Abstract: The current literature does not offer a quantitative test of the irrational behaviour of people, especially taking a proxy for irrationality with reference to an economic activity. This paper examines the role of religious believers in carrying out economic activities. The form of stock market efficiency has been taken as a proxy for testing the null hypothesis that religious believers are irrational on average. The findings suggest that equity markets in religious countries are inefficient at ‘weak form’ level. This provides prima facie evidence for the hypothesis that religious believers are irrational on average. As such, the equity price changes of these stock markets can be forecast on the basis of past patterns. Poor income level and education are the main causes for developing irrationality. As these irrationalities cost economies, the policymakers should design and implement more robust policies and guidelines for poverty alleviation and the enrichment of education at country level
<a href="https://dx.doi.org/10.15611/fins.2020.1.04">DOI: 10.15611/fins.2020.1.04</a>
<p>JEL Classification: G12, G14, I31, N30, Z12, Z13 </p>
<p>Keywords: religion, believers, efficient market hypothesis (EMH), atheists, irrationality, education.</p>
<h2>1. Introduction </h2>
<p>My expectations were reduced to zero when I was 21. Everything since then has <br />been a bonus [Hawking 2004]. By
nature, human beings tend to form expectations <br />about the future in day-to-day life and human actions are then
incidentally directed towards achieving such expectations in the course of living. If they are realized as expected,
the happiness occurs but with no incremental benefits (i.e. payoffs) at the time of realization because they have
prevailed at the time of expectation. To understand this from an academic perspective, read the life lesson thesis of
Bachelier [1900] in which he put forward the idea that alert speculators receive nothing from the past prices. Hence,
a speculator will not benefit from tracing past records <br />(or patterns) of security price movements. Another
valuable explanation was given by Keynes [1937], according to whom (paragraph three), everything in this world
<br />is certainly uncertain and the best way to face this uncertainty is to be rational in decision-making. What
causes one’s intention to be rational is the irrationality of thinking rooted in the existing beliefs of people about
the universal truth. There is only one truth in this world and people look at this truth from different perspectives
through different Gods. This does not mean that those who believe in God are irrational, but the way of forming
expectations is merely on the basis of faith, without a logical reasoning (throughout this paper, God is referred to
as any gods people believe in and is plural for the purpose of respect). A contrasting view is that there should not
necessarily be any reasoning for religious beliefs [Audi 1991]. People look at this truth from different perspectives
through different faiths but the common phenomenon of all faiths is belief. No matter which God people believe in, the
way of forming expectations about what God will give as sought is the same. That is to say, religious people tend to
think that God will give what they expect as a right, although this is not the case (see e.g. [Scudder 1897]). God
certainly knows one’s future, which is unknown to mankind, and He plans for seekers of good, according to His will,
for the enduring good, and not based on what is sought from Him (see more: [Bible in One Year 2017]). God will give
what people seek at His will, but timing is unknown to the seekers (see e.g. Matthew 7:7 and many others). Hence,
people cannot form expectations based upon past actions or past experience. If this is interpreted with reference to
finance and economics, forming expectations based upon past records or a pattern does not make sense. Let these
believers be called rational believers (henceforth, the terms “rational believers” and “speculators” or “speculative
traders” are used interchangeably) who form no expectations about future economic outcome based upon past actions
taken towards achieving the expected outcome, but they believe that God will give what they seek according to His will
(see [Brams 1979]). People with this trait do not rely on the past actions and their records when making economic
decisions because the timing of future outcome is uncertain, hence they cannot form expectations with a probable
outcome. Rational believers as economic agents (in the course of engaging in economic activities) believe in the
present and have ‘time zero unbounded’ (uncertain timing and amounts) expectations about the inflows or outflows of
future activities embodying economic benefits (cost). When interpreted with reference to economics, these economic
agents make decisions on the basis of information available at that time and their expectations of inflows or outflows
of future economic benefits (cost) are zero. Those of contrary view are the irrational believers who simply believe
that God will give them what is sought and tend to form expectations on the basis of past actions (traced from past
records) taken towards achieving the expected outcome. These believers find a close association between the past and
future in economic decision-making, for example, making an investment in the hope of a defined profit, after a careful
analysis of the past records of performance. For instance, the classic work by Block and Kramer [2009] shows that
economic agents with superstitious beliefs tend to make irrational economic decisions, whereas those who do not,
adhere to a more rational choice paradigm. Why do people have unique preferences for some temples or churches?
<br />It is because they have superstitious beliefs about visiting or making a vow over other places, as past
experience suggests. The following figure shows the distribution of the atheist population of the world. </p>
<p><span><img src="04-Senarathne-web-resources/image/Senarathne-rys-1_fmt.png" alt="Senarathne-rys-1.tif" /></span></p>
<p>Fig. 1. World Non-Religious Population (Percentage)</p>
<p>Source: World non-religious population (percentage), Dentsu Institute [2006] and Zuckerman [2005].</p>
<p>In Figure 1, the score ranges from 0 – 100 where the darkest-colour regions are most irreligious. Considerable parts
of Canada, the United States, Europe and most parts of China, Australia and New Zealand are predominately atheist.
</p>
<p>Scholars comment that internal religious orientation helps reduce the psycholo-gical problems in medical treatments
(e.g. [Homayouni 2011]). Moltafet et al. [2010] investigate the relationship between personality traits and happiness
with religious orientation as a mediator and find that religious orientation mediates the relationship between
personality traits and happiness. Behavioural traits are strongly linked to religiosity. The recent work by Khoynezhad
et al. (2012) show that religious beliefs have an impact on personality traits such as neuroticism, extraversion,
openness, agreeableness and conscientiousness. The behavioural traits of managers influence different aspects of
business management (see e.g. [McDaniel and Burnett 1990; Jamal and Badawi 1993; Weaver and Agle 2002; Vitell and
Paolillo 2003; Grullon <br />et al. 2009; McGuire et al. 2011; Schneider et al. 2011]). It is therefore highly likely
that these traits will be reflected in every economic decision that people make <br />(e.g. stock trading). </p>
<p>The objective of this paper is to examine whether the religious population are irrational on average, taking stock
market efficiency/inefficiency as a proxy for rationality/irrationality. The paper is organized as follows. Section 2
discusses EMH and religiosity and formulates the hypothesis of the study. Section 3 reviews root causes of irrational
behaviour and documents the linkage between poverty and education and its implications for such behavior. Section 4
provides an extensive literature review on testing for EMH compared with Global Index of Religiosity. Section 5
provides the concluding remarks. </p>
<h2>2. Efficient Market Hypothesis (EMH) and religiosity </h2>
<p>EMH hypothesis is built upon logic and rationality. Malkiel [2003] quotes the famous joke to explain rationality with
respect to the concept of EMH, in the sense that, <br />“A well-known story tells of a finance professor and a student
who come across <br />a $100 bill lying on the ground. As the student stops to pick it up, the professor says, don’t
bother – if it were really a $100 bill, it wouldn’t be there”. Hence, EMH calls into question one’s inquiring mind
(i.e. rationality) with regard to stock market investment. The theory suggests that the stock prices fully reflect all
available information at any given point in time and, as such, no arbitrage opportunities are available in the market
for stock traders, therefore the present is the future for those who believe in EMH. No one could the see potential
benefits from either purchasing undervalued stocks or selling overvalued stocks. Since the seminal paper by Fama
[1965], a number of scholars have attempted to test the validity of EMH in different jurisdictions. The classic work
by Basu [1977] on the analysis of the P/E ratio as an indication of future investment performance of a security
(without relaxing any of those assumptions of EMH), shows a clear deviation from the efficient market hypothesis. On
the other hand, behaviourists in this sector of finance then began to argue to the contrary. They showed that
irrational human behaviour is not independent from equity price changes (see e.g. [Malkiel 1985; 1995; 2003; Shiller
2000]). Some symptoms of market irrationality have been reported by a number of scholars, for example, positive
feedback trading [De Long et al. 1990] and herding [Trueman 1994; Chang et al. 2000]. </p>
<p>Except for a handful of indirect scholarly work (e.g. [Wilson 1975; Shiller et al. 1984; Iannaccone 1997]), the
direct linkage between religiosity and EMH has not been documented in the literature. Without linking religiosity to
EMH, these scholars study other aspects of social dynamics and stock prices. The recent work by Blau [2017] found that
religiosity is negatively related to the volatility of stock prices and attempted to link the risk-taking behaviour to
religiosity, arguing that businesses in more religious countries are less likely to take risk in the course of their
operations and business decision-making. Blau [2018] examined the linkage between religiosity and liquidity in
financial markets, and found that religiosity directly influences the liquidity of securities and results in improved
liquidity. Alawadhi [2016] showed that non-Islamic institutional investors tend to hold more lottery-type stocks than
Islamic institutional investors and attribute such differences in traits to their religious norms. This implies that
the irreligious (those who do not adhere to any religious norms) investors tend to understand the randomness of stock
price changes. </p>
<h3>2.1. Theoretical specification </h3>
<p>Assume a world with insignificant differences among religions in terms of religious norms. On the assumption that
religiosity of an economic agent impacts his/her economic decisions (i.e. investment decisions), define δst, the
payoffs attributable <br />to a rational believer from trading in any equity of sth intraday trade carried out in
<br />the market so that, at the end of each trading day, a speculator satisfies with <span><img
src="04-Senarathne-web-resources/image/4697.png" alt="4697.png" /></span> amount of stochastic payoffs collected
at n amount of obser-vations (i.e. operations) in each day in the market for price increments (pit – pit–1) > 0
given information set I available at time t. The conditional price increments are stationary, stochastic and an
increasing function of operation t observed by n because this market is efficient (as explained under Section 1, the
trades carried out by rational believers results in stochastic payoffs). If a trader attempts to ascertain his/her
payoffs from trading in the market, the following model could be used in the sense of Black [1972]. This version of
return modeling is more robust and empirically testified for its efficient application by a number of scholars (see
e.g. [Banz 1981]).</p>
<p>	rit = β0 + βmrmt + εt,	(1)</p>
<p>where rmt is the return on market portfolio at time t and εt is payoffs attributable (stochastic noise) to a
speculative trader on stochastic information events observed at each operational time t in the market (note that
payoffs εt is under direct control of the individual firms) and β0 + βmrmt is the mean of return (this is the
arbitrage component of return in inefficient stock markets as functional form of efficiency suggests) conditional on
information set I available to investors at time t. </p>
<p>On the assumption of homoscedasticity of residuals, E(εt|rmt) = 0. Since the market is assumed to be efficient,
E(εt|nt) ≥ 0 where nt is the operation n at time t. <br />At each operation directed by observation n at time t, εt|nt
~ N(0,s2nt) in the sense of Clark [1973]; Lamoureux and Lastrapes [1990]. Rational believers are speculative traders
whose expectation from the market is zero because E(βmrmt/nt) = 0 in a market with rational believers. In the presence
of rational believers, no heteroscedasticity and serial correlation could be observed. That is to say, the equity
holders receive nothing from the market expectation as stock prices changes are assumed to be completely random and
determined only by the number of stochastic (i.e. firm-<br />-specific) information events observed at the market on
every corporate actions as price increments Pit – Pit–1 are subordinated to εt and an increasing function of t (see
[Bachelier 2011]). As such, the mean of the market model as in equation 1 is of no use for speculators because the
past patterns (as noted by [Mandelbrot 1963]) do not prevail in the future as expected. On the other hand, the model
as in equation (1) will have zero or very low r2 since this market is efficient (see [Tobin 1984; Roll 1988]). The
following payoff table is given. </p>
<p>Figure 2 illustrates the characteristics of the market and the corresponding payoffs attributable to two types of
players in the market. Heteroscedasticity and </p>
<p><span><img src="04-Senarathne-web-resources/image/4729.png" alt="4729.png" /></span></p>
<p>Fig. 2. The characteristics of stock market in the presence of rational and irrational believers</p>
<p>Source: author’s presentation.</p>
<p>serial correlation in stock returns cannot be observed in efficient stock markets. <br />In a market with rational
believers, heteroscedasticity and serial correlation cannot be efficiently observed as each trade is carried out on
firm-specific random information segments (events) and past records on price change patterns cannot be effectively
used to forecast future price changes. On average, a player receives stochastic payoffs collected from all trades of a
given day <span><img src="04-Senarathne-web-resources/image/4705.png" alt="4705.png" /></span> and mean β0 + βmrmt
conditional on firm-specific random information segments n at operational time t is zero as these players do not
receive anything from the market expectation. In the presence of irrational believers, arbitrage opportunities are
available in the market as large clusters of price changes reveal the pattern of stock price changes.
Heteroscedasticity and serial correlation in return are apparent when there are large clusters of price changes (see
[Mandelbrot 1963]). </p>
<p>2.2. Hypotheses of the study </p>
<p>Under the null hypothesis, the religious population should belong to irrational believers who make irrational
choices, and their economic decisions are based on personal beliefs rooted in common faith or beliefs and tend to form
expectations based upon past records. As such, the equity markets in countries with this population are inefficient on
average. If H0 is accepted, <a id="Zakotwiczenie-8" />the percentage of religiosity should be above 60% (this
benchmark is in line with WIN-Gallup International’s interpretations) and the atheist population should belong to the
minority of the countries with inefficient stock markets. </p>
<p>An alternative hypothesis is that the religious population is rational and makes rational choices, decisions and view
that the future is uncertain which is in the hands of God. If the religious population is rational, there should be no
difference between religious and atheist population in terms of economic decision-making because the vast majority of
scholars distinguish these two agents on the basis of “rationality” or “irrationality” in decision-making (see e.g.
[Davis 1949; Evans-Pritchard 1965; Ellis 1980; Freud 2008]). Hence the stock markets in countries with these economic
agents are efficient or converging towards efficiency. If H1 is accepted, the percentage of religiosity should be
below 60% and the atheist population should belong to the majority of the countries with efficient stock markets (or
markets converging towards efficiency). </p>
<h2>3. Root causes of irrational behaviour </h2>
<h3>3.1. Poverty and lower level of education</h3>
<p>Poverty and education are highly correlated. Low-income economies have lower levels of education and vice versa (see
[Rose, Dyer 2008; Hanushek et al. 2017]). Janjua and Kamal [2011] showed that education is the most significant
contributor <br />to poverty alleviation. The income level of a family determines the ability of the members to
receive education. The causality between poverty and education can <br />be precisely identified when an economy
suffers from a crisis (e.g. [Nambissan 2010]). Maddox [2010] argued that poverty acts as a constraint in receiving a
quality education. Disparities in income distribution also impact the differences in the quality of education,
therefore low-income economies must have higher level <br />of poverty than middle or high-income economies. The
following figure illustrates the relationship between education and poverty. Poverty has a greater impact <br />on
primary and secondary levels of schooling where the basics of living are <br />taught (see e.g. [Ferguson et al.
2007]). These instructions (taught in classroom) are essential for sorting out and dealing with matters of day-to-day
life in a more logical manner. </p>
<p><span><img src="04-Senarathne-web-resources/image/4738.png" alt="4738.png" /></span></p>
<p>Fig. 3. Education, literacy and poverty vary across countries </p>
<p>Source: World Bank Development Indicators (2015). </p>
<p>The above figure shows that the primary education completion rate is low in low-income countries whereas middle and
high-income countries share almost the same but very high rate of completion. Somewhat similar facts can be observed
for lower secondary education completion. Comparatively, a significant disparity is observed between low-income
countries and high and middle-income countries (30% to 90%). High-income countries dominate, with the highest literacy
rate in the age bracket <br />of 15+. The percentage applicable to low-income economies is at 65% which is the level
somewhat similar to the primary education completion rate. Literacy rates of youth are higher for high-income
countries and low and middle-income countries which have an acceptable level of literacy. However, a poverty headcount
ratio at $1.25 and $2 a day is substantially high for low-income economies. </p>
<p>On the other hand, there is a negative relationship between the level of education and measures of religiosity
[Albrecht and Heaton 1984]. However, McFarland et al. [2010] argued that the relationship between education and
religiosity varies according to religious traditions. A recent work by Schieman [2011] stated that individuals with
higher income are less likely to identify religion as important <br />in decision-making. Using data from two national
surveys of American adults, <br />he also observed that educated people are less likely to attribute their
religiousness to decision-making. The following figure compares the importance of religion in day-to-day life. </p>
<p>According to the figure, high school graduates say religion is very important <br />in their day-to-day life, but
fewer than half of college graduates (46%) say this. <br />A somewhat similar ratio is observed for the categories who
say that they believe in God or pray daily. More importantly, 11% of college graduates identify themselves as
atheists, whereas about 4% of high school level adults say that they are atheists. </p>
<p><span><img src="04-Senarathne-web-resources/image/4751.png" alt="4751.png" /></span></p>
<p>Fig. 4. Education and religiosity</p>
<p>Source: 2014 U.S religious landscape study. </p>
<p>These findings offer a wide range of arguments. A lower level of family income restricts access to education, which
ultimately results in a lack of rationality in day--to-day decision-making. Poorly educated people are likely to be
more sensitive to religious beliefs and their decision-making is often biased towards their beliefs <br />(see
[Schieman 2011]). </p>
<h2>4. Testing for Efficient Market Hypothesis and atheism </h2>
<p>A large body of literature involves testing for stock market efficiency at country levels. The famous publication by
Worthington and Higgs [2004] tested the European equity markets, namely Austria, Belgium, Denmark, Finland, France,
Germany, Greece, Ireland, Italy, the Netherlands, Norway, Portugal, Spain, Sweden, Switzerland and the United Kingdom,
and four emerging markets such as the Czech Republic, Hungary, Poland and Russia for efficiency. The findings suggest
that more developed markets such as Germany, Ireland, Portugal, Sweden and the United Kingdom and only Hungary, as an
emerging market, follow a random walk. </p>
<p>Groenewold [1997] found that the Statex Actuaries Index and the NZSE-40 Index follow a random walk and the evidence
is consistent with weak-form efficiency. Shaker [2013] examined the random walk behaviour of Finnish and Swedish stock
markets using the variance ratio test procedures in [Lo, MacKinlay 1988] and found no evidence for the presence of
random walk in stock price changes. Borges [2010] examined France, Germany, the UK, Greece, Portugal and Spain’s daily
and monthly equity index changes for random walk behaviour and found that monthly returns of all the six countries are
consistent with weak form efficiency. The randomness of daily index changes is rejected for Greece and Portugal.</p>
<p>The following table carries an extensive review of literature on testing for EMH, with reference to the findings of
the Global Index of Religiosity and Atheism. </p>
<p>Table 1. Major Studies on Testing for EMH and Global Index of Religiosity and Atheism 2005</p>
<table id="table-1" class="table table-bordered">
<colgroup>
<col />
<col />
<col />
<col />
<col />
<col />
<col />
<col />
<col />
</colgroup>
<tbody>
<tr>
<td>
<p>Countries</p>
</td>
<td>
<p>Names of Authors</p>
</td>
<td>
<p>Overall <br />coverage</p>
</td>
<td>
<p>Data Horizon</p>
</td>
<td>
<p>Conclusion</p>
</td>
<td>
<p>A religious person</p>
</td>
<td>
<p>Not a religious person</p>
</td>
<td>
<p>A convinced atheist</p>
</td>
<td>
<p>Don’t know/no</p>
</td>
</tr>
<tr>
<td>
<p>1</p>
</td>
<td>
<p>2</p>
</td>
<td>
<p>3</p>
</td>
<td>
<p>4</p>
</td>
<td>
<p>5</p>
</td>
<td>
<p>6</p>
</td>
<td>
<p>7</p>
</td>
<td>
<p>8</p>
</td>
<td>
<p>9</p>
</td>
</tr>
<tr>
<td>
<p>Argentina</p>
</td>
<td>
<p>Ojah and Karemera (1999), Worthington and Higgs (2003)</p>
</td>
<td>
<p>1987-2003</p>
</td>
<td>
<p>Monthly, daily</p>
</td>
<td>
<p>Weak form efficient, does not follow a random walk</p>
</td>
<td>
<p>72%</p>
</td>
<td>
<p>19%</p>
</td>
<td>
<p>7%</p>
</td>
<td>
<p>1%</p>
</td>
</tr>
<tr>
<td>
<p>Australia</p>
</td>
<td>
<p>Lee, U. (1992), Worthington and Higgs (2009)</p>
</td>
<td>
<p>1967-2006</p>
</td>
<td>
<p>Weekly, monthly</p>
</td>
<td>
<p>Follows the random walk, monthly returns follow a homoscedastic random walk</p>
</td>
<td>
<p>37%</p>
</td>
<td>
<p>48%</p>
</td>
<td>
<p>10%</p>
</td>
<td>
<p>5%</p>
</td>
</tr>
<tr>
<td>
<p>Austria</p>
</td>
<td>
<p>Worthington and Higgs (2004)</p>
</td>
<td>
<p>1988 to 2003</p>
</td>
<td>
<p>Daily</p>
</td>
<td>
<p>Does not follow random walk</p>
</td>
<td>
<p>42%</p>
</td>
<td>
<p>43%</p>
</td>
<td>
<p>10%</p>
</td>
<td>
<p>5%</p>
</td>
</tr>
<tr>
<td>
<p>Belgium</p>
</td>
<td>
<p>Lee (1992), Worthington and Higgs (2004)</p>
</td>
<td>
<p>1967-2003</p>
</td>
<td>
<p>Weekly, daily</p>
</td>
<td>
<p>Follows a random walk, does not follow a random walk</p>
</td>
<td>
<p>59%</p>
</td>
<td>
<p>26%</p>
</td>
<td>
<p>8%</p>
</td>
<td>
<p>7%</p>
</td>
</tr>
<tr>
<td>
<p>Brazil</p>
</td>
<td>
<p>Ojah and Karemera (1999), Worthington and Higgs (2003), Mobarek and Fiorante (2014)</p>
</td>
<td>
<p>1987 to 2010</p>
</td>
<td>
<p>Monthly, daily, daily</p>
</td>
<td>
<p>Weak form efficient, does not follow<br />a random walk, fairly efficient</p>
</td>
<td>
<p>85%</p>
</td>
<td>
<p>13%</p>
</td>
<td>
<p>1%</p>
</td>
<td>
<p>1%</p>
</td>
</tr>
<tr>
<td>
<p>Bulgaria</p>
</td>
<td>
<p>Angelov (2009)</p>
</td>
<td>
<p>2000 to 2006</p>
</td>
<td>
<p>Daily</p>
</td>
<td>
<p>No convergence towards weak-form efficiency</p>
</td>
<td>
<p>59%</p>
</td>
<td>
<p>28%</p>
</td>
<td>
<p>2%</p>
</td>
<td>
<p>12%</p>
</td>
</tr>
<tr>
<td>
<p>Canada</p>
</td>
<td>
<p>Lee, U. (1992), Alexeev and Tapon (2011)</p>
</td>
<td>
<p>1967-2008</p>
</td>
<td>
<p>Weekly, daily</p>
</td>
<td>
<p>Follows the random walk, accept weak form efficiency</p>
</td>
<td>
<p>46%</p>
</td>
<td>
<p>40%</p>
</td>
<td>
<p>9%</p>
</td>
<td>
<p>5%</p>
</td>
</tr>
<tr>
<td>
<p>China</p>
</td>
<td>
<p>Li (2001), Mobarek and Fiorante (2014)</p>
</td>
<td>
<p>1991 to 2010</p>
</td>
<td>
<p>Daily, daily</p>
</td>
<td>
<p>Converging towards efficiency, fairly efficient</p>
</td>
<td>
<p>14%</p>
</td>
<td>
<p>30%</p>
</td>
<td>
<p>47%</p>
</td>
<td>
<p>9%</p>
</td>
</tr>
<tr>
<td>
<p>Colombia</p>
</td>
<td>
<p>Worthington and Higgs (2003), Duarte-Duarte et al. (2014)</p>
</td>
<td>
<p>1992 to 2010</p>
</td>
<td>
<p>Daily, daily</p>
</td>
<td>
<p>Does not follow a random walk, <br />no evidence of randomness in stock price changes</p>
</td>
<td>
<p>83%</p>
</td>
<td>
<p>12%</p>
</td>
<td>
<p>3%</p>
</td>
<td>
<p>2%</p>
</td>
</tr>
<tr>
<td>
<p>Czech Republic</p>
</td>
<td>
<p>Worthington and Higgs (2004), Pošta (2008),</p>
</td>
<td>
<p>1988 to 2006</p>
</td>
<td>
<p>Daily, daily</p>
</td>
<td>
<p>Does not follow a random walk, converging towards efficiency,</p>
</td>
<td>
<p>20%</p>
</td>
<td>
<p>48%</p>
</td>
<td>
<p>30%</p>
</td>
<td>
<p>2%</p>
</td>
</tr>
<tr>
<td>
<p>Finland</p>
</td>
<td>
<p>Worthington and Higgs (2004)</p>
</td>
<td>
<p>1988 to 2003</p>
</td>
<td>
<p>Daily</p>
</td>
<td>
<p>Meeting some of the requirements <br />of a strict random walk</p>
</td>
<td>
<p>53%</p>
</td>
<td>
<p>38%</p>
</td>
<td>
<p>6%</p>
</td>
<td>
<p>3%</p>
</td>
</tr>
<tr>
<td>
<p>France</p>
</td>
<td>
<p>Worthington and Higgs (2004), Lee (1992), Borges (2010)</p>
</td>
<td>
<p>1967 to 2007</p>
</td>
<td>
<p>Daily, weekly, daily and monthly</p>
</td>
<td>
<p>Meeting some of the requirements <br />of a strict random walk, follows <br />a random walk, follows a random
walk</p>
</td>
<td>
<p>37%</p>
</td>
<td>
<p>34%</p>
</td>
<td>
<p>29%</p>
</td>
<td>
<p>1%</p>
</td>
</tr>
<tr>
<td>
<p>Germany</p>
</td>
<td>
<p>Worthington and Higgs (2004), Borges (2010)</p>
</td>
<td>
<p>1988 to 2007</p>
</td>
<td>
<p>Daily, monthly and daily</p>
</td>
<td>
<p>Follows a strict random walk, meets the criteria for a random walk</p>
</td>
<td>
<p>51%</p>
</td>
<td>
<p>33%</p>
</td>
<td>
<p>15%</p>
</td>
<td>
<p>1%</p>
</td>
</tr>
<tr>
<td>
<p>Ghana</p>
</td>
<td>
<p>Mlambo and Biekpe (2007), Magnus (2008), Ayentimi et al (2013)</p>
</td>
<td>
<p>1998 to 2012</p>
</td>
<td>
<p>Daily, daily, weekly</p>
</td>
<td>
<p>Inefficient, rejects weak form efficient hypothesis, inefficient</p>
</td>
<td>
<p>96%</p>
</td>
<td>
<p>2%</p>
</td>
<td>
<p>0%</p>
</td>
<td>
<p>1%</p>
</td>
</tr>
<tr>
<td>
<p>Hong Kong</p>
</td>
<td>
<p>Cheung and Coutts (2001), Hamid et al. (2010)</p>
</td>
<td>
<p>1985 to 2009</p>
</td>
<td>
<p>Daily, daily</p>
</td>
<td>
<p>Follows a random walk, does not follow a random walk</p>
</td>
<td>
<p>38%</p>
</td>
<td>
<p>51%</p>
</td>
<td>
<p>9%</p>
</td>
<td>
<p>2%</p>
</td>
</tr>
<tr>
<td>
<p>India</p>
</td>
<td>
<p>Khan et al (2011), Rehman et al (2012), Mobarek and Fiorante (2014)</p>
</td>
<td>
<p>1987 to 2011</p>
</td>
<td>
<p>Daily, daily</p>
</td>
<td>
<p>Inefficient, fairly efficient, not weak form efficient (inefficient)</p>
</td>
<td>
<p>81%</p>
</td>
<td>
<p>13%</p>
</td>
<td>
<p>3%</p>
</td>
<td>
<p>3%</p>
</td>
</tr>
<tr>
<td>
<p>Ireland</p>
</td>
<td>
<p>Worthington and Higgs (2004)</p>
</td>
<td>
<p>1988 to 2003</p>
</td>
<td>
<p>Daily</p>
</td>
<td>
<p>Follows a strict random walk</p>
</td>
<td>
<p>47%</p>
</td>
<td>
<p>44%</p>
</td>
<td>
<p>10%</p>
</td>
<td>
<p>0%</p>
</td>
</tr>
<tr>
<td>
<p>Italy</p>
</td>
<td>
<p>Worthington and Higgs (2004)</p>
</td>
<td>
<p>1988 to 2003</p>
</td>
<td>
<p>Daily</p>
</td>
<td>
<p>Does not follow a random walk</p>
</td>
<td>
<p>73%</p>
</td>
<td>
<p>15%</p>
</td>
<td>
<p>8%</p>
</td>
<td>
<p>4%</p>
</td>
</tr>
<tr>
<td>
<p>Japan</p>
</td>
<td>
<p>Lee (1992), Hamid et al. (2010)</p>
</td>
<td>
<p>1967-2009</p>
</td>
<td>
<p>weekly, daily</p>
</td>
<td>
<p>Follows the random walk, does not follow a random walk</p>
</td>
<td>
<p>16%</p>
</td>
<td>
<p>31%</p>
</td>
<td>
<p>31%</p>
</td>
<td>
<p>23%</p>
</td>
</tr>
<tr>
<td>
<p>Kenya</p>
</td>
<td>
<p>Jefferis and Smith (2005)</p>
</td>
<td>
<p>1990 to 2001</p>
</td>
<td>
<p>weekly</p>
</td>
<td>
<p>No tendency towards weak form efficiency</p>
</td>
<td>
<p>88%</p>
</td>
<td>
<p>9%</p>
</td>
<td>
<p>2%</p>
</td>
<td>
<p>1%</p>
</td>
</tr>
<tr>
<td>
<p>Korea, Rep (South)</p>
</td>
<td>
<p>Ryoo and Smith (2002), Narayan and Smyth (2004)</p>
</td>
<td>
<p>1981 to 2003</p>
</td>
<td>
<p>Daily, monthly</p>
</td>
<td>
<p>Stock market as a whole approach a random walk as price limits are relaxed, weak form efficient</p>
</td>
<td>
<p>52%</p>
</td>
<td>
<p>31%</p>
</td>
<td>
<p>15%</p>
</td>
<td>
<p>2%</p>
</td>
</tr>
<tr>
<td>
<p>Lebanon</p>
</td>
<td>
<p>Lagoarde-Segot and Lucey (2005)</p>
</td>
<td>
<p>1998 to 2005</p>
</td>
<td>
<p>Daily</p>
</td>
<td>
<p>Does not follow a random walk</p>
</td>
<td>
<p>64%</p>
</td>
<td>
<p>33%</p>
</td>
<td>
<p>2%</p>
</td>
<td>
<p>2%</p>
</td>
</tr>
<tr>
<td>
<p>Lithuania</p>
</td>
<td>
<p>Milieska (2004)</p>
</td>
<td>
<p>2001 to 2004</p>
</td>
<td>
<p>Daily</p>
</td>
<td>
<p>Does not comply with the weak-form efficient market concept</p>
</td>
<td>
<p>69%</p>
</td>
<td>
<p>22%</p>
</td>
<td>
<p>1%</p>
</td>
<td>
<p>7%</p>
</td>
</tr>
<tr>
<td>
<p>Malaysia</p>
</td>
<td>
<p>Balkiz (2003), Hamid et al. (2010)</p>
</td>
<td>
<p>1977 to 2009</p>
</td>
<td>
<p>Daily, monthly</p>
</td>
<td>
<p>Informationally inefficient at weak form level, does not follow a random walk</p>
</td>
<td>
<p>81%</p>
</td>
<td>
<p>13%</p>
</td>
<td>
<p>0%</p>
</td>
<td>
<p>6%</p>
</td>
</tr>
<tr>
<td>
<p>Moldova</p>
</td>
<td>
<p></p>
</td>
<td>
<p></p>
</td>
<td>
<p></p>
</td>
<td>
<p></p>
</td>
<td>
<p>83%</p>
</td>
<td>
<p>5%</p>
</td>
<td>
<p>5%</p>
</td>
<td>
<p>7%</p>
</td>
</tr>
<tr>
<td>
<p>Netherlands</p>
</td>
<td>
<p>Worthington and Higgs (2004)</p>
</td>
<td>
<p>1988 to 2003</p>
</td>
<td>
<p>Daily</p>
</td>
<td>
<p>Meeting some of the requirements of a strict random walk</p>
</td>
<td>
<p>43%</p>
</td>
<td>
<p>42%</p>
</td>
<td>
<p>14%</p>
</td>
<td>
<p>2%</p>
</td>
</tr>
<tr>
<td>
<p>Nigeria</p>
</td>
<td>
<p>Jefferis and Smith (2005), Arewa and Nwakanmaa (2014), Afego (2012)</p>
</td>
<td>
<p>1985 to 2012</p>
</td>
<td>
<p>Weekly, monthly, monthly</p>
</td>
<td>
<p>Weak form efficient only from early <br />2001 (negligible), rejects RWH<br />based on runs, unit root,
Kolmogorov-Smirnov tests, contradicts with weak form efficiency</p>
</td>
<td>
<p>93%</p>
</td>
<td>
<p>4%</p>
</td>
<td>
<p>1%</p>
</td>
<td>
<p>2%</p>
</td>
</tr>
<tr>
<td>
<p>Pakistan</p>
</td>
<td>
<p>Rehman et al. (2012), Chishti et al. (2016), Sohail et al. (2014)</p>
</td>
<td>
<p>2000 to 2016</p>
</td>
<td>
<p>Daily, monthly and weekly</p>
</td>
<td>
<p>Not weak form efficient (inefficient), does not follow a random walk, not weak form efficient</p>
</td>
<td>
<p>84%</p>
</td>
<td>
<p>8%</p>
</td>
<td>
<p>2%</p>
</td>
<td>
<p>6%</p>
</td>
</tr>
<tr>
<td>
<p>Palestinian territories</p>
</td>
<td>
<p>Awad and Daraghma (2009), Abushammala (2011)</p>
</td>
<td>
<p>1998 to 2010</p>
</td>
<td>
<p>Daily, daily</p>
</td>
<td>
<p>Found to be inefficient, inefficient at weak form level.</p>
</td>
<td>
<p>65%</p>
</td>
<td>
<p>29%</p>
</td>
<td>
<p>4%</p>
</td>
<td>
<p>2%</p>
</td>
</tr>
<tr>
<td>
<p>Peru</p>
</td>
<td>
<p>Worthington and Higgs (2003)</p>
</td>
<td>
<p>1992 to 2003</p>
</td>
<td>
<p>Daily</p>
</td>
<td>
<p>Does not follow a random walk</p>
</td>
<td>
<p>86%</p>
</td>
<td>
<p>8%</p>
</td>
<td>
<p>3%</p>
</td>
<td>
<p>3%</p>
</td>
</tr>
<tr>
<td>
<p>1</p>
</td>
<td>
<p>2</p>
</td>
<td>
<p>3</p>
</td>
<td>
<p>4</p>
</td>
<td>
<p>5</p>
</td>
<td>
<p>6</p>
</td>
<td>
<p>7</p>
</td>
<td>
<p>8</p>
</td>
<td>
<p>9</p>
</td>
</tr>
<tr>
<td>
<p>Poland</p>
</td>
<td>
<p>Gilmore and McManus (2003), Worthington and Higgs (2004)</p>
</td>
<td>
<p>1988 to 2003</p>
</td>
<td>
<p>Weekly, daily</p>
</td>
<td>
<p>Rejects the random walk hypothesis, does not follow a random walk</p>
</td>
<td>
<p>81%</p>
</td>
<td>
<p>9%</p>
</td>
<td>
<p>5%</p>
</td>
<td>
<p>6%</p>
</td>
</tr>
<tr>
<td>
<p>Romania</p>
</td>
<td>
<p>Dima and Milos (2009), Moldovan (2010)</p>
</td>
<td>
<p>2000 to 2010</p>
</td>
<td>
<p>Daily, daily</p>
</td>
<td>
<p>Accepts weak form efficient con-<br />ditions, rejects weak form efficiency</p>
</td>
<td>
<p>89%</p>
</td>
<td>
<p>6%</p>
</td>
<td>
<p>1%</p>
</td>
<td>
<p>3%</p>
</td>
</tr>
<tr>
<td>
<p>Russian Federation</p>
</td>
<td>
<p>Hall and Urga (2002), Abrosimova et al (2002), Worthington and Higgs (2004), Mobarek and Fiorante (2014)</p>
</td>
<td>
<p>1988 to 2010</p>
</td>
<td>
<p>Daily, monthly, daily, daily</p>
</td>
<td>
<p>Converging towards efficiency, does not follow a random walk, follows a random walk, fairly efficient</p>
</td>
<td>
<p>55%</p>
</td>
<td>
<p>26%</p>
</td>
<td>
<p>6%</p>
</td>
<td>
<p>13%</p>
</td>
</tr>
<tr>
<td>
<p>Saudi Arabia</p>
</td>
<td>
<p>Abdullah (2010), Al Ashikh (2012)</p>
</td>
<td>
<p>1994 to 2009</p>
</td>
<td>
<p>Daily, varying periods</p>
</td>
<td>
<p>Departs from weak-form efficiency, inefficient in the weak form</p>
</td>
<td>
<p>75%</p>
</td>
<td>
<p>19%</p>
</td>
<td>
<p>5%</p>
</td>
<td>
<p>1%</p>
</td>
</tr>
<tr>
<td>
<p>Serbia</p>
</td>
<td>
<p>Kršikapa-Rašajski and Rankov (2016)</p>
</td>
<td>
<p>2005 to 2014</p>
</td>
<td>
<p>Daily</p>
</td>
<td>
<p>Weak-form market efficiency conditions are not fully met.</p>
</td>
<td>
<p>77%</p>
</td>
<td>
<p>16%</p>
</td>
<td>
<p>3%</p>
</td>
<td>
<p>4%</p>
</td>
</tr>
<tr>
<td>
<p>South Africa</p>
</td>
<td>
<p>Jefferis and Smith (2005)</p>
</td>
<td>
<p>1990 to 2001</p>
</td>
<td>
<p>weekly</p>
</td>
<td>
<p>Weak form efficient</p>
</td>
<td>
<p>64%</p>
</td>
<td>
<p>28%</p>
</td>
<td>
<p>4%</p>
</td>
<td>
<p>5%</p>
</td>
</tr>
<tr>
<td>
<p>Spain</p>
</td>
<td>
<p>Worthington and Higgs (2004), Borges (2010)</p>
</td>
<td>
<p>1988 to 2007</p>
</td>
<td>
<p>Daily, monthly and daily</p>
</td>
<td>
<p>Meeting some of the requirements of a strict random walk, meets the criteria for a random walk</p>
</td>
<td>
<p>52%</p>
</td>
<td>
<p>38%</p>
</td>
<td>
<p>9%</p>
</td>
<td>
<p>1%</p>
</td>
</tr>
<tr>
<td>
<p>Sweden</p>
</td>
<td>
<p>Worthington and Higgs (2004)</p>
</td>
<td>
<p>1988 to 2003</p>
</td>
<td>
<p>Daily</p>
</td>
<td>
<p>Follows a strict random walk</p>
</td>
<td>
<p>29%</p>
</td>
<td>
<p>50%</p>
</td>
<td>
<p>8%</p>
</td>
<td>
<p>12%</p>
</td>
</tr>
<tr>
<td>
<p>Switzerland</p>
</td>
<td>
<p>Worthington and Higgs (2004)</p>
</td>
<td>
<p>1988 to 2003</p>
</td>
<td>
<p>Daily</p>
</td>
<td>
<p>Does not follow a random walk</p>
</td>
<td>
<p>50%</p>
</td>
<td>
<p>38%</p>
</td>
<td>
<p>9%</p>
</td>
<td>
<p>4%</p>
</td>
</tr>
<tr>
<td>
<p>Tunisia</p>
</td>
<td>
<p>Lagoarde-Segot and Lucey (2005), Abdullah (2010)</p>
</td>
<td>
<p>1998 to 2009</p>
</td>
<td>
<p>Daily</p>
</td>
<td>
<p>Does not follow a random walk, departs from random walk</p>
</td>
<td>
<p>75%</p>
</td>
<td>
<p>22%</p>
</td>
<td>
<p>0%</p>
</td>
<td>
<p>2%</p>
</td>
</tr>
<tr>
<td>
<p>Turkey</p>
</td>
<td>
<p>Lagoarde-Segot and Lucey (2005), Buguk and Brorsen (2003), Smith (2012)</p>
</td>
<td>
<p>1992 to 2012</p>
</td>
<td>
<p>Daily, daily, daily</p>
</td>
<td>
<p>Does not follow a random walk, weak form efficient, most efficient</p>
</td>
<td>
<p>23%</p>
</td>
<td>
<p>73%</p>
</td>
<td>
<p>2%</p>
</td>
<td>
<p>2%</p>
</td>
</tr>
<tr>
<td>
<p>Ukraine</p>
</td>
<td>
<p>Maxym (2000), Mynhardt and Plastun (2013), Smith (2012)</p>
</td>
<td>
<p>1997 to 2012</p>
</td>
<td>
<p>Weekly, daily, daily</p>
</td>
<td>
<p>Violates weakest form of the EMH, less efficient, least efficient</p>
</td>
<td>
<p>71%</p>
</td>
<td>
<p>20%</p>
</td>
<td>
<p>3%</p>
</td>
<td>
<p>6%</p>
</td>
</tr>
<tr>
<td>
<p>United States</p>
</td>
<td>
<p>Seiler and Rom (1997), Milionis and Papanagiotou (2011)</p>
</td>
<td>
<p>1885 to 2005</p>
</td>
<td>
<p>Daily, daily</p>
</td>
<td>
<p>Confirms weak form efficient market</p>
</td>
<td>
<p>60%</p>
</td>
<td>
<p>30%</p>
</td>
<td>
<p>5%</p>
</td>
<td>
<p>5%</p>
</td>
</tr>
<tr>
<td>
<p>Vietnam</p>
</td>
<td>
<p>Phan and Zhou (2014)</p>
</td>
<td>
<p>2009 to 2013</p>
</td>
<td>
<p>Daily</p>
</td>
<td>
<p>Follows a random walk</p>
</td>
<td>
<p>30%</p>
</td>
<td>
<p>65%</p>
</td>
<td>
<p>0%</p>
</td>
<td>
<p>5%</p>
</td>
</tr>
</tbody>
</table>
<ol>
<li>Vietnam – except for the first two cycles and the whole period tests. However, Dong Loc et al. [2010] found that
Vietnamese Stock Market is not efficient in the weak form using daily data for the period 2000 to 2005.</li>
<li>China-see special cases and discussion on A share and B share markets.</li>
<li>Studies covering sample data around 2005 were given priority in order to be more realistic. For some countries,
only a few or no well-received studies could be found.</li>
</ol>
<p>Source: Global Index of Religiosity and Atheism 2005 and compilation of author’s literature survey. </p>
<p>As per the summary of findings of the WIN-Gallup International, 59% of the world’s population could be placed under
the category of religious person, whereas 23% of the population identify themselves as not religious, whilst 13% of
the population are convinced atheists. When conditions of equity markets are identified against these findings, it
uncovers interesting facts about the determinants of EMH. Following observation, it seems that almost all religious
countries (as measured by the percentage score of more than 60%) have inefficient or, if not, less efficient equity
markets. The literature survey gives priority to major studies carried out during (or near) the period of <a
id="Zakotwiczenie-21" />the global poll, so that it justifies a more realistic comparison and evaluation. On the
other hand, the Chinese A-share and B-share markets offer an avenue for researchers to test the impact of religiosity
on stock market efficiency. B-shares are traded in foreign currencies on the Shanghai and Shenzhen stock exchanges.
Trading in these shares was limited only to foreigners until 19 February 2001. Conversely, A-shares are nominated in
Renminbi and are allowed to be traded only by local investors until the 2003 reform. Religiosity of China is 14%,
which can be attributed mainly to the local population. As such, testing EMH on A-share covering a sufficient sample
period (but prior to February 2001) would provide prima facie evidence confirming the null hypothesis of this study.
If the null hypothesis is supported by these observations, A-share market price changes or index changes should be
random or converging towards efficiency, but B share market prices changes should not be consistent with the
conditions of weak form efficiency or efficient markets. Lima and Tabak [2004] tested the A-share and B share markets
for efficiency (1992 to 2000) using daily returns and found that only A-shares are efficient. Similar findings were
reported by Fifield and Jetty [2008] for the period 1996 to 2005. Charles and Darné [2009] also found that daily price
changes (1992 to 2007) of A-shares are efficient and B-class of shares does not follow the random walk hypothesis.
These findings provide empirical support for the acceptance of the null hypothesis of this study. </p>
<h2>5. Conclusion </h2>
<p>The positive relationship between family income and education has been widely documented in recent literature [e.g.
Blanden and Gregg 2004], and that educated people tend to be more rational in the course of economic decision-making
[Moshman 1990]. As the literature survey points out, less educated adults tend to be more religious and bias economic
decision-making towards their beliefs [Schieman 2011]. Conversely, more educated people often have an inquiring mind
and tend to find answers with a logical reasoning, based on their knowledge and experience [see Chapell and Overton
2002]. Crudden and Barnes [2016] suggested that procedural and theoretical understanding through individuals’ thought
process play an important role in reasoning independent of their beliefs. This literature teaches one important
principle about rationality and its ultimate outcome for being efficient in any form of economic activity. If an
individual understands the logic of religion and the role of God, it is clear that the act of God is unknown, and
forming expectations about the future outcome of the economic decisions made at present, in conjunction with beliefs,
does not make sense. </p>
<p>As hypothesized, religious people are ‘irrational believers’ on average, and their economic actions are directed
towards achieving future outcome are based on their expectations about the future. These believers, as economic
agents, rely largely on past experiences, patterns and records, in forming the expectations about the future as their
common behavioural trait. This is evidenced by the findings of the review and comparison made in Table 1. Almost all
equity markets of countries dominated by religiosity are inefficient, or at least inefficient at weak form level. The
form of stock market efficiency acts as a proxy variable for testing the null hypothesis of this study. The study
reveals that religious believers, irrespective of differences in their religious beliefs or norms, are irrational as
the null hypothesis of this study, is clearly accepted. The root causes of the inefficiency cannot be ignored. Poverty
(level of family income) and level of education impact the religiosity. Low income level and poor education are the
main courses of developing irrationality. One class of this mass irrational population is religious believers (i.e.
irrational religious believers), whose behaviour may cause economy-wide consequences. The allocation of resources of
an economy and its management may not be at the optimal level in the presence of these anomalies or externalities. As
such, the policymakers should design and implement more robust policies and guidelines for poverty alleviation and the
enrichment of education at country level. </p>
<p>Acknowledgment</p>
<p>I would like to thank the Editor-in-Chief, Professor Jacek Uchman andthe Managing Editor, Professor Ilona
Fałat-Kilijańska. I would also like to thank the members of the editorial team for their friendly editorial
assistance. This paper has been benefited from the constructive comments and suggestions of two anonymous reviewers.
All remaining errors are my responsibility. </p>
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<p>Wilson E. (1975): Sociobiology: The new synthesis. Cambridge, MA: Belknap Press of Harvard University Press.</p>
<p>Worthington A.C., Higgs H. (2003), Tests of random walks and market efficiency in Latin American stock markets: An
empirical note, Discussion Paper, available at <a
href="http://eprints.qut.edu.au/328/">http://eprints.qut.edu.au/328/</a>. </p>
<p>Worthington A.C., Higgs H. (2004), Random walks and market efficiency in European equity markets, Global Journal
of Finance and Economics, vol. 1, no.1, pp. 59-78.</p>
<p>Worthington A.C., Higgs H. (2009), Efficiency in the Australian stock market, 1875–2006: a note on extreme long-run
random walk behaviour, Applied Economics Letters, Vol. 16, no. 3, pp. 301-306.</p>
<p>Cz<a id="Zakotwiczenie-49" />y ludzie religijni są irracjonalni: bezpośredni test z efektywnej hipotezy rynkowej</p>
<p>Streszczenie: Współczesna literatura nie oferuje ilościowego testu irracjonalnego zachowania ludzi, zwłaszcza biorąc
pod uwagę nieracjonalność w odniesieniu do działalności gospodarczej. Artykuł analizuje rolę ludzi wierzących w
prowadzeniu działalności gospodarczej. Forma efektywności rynku akcji została przyjęta jako przybliżenie do
przetestowania zerowej hipotezy mówiącej, że wierzący są przeciętnie irracjonalni. Rezultaty badań sugerują, że rynki
akcji w krajach religijnych są nieefektywne na poziomie „słabej formy”. Dostarcza to dowodów prima facie na hipotezę,
że wierzący są przeciętnie irracjonalni. W związku z tym zmiany cen akcji na tych rynkach papierów wartościowych można
prognozować na podstawie wcześniejszych wzorców. Niski poziom dochodów i słabe wykształcenie są głównymi przyczynami
rozwoju irracjonalności. Ponieważ irracjonalność skutkuje kosztami dla gospodarki, decydenci powinni opracować i
wdrożyć bardziej solidne polityki i wytyczne dotyczące zmniejszania ubóstwa i wzbogacania edukacji na poziomie kraju.
</p>
<p>Słowa kluczowe: religia, wierzący, skuteczna hipoteza rynkowa (EMH), ateiści, irracjonalność, edukacja.</p>