoll & Whaley (1990) and Grunbichler (1994)] on the return innovations
in the spot and futures markets, Timothy et al. concluded that the trading
mechanism, changed from floor-based trading to automated screen based trading
leads to change the substantial bi-directional information flow between spot and
futures markets into the unidirectional flow of information from futures to spot
market. They also proved the significant increase in the contemporaneous relation
among the spot and futures markets. Lien explored whether the price discovery
function of futures price has been enhanced in the Australian market after the
switch of futures contract from cash settlement to physical delivery. They have
found that there is significant flow of information from spot to futures market in
both the period of cash settlement and physical delivery. Moreover, they pointed out
the increase in the magnitude of information flow from spot to futures market after
switching of ISF contracts into physical delivery. While, by using the Geweke
feedback measures, Chan L.H. has tried to examine the effect of extended trading hours
of the Hong-Kong index futures on the flow of information between cash and futures
markets. They have found that extension of trading hour leads to a stronger information
flow from the cash market to the futures market, i.e., the spot market leads the
futures market.
As far as the Indian financial market is concerned, Thenmozhi M. (2002), Babu P.A.
et al. (2003) etc. have tried to examine the temporal relationship between the index
futures and underlying cash index and to test the lead-lag relations among those
markets in India. They confirmed that Indian index futures lead the spot index and such
lead-lag pattern between the two markets is not constant over different periods.
All of the past studies reveal the fact that futures market leads the spot market at the
15
index level; while, an opposite relationship is found if we go for the underlying stocks
listed in both the spot and futures markets. Though there are a number of studies
examined the flow of information between spot and futures market, but only a few
of them accounted for the underlying stocks. This study contributes to the literature
by (i) investigating the leading role played the spot or the futures market in
discovering not only the index price but also the prices of some underlying stocks
listed in those markets and (ii) examining the leading role for the whole period along
with for the subsequent annual periods with a view to know how such role varies from
time to time.
2.4 Objectives of the study
1. To study lead-lag relationship between the spot and the future market for some
underlying stock.
2. To examine the volatility spot market index on a few highly liquid stock.
2.5 Scope of the study
The scope of the study is limited only to CNX Nifty, daily closing prices of some
selected stocks and Nifty futures index. The study includes testing of lead-lag relation
only in Nifty spot and futures market.
2.6 Hypothesis:
16
HO: “Stock returns in underlying spot market does not lead to that in the futures
market”
H1: “Stock returns in underlying spot market does lead to that in the futures market”
2.7 Methodology
There are several methods for testing the flow of information and movement of prices
in two different markets. In this study the emphasis is given mainly on Geweke
measures of feedback to test the flow of information and the movement of prices in spot
as well as futures market in India. Daily closing prices of CNX Nifty index, Nifty
futures index, and also the daily closing prices of some selected stocks, listed in
both the spot and futures market, are used in the study.. All the data at the index
level are collected from January-07 to March-07. It is to be noted here that the
study period and the number of the time series observation are not consistent for all of
the underlying stocks. Because different stocks are traded in futures market for
different time periods. The stocks traded at least for 60 days (except in the case of
few stocks), fixed arbitrarily, in the futures market are taken into consideration
for this study. A brief description of the price index and also of the underlying stocks
is presented in below Table 1. Since the futures price on the first nearest contract is
characterized by a high level of activity, prices of stock index futures and also of stock
futures on the first nearest contract, i.e., on the next month contract are taken into
account. All the data are collected from the website of National Stock Exchange (NSE),
Mumbai.
In the present study, the attempt has been made to investigate the flow of information
among the Indian spot and futures market both at the index level and also at the
underlying stock level. This study applies Geweke [J. Am. Stat. Assoc., 76(1982)
304] measure of feedback to empirically investigate the hypothesis that there is
instantaneous flow of information among spot and futures market and there is no such
cause and effect relationship among the index and stock prices in those markets.
This study is based on daily data for CNX Nifty spot index, Nifty futures index, and
17
also daily prices of some of the selected stocks from both the spot as well as futures
markets over a period from January 07 to March, 2007. The study reveals the fact
that though both the non- stationary price series are cointegrated (both at index and
stock level), there is cause-effect relationship only in few pairs of price series, not
in all the cases. As far as the flow of information is concerned, the statistics
showing the Geweke measure of feedback, confirm that though there is an
instantaneous flow of information among the spot and futures market, still there is a
lead-lag relationship between the spot and the futures market that varies from period
to period and also from one underlying stock to another.
The remainder of this paper is organized as follows. Section 2 discusses a brief review
of the past literature relevant with this study and pointed out the effort trying to achieve
through this study.
The temporal relation between stock Index and Index futures has been and continues
to be of interest to regulators, academicians and practitioners alike for a number of
reasons such as market efficiency, volatility and arbitrage. In perfectly efficient
markets profitable arbitrage should not exist as prices adjust instantaneously and fully
to new information. Hence, new information disseminating into the market place
should be immediately reflected in spot and futures prices by triggering trading
activity in one or both markets simultaneously so that there should be no systematic
lagged responses. However, there is yet another reason that futures markets
potentially provide an important function of price discovery to help improve efficiency
of the market. If so, then futures prices and movements thereof should contain useful
information about subsequent spot prices beyond that already embedded in the current
spot price.
The concern over how trading in futures contract affects the spot market in
underlying asset has been an interesting subject for investors, academicians,
exchanges and regulators. Antoniou and Holmes (1995) found that the
introduction of stock Index futures caused an increase in spot market volatility in the
short run while there was no significant change in volatility in the long run. The
18
apparent increase in volatility has been attributed to increased information flow in the
market through the channel of futures trading. On the other hand, Kamara et al. (1992)
found no increase in spot market volatility due to introduction of futures trading.
Ross (1989) demonstrates that under conditions of no arbitrage variance of price
change must be equal to the variance of information flow. This implies that the
volatility of the asset price will increase as the rate of information flow increases. It
follows therefore, that if futures increase the flow of information then in absence of
arbitrage opportunities the volatility of the spot price must change and hence increase in
volatility.
Since there is theoretical disagreement as to whether futures trading increases
or decreases spot price volatility the question needs to be investigated empirically
and policy makers in India may also like to know its impact so that future policy
changes can be implemented. Another purpose of this study is to examine the effect of
introduction of S&P CNX Nifty Index futures on the underlying spot market.
There is an evidence of bi-directional feedback during the day. In order to find out
any lead lag information, there is a need to look at high frequency data. Attempts are
being made to obtain intra day data so that lead lag relationship, if any, between
cash and futures market can be established. Also, price discovery and volatility in the
context of single stock futures is proposed to be studied separately.
Geweke Measure of Feedback:
Suppose, there are two markets, X market and Y market. Let Pxt and Pyt be the two
different price series of two different markets. Now, the nominal return of those stock
markets can be calculated by taking the first difference in the log of the stock price, such
that
rzt = lnPzt – lnPz,t-1, where z = x, y.
In – Natural Log
19
When it is hypothesized that the return series of two different markets are interrelated,
then each of the return series are influenced by information influencing other markets,
information that do not influence other markets, and noise.
Now, according to Geweke (1982) Measure of Feedback, the flow of information
among the spot and futures markets can be measured by the following log-likelihood
ratio statistics.
There may be unidirectional and / or bidirectional feedback measure among the spot
and futures market in the matter of flow of information.
When there is a unidirectional feedback relation from spot market (X) to futures market
(Y), such relation can be measured by the following statistics
FX→Y = ln(σ2µy / σ
2yy)
Now, the asymptotic distributions of this measure is such that, if the residuals in the
above equations are i.i.d. under the null hypothesis H0: FX→Y = 0, then
Similarly, the unidirectional feedback relation from futures market (Y) to the spot
market (X) can also be measured, such that
FY→X = ln(σ2µx / σ
2xx)
The above test statistics (FX→Y, FY→X,) reveals whether there is unidirectional and / or
bi-directional flow of information among spot and futures market in India. When
FX→Y is statistically significantly different from zero but FY→X is not, then it can be
concluded that the information actually flows from spot market to futures market and
thus the former leads the latter. On the other hand, if FY→X is statistically significant,
but FX→Y is not, then the futures market is said to lead the spot market and information
flows from futures to spot market. Moreover, when both the measures are significantly
20
different from zero, then a larger value of FY→X implies that the futures market has
more influence on the spot market.
This Geweke Measure of Feedback technique have some special advantages over the
other means for testing the contemporaneous or lead / lag relationship in the matter
of flow of information and movement of prices in two different markets. Unlike other
technique, the Geweke statistics represent not only the presence of feedback, but also the
extent of feedback. The Granger Causality (Granger et al., 1969) test of investigating the
causal relation can only reveals whether we can reject or fails to reject the null
hypothesis that there is no such relation among two different markets. But the
Geweke statistics can cardinally measure the degree of movements or
interdependence.
The Standard Deviation: The standard deviation measures the absolute dispersion (or
variability of distribution: the greater amount of dispersion of variability), the greater
the standard deviation, for the greater will be the magnitude of deviations of the values
of their mean. A small standard deviation means the high degree of uniformity of the
observation as well as homogeneity of a series: a large standard deviation means just the
opposite.
Skewness: Measure of skewness tells us the direction and the extent of skewness. In
symmetrical distribution the mean, median and mode are identical. The more mean
moves away from the mode, the larger the asymmetry of skewness.
Kurtosis: the most important measure of kurtosis is the value of the coefficient β2.. It is
defined as
21
The greater the value of β2 the more peaked is the distribution.
Correlation Analysis: the correlation is the device which helps us in analyzing the
covariance of 2 or more variables.
The problem of analyzing the relation between different cities should be broken in to
three steps:
1. Determining whether a relation exists and, if it does, measuring it.
2. Testing whether it is a significant.
3. Establishing the calls and effect and relation, if any.
Table no. 2.1 Description of Price Index and Underlying Stocks Listed in Spot & Futures Markets:
NSE Code Index/Company Name Industry Group Incorporation YearS&P CNX NIFTY S&P CNX NIFTY Index Price IndexFUTIDXNIFTY Nifty Futures Index Futures IndexACC Associated Cement Cos.Ltd. Cement 1936BAJAJAUTO Bajaj Auto Ltd. Automobile 1945BHEL Bharat Heavy Electricals Ltd. Electricals & Electricity 1964BPCL Bharat Petroleum Corpn. Ltd. Petroleum 1952BSES B S E S Ltd. Electricals & Electricity 1929CIPLA Cipla Ltd. Drug 1935DRREDDY Dr. Reddy's Laboratories Ltd. Drug 1984GRASIM Grasim Industries Ltd. Diversified 1947
22
GUJAMBCEM Gujraj Ambuja Cements Ltd. Cement 1981HINDLEVER Hindusthan Lever Ltd. Diversified 1933HINDPETRO Hindusthan Petroleum Corpn. Ltd. Petroleum 1953INFOSYSTCH Infosys Technologies Ltd. Computers 1992IOC Indian Oil Corpn. Ltd. Petroleum 1959ITC I T C Ltd. Tea & Tobbaco 1910L&T Larsen & Toubro Ltd. Diversified 1946M&M Mahindra & Mahindra Ltd. Automobile 1945MTNL Mahanagar Telephone Nigam Ltd. Telecom 1986ONGC Oil & Natural Gas Corpn. Ltd. Petroleum 1959RANBAXY Ranbaxy Laboratories Ltd. Drug 1961RELIANCE Reliance Industries Ltd. Diversified 1966SATYAMCOMP Satyam Computer Service Ltd. Computers 1987SBIN State Bank of India Banking 1955TATAPOWER Tata Power Co. Ltd. Electricals & Electricity 1919TATATEA Tata Tea Ltd. Tea & Tobbaco 1978TELCO Tata Motors Ltd. Automobile 1956TISCO Tata Iron & Steel Co. Ltd. Iron & Steel 1907VSNL Videsh Sanchar Nigam Ltd. Telecom 1986
This table reports a brief description of the indices and also of the stocks (companies) listed in both the derivative as well as spot market in India.
Motivation
The Indian capital market has witnessed many changes in the past decade. A
major reform undertaken by SEBI was the introduction of derivatives products: Index
futures, Index options, stock options and stock futures, in a phased manner starting
from June 2000. It has been about two and half years since the introduction of Index
futures in India mainly as a risk management tool for institutional and for other
investors. The two main functions of futures market are price discovery and hedging.
Futures markets are also known to have a stabilizing effect on the underlying spot
market. Price discovery is expected to first take place in the futures market and then it
is transmitted to underlying cash market (Pizzi et al, 1998). Since futures market is
different from cash market in terms of capital required, cost of transactions and other
aspects, it would be a forerunner of the cash market as far as the information
23
discounting is concerned. Thus many small and risk averse investors can trade in the
cash market without taking the risk of bouts of volatility. Therefore, this paper makes
an attempt to measure price discovery whether actually taking place first in the futures
market or not. A related issue is level of volatility. Introduction of Index futures is
expected to reduce volatility in the cash market since speculators are expected to
migrate to futures market (Antoniou and Holmes, 1995). Many past studies in other
countries measured impact of volatility on the cash market. In India as of now there
is no scientific study that used some of the modern econometric techniques to measure
volatility in the cash market after the introduction of Index futures. There are some
studies which used standard regression and standard deviation techniques. It is
proved in India also that volatility is a time varying factor (Thiripal Raju et. al.,
2002). Therefore, in this study Autoregressive Conditional Heteroscedasticity (ARCH)
family of techniques are used to capture time varying nature of volatility so that the
estimators are more reliable. These are the two important locomotives; price
discovery and volatility that worked as drivers of this research study.
Data collection
The data which is required for the study is mainly depend upon the secondary date. Daily
closing prices of CNX NIFTY index, and also the daily closing prices of some selected
stocks listed in both the spot and future market.
1 Books and Journals
2 Internet Websites :
www.nseindia.com
www.icfai.org
www.ssrn.com
www.bseindia.com
24
Plan of Analysis
Technique: Descriptive statistics consists of mean, standard deviation, skewness,
coefficient of variance, correlation and kurtosis, for the Nifty spot and Nifty futures
index, and also for the underlying stocks and stock futures for return series All the
return series are calculated as the first difference of the log of the daily closing price
series of the two markets.
Tools: For the calculation of all the statistical techniques Ms-EXEL is being used
LIMITATIONS OF THE STUDY
1 The study is confined to closing prices of spot & futures in the Stock Market. It
does not include other indicators, which affects the Capital Market.
2 Most of the information gathered for the study is from Internet and magazines
etc. that are in the printed from.
CHAPTER 3
INDUSTRY PROFILE
The world of finance and capital markets has undergone a stunning transformation in the
last decade. Simple stocks and bonds seem to be out-fashioned alongside the dazzling
and fast faced world of futures, options, swaps and other ‘new’ financial products. A
derivative is a simply a financial instrument that derives its value from the underlying. In
a sense it can be seen as a bet on the futures pries. This is true in case of investors who
use this kind contract to speculate on the future pries. Hence derivative markets have
been blamed to increase the volatility in the spot market.
25
But derivatives also acts as insurance against adverse outcomes for the other party.
Financial markets are, by, nature extremely volatile and hence risk is an important factor
for the agents. Derivatives helps them reduce their risk. Hence it is not the derivative
product it self but the way in which it is used and who uses it, that determines whether
it’s risk reducing or betting.
APPLICATION AND USE OF DERIVATIVES
The general strategies of companies in using the derivative product are known. But data
is not available on how much company is hedging against a perceived risk or by all
companies in the aggregate. The various in the different industries make use of different
derivative products. For example financial institutions like banks have assets and
liabilities in the different currencies, with different maturities and with different credit
risks. Hence banks can be expected to use interest rate derivatives, currency derivatives
and credit risk derivatives. On the hand manufacturing companies that buy raw materials
and sell in global markets can be expected to use commodity and currency derivatives.
Some of the motives for using derivative products are
Risk management- Derivatives are a tool for companies to manage and reduce risk.
Insurance it self can be bought of as a derivative. For example, automobile insurance is a
bet on whether we have an accident or not. If we hit a tree, the insurance is valuable. If
the car remains in tact, insurance is of no value.
Speculation- Derivatives can provide ways to make bets that are highly leveraged and
tailored to a specific view. The potential for gain or loss can be huge and so the returns
will be high.
26
Reduced transaction- Sometimes derivatives provide a lower cost way to effect a
particular transaction. If a person wants to sell stocks and buy bonds, it is possible to
trade derivatives instead and achieve some economic effect.
Regulatory arbitrage- It is sometimes possible to circumvent regulatory restrictions,
taxes and accounting rules by trading derivatives. Derivatives can be used to achieve the
economic sale of stock (receive the cash and eliminate the risk of holding it) while
marinating the physical possession of the stock. This may give owner the voting rights
without the risk of holding the stock
Table no. 3.1 The various derivative products available in NSE are shown in the
following table
Products Index
Futures Options
Individual
securities
Futures
Options
Underlying
instruments
S&P CNX NIFTY S&P CNX NIFTY Securities
stipulated by
SEBI
Securities
stipulated by
SEBI
Type European American
27
Trading
Cycle
Max of 3 months 3
type of contracts
at any time-near
month, mid month far
month duration
Same as Index
futures
Same as Index
futures
Same as Index
futures
Expiry Date Last Thursday of
every month
Same as Index
futures
Same as Index
futures
Same as Index
futures
Contract
Size
Lot size of 200and
multiples
Same as Index
futures
As stipulated by
NSE
As stipulated by
NSE
Price Steps Rs.0.05 Rs.0.05
Base Price
Subsequent
Daily settlement price Daily close prices Daily settlement
price
Daily close prices
Price Bands Operating ranges are
kept at +10%
Operating ranges
at +10% of base
value
Operating ranges
are kept at +20%
Operating ranges
at +10% of base
value
Quantity
Freeze
20000 unties or
greater
20000 unties or
greater
Lower of 1% of
market wide
position limit
stipulated for
open position or
Rs. 5 crs
Same as
individual futures
Derivative market in India
The first step towards introduction of derivatives trading in India was the promulgation
of the Securities Laws (Amendment) Ordinance, 1995, which withdraw the prohibition
on options in securities. The market for derivatives did not take off immediately as there
was no regulatory framework to govern trading of derivatives. The Securities Contract
Regulation Act (SCRA) was amended in Dec 1999 to include derivatives within the
ambit of ‘securities’ and the regulatory framework was developed to govern trading of
28
derivatives. However, the trading was limited to recognized stock exchange, thus
eliminating the OTC derivatives.
The trading in BSE Sensex commenced on June 4, 2001 and in options on individual
securities commenced in July 2001. The following are some of the observations based on
the trading statistics by the NSE report on futures and options.
1. Single stock futures which closely resemble the former badla system constitute
for a sizable portion of the total F & O segment.
2. Due to the low volatility of the spot index, the trading on index options remains
poor. This is due to the fact that low volatility leads the higher waiting time and
lower commission to the brokers.
3. There is a decrease in the call-put volumes ratios suggesting that traders are
increasingly becoming pessimistic.
Evolution of futures:
Futures contract, especially those involve agricultural commodities, have been traded for
long. In the USA, for instance, such contracts begin trading on the Chicago board of
trade (CBOT) in the 1860’s . subsequently, contracts began to trade on commodities
involving precious metals like gold, silver etc. However, significant changes have taken
place in the last three decades with the development of financial futures contracts. They
represent a very significant financial innovation. Such contracts encompass a variety of
underlying assets securities, stock indices, interest rates and so on. The beginnings of
financial futures were made with the introduction of foreign currency futures contracts
on the International Monetary Markets (IMM) in 1972. subsequently, interest rates
futures where a contract is on an asset whose price is dependent solely on the level of
interest rates were introduced on the CBOT in October 1975. within a short span of time,
CBOT made a headway and introduced the Government National Mortgage Association
Contract (GNMA) and the years 1976 and 1977 saw the launching by IMM, respectively
of the Treasury Bill Futures and Treasury Bonds futures. Treasury Bonds is one of the
most actively traded futures contract in the world and has in particular, lent great impetus
29
to the introduction of similar futures on many futures exchanges the world over. An
important development took place in the world of futures contracts in 1982 when stack
index futures were introduced in the USA, after strong initial opposition to such
contracts. A futures contract on a stock index has been revolutionary and novel idea
because it represents a contract based negotiable instrument. It is instead based on the
concept of mathematically measurable index that is determined by the market movement
of a predetermined set of equity stocks. Such contracts are now very widely traded the
world over.
Futures Contracts:
As indicated, the futures contracts represent an improvement over the forward contracts
in terms of standardization, performance guarantee and liquidity. A futures contract is a
standardized contract between two parties where one of the parties commits to sell, and
the other to buy, a stipulated quantity (and quality, where applicable) of a commodity,
currency, currency, security, index or some other specified item at an agreed price on a
given date in the future.
The futures contracts are standardized ones, so that
i) The quantity of the commodity or the other asset which would be transferred
or would form the basis of gain/loss on maturity of a contract.
ii) The quality of the commodity if a certain commodity is involved and the
place where delivery of the commodity would be made.
iii) The date and month of delivery
iv) The units of price quotation
v) The minimum amount by which the price would change and the price limits
for a day’s operations, and other relevant details are all specified in a futures
contract. Thus, in a way, it becomes a standard asset, like any other asset to be
traded.
30
Futures contract are traded on commodity exchanges or other futures exchanges. People
can buy or sell futures like other commodities. When an investor buys a futures contract (
so that he takes a long position) on an organized futures exchange, he/she is in fact
assuming the right and obligation of taking the delivery of specified underlying item on a
specified underlying item on a specified date. Similarly, when an investor sells a contract
to take a short position, one assumes the right and obligation to make the delivery of the
underlying asset. There is no risk of non performance in the case of trading in futures
contracts. This is because a clearing house, or a clearing corporation is associated with
the futures exchange, which plays a pivotal role in the trading of futures. A clearing
house takes the opposite position in each trade, so that it becomes the buyer to the seller
and the seller to the buyer. When a party takes a short position in a contract, it is obliged
to sell the underlying commodity in question at the stipulated price to the clearing house
on maturity of the contract. Similarly, an investor who takes a long position on the
contract, can seek its performance through the clearing house only.
Traders in futures and options markets
The derivative instruments are used for various purposes. As indicated earlier they are
primarily used for purposes of managing risk by those managing funds. The trading of
these instruments also allows the market participants the opportunities of making profits
either by taking risk, i.e. speculation, or simultaneously taking opposite positions in the
spot and futures markets, or in the futures market alone to take advantage of price
differentials, i.e. arbitrage.
Accordingly, there are varied types of traders who trade in the futures and options
markets. Hedgers, speculators and arbitrageurs constitute three major classed of such
traders.
Hedgers
As already observed, hedging (covering against losses) is the prime reason which led to
emergence of derivatives. The availability of derivatives allows the undertaking of many
31
activities at a substantially lower risk. Hedgers therefore are an important constituent of
the traders in derivatives markets.
Hedgers are the traders who wish to eliminate the risk (of price change) to which they are
already exposed. They may take a long position on, or short sell, a commodity and
would, therefore, stand to lose should the prices move in the adverse direction. It will be
instructive to illustrate hedging with some examples. To begin with, suppose a leading
trader buys a large quantity of wheat that would take two weeks to reach him. Now, he
fears that the wheat may have to be sold at lower prices. The trader can sell futures (or
forward) contracts with a matching price to hedge. Thus if the wheat prices do fall the
trader would lose money on the inventory of wheat but will profit from the futures
contract, which would balance the loss. Similarly, an investor who holds a large quantity
of shares of a company can hedge by selling futures on them or by buying put option
contacts, in case he fears a fall in the price of that share.
Again, traders dealing in exports and imports are subject to fluctuations in the foreign
exchange rates, called the forex risk. In the absence of any hedging instruments, they are
bound to remain exposed to such risk and suffer in case of adverse changes in the
exchange rates. However, the forex risk, an integral component of the foreign trade3
business can be hedged with derivatives. For example today with the dollar rupee
forward contracts and with the trade with a lesser degree of risk. Accordingly, the trading
volumes on the dollar rupee forward contracts are worth as much as $400 million per
day.
Speculators
If hedgers are the people who wish to avoid the price risk, speculators are those who are
willing to take such risk. These are the people who take positions in the market and
assume risks to profit form fluctuations in prices. In fact, the speculators consume
information, make forecasts about the prices and put their money in these forecasts. In
this process, they feed information into prices and thus contribute to market efficiency.
By taking positions they are betting that a price would go up or they are betting that it
32
would go down. Depending on their perceptions, they may take long or short positions
on futures and/or options, or may hold spread positions (simultaneous long and short
positions on the same derivative)
The speculators in the derivatives markets may either be day traders or position traders.
The day traders speculate on the price movements during one trading day, open and close
positions many time a day not carry any position at the end of the day. Obviously they
monitor the prices continuously and generally attempt to make profit from just a few
ticks per trade. On the other hand, the positions traders also attempt to gain from price
fluctuations but they keep their positions for longer durations may be for a few days,
weeks or even months. They use fundamental analysis and/or technical analysis as also
any other information available to them to form their opinions on the likely price
movements.
Arbitrageurs
Arbitrageurs thrive on market imperfections. An arbitrageur profits by trading a given
commodity, or other item, that sells for different prices in different markets. In a
handbook brought out by the Institute of Chartered Accountants of India, the word
Arbitrage has been defined as follows:
“Simultaneous purchase of securities in one market where the price thereof is low and
sale thereof in another market, where the price thereof is comparatively higher. There are
done when the same securities are being quoted at different prices in the two markets,
with a view to make a profit and carries on with the conceived intention to derive
advantage from difference in the prices of securities prevailing in the two markets”.
Thus, arbitrage involves making risk-less profit by simultaneously entering into
transactions in two or more markets. If a certain share is quoted at a lower rate on the
Delhi Stock Exchange (DSE) and at a higher rate on The Stock Exchange, Mumbai
(BSE) for example an arbitrageur would profit by buying the share at DSE and
simultaneously selling it at BSE. This type of arbitrage is arbitrage over `space’. With the
33
introduction of derivatives trading the scope of arbitrageurs’ activities extends to
arbitrage over time. For instance, if an arbitrageur feels that the futures are being quoted
at a high level considering the cost of carry he could buy securities underlying an index
today and sell the futures, maturing in a month or two hence. Similarly, since futures and
options with various expiration dates are traded in the market, there are likely to be
several arbitrage opportunities in trading. Thus, if a trader believes that the price
differential between the futures contracts on the same that the price differential between
the futures contracts on the same underlying asset with differing maturities is more or
less than what he/she perceives them to be, then appropriate positions in them may be
taken to make profits.
It may be noted that the existence of well functioning derivatives markets alters the flow
of information into the prices. This is because in a purely cash market, speculators feed
information into the spot prices. In contrast, the presence of a derivatives market, besides
a cash market, ensures that a major part of the transformation of information into prices
takes place at the derivatives market, due to lower transactions costs involved in such a
market, and then it gets transmitted to the spot markets. It is here that the arbitrageurs
provide a link between the derivatives market and the cash market by synchronizing the
prices in the two. Thus, through their actions, the arbitragers provide a critical link
between the cash and derivatives markets.
Functions performed by derivatives markets
The derivatives markets perform a number of useful economic functions
1. Price Discovery: The futures and options market serve an all important function of
price discovery. The individuals with better information and judgment are inclined to
participate in these markets to take advantage of such information. When some new
information arrives, perhaps some good new about the economy, for instance, the actions
of speculators swiftly feed their information into the derivatives markets causing changes
in prices of the derivatives. As indicated earlier, these markets are usually the fist ones to
34
react because the transaction cost is much lower in these markets than in the spot
markets. Therefore, these markets indicate what is likely to happen and thsus assist in
better price discovery.
2. Risk Transfer: By their very nature, the derivative instruments do not themselves
involve risk. Rather, they merely redistribute the risk between the market participants. In
this sense, the whole derivatives market may be compared to a gigantic insurance
company providing means to hedge against adversities of unfavorable market
movements in return for a premium, and providing means and opportunities to those who
are prepared to take risks and make money in the process.
3. Market Completion: The existence of derivative instruments adds to the degree of
completeness of the market. A complete market implies that the number of independent
securities (or instruments) is equal to the number of all possible alternative future states
of the economy. To understand the idea, let us recall that the derivative instruments of
futures and options are the instruments that provide an investor the ability to hedge
against possible odds (or events) in the economy. A market would be said to be complete
if instruments may be created which can, solely or jointly , provide a cover against all the
possible adverse outcomes. It is held that a complete market can be achieved only when,
firstly there is a consensus amount all investors in the economy as to the number of odds,
or states, that the economy can land up with, and secondly, there should exist an Efficient
Fund on which simple options can be traded. Here an efficient fund on which simple
options can be traded. Here an efficient fund implies a portfolio of basic securities that
exist in the market with the property of having a unique return for every possible
outcome, while a simple option is one whose payoff depends only on one underlying
return. Evidently, since the condition requiring identification and listing of all possible
state of the economy can never be obtained in practice, and it is not possible to design
enforceable financial contracts which can cover an endless range of contingencies, a
complete market remains a theoretical concept an ideal situation which cannot be
obtained in practice. The presence of futures and options markets does, however lead to a
greater degree of market completeness.
35
CHAPTER 4
ANALYSIS OF LEAD-LAG RELATIONSHIP BETWEEN INDIAN SPOT MARKET AND FURTURES MARKET
Geweke Measure of Feedback:
36
Suppose, there are two markets, X market and Y market. Let Pxt and Pyt be the two
different price series of two different markets. Now, the nominal return of those stock
markets can be calculated by taking the first difference in the log of the stock price,
such that
rzt = lnPzt – lnPz,t-1, where z = x, y.
In – Natural log
When it is hypothesized that the return series of two different markets are interrelated,
then each of the return series are influenced by information influencing other markets,
information that do not influence other markets, and noise
Nominal return tables of the underlying stocks have showed in the annexure from anx
tab no.1 to anx tab no. 22. After calculating the nominal return further statistical
techniques are applied.
Summary Statistics for Cash & Futures Prices Index and for some underlying Stocks
Table no. 4.1 Calculation of Mean & Standard deviation of Spot and Futures market
NSE Code Spot market Futures market MEAN SD MEAN SD
ACC -0.00901 0.02415 -0.00665 0.02395
BHEL -0.00486 0.02518 -0.00081 0.02253
BPCL -0.00243 0.02453 -0.00553 0.02648
CIPLA -0.00132 0.03737 -0.00134 0.01602
DRREDDY -0.00473 0.02021 -0.00215 0.01980
37
GRASIM -0.00541 0.02375 -0.00572 0.02292
GUJAMBCEM -0.00574 0.03324 -0.00646 0.03187
HINDLEVER -0.00432 0.02139 -0.00148 0.01887
HINDPETRO -0.00374 0.02273 -0.00390 0.01943
INFOSIS -0.00319 0.01933 -0.00017 0.01861
IOC -0.00491 0.01839 0.00040 0.02065
ITC -0.00432 0.02041 -0.00186 0.02311
M&M -0.00730 0.02206 -0.00519 0.02262
MTNL -0.00067 0.03103 0.00079 0.02973
ONGC -0.00301 0.01912 0.00111 0.02110
RANBAXY -0.00695 0.02372 -0.00241 0.02246
RELIENCE -0.00019 0.01782 0.00013 0.01230
SAYAMCOMP -0.00458 0.02922 -0.00100 0.02199
SBIN -0.00728 0.02558 -0.00492 0.02093
TATAPOWER -0.00488 0.02221 0.00114 0.02542
TATATEA -0.00084 0.01911 -0.00006 0.02353
VSNL -0.00340 0.03196 -0.00216 0.03007
All the return series are calculated as the first difference of the Natural log (In) of the
daily closing price series of the two markets. The mean return of both the spot &
futures indices negative
Table no. 4.2 Calculation of Skewness and Kurtosis of Spot and Futures market
Annexure no. 14 Calculation of nominal return of MTNL
SPOT MKT FUT MKT
59
DATE OPEN CLOSE NOM REN OPEN CLOSE NOM RTN2-Jan-07 143.1 146.85 0.0259 144.95 148.25 0.02253-Jan-07 148 150.7 0.0181 148.25 151.9 0.02434-Jan-07 150.05 146.55 -0.0236 152.45 147.6 -0.03235-Jan-07 143.8 149.05 0.0359 137 149.5 0.0873