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A Literature Review of the Efficient Market
Hypothesis
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Turkish Economic Review
Volume 3
www.kspjournals.org
September 2016
Issue 3
A Literature Review of the Efficient Market
Hypothesis
By Bachar FAKHRY †1
Abstract. The efficient market hypothesis and behavioural finance theory have been the cornerstone
of modern asset pricing for the past 50 odd years. Although both theories are fundamental in
explaining modern asset pricing, they are opposing views. The efficient market hypothesis dictates
that the price of any asset depends on the information, while the behavioural finance theory dictates
that the price depends on the reaction of the market participants to the information. Therein lays the
key to the argument influencing modern asset pricing, does price immediately reflect the information
or market participants‟ perception of the information. In this paper, we will critical evaluate the
theory influencing the efficient market hypothesis. We will review the neoclassical economics
underpinning the efficient market hypothesis and the recent empirical evidence. In concluding, we
find that although the efficient market hypothesis has difficulties in testing and the empirical evidence
is mixed. Yet it is useful as a benchmark for regulators and central bankers alike. However, market
participants are homo sapiens and not homo economics; hence there is a requirement to understand
their reaction. So in essence leading to a requirement to include the behavioural finance theory, if we
are to understand asset pricing.
Keywords. Efficient market hypothesis, Behavioural finance theory, Neoclassical economics
JEL. B13, G02, G03, G12, G14.
1. Introduction
T
he dominant asset pricing theory since the early to mid-1960s have been the
efficient market hypothesis, developed through the contributions of
prominence articles such as Malkiel (1962), Fama (1965) and Malkiel &
Fama (1970). As proposed by Malkiel (1962) and Fama (1965), the efficient
market hypothesis argues that the price of any asset must immediately reflect
fundamental information about the asset. However, to a certain degree the efficient
market hypothesis relies on some untestable assumptions and models. Yet it is
possible to test the key assumptions of random walk and efficiency individually
thru the use of prominent tests like the variance ratio and bound tests proposed by
Lo & MacKinlay (1989) and Shiller (1981) respectively.
At the basic level, the efficient market hypothesis is the perfect competition,
which is widely used in neoclassical economics. Perfect competition implies the
assumption that market participants are rational, risk averse and profit maximising.
This assumption of market participants‟ behaviour extends to the efficient market
hypothesis, as proposed by Fama (1965) and Malkiel (1962). This highlights the
needs to evaluate the assumptions influencing the behaviour of market participants
under uncertainty before we can research the efficient market hypothesis.
The paper will open with a brief overview of the fundamental economic
paradigm underpinning the efficient market hypothesis, namely neoclassical
1
† University of Bedfordshire Business School, Park Square, Luton, LU1 3JU, UK.
. +00441234400400
. mbachar.fakhry@me.com
Turkish Economic Review
economics. This will be followed by an in depth review of the efficient market
hypothesis before concluding.
2. Neoclassical Economics
Historically, neoclassical economics have been the dominant view in explaining
the behaviour of financial markets under uncertainty. In essence, this view dictates
that rational market participants should follow the key assumptions of profit
maximization, Friedman (1953) and Alchian (1950), and risk aversion, Pratt &
Zeckhauser (1987) and Kimball (1993), in their choice of investment. The key in
understanding this argument is the negative correlation effect that the assumptions
of profit maximization and risk aversion have on financial asset prices. This view
has been criticised by many including proponents of the theory of behavioural
finance such as Freeman et al. (2004) and Kourtidis et al. (2011). The key problem
is the assumptions underpinning the view, are unrealistic, for example rational
agents as explained by De Bondt et al. (2008) and stockholder theory as argued by
Philips (1997). In this section, we critically review the neoclassical view
concentrating on the arguments influencing the assumptions of profit maximization
and risk aversion.
However, since financial institutions with stockholders, dominate the sovereign
debt market; it is necessary to discuss the stockholder theory. The stockholder
theory dictates that businesses only exist to maximize the stockholders‟ wealth
within the rule of the law; and as Alchian (1950) and Friedman (1953) hints this
means the realization of profits; put simply as Alchian (1950, p. 213) states:
“This is the criterion by which the economic system selects survivors: those
who realize positive profits are the survivors; those who suffer losses
disappear.”
This is also argued by Friedman (1953, p. 22)
“Whenever the determinant happens to lead to behavior consistent with
rational and informed maximization of returns, the business will prosper and
acquire resources with which to expand; whenever it does not, the business
will tend to lose resources and can be kept in existence only by the addition
of resources from outside.”
However, as many proponents of the stakeholder theory (such as Freeman et al.
2004; Philips et al., 2003; Philips, 1997 and Hosseini & Brenner, 1992) would
point out there is more to business ethics than just profits. The idea as defined by
Jensen (2002) is that businesses have to take into account the interests of all
stakeholders in the firm. By definition stakeholders includes all individuals and
groups who can affect the welfare of the business and not just shareholders.
However, Friedman (1970) argues that the only social responsibility for a business
is to increase its profit.
This seems to be suggesting that as dictated by the market selection hypothesis
in order for the financial institutions to survive, there is a need to attract investment
funds and thus generate huge profits as hinted by Dutta & Radner (1999). The
problem is that the behaviour of many of these financial institutions during the
assert price boom of the mid 2000s points towards pure profit maximization. As
defined by De Scitovszky (1943), pure profit maximization is the constant shifting
of profit targets to maximize the utility function of the shareholders. In contrast, the
key argument of Alchian (1950) and Tintner (1941) is that businesses just have to
make a positive profit to survive. The key point is, if they make losses they
struggle to survive as hinted by many including Alchian (1950) and Friedman
(1953). A point in case is the bankruptcy of Lehman Brothers and hence the
government bailout of many financial institutions during the financial crisis.
TER, 3(3), B. Fakhry, p.431-442.
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In a way this led to the accusations by many including government inquiries2
into the crises of financial institutions being too risk loving and greedy. However,
the point defined by Kimball (1993), standard risk aversion follows a marginal
increasing function, which means that bearing one risk makes the market
participant less willing to bear another risk. Another argument highlighting this is
that increasing risk leads to an upward shift in risk aversion as noted by Diamond
& Stiglitz (1974). This seems to be the overwhelming behaviour during the recent
financial and sovereign debt crises. A counter argument is that market participants‟
behaviour seems to be following proper risk aversion. As defined by Pratt &
Zeckhauser (1987), proper risk aversion dictates that with respect to two
independent risks, the rejection of one risk does not automatically deflect the
market participants from taking the other independent risk. This is mainly due to
market participants hedging their risks by the use of derivatives instruments such as
options and futures. An example is the use of credit default swaps as hedges
against the risk of a government defaulting on its debts. However, a key point made
in Alchian (1950) definition above is that companies that make losses do not
survive and this highlights an alternative argument that many market participants
display loss aversion rather than risk aversion. As defined by Kahneman et al.
(1991) and Thaler et al. (1997), loss aversion dictates that market participants tend
to be increasingly sensitive to a loss than to a gain or put simply the feedback
effect. This is obvious from the reaction of the financial institutions during the
sovereign debt crises where a loss made the institutions averse to any further
losses. This meant that the crises quickly spread from Greece to other sovereign
debt markets.
This leads us to the utility functions of the agents, since these agents caused the
problems as often cited by government inquiries into the crises (see footnote 4).
Given an option between a number of similarly risky investments, utility
maximization theories dictate that the agent choses the one with the highest
income. However, in a situation where the agents of financial institutions face
investments of different risks, the key question is how can they choose the
investment, which maximizes their utility? This problem occurs if interest rates are
low and banks therefore take on larger risks for a higher return. This has resulted in
the development of a sub-prime mortgage market, for example, where prices no
longer reflect the risks, which ultimately led to the collapse of the market. The
collapse occurred despite the existence of derivatives instruments such as CDS to
insure against that risk. Surely, this would conflict with the utility maximization
behaviour of buying risky securities such as subprime mortgage securities. Still,
this behaviour can be justified as rational, when one takes into account an S-shaped
utility curve. Friedman & Savage (1948) and Hartley & Farrell (2002) argue the
possibility of non-concave or non-diminishing marginal utility function leads to
different behaviour towards risk. This could explain the rational behaviour of the
huge gamble taken by the agents during the recent housing and mortgage backed
securities prices bubble. So in essence, the argument is that even efficient markets
can lead to market instabilities. As the crisis has shown, however, many market
participants did not actually know what they were buying as illustrated by (Beltran
& Thomas, 2010; Brunnermeier, 2009; Gorton, 2008). Therefore, the validity of
this argument is questionable in the least.
However, as argued by Pennings & Smidts (2003) the evidence points towards
an S-shaped utility function curve governed by the agent‟s attitude towards profit
2
Such as the House of Commons Treasury Committee Report Number 416 in the UK and Financial
Crisis Inquiry Commission Report of January 2011 in the US.
TER, 3(3), B. Fakhry, p.431-442.
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and loss, in other words, the shape of the utility function depends on the initial
situation, which is not compatible with rational behaviour. As this makes the utility
function unstable resulting in higher volatility of observed bond prices, as buying
and selling of bonds depended on the changing utility function. So in essence, the
argument is that even efficient markets can lead to market instabilities.
The utility function of the agents in the financial sector dictates the supply and
demand model is the reverse of the standard model as suggested by Cifuentes et al.
(2005) and Shin (2008). And as hinted by Shin (2008), this means under profit
maximization behaviour demand in high return assets increase putting upward
pressures on the equilibrium price, while risk aversion behaviour not only reverses
the demand for high return assets, due to the high risk associated with these assets,
but also increases supply leading to a decrease in the equilibrium price. The
sovereign debt crises elegantly illustrated this, in the high demand environment of
the flight to liquidity or quality during the financial crises; governments were able
to control the increase of demand by issuing more debt. During the sovereign debt
crises demand for several sovereign debts decreased hugely but the point here is,
the supply also increased putting huge downward pressures on the prices. The
reasons are simple unlike the standard model of supply and demand which dictates
when prices go down the issuer could reduce the supply to ease the pressures on
the equilibrium price. The existence of a secondary market meant that as market
participants became increasingly risk averse due to a high possibility of defaults,
they sold the debts meaning the secondary market became overstocked and the
prices plummeted. So no matter what the governments of the GIPS nations or the
Eurozone tried to do, they could not reduce the supply and hence the yield.
As hinted previously, an argument often used against the neoclassical
economics is that market participants are not all rational as suggested by Hong &
Stein (1999) and Kourtidis et al. (2011). In addition, unlike the assumption
dictating that the impact on the prices from irrational market participants is shortlived, the evidence from Barberis & Thaler (2003) is that the impact is long-lived.
The other issue concerning neoclassical economics is that the basis for many of the
simplifying assumption of the models is that all market participants exhibit rational
risk averse profit maximisation behaviour. As with the previous argument, the
existence of heterogeneous market participants each with a different attitude to
risks and earnings means that this assumption of homogeneous behaviour regarding
risks and earnings does not hold. In this case, we need to use behavioural finance
theories to identify the impact of heterogeneous market participants in different
circumstances as illustrated by Hong & Stein (1999).
3. The Efficient Market Hypothesis
Before we can start reviewing the efficient market hypothesis, there is a need to
define information in the context of this research. Although as hinted by Malkiel &
Fama (1970) and Malkiel (2003), the efficient market hypothesis dictates that
prices should reflect all available information (which is why we use prices rather
than spreads to check for market efficiency in this thesis). It is common practice to
distinguish information in terms of fundamental and non-fundamental information
(Bollerslev & Hodrick, 1992). In other words, information is the summation:
the fundamentals, such as yields or macroeconomic factors in the sovereign
debt market, as hinted by Cochrane (1991) and Malkiel (2003),
non-fundamentals, such as information from news (i.e. they do not have
any direct relationship to the asset but still have the power to influence the price
such as the 9/11 terrorist attacks, Lehman Brothers bankruptcy in 2008 and
Japanese Earthquake in 2011), as hinted by Caballero & Krishnamurthy (2008).
TER, 3(3), B. Fakhry, p.431-442.
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Malkiel & Fama (1970) notes simply put the efficient market is a market where
market participants are assumed to exhibit rational profit maximization behaviour
and prices always fully reflect available information. In essence, as Malkiel (2003)
states the view influencing the efficient market hypothesis is information spreads
quickly and priced into asset valuation immediately. Hence, as Malkiel (2005)
states this means that no arbitrage opportunities exist that allows for excess returns
without excess risks. As Malkiel (2003) hints in an efficient market, competition
will mean that opportunities for excessive risk adjusted returns will not persist.
However, this does not mean that the efficient market hypothesis imply market
prices will always be accurate and all market participants will always exhibit
rational profit maximization behaviour.
According to Malkiel & Fama (1970), the efficient market hypothesis dictates
that any model of expected price should follow the notation of 𝐸 𝑝𝑗 ,𝑡+1 𝜙𝑡 =
1 + 𝐸 𝑟𝑗 ,𝑡+1 𝜙𝑡 𝑝𝑗𝑡 . The importance of this equation in the concept of this
research is 𝜙𝑡 . According to Malkiel & Fama (1970), this suggests that the
expected price based on all available information at present is the price at present
plus the expected return based on all available information at present. As Malkiel
& Fama (1970), states this notation of the expected price, means regardless of
which model (e.g. APT or CAPM) used to derive the equilibrium price, expected
return should fully reflect all information available at present, transaction costs and
taxations being equal. Remember, as noted by Malkiel & Fama (1970), where
expected excess value or return on the asset is equal to zero then by definition the
excess value or return is a fair game with respect to the information available. In
essence as quoted by Malkiel (1962), the expectation of the future price of the asset
strongly influences the price of any long-lived asset. However, as put by Malkiel
(1962), it is plausible that the recent past dictates the market participants‟
expectations.
As suggested by both Fama (1965) and Malkiel (2003), the efficient market
hypothesis is associated with the idea influencing the random walk model. A big
issue with regard to the pricing of information, as seen in numerous events during
the recent financial and sovereign debt crises, is nobody can predict the impact of
information especially under uncertainty. Hence, as Fama (1965) states during
periods of uncertainty the equilibrium price can never be determined exactly.
Moreover, as hinted by Fama (1965) the instantaneous adjustment property of the
efficient market hypothesis may cause successive independent price changes,
which imply prices follow the random walk model. As defined by Malkiel (2003,
p. 59)
“The logic of the random walk idea is that if the flow of information is
unimpeded and information is immediately reflected in stock prices, then
tomorrow's price change will reflect only tomorrow's news and will be
independent of the price changes today.”
Although, as stated by Malkiel & Fama (1970), the random walk model does
not state that past information has no value in assessing distribution of future
returns. However, the random walk model does state that the sequencing of past
returns has no value in assessing distribution of future returns. This last statement
could infer the random walk model simply put is the direction in the short run of
expected returns and hence prices is unpredictable given all available information;
however, in the long run the trend in the market prices is partially predictable as
stated by Malkiel (2005). Furthermore, as stated by Timmermann & Granger
(2004), this makes the efficient market hypothesis notoriously difficult to forecast
prices and returns. The key logic behind this is if prices and returns were
forecastable, it would mean the existence of unlimited profit, which would make
the economy unstable as noted by Timmermann & Granger (2004).
TER, 3(3), B. Fakhry, p.431-442.
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As hinted by Ball (2009), many in the regulatory, financial markets and
academic environments were critical of the efficient market hypothesis in the
aftermath of the financial crisis. The reasoning behind their argument boils down to
the key notation underpinning the efficient market hypothesis that market prices
should reflect all available information. This led to the false sense of security by
regulators and market participants that market prices were correct based on all
information leading to an asset price bubble. Ball (2009) argues that while like all
good theories the efficient market hypothesis does have major limitations;
however, appear to exaggerate the criticisms in the aftermath of the global financial
crises. Since the theory of the efficient market hypothesis was only published by
Fama (1965), this argument is invalid since there have been many crises based on
the asset price bubble before the advent of the efficient market hypothesis. Ball
(2009) points to the fact that the efficient market hypothesis states current asset
prices are correct based on all available information; this means that market
participants should accept asset prices as correct. However, in the pre-crises asset
price bubble many market participants thought that asset prices were “incorrect”
and hence they could beat the market. This does seem to suggest that for some
market efficiency based on all information the price is right/correct. However, this
is misleading, since the efficient market hypothesis, as defined by Malkiel & Fama
(1970), does not state that the price is right/correct; it only states the price should
reflect all available information.
A key argument often put against the efficient market hypothesis is that
sometimes asset prices deviate from the fundamental value as hinted by many
including Barberis & Thaler (2003) and De Bondt et al. (2008). In addition, as
illustrated by Barberis & Thaler (2003) these deviations can be long-lived and
substantial. Another issue raised by Hong & Stein (1999) is that market
participants may not have access to all the information. And even if they do, as
suggested by De Bondt (2000) and Daniel et al. (1998) they may have different
sentiment about the information.
A key assumption used in the efficient market hypothesis is the existence of
well-informed wealthy rational arbitrageurs who push the asset price back to its
fundamental value (Fama, 1965). As Hong & Stein (1999) illustrate the existence
of these arbitrageurs does not counter the effect of other market participants and
Abreu & Brunnermeier (2003) argue that these arbitrageurs sometime like to take
advantage of the circumstances therefore pushing the price further from the
fundamental value.
Another key argument is that markets often go thru phrases where the efficient
market hypothesis is not enough to explain the anomalies, e.g. bubbles (see
Blanchard & Watson, 1982; Hong & Stein, 1999; De Bondt, 2000; Abreu &
Brunnermeier, 2003). Hence, there is a need to research the psychology of market
participants as suggested by De Bondt et al. (2008) and Kourtidis et al. (2011).
This leads towards the use of the behavioural finance theory.
The evidence seems to suggest there is a link between the pricing of information
and sovereign debt markets and as Brandt & Kavajecz (2004) hints there are two
main mechanisms for the daily changes in yields on sovereign debts: flow of public
information and price discovery. However, as illustrated by the numerous empirical
studies, the majority of the evidence is on the effect of macroeconomic information
and the heterogeneous interpretation, known as price discovery, or public
information. Christiansen (2000) argues that contrary to equity and corporate bond,
in general there is no private information in sovereign debts returns. Thus,
generally any movement in the returns on sovereign debts must come from public
information, i.e. macroeconomic announcements and since the time varying return
volatility of financial assets are autocorrelated and highly persistent, hence
TER, 3(3), B. Fakhry, p.431-442.
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macroeconomic announcements could explain the high persistent observed in the
volatility of sovereign debt markets. However, according to Greenwood &
Vayanos (2010), macroeconomic variables sometimes cannot fully explain the
variation in the yield curve and hence shifts in demand and/or supply of sovereign
debts are other important drivers in understanding the movements in the yield
curve.
According to Fleming & Remolona (1999), the key implications stemming from
how public information influences the US Treasury market is the extent to which it
drives the price movement and market makers are not confronted by imperfect
information when trading. As implied by the article unlike many other financial
markets, the treasury market being dominated by non-market based trading hence it
is restricted by maximum or minimum limits on bid-ask spreads or price changes,
therefore spreads and prices can adjust endogenously on public information. They
identify two stages in the market‟s adjustment for price formation and liquidity
provision in the immediate aftermath of the announcement of public information:
during the brief first stage, there is a sharp and instantaneous change in prices and a
reduction in the trading volume. During the next stage persistence trading surges
leads to high price volatility and moderately wide bid-ask spreads.
Bollerslev et al. (2000) analysed the 5 min intraday US Treasury bond futures
data over the period January 1994 to December 1997; researching long-memory
volatility in macroeconomic announcements in the observed data. They found that
US Treasuries futures exhibit long memory volatility in certain macroeconomic
announcements. According to their research, the open and close of markets have
higher volatilities than mid-day. The results indicate macroeconomic
announcement is a key source of US Treasuries market volatility compared with
prior results for FX and equity markets.
In an empirical study by Balduzzi et al. (2001) on the effect of regular
macroeconomics news on a number of US Treasuries, the study found the greater
the unexpected macroeconomic news announcement is, the more significant the
impact on the price of at least one of the US Treasuries. They found that generally
the price is usually the first affected by the announcement hinting that public
information mainly drives the initial price adjustment. The next stage is the
widening of the bid-ask spread suggesting informed trading drives both volatility
and volume. The final stage is the continuation of the volatility and volume beyond
the normality of the bid-ask spread hinting at liquidity trading. According to the
article, different macroeconomic factors have different effects on the various
securities. However, several announcements have significant impact on a number
of securities and the impact varies depending on the maturity. They conclude that
surprises in the announcement have a substantial impact on the price volatility but
the bid-ask spreads seem to recover quickly hinting at public information being
rapidly absorbed into the price.
In another empirical study by Brandt & Kavajecz (2004); show that price
discovery is not necessarily concentrated around the time of the public information
announcement. They imply at the existence of many factors influencing changes in
the daily yield and therefore the structure of the yield curve but highlight two main
complimentary factors: public information flow, such as periodically
macroeconomic information releases, and heterogeneous interpretation of public
information, i.e. price discovery, via trading in the Treasury market.
Interestingly, the Andersson et al. (2006) study of the effect of macroeconomic
news from various countries on price discovery in the German long-term
government bonds market finds that in general macroeconomic news have a
stronger longer-lasting impact on volatility. In addition, they found that
TER, 3(3), B. Fakhry, p.431-442.
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macroeconomic news from the US have more influence than the Eurozone
announcements or various countries within the Eurozone.
An important aspect of market participants‟ behaviour as hinted by Caballero &
Krishnamurthy (2008) is market participants face immeasurable systemic risks
under certain market conditions, which lead to market participants exhibiting flight
to quality or liquidity behaviour. Acknowledged as Knightian Uncertainty, it is
believed to explain the behaviour of market participants in the aftermath of a wide
range of events such as the Lehman Brothers Collapse in September 2008, Greek
sovereign debt crisis and 9/11 terrorist attacks. The common factor is the lack of
previous similar events to base information on. However, these events are based on
news and hence as hinted by Malkiel (2003) news is by definition unpredictable
resulting in price changes tending towards unpredictability and hence randomness.
In general, there is a large body of empirical literatures on the efficiency of the
financial market. A large percentage of these are based on the stock market, the
recent evidence on the efficiency of the stock market is mixed. Some found the
stock market to be inefficient; an example is Cajueiro et al. (2009) who found the
liberalization of the Greek stock market made it significantly less efficient.
However, the evidence from Cuthbertson & Hyde (2002) seem to suggest the
acceptance of the EMH for the French stock market and slightly less so for the
German.
In comparison, the body of empirical literatures on the efficiency of the
sovereign debt market is limited despite the first model of international efficient
market being based on the French sovereign debt market as stated by Zunino et al.
(2012). As Zunino et al. (2012) suggest the main reasons are the size of trading on
the stock market and the type of trading for the sovereign debt market, mainly
traded “over-the-counter”. Like the stock market, the recent empirical evidence on
efficiency in the sovereign debt market is mixed. Zunino et al. (2012) using
sovereign debt indices found that developed markets tend to be more efficient than
emerging markets.
Fakhry & Richter (2015) studying the impact of the recent financial and
sovereign debt crises on the US and German sovereign debt markets found in
general both markets were too volatile to be efficient. Although the US datasets do
suggest the market is efficient, is efficient, yet the subsamples suggest a mixed
results pointing to both crises having an impact on the efficiency of the US and
German markets. Conversely, Fakhry et al. (2016) extending the method used in
Fakhry & Richter (2015) to the GIPS markets, also find mixed evidence of
efficiency during the crises. This leads to a possible explanation of the efficiency of
the US datasets using the behavioural finance theory. Since market participants
were overreacting/underreacting to information during different periods, one
possible conclusion is that the overreaction/underreaction cancel each other out
leading to a stable state in the datasets giving the impression of market efficiency.
4. Conclusion
The efficient market hypothesis has been the mainstream of finance for nearly
50 years. However, as highlighted in the review, there are many issues with this
theory and it does throw up a basic flawed idea. The concept is that the price
always incorporates all the information at the time and hence the price reflects the
given information. This idea is at the centre of the debate surrounding the efficient
market hypothesis in the aftermath of the financial crisis. The other key issue is
that it relies on key assumptions made in neoclassical economics, which do not
always hold in the real world, i.e. the existence of rational market participants and
perfectly competitive markets. In truth, both the efficient market hypothesis and
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neoclassical economics view are essentially just models of the financial market and
are therefore best used as benchmarks and not observations of the real world. A
key factor to note is that market participants are homo sapiens and not homo
economics.
Another issue as highlighted by Ball (2009), many were critical of the efficient
market hypothesis in the aftermath of the financial crisis. The issue seems to be
based around the price is correct argument, however this is dangerously
misleading; since the efficient market hypothesis only states the price should
reflect all available information at the time. There are two arguments regarding this
issue; firstly, as highlighted by Ball (2009) in the pre-crisis period many market
participants thought prices were incorrect and using sophisticated forecasting
models, they could beat the market. Secondly, the efficient market hypothesis does
not work when there is unequalled access to information resulting in incomplete or
asymmetrical information. This goes back to the neoclassical economics
assumption of perfect competition; in a perfectly competitive environment,
information should be complete and accessible to all market participants.
Of course, a key neoclassical economics assumption is that market participants
are risk averse. However, as hinted by Buiter (2007) and Feldstein (2007), as early
as 2005 many thought there was massive under-pricing of risks. Hence, market
participants were not following this fundamental assumption of neoclassical
economics and thus the efficient market hypothesis. This goes to the heart of the
problem during any asset price bubble, as illustrated in the next section, it is often
the case that market participants usually think they could beat the market and
therefore consistently under-price risk in the attempt of making increasingly large
profits. Therefore, distorting the market from the fundamental price leading to
increased asymmetrical information.
The key is determining whether the financial market accept the efficient market
hypothesis, we presented strong historical empirical evidence suggesting financial
markets are not efficient. The tests and methods used to test the efficiency of the
markets in the empirical evidences are wide ranging, e.g. variance bound tests
(Shiller, 1979), variance ratio tests (Lo & MacKinlay, 1988) and cointegration tests
(Engle & Granger; 1987). Moreover, although the majority of the evidence seems
to be based around the stock market, yet it does suggest that the global financial
market is not random and asset prices are too volatile to be explained by the
information. This is the key to our research, if markets are too volatile to be
efficient then what is explaining the behaviour of volatility in the markets. Another
key factor to our research as pointed out by Bollerslev & Hodrick (1992), the use
of GARCH models can overcome clustering issues with the variance bound tests.
A possible issue in the variance bound tests is that market participants seem to
react differently to negative or positive information. In order to analyse whether
markets are more efficient during phases of negative or positive shocks, there is a
requirement to include the asymmetrical/leverage effect in the variance bound test.
In concluding, the efficient market hypothesis and behavioural finance theory
explain different parts of asset pricing. However, as things stand at present, both
have strong weaknesses. This means in order to fully understand the pricing of
assets there is still a requirement to use both fundamental theories. Coincidentally,
the behavioural finance theory could be extended to explain the efficient market
hypothesis by using the overreaction/underreaction steady state and the key is that
this is testable. So in essence the behavioural finance theory is a more complete
and therefore theoretically superior theory of asset pricing.
TER, 3(3), B. Fakhry, p.431-442.
439
Turkish Economic Review
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The Journal of Developing Areas
Special Issue on Kuala Lumpur Conference Held in November 2015
Volume 50
No. 5
2016
NEW EVIDENCE FROM THE EFFICIENT
MARKET HYPOTHESIS FOR THE NIGERIAN
STOCK INDEX USING THE WAVELET UNIT
ROOT TEST APPROACH
Ikechukwu Kelikume*
Pan-Atlantic University, Nigeria
ABSTRACT
The efficient market hypothesis (EMH) assumes the absence of asymmetric information in trading
activities in a typical stock market. The EMH has been tested extensively in the developed market
economy with mixed results, but very little contribution has been made on the subject matter in
developing market economy because of the presence of asymmetric information, institutional
constraints and poor data collection method. Validating the hypotheses for the African economy
has remained of great interest to researchers and investors given the repeated emphasis on the
African economy as the next frontier of economic growth. Issues surrounding the EMH in
developing economy rest on the possibility of exploiting the stock market to make quick returns.
The validity of this statement remains to be tested empirically for the developing market economy.
This paper investigates the EMH for a major developing African economy-Nigeria being the most
populous country in Africa and the second financial hob in Africa, next only to South Africa. The
study seeks to test the efficiency of the Nigerian stock market, using a wavelet unit root test with
different lags and other traditional random walk testing procedure. The use of the wavelet unit root
test entails the decomposition of the variance of the time series stochastic process into the variance
in its high and low-frequency series. The study made use of monthly average stock price index of
the Nigeria Stock Market over the sample period 1985 to 2015 to carry out the test. The result
obtained from the wavelet-based unit root tests showed clear and conclusive evidence that the
Nigerian Stock Market follows the random walk behavior during the period of the study and that
the Nigerian Stock Market is efficient. In other words, stock prices fully reflect all the available
information existing in the market and investors, armed with the trading rules, cannot exploit the
market to earn extraordinary returns. This has vital implications for speculators, investors and rentseekers hoping to capitalize on the unstructured nature of a typical developing market economy to
make quick wins. Since the Nigerian Stock Market is efficient, investors should desist from futile
attempts to forecast long-run share prices with the hope of making a quick, sustained win in the
market.
JEL Classifications: G10, C22, G14, G12, G17
Keywords: efficient market hypothesis, random walk hypothesis, wavelet unit root test
Corresponding Author’s Email Address: ikelikume@lbs.edu.ng
186
INTRODUCTION
The stock market in Nigeria has witnessed significant volatility since the 2007-2008
global financial crisis that had its root in the U.S Subprime mortgage crisis. The trend
analysis in the Appendix (Figure 1) shows that the stock market has responded
significantly to changes in the international oil price and exchange rate movement
between 2010 and 2015. Between January 2010 and December 2013, the Stock market in
Nigeria experienced significant growth as indicated by the market capitalization of listed
equities which rose from N5.411 trillion in January 2010 to N13.226 trillion in December
2013 (CBN Statistical Bulletin). However, stock market capitalization of listed equities
saw a sharp drop from N13.005 trillion in January 2014 to N11.477 trillion in December
2014. The sharp drop in market capitalization in 2014 can be traced to the declining
international crude oil price and the series of devaluation that have taken place in Nigeria
since the beginning of the third quarter of 2014 (see Chart in Appendix 1).
The declining trend in market capitalization has produced many losers and very
few gainers with many companies listed on the Nigerian Stock Exchange experiencing
wide swing in their share prices. The current trend in the stock market points directly to
the predictability of the movement of share prices and ability of players in the market to
“beat the stock market.”1 The debate on the (EMH) which is still ongoing between
financial market players and core finance academics is whether the stock market reflects
all information made available to market participants at any given time thereby making it
impossible for any one player in the market to beat the market through the attainment of
greater profitability.
The efficient market hypothesis (EMH) has played a central role in stock market
research. A series of studies allows us to have a robust technical knowledge on key issues
on EMH. For the most acceptable framework and econometric modeling technique (see,
for example, Fama, 1970, 1991; Fama and French, 1988; Lo and MacKinlay, 1988),
though a growing body of literature has been giving arguments in contradiction to the
EMH theory (i.e. Schleifer, 2000, Barber and Odean, 2000; Lo, 2005). The theory is
closely related to the idea of a “random walk,” which is characteristics of a price series
where all successive price changes are random deviations from past prices. The idea
behind the random walk is that if the information flow is unrestricted and information is
instantaneously reflected in stock prices, then today’s price change will reflect only
today’s news and will not be determined by the price changes yesterday.
The major goal of the present paper is to advance knowledge on the
particularities of the EMH in Nigeria by testing the efficiency of the stock markets. Most
empirical studies on EMH have focused on the weak form2 (which is the lowest level of
EMH) because if the evidence does not support the weak-form of market efficiency,
examining the EMH at the stricter levels of semi-strong and strong form becomes
The term “beat the market,” refers to the ability of investors to produce a better
return than the market average which is usually benchmarked with S and P 500 or the
Dow Jones industrial Average Index
2
The weak form of efficient market hypothesis describes a market in which historical
price data are efficiently digested and, therefore, are useless for predicting subsequent
stock price changes (see Hagin. 1979).
1
187
unnecessary. Therefore, we contribute to the literature by re-investigating the EMH,
using daily Nigerian stock market data.
Though various studies have addressed issues in this domain in the recent past,
we extend the existing studies using a larger sample and newer methodology; we study
daily data for the Nigerian stock market over the period 1885–2015. The large sample
affords us the availability of a greater variety of information. This should reflect the
dramatic transformations that have taken place in Nigeria’s securities sector in the past
decade. Methodologically, this study investigates the efficient market hypothesis in
Nigeria using the wavelet unit root tests, introduced by Fan and Gençay (2010).
The remainder of the study is organized as follows. Section 2 summarizes the
important literature on the efficient market hypothesis. Section 3 describes the
methodology as well as the data on the Nigeria stock markets. Section 4 reports the
empirical results. The conclusion is drawn in Section 5.
LITERATURE REVIEW
The study of the efficient market hypothesis has yielded a vast body of literature, being a
subject of main debate of traditional finance from the 1970s. In his Efficient Capital
Markets, Fama (1970), defined a stock market as efficient if the price of securities fully
reflects all available and relevant information. In the words of Dima and Milo (2009, p.
402): “The efficient market hypothesis … states that asset prices are rationally connected
to economic realities and always incorporate all the information available to the market.
In this way, securities markets are seen as efficient in reflecting information about
individual stocks or about the stock market as a whole.”
In such a situation, the market participants cannot achieve unusual returns,
different from what is obtainable if holding a randomly selected portfolio of individual
stocks with comparable risks. The main attractiveness of the Efficient Market Hypothesis
relies on the fact that it is built upon economic theory, specifically “random walk”. That
is, the efficient market hypothesis is related to “the random walk”, where price series
have subsequent price changes which are random departures from previous prices.
Eugene Fama’s (1970) seminal article, “Efficient Capital Markets” gave birth to
the efficient market hypothesis as the idea that “securities markets were extremely
efficient in reflecting information about individual stocks and about the stock market as a
whole” (Malkiel, 2003, p. 59). Today, as researchers have been discussing EMH for the
past decades, the literature on the theme is now vast (see Fama, 1970; 1991; Fama and
French, 1988, Lo and MacKinlay, 1988; Fawson, Glover, Fang and Chang, 1996;
Kadapakkam, 1999; Karemera, Ojah and Cole, 1999; Schleifer, 2000, Barber and Odean,
2000; Lo, 2005, Alam, Tanweer and Groenewold, Sam and Wu, 2003; Wheeler, Bill,
Tadeusz and Steve, 2002; Charles and Darne, 2009; Udoka, 2012; Gimba, 2012). In fact,
this decade started with one overview of literature on the Efficient Market Hypothesis by
Sewell (2011), which mainly focused on the history.
Economic theory suggests that a stock market is efficient if stock prices fully
reflect all available and relevant information at any time. For that reason, according to
Charles and Darne (2009, pp. 117-126), “given only past price and return data, the
current price is the best predictor of the future price, and the price change or return is
expected to be zero. The essence of the weak-form efficient market hypothesis [EMH],
which implies a random walk”.
188
More advanced econometric techniques have been applied to Efficient Market
Hypothesis studies in the late 1990s and early 2000s compared to the studies between the
1970s and 1980s, contributing to improvements in the understanding of efficient markets.
Some of the most advanced techniques have been applied to improve, among others, the
estimates of the random walk. An exhaustive review of the literature shows that the most
commonly tested form of EMH in the empirical literature is this random-walk
implication.
Some of the several statistical techniques commonly used to test weak form efficiency
are runs test, unit root test, serial correlation tests, and spectral analysis.
The runs test and unit root test are very common in studies from emerging stock
markets. For example, Karemera et al. (1999), Wheeler et al. (2002), and Abraham et al.
(2002) used the runs test; Groenwold et al. (2003), and Seddighi and Nian (2004) used
the unit root test; Fawson et al. (1996), Moorkerjee and Yu (1999), and Abeysekera
(2001) used both. Furthermore, Dickinson and Muragu (1994), Fawson et al. (1996),
Moorkerjee and Yu (1999), Abeysekera (2001), and Groenwold et al. (2003) used a
combination of correlation coefficient test and Q-test while Dockery and Vergari (1997),
Karemera et al. (1999), Alam et al. (1999), Chang and Ting (2000), Cheung and Coutts
(2001), Abraham et al. (2002), Smith et al (2002) and Lima and Tabak (2004) used
variance ratio tests. In addition, Ayadi (1983) used non-parametric tests; Sharma and
Kennedy (1977) and Fawson et al., (1996) used spectral analysis; Buguk and Brorsen
(2003) used fractional integration test; Seddighi and Nian (2004) used ARCH test.
The empirical literature shows that these empirical studies used different data.
While studies such as Abeysekera (2001), Abraham et al. (2002), Lima and Tabak (2004)
and Mikailu and Sanda (2007) used stock price indices, Dickinson and Muragu (1994),
Olowe (1999) and Wheeler et al. (2002) used individual stock prices while Seddighi and
Nian (2004) used both. Another issue is the frequency of time series. Mookerjee and Yu
(1999), Cheung and Coutts (2001), Groenewold et al., (2003), Lima and Tabak (2004)
and Seddighi and Nian (2004) used daily data; Samuels and Jacout (1981), Dickinson and
Muragu (1994), Dockery and Vergari (1997), Abraham et al., (2002) and Bashir (2010)
used weekly data, Sharma and Kennedy (1977), Barnes (1986), Fawson et al., (1996),
Olowe (1999), Karemera et al., (1999), Alam et al., (1999) and Udoka (2012) used
monthly; Chang and Ting (2000) used yearly.
These differences in methodologies used to test the EMH in emerging markets
have produced mixed and conflicting results. As a result, while some authors have
evidence in support, others have evidence to oppose the EMH. For the Warsaw Stock
Exchange, for instance, Wheeler et al. (2002) finds no evidence to support the weak form
efficient hypothesis. For the stock markets in Chile, Mexico, Argentina and Brazil,
Urrutia’s (1995) study provides mixed evidence on the weak form efficiency.
Specifically, results of the variance ratio test reject the random walk hypothesis for all
markets while findings from the run tests indicate that these markets are weak form
efficient. Bombay and Dhaka Stock Exchanges, Sharma and Kennedy (1977) and Alam
et al. (1999) show that the stock price changes support the random walk hypothesis. For
stock markets in Sri Lanka, Kuwait, Saudi Arabia and Bahrain, Abeysekera (2001) and
Abraham’s (2002) studies rejected the hypothesis of weak form efficiency.
Information efficiency and operational efficiency (Baumol, 1965; Fama, 1970;
Weston and Copeland, 1986) are the two major areas of stock market efficiency.
189
Research finds that a stock market may not be simultaneously operationally efficient and
informationally efficient (Udoka, 2012).
Studies such as Baumol (1965) and Fama (1970) have shown that a stock market
is operationally efficient based on its transaction costs, availability of price information,
price continuity and timeliness. Information efficiency of the stock market, on the other
hand, suggests that the market adjusts quickly to new information in accordance with
financial valuation theory (Udoka, 2012). In other words, the market can capture
correctly the impact of any new information on the stock price, in such a way that it will
be unnecessary for any investor to carry out independent valuation. This is the idea
behind the Efficient Market Hypothesis.
Moreover, today, one of the most remarkable features of international financial
development is the increasing prominence of stock markets in emerging markets. Yet,
these stock markets must be efficient in order to play their roles in the allocation and
pricing of capital, and the pricing of risk. Malkiel (2003, p. 60) defines efficient financial
markets as “markets which do not allow investors to earn above-average returns without
accepting above-average risks”. Yet, the current context of institutional rigidities in the
emerging markets raises efficiency concerns and necessitates an in-depth analysis of the
EMH in emerging markets. According to Smith, Jefferis and Ryoo (2002, p. 475):
“While the more-established emerging markets have been the topic of extensive analysis
of market efficiency, the same cannot be said for African markets, largely because many
of them are new and very small, and there has often been a problem obtaining data series
of sufficient frequency and duration”.
There have been many empirical studies on the weak form of EMH in emerging
stock markets, especially Nigeria (Smith et al 2002; Gimba, 2010; Mikailu and Sanda,
2007), but no none has ever used the wavelet unit root test applied in the present study.
As a matter of fact, only recently has Tiwari and Kyophilavong (2014) adopted the
wavelet unit root test approach for the investigation of the random walk hypothesis for
BRICS stock indices. Thus, the main difference between those studies and this one is the
econometric method. It is obvious from surveying the literature on this topic that much
has been learned about Efficient Market Hypothesis. For the Nigerian stock exchange,
Olowe (1999), Bashir (2009), Mikailu and Sanda (2007) and Udoka (2012) found that
evidence to support efficient in the weak form while Sanda (2009) found otherwise.
Therefore, much work remains. Quite interesting is Smith et al (2002) which rejected the
random walk hypothesis for Nigeria in a study on African stock markets.
Yet they posed a question: where the random walk hypothesis is presently
rejected, do those markets approach a random walk as they become more liquid and more
institutionally mature? Since Smith et al. (2002) study, the Nigerian Stock Exchange has
grown rapidly, operating in a continuously changing regulatory environment. The stock
market is now one of the biggest in Africa. The speculation is that the securities market
has the potentials to rank among the largest in the world in the coming decades.
Therefore, a step further is necessary in the study of EMH in Nigeria. In the next section,
the model that we use and the econometric method are described in more details.
190
METHODOLOGY
The unit root tests literature have developed one framework after another, with different
assumptions and incorporating different levels of less nonlinearity, less volatility and
structural breaks. While the previous unit root tests in the literature are on the basis of a
time domain analysis, the present study uses a different test in the framework of wavelet
analysis. The usage of the wavelets eases the decomposition of the stochastic processes
into its wavelet components, with each related to a specific frequency band. According to
Tiwari and Kyophilavong (2014, p. 39) “the wavelet power spectrum measures the
contribution of the variance at a particular frequency band in comparison to the overall
variance of the process”. In order to develop the wavelet-based unit root tests, Fan and
Gençay (2010) decomposed the variance of the underlying processes into the variance in
its high and low frequency components by means of discrete wavelet transformation
(DWT) process. Specifically, to develop the wavelet-based unit root tests, Fan and
Gençay (2010) defined {X}Tt = 1 as a univariate time series which can be represented as
xt xt 1 t
t
(1)
is a weakly stationary zero mean error with a strictly positive long-run variance which
can be represented as;
0 2 j
(2)
j E ( t t j )
(3)
2
j 1
The test is only applicable to the linear trend and non-zero mean cases.
Assuming that the process {xt} can be defined as:
xt t xts
Where,
(4)
xts is produced from equation (1).
s
If the null hypothesis H0: β = 1, then { xt } is a unit root process. On the other hand, if
s
H0: β < 1, then { xt } is a zero mean stationary process.
If γ = 0, then the demeaned series is ( xt
Where,
x
1 T
xt
T t
x ).
,
(5)
defines the sample mean of { x t }.
If γ ≠0, then the detrended series is ( x t
x ).
191
T
Where,
xt (x j x)
(6)
j 1
defines the sample mean of { x t }.
x is the sample mean of xt .
Where,
And
xt xt xt 1
(7)
x t is the mean of xt .
Subject to the unit scale discrete wavelet transformation (DWT), Fan and Gençay (2010)
established two test statistics, for the aforementioned demeaned and the detrended series.
The test statistics for the demeaned series is defined as:
T /2
S
LM
T ,1
(B
t 1
T
(x
t 1
M
t ,1
)2
(8)
t
x)
2
Where BMt,1 denotes the scaling coefficient of the demeaned series.
The test statistics for the detrended series is defined as:
T /2
S
LM
T ,1
(B
t 1
)
(9)
T
(x
d 2
t ,1
t
x)
2
t 1
Where Bdt,1 denotes the scaling coefficients of the detrended series. These two can be
used to test the null hypothesis, H0: β = 1 against the alternative hypothesis, H1: β < 1in
model (1). We use the monthly average stock index of the Nigerian Stock Exchange for
the period of January 1985 to June 2015. The data is collected from the Central Bank of
Nigeria (CBN) Statistical Bulletin.
EMPIRICAL RESULTS
The outcomes of the wavelet-based unit root tests of the test statistics for Equations. (8)
and (9) are as shown in Table 1.
192
TABLE 1: WAVELET UNIT ROOT TESTS
Stock Indices
Test Statistics
Ld
LM
Lag 5
Lag 10
Lag 15
Lag 20
Lag 25
Lag 30
S T ,1
S T ,1
-97.2*
-96.2*
-96.1*
-95.2*
-95.8*
-94.9*
-412.2*
-408.2*
-407.5*
-403.4*
-402.7*
-402.3*
Notes: * Denotes significance at the 1% level.
The test statistic based on Eq. (3) clearly rejects the null hypothesis. The test statistic
based on Eq. (4) affords sufficient evidence to reject the null hypothesis despite the
different lag lengths. The use of six different lags: 5, 10, 15, 20 (the optimal choice), 25
and 30 ensures the robustness of our results. In the final analysis, we compare our
wavelet results with a battery of traditional unit root tests such as Augmented DickeyFüller (ADF), Phillips and Perron (PP) and Kwiatkowski-Phillips-Schmidt-Shin (KPSS).
The ADF, PP, ADF-GLS, and KPSS reveal the fact that the series are non-stationary in
levels, irrespective of the level of confidence (i.e. 1 %, 5 % or 10 %). On the contrary, the
same tests in first-order differences confirmed that the series evolution is I(1) process as
shown in Table 2.
TABLE 2: TRADITIONAL UNIT ROOT TESTS
Constant
Constant and Trend
ADF
-6.501754* (9)
-7.430542* (9)
DF-GLS
-0.849515* (9)
-4.488887* (9)
PP
-6.288269* (3)
-7.267419* (3)
KPSS
0.195439* (3)
0.085535* (3)
Notes: * Denotes significance at the 1% level. “(k)” denotes the lag length. Selection of lag length
in ADF
DF-GLS test is based on the SIC, NP test is based on the Spectral GLSdetrended AR based on the SIC and the PP test is based on the Newey–West with a
Bartlett kernel.
Evidence from this study has therefore shown that the prices of stocks on the Nigerian
Stock Exchange are random. According to Nwosa and Oseni (2012; p. 42):
“The efficient market hypothesis is based on the proposition that stock price fully reflect
all available information in the market and investors cannot use available information or
any trading rules to earn extraordinary returns or use available information to exploit
the market.”
While contrary evidence of the Nigerian stock market has been reported in
Olowe (1999), Vitali and Mollah (2010) and Nwosa and Oseni (2012), similar evidence
193
was found by Ajao and Osayuwu (2012). Although some empirical evidence from
Nigeria and other emerging stock markets negates the efficient market hypothesis,
however our empirical evidence shows that the Nigerian stock market is informational
efficient. That is to say, stock prices actually possess all available information in the
market and hence financial analysts cannot earn abnormal returns from stocks, using
previous stock prices to foresee the pattern of future stock returns. Evidence from this
study has therefore shown that the prices of stocks on the Nigerian Stock Exchange are
random.
CONCLUSIONS
This paper investigates the efficient market hypothesis in Nigeria, testing for the
efficiency of the Nigerian stock market, using the Fan and Gençay’s (2010) wavelet unit
root test approach with different lag lengths. Further, we used a battery of traditional unit
root tests to ensure the robustness of our results. The wavelet-based unit root tests show
clear and conclusive evidence that the Nigerian Stock Market follows the random walk
behavior during the studied period. That is, the market is efficient. In other words, the
stock prices fully reflect all available information in the Nigerian Stock Market and
investors, armed with the available information or the trading rules, cannot exploit the
market to earn extraordinary returns.
Although some empirical evidence from Nigeria and other emerging stock
markets negates the efficient market hypothesis, however our empirical evidence shows
that the Nigerian stock market is informational efficient. That is to say, stock prices
actually possess all available information in the market and hence financial analysts
cannot earn abnormal returns from stocks, using previous stock prices to foresee the
pattern of future stock returns. Evidence from this study has therefore shown that the
prices of stocks on the Nigerian Stock Exchange are random.
This has vital consequences on the fortunes of equity investors. Since the
Nigerian Stock Market is efficient, investors should desist from futile attempts to forecast
share prices. Policy makers can come to the aid of potential investors, to enlighten them
of the opportunities available in the market in order to stimulate their interest and thus
deepen the breadth of the capital market.
As well, to augment the informational efficiency of the Nigerian stock market, durable
and adequate supervision by the regulatory authorities is necessary. Coupled with
appropriate policies, this would preclude any stock price bubble while ensuring that
information about stock prices is a true reflection of share values.
194
ENDNOTES
The term “beat the market,” refers to the ability of investors to produce a better return than the
market average which is usually benchmarked with S&P 500 or the Dow Jones industrial Average
Index.
2The weak form of efficient market hypothesis describes a market in which historical price data are
efficiently digested and, therefore, are useless for predicting subsequent stock price changes (see
Hagin. 1979).
1
APPENDIX
FIGURE 1 TREND IN STOCK PRICE INDEX, CRUDE OIL PRICE AND
EXCHANGE RATE IN NIGERIA 2010-2014
Movement Stock Price Index, Crude Oil Price and Exchange
Rate 2010-2014
200
150
100
50
0
2010-M1
2010-M4
2010-M7
2010-M10
2011-M1
2011-M4
2011-M7
2011-M10
2012-M1
2012-M4
2012-M7
2012-M10
2013-M1
2013-M4
2013-M7
2013-M10
2014-M1
2014-M4
2014-M7
2014-M10
50,000.00
40,000.00
30,000.00
20,000.00
10,000.00
0.00
All Share Price Index
IFEMDollar
Crudeoilprice
Note IFEM Dollar implies interbank foreign exchange market while Crude oil price is Price of
Nigeria Burning Light Crude oil.
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The Efficient Market Hypothesis:
A Critical Review of the Literature
Mehwish Naseer* and Yasir bin Tariq**
An efficient capital market is one in which security prices adjust rapidly to the arrival of new
information. The Efficient Market Hypothesis (EMH) suggests that security prices that prevail at
any time in market should be an unbiased reflection of all currently available information and return
earned is consistent with their perceived risk. Theoretical and empirical literature on EMH offers
mixed evidences. Some studies have supported the hypothesis, while others have revealed some
anomalies, i.e., deviations from the rules of EMH. This review paper presents an analysis of EMH
and possible causes and evidences of anomalies. It also examines stock market efficiency in Karachi
Stock Exchange.
Introduction
A market is said to be efficient with respect to information if the price ‘fully reflects’ all
available information regarding securities. Efficient Market Hypothesis (EMH), one of the
most eminent and influential of modern financial theories, assumes that all relevant
information is rapidly incorporated in security prices as released. However researchers and
investors disagree with EMH both empirically and theoretically. The emergence of Behavioral
Finance (study of finance from the perspective of psychology and sociology) by the start of
21st century has opened new avenues of research. The focus of discussion shifted from efficient
market model to the behavioral and psychological aspects of market players. It comprehended
that unlike traditional economic theory, psychological theory could account for the
irrationality and illogicality in behaviors. It is claimed that stock prices are predictable and it
is possible to consistently and purposefully outperform a given market using these predictable
patterns. The ‘Stock Market Crash of 1987’, when the DJIA fell by over 20% in a single day,
also empirically contradicted EMH.
Supporters of behavioral finance attributed market inefficiency to the combination of
conventional economic and financial theory with behavioral psychological theories and
cognitive biases like personal judgment, overconfidence, overreaction, expectations regarding
future, word-of-mouth optimism/pessimism, ego involvement, self-esteem and self-attributed
*
**
Research Scholar, Department of Management Sciences, COMSATS Institute of Information Technology,
Abbottabad, Khyber Pakhtunkhwa, Pakistan. E-mail: mehwishnaseer77@gmail.com
Assistant Professor, Department of Management Sciences, COMSATS Institute of Information Technology,
Abbottabad, Khyber Pakhtunkhwa, Pakistan. E-mail: yasirtariq@ciit.net.pk
©
48 2015 IUP. All Rights Reserved.
The IUP Journal of Financial Risk Management, Vol. XII, No. 4, 2015
biases. Calendar effects, predictable patterns of valuation parameters (P/E and B/MV ratios),
short-term momentum and tendency of returns to reverse over long run also contradict
EMH. EMH was mostly attacked on the grounds of the speed with which information is
supposed to reach market players. Critics argued that information cannot be readily
incorporated in security prices as assumed by EMH. Empirical evidences, though, have shown
mixed results, not strongly supporting EMH.
The present paper aims to review the status of EMH with special emphasis on Karachi
Stock Exchange. This review paper explains market anomalies with respect to market efficiency
and Behavioral Finance. The paper is structured as follows: it explains the EMH and the
assumptions and forms of EMH with theories related to market efficiency., followed by a
review of the existing literature regarding tests of three forms of EMH along with existence.
Subsequently, it provides evidences and possible causes of market anomalies and focuses on
previous research related to market efficiency in developing countries with special reference
to Karachi Stock Exchange. Finally, it offers the conclusion.
The Efficient Market Hypothesis
The EMH, one of the most accepted and eminent financial theories, stated that new
information readily incorporated in security prices and market activities or analysis of
historical and present data cannot help investors to predict future or to earn above average
risk adjusted profit. Moreover, expected return based on this price is consistent with risk,
implying that arbitrage opportunities are not viable to consistently identify and exploit.
EMH is primarily based on random walk model, according to which information comes into
market in random and unpredictable manner and price changes are thus expected to be
random and independent. It is suggested that above average return is associated with above
average risk.
Efficient market hypothesis rests on three crucial arguments or assumptions:
1. Investors are assumed to be rational and value securities on the basis of maximum
expected utility.
2. If investors are not rational, their trades are assumed to be random, offsetting any
effect on prices.
3. Rational arbitragers are assumed to eliminate any influence irrational investors
have on market/security prices.
Forms of Efficient Market Hypothesis
Efficient market hypothesis can be categorized into weak form, semi-strong form and strong
form EMH (Figure 1). Weak form EMH is consistent with random walk hypothesis, i.e., stock
prices move randomly, and price changes are independent of each other. It states that security
prices reflect all market information regarding the security, i.e., historical price data. Therefore,
it is not possible to beat the market by earning abnormal returns on the basis of technical
(trend) analysis (where analysts accurately predict future price changes through the chart of
The Efficient Market Hypothesis: A Critical Review of the Literature
49
Figure 1: Forms of Market Efficiency
Strong Form
(All Public and Private Information)
Semi-Strong Form
(All Public Information)
Weak Form
(All Security Market Information)
past price movements of stocks). According to semi-strong form EMH, prices adjusted rapidly
according to market and public information, i.e., dividend and earning announcements and
political or economic events. So it is not possible to earn abnormal returns on the basis of
fundamental analysis. Strong form EMH states that prices reflect market, public and private
information, i.e., no investor has monopolistic access to information.
Theories of Efficient Markets
Fair Game Model
Empirical literature on market efficiency also suggested that market equilibrium can be stated
in terms of expected return and equilibrium expected return is a function of risk associated
with securities; somehow it follows the Sharpe-Lintner ‘two parameter model’ and leads to
‘fair game model’. Fair game model depicts that as current prices reflect all new information,
investors trading at prevailing market prices earn a return consistent with risk. Competition
among a large number of profit-maximizing and price-sensitive investors adjusts prices rapidly
to the arrival of new information, so no investor can anticipate the information or market
pattern. Moreover, numerous and assertive transactions among a large number of traders
move the prices quickly to the new equilibrium, reflecting all new information and thus
making the market more efficient.
Submartingale
Literature also suggested that price sequences for securities follow a submartingale.
Submartingale is a fair game model which states that next period prices are expected to be
greater than current period prices, so knowledge of past events never help to predict the
future values. Trading rules based on past information cannot help investors earn above
average risk adjusted profit than a simple buy-and-hold policy.
50
The IUP Journal of Financial Risk Management, Vol. XII, No. 4, 2015
Random Walk Model
Early studies on market efficiency were mostly based on random walk model; stock price
changes are independent of each other, having the same distribution, and so past trends or
movements cannot be used to predict future movement and it is not possible to outperform
the market without assuming risk. Random walk model as an extension of fair game model
strongly supported the independent and unpredictable pattern of information.
Literature Review
Weak Form Efficient Market Hypothesis
Weak form hypothesis assumes that security prices are adjusted rapidly on the arrival of new
market information, i.e., past price and return trends. So it is not possible for investors to
earn abnormal return on the basis of previous information. Researchers test the weak form
efficient market hypothesis through measuring autocorrelation among returns and by
examining the impact of different trading rules on stock prices.
Studies indicated that over a short time period like 1, 4, 9 and 16 days, a serial correlation
is found among returns of 30 stocks of DJIA for the period of 1957-1962. But these correlations
are always found to be equal to zero, representing a linear independency among returns and
thus consistent with market efficiency model (Fama, 1970).
In order to justify the presence of nonlinear independency among stock returns, researchers
also tested the performance of various trading rules. Y filter test that is basically ‘one security
and cash’ trading rule is approved to be consistent with Fair Game Model. Alexander (1961)
tested price indices from 1897-1959 for filters ranging from 1% to 50%.
Fama and Blume (1966) tested and compared the effectiveness of various filters to buyand-hold policy for Dow Jones Industrial Average’s stocks. They empirically proved that
filters cannot beat the simple buy-and-hold policy.
Although some contradictory evidence also revealed that small filters (0.5%-1%) are
inconsistent with submartingale, these filters outperform the buy-and-hold policy only if
ignoring commissions and transactions cost. Fair game model also supported market efficiency
when tested for Treasury bill market.
Osborne (1962) and Fama (1965) also used run tests to support the random walk model
and proved the independence of stock price changes over time. Security prices adjusted
rapidly on the arrival of new information. Price adjustment may be imperfect, i.e., sometimes
prices will be over-adjusted and in some cases it will be under-adjusted, but their randomness
makes unbiased adjustments.
Neiderhoffer and Osborne (1966) observed two deviations from randomness in common
stock (limit order) prices in successive transactions. In a given series of price changes, where
+ is assigned to a positive change and – to a negative change, continuation (+ + +, – – –) is
more likely to happen than reversal (+ + –, – – +). They justify this non-random behavior
The Efficient Market Hypothesis: A Critical Review of the Literature
51
by arguing that inefficiency is due to the specialist’s activity on NYSE trading floor as they
have monopolistic access to unexecuted limit orders in a given stock.
Semi-Strong Form Efficient Market Hypothesis
Semi-strong form market hypothesis is concerned with the assumption that current prices
fully reflect the publicly available information (announcement regarding earnings, dividends,
stock splits, new issues, etc. and other economic or political events). Studies revealed that
information regarding stock split is fully reflected in stock prices when actual stock split
happens. Investors cannot gain from split information once it is announced publicly (Fama
et al., 1969).
Ball and Brown (1968) used three classes of data, i.e., contents of income reports, dates of
report announcement and security price movements around announcement dates of 261
larger firms. The data obtained from Standard & Poor’s Compustat tapes examine the effect
of annual earnings announcements. Residuals from a time series regression of firm’s annual
earnings are used to classify earning as decreased or increased. Results revealed that only 1015% of the information regarding annual earnings announcement has been anticipated.
A similar study was conducted by Waud (1970) to measure the impact of announcement of
discount rate changes by Federal Reserve Bank. The first trading day following the announcement
depicted a statistically significant announcement effect, but the magnitude was just 5%.
Scholes (1969) examined the impact of new issues of stock and large secondary offerings
of common stock on security prices. He proved that market on the average has fully adjusted
to the information and followed a random pattern as corporate insiders needed to report to
the Security and Exchange Commission within six days of sale.
Alford and Guffey (1996) observed seasonality over two time periods: 1970 to 1994 and
1983 to 1994 in 18 countries (including the G7). ANOVA and Friedman Rank Sums were
used to analyze return data stated in terms of dollar. The data from 1970 to 1994 revealed
some calendar effect for Canada, France, Germany, and Italy. No significant evidence was
found for seasonality in US, UK and Japan. They inferred that seasonalities may not exist and
that investors cannot utilize the patterns to predict prices. All available evidences were
found to be consistent with efficient market model.
Strong Form Efficient Market Hypothesis
Strong form market hypothesis is concerned with the assumption that all available
information is incorporated in security prices and no investor has monopolistic access to the
private information. So no investor is able to earn above average risk-adjusted profit by
anticipating the information.
Jensen (1968) used the Sharpe and Lintner model of equilibrium expected return and
analyzed the returns of 115 mutual funds for a time period of 10 years (1955-1964). As a
proxy/norm of market portfolio, he used Standard & Poor’s 500 index. He proved empirically
that regardless of the fact that fund managers, specialists and market insiders have a wide
52
The IUP Journal of Financial Risk Management, Vol. XII, No. 4, 2015
range of business and financial contacts, no group has access to the private information and
they cannot anticipate the future returns.
Financial Market Anomalies
The literary meaning of the word ‘anomaly’ is an unusual or odd occurrence. Frankfurter and
McGoun (2001) defined anomaly as indiscretion or a deviation from an ordinary or natural
order or an extraordinary condition. According to them, anomaly is generic in nature and
applies to any underlying novelty of fact, new or unanticipated phenomenon or a surprise
regarding any theory, hypothesis or model. The presence of anomalies indicates market
efficiency. Anomalies exhibit different behaviors with respect to time; some occur only once
and then vanish, while others occur recurrently, or continuously. An anomaly represents
divergence from the currently accepted standard that is too extensive, systematic and too
fundamental to be ignored, cannot be rejected as random error or dismissed by relaxation of
the normative scheme (Tversky and Kahneman, 1986).
Latif et al. (2011) discussed different anomalies, their causes and some behavioral aspects
of such anomalies. Anomalies are categorized into calendar anomalies (weekend effect, turn
of the month effect, year effect and January effect), fundamental anomalies (value anomaly,
low price to book, low price to earnings, neglected stocks, high dividend yield) and technical
anomalies (moving averages, i.e., buying stocks when short-run average return rises over
long-run averages and selling the stocks when short-run averages fall below the long-run
averages, trading range break, i.e., buying of a stock when the prices rise above last peak and
selling when prices fall below last trough). It is concluded that calendar, fundamental, technical
analysis and insider trading can be used to earn abnormal profit, thus negating the efficient
market hypothesis.
Value Versus Growth Anomaly
Funds with above average rate of growth and earnings are referred to as growth funds/stocks,
while those with lower than average sales and earnings as value stocks. Graham (1962)
suggested that value strategies outperform the growth strategies. According to Lakonishok
et al. (1994) the market overestimates the potential growth of growth funds, though the value
stocks perform as well compared to growth stocks. Individual investors overestimate growth
funds on two main grounds, either because of judgmental errors or they attributed future
performance to past performance or growth though that growth rate is not likely to persist in
future. Institutional investors, though, rarely make judgmental error; however they prefer
growth stocks because of sponsor’s preferences of outperforming firms. Lakonishok et al.
(1994) are of the view that time horizon is also of considerable importance and investors
favor growth stocks over value stocks as they desire above average return in a short period of
time. Some researchers attributed superior performance of value stocks to the risk factor
associated with these stocks.
Calendar Anomalies
Calendar anomalies are the anomalies related to particular time period. Researchers
documented some unusual seasonal returns like strong January return (Haugen and Jorion,
The Efficient Market Hypothesis: A Critical Review of the Literature
53
1996), Monday return (Fama, 1980) and around holidays return (Ariel, 1990). Patel and
Evans (2003) examined monthly return data of representative stock indexes for the G7
countries from 1960 to 2001. Stock return data exhibited a much broader seasonal pattern
and was found consistent with efficient market theory. The study revealed a significantly
higher average monthly return from December through May than from June through
November and confirmed the presence of higher January effect in all G7 countries.
Agrawal and Tandon (1994) examined five different seasonal patterns (weekend, turn of
the month, Friday, January and monthly effect), for 18 countries, including the G7, from
1971 to 1987. The results suggested a broad seasonal pattern of stock returns than the January
effect.
Chen and Chan (1997) also tested seasonality of the US financial data series for eleven
different securities (stock, bonds, bills) for the period 1926 to 1990, under controlled economic
condition. No seasonality was found in six of the eleven series, while a stronger January effect
was exhibited by small stock firms during periods of economic expansions. Chen and Chan
suggested a broader seasonal pattern of stock returns as large stocks showed strong summer
returns. A very complex and differing pattern of seasonality was demonstrated by the rest of
the series in different economic conditions across differing time intervals.
However, after the consideration of the transaction cost, these calendar effects are found
to be very small and ineffective. ‘January Effect’ (rise of prices in very early days of New Year),
seemed to disappear as soon as they got considerable publicity.
Under-Reaction and Overreaction
Wouters (2006) suggested that the security market’s over and under reaction is due to investor’s
psychological and cognitive behaviors.
Barberis and Shleifer (2003) attributed the under-reaction to the conservatism of the
investors as they remain stuck to the previous information with the expectation that the
security would behave in the same manner as it did earlier. The slow reaction of the investor
(the investors do react to the prior information but not in the same manner as required
by the information to do and stick to the prior information expecting that the security
would do the same as it was doing in the past), named as conservatism, causing the
under-reaction.
These arguments seemed to be consistent with the conservatism described by Edwards
(1968) as slow reaction ...
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