EFTA00617310.pdf
dataset_9 pdf 5.4 MB • Feb 3, 2026 • 69 pages
An Empirical Assessment of Islamic Equity Fund Returns
Author: Raphie Hayat
Student number: 1253913
Supervisor: Dr. Roman Kraussl
Date: October 2006
University: Free University, Amsterdam
Motivation: Master thesis
Abstract:
Islamic Equity Funds (IEFs) differ fundamentally from conventional equity funds since
Muslims are limited in their ability to invest in certain companies and are prohibited to pay or
receive interest. The amount of academic research has lagged behind the popularity of these
new and interesting funds. This paper aims to fill this gap somewhat by applying common
statistical procedures as well as other mainly used performance measures to asses the
performance of IEFs for the past five years. The results indicate that IEFs are relatively safe
investment vehicles that do not significantly under or outperform their Islamic as well as
conventional benchmarks under normal market conditions. During the bear market of 2002
IEFs did however significantly outperform the Islamic and conventional market. Furthermore
IEFs seem most attractive as part of a larger fully diversified portfolio like a fund of funds,
since they have good systematic risk-to-return ratios. There also seems to be a difference
between the abilities of IEF managers, with the managers of Malaysian IEFs having
relatively better market timing abilities and the managers of globally invested IEFs having
better stock picking abilities. Interestingly, Malaysian IEFs seem to contain a discount on
their returns based on their low downside risk. The results furthermore indicate the validity of
the CAPM and point in the direction of efficient markets.
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Table of Contents
1. Introduction 4
II. Islamic Investing 6
11.1 The Prohibition of Interest 6
II/ Gharar and Maysir 7
II.3 Equity Investment Criteria 7
II.4 The IEF Industry 8
II.4 A History 8
II.4 B Market 9
11.4 C Specific Risks 10
II.5 Literature Review 11
11.5 A Discussion 14
III. Empirical Analysis 16
III. 1 Performance Measures 16
III.1 A The Average Return 16
III.1 B Jensen's Alpha (alpha) 16
III.1 C The Sharp Ratio (SR) 18
III.1 D The Treynor Ratio (TR) 19
III.1 E The Information Ratio (IR) 20
III.1 F The Modigliani and Modigliani measure (MM) 21
III.1 G The TT measure (Ti) 21
III.1 H Market Timing Ability (gamma) 21
111.1 I Conclusion 22
III.2 Data 22
III.3 Methodology 24
IV. Results 29
IV.1 Overall Total Returns 29
IV.2 Jensen's Model 30
IV.2 A Alternative Benchmarks 32
IV.2 B Conventional Benchmarks 35
IV.3 Alternative Performance Measures 37
IV.3 A Performance Measures with Conventional Benchmarks 39
IV.4 Treynor and Mazuy's Model 41
IV.5 Robustness Analysis: How do IEFs Fare in Bear Markets? 45
IV.3 A Downside Risk 47
V. Conclusions and Outlook 50
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Acknowledgement
The road to knowledge, quite like the road to success, is bumpy and full of obstacles.
Nevertheless it has been a fun and very interesting road to walk on. My supervisor, Roman
Kraussl sparked my interest in this subject and its catalyst was my Muslim background. I
wish to thank him for his clear guidance, his useful critiques and his pleasant way of
communicating. I would also like to take this opportunity to thank some additional people
who helped me during this process.
Foremost, I would like to thank Johannes Gunnell, at UBS Investment Bank in Amsterdam.
He helped me get the most important component of my empirical analysis, namely the unit
prices of the IEFs. Thanks Jojo! Without you, this thesis would really not have been possible.
I would also like to thank Ismael Abudher, at Palladyne Asset Management. He provided me
with some additional data and provided helpful comments to my research approach.
In addition, I would like to thank Hans Visser. He was very helpful in providing some links
to relevant websites and conversations with him led to some interesting insights into the
nature of IEFs. I particularly enjoyed his concise but very informative book "Islamic
Finance", which was very helpful in making this thesis.
Furthermore, my gratitude goes out to Herbert Rijken. A healthy discussion with him
contributed to the quality of this thesis.
Other people who provided me with advise and clarity on their research and whom I am
grateful to are: Fikriyah Abdullah, Shamher Mohammed and Tariq Rifai at Failaka
International.
Last but not least I would like to thank Yannick Maim and Diemer de Vries, two close
friends who next to their companionship provided me with useful comments and with whom
I had fruitful discussions regarding on this topic.
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I. Introduction
Mutual funds are an interesting investment vehicle for people that whish to prosper from
financial markets, but lack the knowledge, skill, or time to manage their own wealth. Over
the years the number of these mutual funds has increased substantially with the assets
invested in the mutual fund industry approximated at $3.7 trillion by 20031. However
Muslims are not allowed to invest in standard mutual funds since their faith prohibits them to
invest in certain equities, like those of banks or companies that deal in pork, alcohol,
pornography and certain entertainment related products. Furthermore Muslims are prohibited
to either pay or receive interest, which further narrows their investment universe, excluding
for example conventional bonds.
To meet the demand of Muslims who still whish to invest in equities, special Islamic Equity
Funds (IEFs) have emerged rapidly since the early 90s, when Muslim scholars reached
consensus regarding the permissibility of equity investing. Since then, these IEFs have gained
considerable popularity among Muslim investors as well as Non-Muslim investors who see
IEF investment as a form of Socially Responsible Investing. Despite this popularity, the
academic literature on IEFs (and more specifically on their performance) has unfortunately
lagged behind. This has negatively affected the already poor transparency on the performance
of these funds. This paper intends to mitigate this by answering the question: How have IEFs
performed for the past five years in comparison to their benchmarks? In addition to
answering this question, the risk and returns characteristics of IEFs during difficult market
conditions (bear market) are analysed. Furthermore, this paper aims to give an insight into the
nature of Islamic investing, explain the rationale behind it and discuss the main opportunities
and challenges for this interesting new investment industry. Finally, this paper also aims to
add modestly to the literature on efficient markets and the CAPM.
The empirical research consists of five main parts. First, the average total return of IEFs is
calculated and compared to their benchmarks. This is done against Islamic as well as
conventional benchmarks, so the results are meaningful to Muslim as well as Non-Muslim
investors. Secondly, the alpha and beta of each IEF is estimated through regression analysis.
The significance of these individual alphas and betas is evaluated as well as the significance
of the average alpha and beta, with the use of the t statistics on the estimated and average
coefficients. Thirdly, several other performance measures are calculated to assess IEF
performance like; the Sharp Ratio (SR), the Treynor Ratio (TR), the Information Ratio (IR),
the Modigliani and Modigliani measure (MM), the TT measure (TT). These performance
measures are all again based on Islamic as well as conventional benchmarks and the
significance of the TT and MM measure is evaluated with the use oft statistics. Fourthly, the
market timing ability (gamma) of IEFs is estimated with regression analysis using the
Treynor and Mazuy (1966) model. Here, the alphas and betas estimated by this model are
also compared to the previously estimated alphas and betas to assess which model is better.
Fifthly, the risk and return characteristics of IEFs are evaluated for the bear market year
2002, by evaluating the SRs and MM measures of IEFs during this year and estimating the
significance of the average MM with the use of its t statistic.
The results are broken down in three geographical categories, because the largest part of IEFs
in the sample is invested either globally (category Global) or in Malaysia (category
Malaysian), while a small part is invested locally elsewhere (category Other).
Martha McNeil Hamilton, The Washington Post, 2003.
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The results of the first part of the research indicate that IEFs on average have underperformed
their Islamic and conventional benchmarks, although this is mainly caused by the
underperformance of Malaysian funds. The results of the second part indicate that adjusting
for risk, IEFs slightly underperforms their Islamic and conventional benchmarks, but that this
underperformance is insignificant and robust against alternative Islamic benchmarking. This
result, combined with the fact that almost all betas of IEFs as well as the average beta are
found to be highly significant, points in the direction of efficient markets and the validity of
the CAPM. It also shows that IEFs have a low average beta (0.75) and are thus low risk
investments. The third part's result shows that based on alternative performance measures,
IEFs on average have outperformed their Islamic and conventional benchmarks, but again
indicates that they did so insignificantly. This result also indicate that Malaysian funds are
the worst performers among the three groups of IEFs and that IEFs in general are most
attractive as part of a larger fully diversified portfolio, like a fund of funds. The results of the
fourth part indicate that IEFs on average do not possess market timing ability. Malaysian
funds are however found to be the better market timers while globally invested funds seem
better at stock picking. The results of this part also indicate that a CAPM regression that does
not allow for market timing underestimates alpha when gamma is positive and
underestimates alpha when gamma is negative. The final part of the research shows that IEFs
significantly outperformed their Islamic and conventional benchmarks during the bear market
of 2002, which was somewhat expected given their low betas. Interestingly though the
Malaysian funds are found to be the highest out performers while their betas are similar to the
average beta of IEFs as a whole. This result was further scrutinised by estimating the
downside risk of IEFs using the approach proposed by Ang et al. (2005). This resulted in a
behavioural finance explanation of the relatively low returns on Malaysian IEFs, namely that
they are less prone to downside movements of the market and are thus perceived as less risky
by loss averse investors.
The remainder of the research is organised as follows. Section II describes Islamic Investing
and provides a literature review. Section III gives an overview of the performance measures
used in this paper and discusses the calculations, advantages and disadvantages of each
measure. This section furthermore describes the data and discusses the methodology used for
the empirical analysis. Section IV presents and analyzes the results. Section V concludes,
gives an outlook and suggests improvements to this research.
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IL Islamic Investing
Islamic finance is a relatively new phenomenon in the arena of economics and banking
(Visser 2004). Although it is common knowledge that Islamic finance is based on the
prohibition of interest, its other important features are usually unknown. To clarify, the
following provides a concise overview of the rationale behind Islamic finance and its main
features.
II.1 The prohibition of interest=
One of the most prominent features of Islamic finance is the prohibition of riba (interest).
Literally translated riba means `increase', 'addition' or 'surplus'. The Sharia (Islamic Law)
interprets riba as an addition to the principle. This view implies that payment for the use of
money, which is fixed beforehand, is also seen as riba and thus prohibited. This ban on
interest is in fact not a purely Islamic trait. Visser (2004) points out that the Christian Church
at various times in history banned usura (a technical name for interest) based on passages in
the Bible.
The prohibition of riba in Islam is based on a number of passages from the Quran (the
Islamic sacred book) namely Sum (verse) 2:275, 276 and 278, Sura 3:310, Sura 3:39 and
Sura 4:161. Siddiqi (2004) points out that these verses imply 5 reasons why riba is prohibited
in Islam namely that it:
Corrupts society: this is derived from the association of riba with fassad (corruption) in verse
30.
Implies improper appropriation of other people's property: derived from the Quran
mentioning riba in verse 4:161 as "cheating others of their possessions".
Ultimately results in negative growth: implied by verse 2:276 in which riba is mentioned to
lead to "negative growth", this negative growth is interpreted as non-monetary growth,
namely the decline in social welfare.
Demeans and diminishes human personality: derived from verse 30, as well as from verse
2:276, where the negative growth in society can be translated to individual loss in diginity.
Is unjust: derived from verse 2, Siddiqi (2004) admits that the reason why riba is unjust is
not clearly stated in the Quran.
The author feels that these reasons seem to be incomplete and overlapping. Although Siddiqi
admits that the reason why riba should be unjust is unclear, this can also be said about the
other arguments. It is for example not clear at all why riba is an improper appropriation of
other people's property. Neither is it clear in what way the negative growth in society would
manifest itself. Furthermore the last argument is just a generalization of the previous
arguments, which all imply the injustice of interest. Still these and similar reasons are
commonly used to explain Islam's ban on riba.
Although the ban on riba is widely accepted by the Islamic community, its translation to the
contemporary economic system is rather ambiguous. Some state that one form of riba
concerned a custom in the pre-Islamic Arabia' (Qureshi 1991) and thus would make the ban
on it irrelevant for modern day banking. A similar conclusion is reached by Kuran (1995)
2
The following is mainly derived from Visser (2004)
3
This was the custom that if a debt was not paid at maturity, its principle was doubled.
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albeit via a different argumentation, namely that the ban on riba was to prevent debtors being
enslaved. Other various Muslim scholars have expressed the opinion that riba as meant in the
Quran manifested itself in Muhammad's time in very specific forms, and that its ban can not
simply be extrapolated to all forms of contemporary interest. In fact, the Islamic theological
research committee at Cairo's Al-Azhar University ruled 21-1 that loans against a fixed
interest rate are not forbidden under Islam (Trouw 2002).
Still there are many Muslim scholars that do believe that the ban on riba is of relevance for
the modem world. This is the view held by many members of the Sha•ia boards of Islamic
investment companies. Although this view is quite strict in its interpretation of what riba
means nowadays including in it bank interest as well as fixed rate interest on bonds, its
proponents do relax Islamic restrictions in other ways (more on this in section II.3) to make
Islamic investing possible.
II.2 Gharar and Maysir°
As noted before, the ban on interest is not the only important feature of Islamic finance. Just
as important are the prohibition of gharar (risk) and maysir (gambling).
Gharar stands for not knowing the value of a purchased good. According to Visser, the ban
on Gharar implies that "commercial partners should exactly know the counter value which is
offered in a transaction" (Visser (2004, p. 28)). This ban is derived from hadiths (record of
actions and sayings of the Prophet) forbidding the purchase and sale of things like `the catch
of the diver' or `the birds in the sky' (El-Gamal 2001). This means that purchasing goods of
which the value is unknown beforehand is prohibited. That's why its prohibited for example
to buy `the catch of the diver' since beforehand the catch (and thus its value) is unknown.
Maysir stands for gambling and its ban comes from its explicit prohibition in the Quran
(Sara 2:219, 5:90, 91). It is thus prohibited for Muslims to engage in speculation of any kind
to make money, since speculation is seen as a form of gambling.
The ban on Gharar and Maysir has far reaching consequences for Muslim investors since it
implies that they are prohibited to invest in futures, options and other speculation based
derivatives. This also limits the scope for many structured products, which are usually a
combination of real assets and derivatives.
II.3 Equity Investment Criteria
The previous paragraphs have shown that Muslims are in many ways limited in their scope to
prosper from financial markets. Investing in shares of companies is permissible however6,
albeit under strict regulations. Muslims are not allowed to invest in companies that produce
or trade in forbidden goods and services. These goods and services include pork and pork
related products, alcohol, gambling, pornography, conventional banking, but also
4
The following is mainly derived from Visser (2004)
5
In Islam, Muslims must abide by the rules laid out in the Quran as well as by the sayings of the Prophet and
the rules implied by his handlings in certain situations. These handlings and sayings have been recorded
throughout the Prophet's life and are known as hadith.
6
In fact until, the early 90s it was not certain that even investing in shares was permissible (Siddiqi 2002), but
since The Islamic Fiqh Academy (a leading authority on Islamic issues) issued a decree that investing in Sharia
compliant equities was permissible, this view has been largely adapted by the Muslim community.
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entertainment related products and services like music, cinema and hotels. Furthermore
investments in tobacco, arms and defence companies are also advised against.
The companies whose core activities do not include the abovementioned goods and services
must furthermore adhere to additional criteria:
• The debt to total assets ratio of eligible companies may not exceed 33%.
• Interest income and other "impure" income may not exceed 5-10W of total income.
• The amount of receivables may not exceed 45% of total assets.
It is clear from these criteria, that some leniency has been applied to the strict rules of not
receiving or paying any interest. Note that in fact these rules imply that a company may
actually pay as well as receive interest albeit to a limited amount. These concessions had to
be applied since almost every firm has at least some amount of outstanding debt, as well as
certain assets reaping interest income. When investing in these companies however, the
amount of return made through interest is often subtracted from the total stock/fund return to
purify the total return from "unclean" return.
Concluding this section, it can be stated that Muslims only have a limited amount of
investments possibilities because of the ban on riba, ghamr and maysir and the prohibition of
certain goods like alcohol and pork. Furthermore it can be concluded that there is no
consensus regarding the precise meaning of riba in terms of contemporary forms of interest
and that the ban on riba has a predominantly dogmatic base rather than following economic
(one might even say logical) reasoning.
II.4 The IEF Industrys
Islamic Equity Funds (IEFs) are like Islamic investing a relatively new phenomenon. There is
not much known about the market in which IEFs operate and how this industry evolved. The
following thus give a brief overview of the history, characteristics and market of the IEF
industry.
II.4 A History
The first Islamic Equity Fund was found in 1986 by the North American Islamic Trust to
oversee among others the funding of mosques in America. Between 1986 and 1994 the
amount of IEFs as well as the value of assets invested in them was quite small.
The amount of IEFs grew rapidly however from 9 before 1994 to over 130 by the beginning
of 2006, with the value of assets invested in IEFs growing from $800 min in 1996 to $6 bin
in 20039. This increase in growth was caused predominantly by a decree issued by the
Islamic Figh10 Academy, which stated that Muslims were allowed to invest in equities within
certain parameters, this was not certain before this time.
7
The maximum amount that may be earned through interest and impure income differs between 5-10%,
depending on interpretation.
8
The following is derived mainly from
9
(New Horizon No. 130, May 2003 p.2)
to
Islamic jurisprudence
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After the IEF market started growing in the mid 90s, demand started to arise for more
transparency on these funds. There was for example no official Islamic index then to
benchmark the returns of IEFs against. The Dow Jones and FTSE, who in 1999 launched the
Dow Jones Islamic Market Index (DJIMI) and the FTSE Global Islamic Index Series (GIIS)
respectively, first provided this benchmark. The DJIMI is a subset of 2000 Sharia compliant
equities included in the broader Dow Jones World Index. The GIIS track about a 1000 Sharia
compliant equities and is a subset of the FTSE World Index. Both indices are diversified
through a broad range of sectors and regions, with the DJIMI having a high regional exposure
to America.
Before 9/11 and the bursting of the Internet bubble, many IEFs were overweight in
information technology stocks (Siddiqi 2002, Visser 2004, failaka 2002). This was because it
was an attractive sector to be in and one, which included companies that passed the Islamic
criteria relatively easily. The bursting of the Internet bubble in 2000 however, made Muslim
investors reluctant to invest heavily in tech and substituted to more defensive sectors like
healthcare. A significant part still is invested in technology stocks though. In fact the DJIMI
has a 40% weight in technology and healthcare divided almost equally between these two
sectors.
Nowadays most IEFs are pretty basic open-ended mutual funds, offering medium to long-
term growth based on capital appreciation rather than dividend income. Growth stocks are
often favoured, but there seems to be no strong preference for size. Exotic funds like
"contrarian funds"" and other behavioural finance based funds are scarce to absent. There
are however a limited amount of hedge funds and private equity funds.
IEFs are mainly offered by local players, but also some large Investment Banks like UBS,
Citigroup and Merril Lynch. Another global Investment Bank, HSBC even has a daughter
HSBC Amanah Finance that specifically targets a Muslim clientele.
II.4 B Market
The market for IEFs is quite large, since there are approximately 1.3 billion Muslims around
the world. Furthermore there is a growing middle class of Muslims around the world. India
for example has a booming economy with a fast growing middle class and the second largest
Muslim population around the world (174 million in 2001). Another example is Pakistan with
an average GDP growth of 5% and 178 million Muslims in April 2006.
This growing middle class is interesting because the most IEFs have minimum investment
thresholds between $200045000, which is sufficiently modest to attract a substantial middle-
class clientele (Siddiqi 2002). In fact the IEF industry has already been focussing on this
segment. Failaka'2 for example states that of the 15 largest IEFs (in terms of asAPts) only one
has a minimum investment over $25,000.
But the growing middle class is not the only interesting segment for IEFs to be in. Many
"high net worth individuals" in the Middle East are excellent clients for the sellers of IEFs.
These are funds that invest in "loser" stocks which have performed badly over a certain period of time since
the fund managers believe that stock markets overreact and thus that losers become winners and vice versa.
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From "Islamic Equity Funds: Analysis and Observations on the Current State of the Industry" —Failaka
International INC (2002)
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The amount of money circulating in this area has increased strongly from an already high
value since the recent rise of oil prices13. These high net worth individuals are also targeted
by some IEFs, which have a minimum investment threshold ranging from ranging from 1 to 5
million dollars.
Even non-Muslims are an interesting market for IEFs. Islamic investing is in many ways a
form of Socially Responsible Investing. An industry, which had over $2.29 trillion worth of
assets in 2005 in the US alone14.
The large growth potential of IEFs however is on itself not alone to make the industry
flourish. Many caveats (besides return performance) stand in the way of healthy growth in
the IEF industry. Failaka for example names:
• Distribution channels: these are not properly set up yet to access the most attractive
segments, namely the retail investor.
• Breadth of Products: the funds offered by Islamic investment firms are not diverse
enough. There is a need for more sector and style based IEFs and exotic funds, so as
to meet more specific demands of investors. Furthermore the limited amount of IEFs
lowers the choice of potential investors.
• Fee Structure: the fee structure of IEFs needs to be more competitive, currently IEFs
on average charge higher management fees than conventional funds.
• Client Education: there is still too much uncertainty regarding the permissibility for
Muslims of investing in equity. Potential clients should thus be educated about this
and convinced about the permissibility of equity investing.
In addition to this list, it can be stated that IEFs are probably not marketed very well. An
example of this is the fact that many (even Muslim) investors do not know of the existence of
IEFs. Ahamd (2001) also states that marketing channels of IEFs are not effective enough yet
to penetrate the small and middle-class savers.
II.4 C Specific Risks
Because of their nature, IEFs are exposed to specific risks that are normally not bourn by
conventional funds. The most obvious risk is that of diversification. Since IEFs have a
limited investment universe, they are also limited in their diversification potential. This risk
may not be as severe though as might seem at first, since the amount of permissible securities
is large enough and contains enough sectors and regions to provide nearly efficient
diversification. This conclusion is also reached by Abdullah, Mohammad and Hassan (2002),
who find that the diversification level of Islamic funds is slightly less than that of
conventional but insignificantly so. This risk is however important in the sense that IEFs are
unable to `ride' the returns of certain attractive sectors.
IEFs are also prone to changing Sharia rules. The screening criteria for permissible stocks for
example seem rather arbitrary (Visser 2004). There is for example no guarantee that Muslim
scholars wont condemn a debt to total asset ratio of 33% in the near future to adapt a ratio of
25%. This would off course have major implications for the equities included in Islamic
portfolios. Furthermore there is no real consensus regarding the selection criteria for
13
Countries in the Middle East and especially the United Arab Emirates have been known to be large exporters
of oil.
14
"2005 Report on Socially Responsible Investing trends in the US"— Social Investment Forum.
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permissible equities. The definition of permissible "impure" income for example already
ranges from 5-10%.
Since IEFs are relatively new, they often also lack a sufficiently long track record (Ahmad
2001). This makes long-term performance evaluation more difficult. Not only because of the
scarcity of data (which in some cases even limits statistical analysis) but also because the
behaviour of IEFs through different bear and bull markets can't be evaluated.
Next to the lack of sufficient data another caveat of IEFs is that they are not transparent
enough (Hakim and Rashidian 2002, Ahmad 2001). Until the Dow Jones and FTSE launched
their Islamic indices, there were for example not even any proper benchmarks to evaluate IEF
performance against. Some countries in which IEFs operate do not have well defined
disclosure requirements, which limit the incentive for IEFs to be more transparent.
Since IEFs do not invest in companies with high debt to total asset ratios prone to investing
in sub optimally leveraged companies. Furthermore investing in low debt companies may
also mean a high exposure to companies that have difficulty in debt financing like start up
companies. Since start-up companies are typically small, IEFs might have a high exposure to
small growth stocks.
From another corporate finance perspective, IEFs may also run the risk of holding shares in
companies that over invest. Since companies that have high interest income (which apart
from banks is for most companies likely due to a large cash holding) don't pass Islamic
screening criteria, IEFs can only invest in companies with relatively small amounts of cash.
When these small cash holdings are a result of firms investing in bad projects, just to get rid
of the cash, this will later on have a negative impact on the firm's future results. However
there are plural reasons why companies have low cash holdings including that these
companies are just disciplined, with no unproductive assets on their balance sheet.
IEFs can't invest in companies that have receivables that are more than 45% of total assets.
This restriction implies that IEFs may run the risk of investing in illiquid companies since
low receivables may mean a lower working capital and quick ratio.
One can conclude from the previous paragraphs that the IEF industry has in its short history
seen extensive growth and that the market for Islamic investing is large enough to be
attractive. Islamic investing however comes at the cost of extra risks and the industry still
needs to evolve in certain critical areas to fully achieve its full growth potential.
II3 Literature Review
Fund performance evaluation has been the subject of debate among financial economists for
a long time. This debate took a flight after William Sharpe (1964), John Lintner (1965) and
Jan Mossin (1966) developed the Capital Asset Pricing Model (CAPM), which is a set of
predictions concerning equilibrium expected return on risky assets. The foundation for
modern portfolio theory, on which the CAPM is based, was however laid down a few years
earlier by Harry Markowitz in 1952 (Markowitz 1952). Mathematically the CAPM is
expressed as:
E(R)- Rf + fli[E(R„,)- RI ] (1)
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Where E(R,) is the expected gross return on a risky security's i, Rf is the return on a risk free
asset, R„, is the gross return of the market portfolio and /3; is the sensitivity of security i's
return to the market portfolio estimated by regression analysis.
Thus equation (1) shows that according to the CAPM, the expected return on any risky
security should be proportional to its sensitivity to the market. This implication is made
amongst others by the assumption that security prices fully reflect available information. This
is commonly known in financial economics as the Efficient Market Hypothesis (EMH)16.
Using the implications of the CAPM, one of the first studies to actually evaluate fund
performance and test the EMH was by Michael Jensen (1968). Jensen systematically tested
the performance of 115 mutual funds over a period of 19 years. He concluded that only fund
significantly outperformed the 500 benchmark after taking into account transaction
costs and concluded that the EMH seems to hold well in practice and that mutual fund
managers can't systematically outperform the market.
Although Jensen's study was pioneering in providing clarity on mutual fund performance and
testing the EHM it only used a single measure to define out performance. This measure later
became known in financial literature as "Jensens Aplha" (see section I1I.4 B).
Some years later McDonald (1974) used multiple evaluation methods to assess the
performance of 123 mutual funds during 1960-1969. He concluded that the majority of the
funds did not perform as well as the New York Stock Exchange (NYSE) benchmark.
Kon and Jen (1979) evaluated mutual funds taking into account that systematic risk is often
non-stationary. To do this they divided the sample in three different risk regimes and ran a
standard regression for each period. Kon and Jen found evidence of different levels of beta
(systematic risk) suggesting that a large number of funds engage in timing activities.
Grinblatt and Titman (1989) found that abnormal performance did exist for some mutual
funds during the period 1974-1984, but also found that the funds with the abnormal
performance had higher management fees. After subtracting these fees and transaction costs,
Grinblatt and Titman found no significant out performance indicating that investors cannot
take advantage of the superior abilities of excellent portfolio managers by investing in their
funds.
Chen et aL (1992) used a sample of 83 mutual funds over the period 1977-1984 and
evaluated their performance using systematically varying parameter regression. Their main
conclusion was that these funds do not possess market timing ability and that there is a trade
off between market timing ability and security selection ability.
In 1996 an influential study by Elton, Gruber and Blake (1996) criticized previous studies on
fund performance stating that they concentrated too much on new methodologies for
evaluating performance and didn't pay enough attention to biases in their data. They pointed
out that fund returns are often overstated if the sample consists of funds that existed
15
The argument also holds for a portfolio of risky securities, like a mutual fund.
16
The EMH comes in three forms, namely the weak, semi strong and strong form. The weak form of the EMH
states that security prices already reflect all information contained in the history of past prices, while the semi
strong states that security prices already reflect al publicly available information including past prices. The
strong form of the EMH goes even further to state that stock prices reflect all relevant information including
insider information.
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continuously over the sample period. Elton, Gruber and Blake argued that since funds that
disappeared during this period were not included in the study there was a "survivorship bias"
in their results. The reason for this bias being that funds that disappeared did so because of
their poor performance. Consequently the funds that were included in the sample were the
ones that did well enough to stay alive. This would then lead to overestimation of fund
returns since the very bad performing funds were excluded from the sample.
Another influential paper was written by Fama and French (1993) who stated that the CAPM
model was too simplistic because it omitted other factors that explain stock returns. They
proposed a three-factor model, which explains stock returns not only as a function of
exposure to the market but also to exposure towards a size and a value factor.
Carhart (1997) acknowledged the above-mentioned critiques and assessed mutual fund
returns with a survivorship bias free sample and using a multi factor model. Carhart included
all known equity funds between 1962-1993 (his sample period) in his study, so also the ones
that had disappeared within the sample period. Furthermore Carhart uses a four-factor model
to test for abnormal returns, this four-factor model includes the three factors as proposed by
Fama and French (1993) and an additional momentum factor as proposed by Jegadeesh and
Titman (1993). One of the conclusions of Carhart's study was that Mutual Funds under
performed the NYSE by approximately the amount of their investment expenses. This result
also indicates that although some funds might get superior returns, extra transaction costs and
management fees often offset this.
More recently, Bolle and Busse (2004) use Carhart's (1997) four factor model to find that
Mutual Funds, which were at the top decile the previous quarter, earned an average abnormal
return of 39 basis points over the next quarter, implying persistence in out performance.
When evaluated over a longer period however, this result disappears. The overall conclusion
seems to be that out performance is a short-term phenomenon.
Research on the performance of Islamic Equity Funds (IEF) is much more scarce. This is
partly due to the fact that IEF's are a relatively new phenomenon l7 and partly because of the
lack of availability of sufficient data. Nonetheless, the following will give an overview of the
available literature on IEF performance.
One of the earliest studies on Islamic Funds was not until 1997 when Annuar, Shamsher and
Ngu (1997) used the model developed by Treynor and Mazuy (1966) to examine the
performance of 31 Malaysian mutual funds for the period 1990-1995. Many of these funds
are Islamic and thus provide a proxy for Islamic Fund performance. The results are of course
biased because conventional funds are also included in the study. Annuar, Shamsher and Ngu
found evidence that these Malaysian funds did outperform their benchmark, but were poor at
timing the market. Unlike Chen et aL, Annuar, Shamsher and Ngu found a positive
correlation between market timing ability and security selection ability.
Shamsher, Annuar and Taufeeq (2000) conducted a study on the performance of passive and
active Malaysian funds for the period 1995-1999 using various performance measures's.
17
The first IEF started in the late 80's while the first official Mutual Fund was created in 1924.
18
This study is also biased by including conventional funds in the study and thus is only a rough proxy for
Islamic fund performance.
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They found that there was no significant difference between active and passive funds and that
they both underperformed the Kuala Lumpur Composite Index benchmark.
Ahmad (2001) provided a very rough guide to IEF performance by evaluating around 13
IEF's individually. Although Ahmed states that some Islamic Funds outperform benchmarks
like the MSCI and states that the IEF industry has outperformed the banking industry, he
does not back this with statistical analysis. Thus no clear conclusions can be drawn from his
research regarding the performance of IEF's.
Abdullah, Mohammed and Hassan (2002) provide a more thorough analysis of the Islamic
Equity Fund industry albeit only for Malaysian funds. They analyse 67 Malaysian unit trust
funds including 14 Islamic and 53 Conventional Funds using multiple performance measures
like the Sharp Ratio, the Modigliani Measure and the Information Ratio. Abdullah,
Mohammed and Hassan conclude that both type of funds slightly underperformed the Kuala
Lumpur Composite Index (KLCI) benchmark. However this under performance is
statistically insignificant and thus holds no economic meaning. Abdullah, Mohammed and
Hassan also find that the return of the Islamic and Conventional Funds is quite the same.
Their overall conclusion is that IEF's in Malaysia follow the benchmark as well as
conventional funds and that they both do this reasonably well. However when taking into
account risk, Abdullah, Mohammed and Hassan find that the IEFs perform better than
conventional funds during bear markets and that conventional funds perform better than IEFs
during bull markets. This implies that investors have the option to switch between these
funds depending on the market conditions and their personal preferences.
II3 A Discussion
It seems that the literature on Mutual fund performance (Islamic as well as conventional) is
somewhat ambiguous. Presumably because of the multiple methods used to evaluate fund
performance. The existence of survivorship bias may for example have overstated returns of
funds in the earlier studies. It is however difficult to estimate how big this survivorship bias
was for each study individually.
Furthermore the benchmarks used in several studies differ while sometimes using the same
type of stocks, Jensen (1968) for example used the 500 benchmark as opposed to
McDonald (1974) and Kon and Jen (1979) who benchmark against the NYSE.
Also the benchmark used in earlier studies may not be the right benchmark to be used today,
this could be because a certain sector dominates a benchmark now, which it didn't in the past.
If for example a benchmark contains a significantly higher weight in the technology sector
than 15 years ago, it would not be appropriate to use it to evaluate a fund (at present time)
that is underweight in tech stocks. The benchmark would however have been sufficient 15
years ago when it wasn't overweight in tech stocks.
The assumption in some studies that systematic risk is stationary is also a problem in research
on fund performance19. When evaluating funds over a long period of time it might very well
be that the systematic risk changed during several sub periods. While some studies
acknowledge this phenomenon, others seem to disregard it, which also makes it difficult to
compare their results.
19
For example in Jensen (1968)
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Furthermore it is difficult to compare the earlier studies on Fund performance with the more
recent studies because of the fact that some studies use performance measures based on the
CAPM model to assess abnormal returns, while others use a multifactor model. Examples of
the latter are Carhart (1997) and Bollen and Busse (2004) and examples of the former are
Jensen (1968), Grinblatt and Titman (1989) and Abdullah, Mohammed and Hassan (2002).
Although the result of the literature review is difficult to assess, it seems that many studies
find that Mutual funds are not able to outperform their benchmarks, at least not for sustained
periods. The overall results of studies on mutual fund performance seem to imply that the
semi-strong form of the EMH holds.
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III. Empirical Analysis
This section explains the main performance measures used in financial literature to evaluate
mutual fund performance by. It discusses the way these measures are calculated to given an
understanding of their nature, differences, caveats and advantages. Furthermore, this section
describes the data used in this research and gives a detailed description of the methodology
used to attain the results.
III.1 Performance Measures
Assessing the performance of mutual funds requires an understanding on multiple facets of
their returns. There are multiple dimensions that have to be taken into account when trying to
understand how "well" a certain fund has performed over a specific period. The following
gives an overview of the most commonly used performance measures in financial literature
and discusses their caveats and advantages.
III.1 A Average Return
The most basic and simple method to evaluate fund returns20 is by calculating the average
total return and comparing it to the average return of the benchmark. Mathematically,
average return is defined as:
-n2
17
R (2)
Here Rp, is the return on fund p at time t and n represents the number of fund returns in the
sample.
This way of assessing IEF performance is very simple and intuitive, but is seldom the only
measure by which funds are evaluated. There are many shortcomings to this measure, but the
main argument against it is that it does not take into account the risk taken to achieve a
certain return.
B Jensen's Alpha (alpha)
One of the most prominent performance measures in financial literature is the one developed
by Michael Jensen (1966). Jensen's model is based on the CAPM model but has some
fundamental differences (explained below) and is expressed mathematically as:
R_ — R a p +/3p[R. — Rft (3)
= the return on portfolio (or fund) p at time t
= the return on the risk free asset at time t
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