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BUSN 89: Degree Project in Corporate andFinancial Management - Master Level
Department of Business Administration
Lund University
Spring 2016
Abnormal Dividend Increases – Do they Signal?An assessment of the signaling value in dividend increases which deviate from a firm’s historical
dividend policy
Advisor: Authors:Jankensgård, Håkan Fossum, Niklas
Fridlund, Johan
Skog, Magnus
ABSTRACT
Title: Abnormal Dividend Increases – Do they Signal? - An assessment of the signaling value in dividend increases which deviate from a firm’s historical dividend policy
Seminar date: 2016-06-02
Course: BUSN 89: Degree Project in Corporate and Financial Management – Master Level, 15 University Credit Points (15ECTS)
Authors: Fossum Niklas, Fridlund Johan, Skog Magnus
Advisor: Håkan Jankensgård
Key words: Historical dividend policy, signaling value, abnormal stock returns, earnings levels, regular dividend increases, abnormal dividend increases, Swedish market,
Purpose: The purpose of this thesis is to examine dividend increases that are large compared to the company’s historical dividend policy. The aim is to try to bring clarity to how this will affect the stock price and the earnings level of the company.
Theoretical In order to analyze the results theories such as sticky dividendperspectives: theory, market for lemons and dividend smoothing will be used.
Prior research will also be accounted for.
Methodology: Two quantitative studies have been performed. A calendar Time Approach study has been conducted to measure the performance of the stocks included in the sample. The earnings study has been conducted by using a model that assumes earnings to follow a random walk and therefore any earnings change becomes unexpected.
Empirical The analysis is based on companies listed on the Swedishfoundation: Small, Mid and Large Cap Stock Exchange. One part of the results
is based on the performance between 2005 and 2013 and the other part between 2005 and 2015.
Conclusion: The findings of this study are that dividend increases that are large, compared to the firm’s historical dividend policy, are preceded by larger than normal earnings increases the year before. This is however not the case for the two years following the dividend increase. The study could not find that the signaling value is greater for stocks that increased their dividends more than what has been a regular increase for the company.
Table of Contents
1. Introduction....................................................................................................................11.1 Background........................................................................................................................................................11.2 Problem Discussion.........................................................................................................................................21.3 Research Purpose and Research Question...............................................................................................41.4 Delimitations......................................................................................................................................................4
2. Literature Review..........................................................................................................52.1 Theory..................................................................................................................................................................5
2.1.1 The Effective Market Hypothesis......................................................................................................52.1.2 Signaling Theory......................................................................................................................................62.1.3 Asymmetric Information.......................................................................................................................62.1.4 Sticky Dividends......................................................................................................................................72.1.5 Dividends and Risk.................................................................................................................................8
2.2 Earlier Research on Effects of Dividend Changes................................................................................92.2.1 Earnings and Dividend Increases.......................................................................................................92.2.3 Dividends and Stock Return..............................................................................................................10
2.3 Critique against Earlier Research.............................................................................................................10
3. Methodology.................................................................................................................123.1 Research Approach.......................................................................................................................................123.2 Data Collection and Sample Selection...................................................................................................123.3 Defining Abnormal Dividend Increases and Dummy Variable Creation...................................14
When defining a dividend increase this study does not include special dividends in the dividend per share..............................................................................................................................................................143.3.1 Increase of Dividend............................................................................................................................143.3.2 Larger Increase.......................................................................................................................................153.3.3 Two-Year Average...............................................................................................................................153.3.4 Five-Year Average...............................................................................................................................153.3.5 Quartile.....................................................................................................................................................153.3.6 Defining the Dividend Increase Size of a Dividend Initiation...............................................16
3.4 Sub-Study 1: Abnormal Dividend Increases Effect on Stock Performance..............................163.4.1 Long-Horizon Event Study................................................................................................................163.4.2 Firms Excluded from the Sample....................................................................................................18
3.5 Sub-Study 2: Abnormal Dividend Increases Effect on Earnings Levels....................................183.5.1 Model Definition...................................................................................................................................183.5.2 Firms Excluded from the Sample....................................................................................................19
3.6 Criticism against Research Approach.....................................................................................................203.6.1 Sub-Study 1.............................................................................................................................................203.6.2 Sub-Study 2.............................................................................................................................................213.6.3 Dummy Variables.................................................................................................................................21
4. Empirical Findings and Analysis...............................................................................224.1 Dividend Increases and Returns...............................................................................................................224.2 Dividend Increases and Earnings.............................................................................................................26
5. Concluding Discussion.................................................................................................305.1. Discussion.......................................................................................................................................................305.2 Future research...............................................................................................................................................32
References:..........................................................................................................................I
Appendices.......................................................................................................................VIAppendix A – Original Company Sample.....................................................................................................VIAppendix B – Included Companies Stock Performance Tests...............................................................IXAppendix C – Included Companies Earnings Tests...................................................................................XIAppendix D – Example Firm Hufvudstaden.............................................................................................XIIIAppendix E: Regressions with European Factors....................................................................................XIVAppendix F: Regressions with Swedish Factors......................................................................................XVIAppendix G: Heteroscedasticity Tests European Factors..................................................................XVIIIAppendix H: Heteroscedasticity Tests Swedish Factors........................................................................XXIAppendix I: Robust Standard Errors..........................................................................................................XXIV
1. Introduction
1.1 Background“New record in dividends expected this spring” (Goksör, 2014) “Time to buy stocks that pay
dividends” (Ericson, 2014) and “Dividends give fuel to the stock exchange” (Vilenius, 2016).
These are just a few of the headlines that have covered articles in Swedish newspapers during
the last couple of years. Dividends are as present in the world of finance today as they ever
have been, but the relevance of dividends is still widely debated. Some argue that dividends
are simply a way for firms to pay out residual cash flows to investors or a sign of too few
investment opportunities (Myers, 1984). Others state that there is something more to
dividends, that dividends convey information about the state of the company and what the
future holds. They argue that as management inherently possesses more information than
regular investors, dividends would be a way for management to signal their belief about
future performance.
Back in 1956 Lintner conducted a famous study where he argued that managers will only
increase their dividend level if they believe that they will not have to reduce it in the future
and that dividends would therefore convey information about future earnings. In contrast to
this, Miller and Modigliani (1961) argued that dividends are irrelevant and that shareholders
could just sell their company shares in order to receive a payout.
Another aspect of dividends is that it renders a double taxation for investors and therefore
some argue that dividends are bad news for investors. Other proponents argue that this is only
highlights the importance of dividends as they are being paid out even though double taxation
is in effect.
The dividend policy differs widely between firms and companies do assign varying
importance to dividends. The Swedish company Hufvudstaden has increased their dividend
every year since 2006, even during and the year following the financial crisis where dividend
increases were scarce in the Swedish market (Hufvudstaden AB, 2016). At the other end of
the spectrum, Acando has increased their dividend only once since they initiated dividend
payouts in 2008. A question that has been around for a long time is what an increase in
dividends signals to the market about future earnings and stock returns. If you take this one
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step further the question then becomes if a dividend increase by a company like
Hufvudstaden would have the same signal value as a dividend increase by Acando?
“Do you know the only thing that gives me pleasure? It's to see my dividends coming in.”
John D. Rockefeller (1901)
1.2 Problem DiscussionThe majority of the body of research points to the fact that there is no relationship between
future earnings and dividend increases. Merton Miller summed up the contemporary debate
regarding the relationship between earnings and dividend increases fairly well already in
1987 by stating, “…dividends are better described as lagging earnings than as leading
earnings.”
However, a special case where dividend changes play a part in both earnings decreases and
increases is that of dividend initiations and omissions. Several studies such as Healy and
Palepu (1988) have shown that dividend initiations/omissions are followed by an
increase/decrease in profit. Benartzi, Michaely and Thaler conducted a study in 1997
examining the same sample as the sample used by Healy and Palepu in their 1988 study.
They did not find, in line with much earlier research, any results that dividend increases
signal future increased earnings except for the rare case of a dividend initiation. Benartzi,
Michaely and Thaler sum up the results by stating: “We cannot explain why dividend
initiations should be so different from dividend increases, nor can we think of a reason why a
signaling model would make this prediction. Perhaps a firm can only send the dividend signal
once.”
Regarding stock returns, several studies have looked at the effect over a shorter period of
time following the dividend announcement and of dividend increases that are of a larger
quantity. Denis, Denis and Sarin (1994) looked at companies that did an increase of over 30
% and found that larger dividend increases led to larger stock returns on a 1 % significance
level.
Other similar studies have examined the effects on stock returns of these “large” dividend
increases instead in the long-term and have found a statistically significant abnormal return
for one, two and three years. Grullon, Michaely, and Swaminathan (2002) as well as
Michaely, Thaler, and Womack (1995) are some of the most famous examples. These studies
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categorize the companies that make “large” dividend increases as companies that increase by
a “large” value compared to the market.
In 2014 Michayluk, Neuhauser and Walker conducted a study examining if the market learns
to predict chain dividend increases, i.e. when a firm has increased dividends several years in a
row. They found that abnormal returns could be observed the first and second year in a row,
however further dividend increases were something that the market anticipated and therefore
had no effect to be seen on the stock price. However, the study did not take the size of the
increase into account, it focused on the number of dividend increases made.
To sum up, earlier research has studied whether larger dividend increases lead to larger stock
returns, if the effect is sustained over a longer period of time and the effect of dividend
initiations and omissions.
The authors of this paper hypothesize that defining large dividend increases with respect to a
firms historical dividend policy could capture a stronger signal to the market. This could also
be true even if the dividend increases are “large” compared to market in general, as long as
these “large” dividend increases have become the norm for the company. Further on, most
studies conducted on dividends have been using U.S data where firms pay quarterly
dividends. There is a possibility that Swedish firms due to less frequent dividend payouts
send stronger signals to the market.
In a study from Brav et al (2005), 89,6 % of managers responded that they try to maintain
smooth dividend streams and 80 % responded that they believe dividend policy convey
information to investors. In light of this it is not hard to speculate that when managers diverge
from their regular and smooth dividend policy by increasing dividends, management believe
that the company will experience a more beneficial future.
The question posed by Benartzi, Michaely and Thaler (1997) why dividend initiations should
signal earnings while a regular dividend increase does not, could be due to the fact that a
dividend initiation is the largest deviation from earlier firm dividend payouts. Therefore, this
paper will try to investigate if dividend increases, which differ from the companies’ dividend
history, have a signal value different from the signal value regular dividend increases have.
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1.3 Research Purpose and Research QuestionIn line with the content in section 1.2, we deem that there is a gap in the current research
regarding the effect of irregular dividend increases, which differ from the historical dividend
policy of a company. The study will therefore take a new approach in defining large dividend
increases and examine the signal value of such dividend increases.
The research questions are:
- How do dividend increases that are large, compared to the firms’ historical dividend
policy, signal future stock performance on the Swedish market?
- How do dividend increases that are large, compared to the firms’ historical dividend
policy, signal future earnings on the Swedish market?
1.4 DelimitationsTarget Group
The target group of this thesis is mainly academics who study the field of dividends. Our
findings can hopefully contribute to existing research and be of relevance to future studies of
dividends and their signaling value. However, as our research also could be used to construct
an investment strategy, this paper will be relevant for all people who invest in stocks. In line
with this, our study could further on be of relevance for management in their efforts to
construct a dividend policy that will maximize the value of their company.
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2. Literature ReviewThis chapter will discuss various reasons as to why companies adopt certain dividend
policies and what the scientific theories about these policies predict and interpret. Further
on, this chapter will also account for earlier research within the domain of dividend
increases with respect to both earnings, as well as stock returns.
2.1 Theory
2.1.1 The Effective Market Hypothesis
The theory about the effective market began to gain attention in the 1960`s and is probably
best known from the article “Efficient capital markets” by Eugene Fama in 1970. Fama
defines the market as effective when prices fully reflect all available information. If this
hypothesis holds, all performance by investors that is better than the average market is simply
due to luck. Fama categorize the level of market efficiency in to three subsets. These are
weak efficiency, semi-strong efficiency and strong efficiency.
The market that builds on weak market efficiency states that prices cannot be determined by
just looking at historical prices. In this scenario technical analysis of stocks, in which former
patterns are used to predict future patterns, is of no value.
The semi-strong market efficiency builds on the notion that prices fully reflect the
information obtained from historical prices and also all publicly available information such as
annual reports and statements from management. In this scenario the average investor cannot
on average beat the market as all public available information is already priced in to the
stocks.
The strong market efficiency states that even insiders of the company cannot beat the market.
However, this is a notion that Fama in his article from 1970 says does not hold as there
already then was evidence of this phenomenon not holding empirically.
Since Fama published his article, strategies have proven to be able to beat the effective
market hypothesis such as the momentum strategy (Marshall & Cahan, 2005). Fama has later
stated that he is aware of this but that the effective market hypothesis should more be used as
a proxy to which results can be compared against, than as a solid theory that always holds.
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2.1.2 Signaling Theory
Signaling theory stems from the works of Bhattacharya (1979) and Miller & Rock (1985).
These models rest on the basic assumption that dividends are not just a means of paying out
money to investors, but are something that also conveys information. Management has more
information than investors and thus are dividends a means to signal this information and their
faith in the future profitability of the company. In accordance with this, an increase in
dividends would signal that the company is undervalued and a decrease in dividends would
mean that the company is overvalued. Bhattacharya and Miller & Rock even hypothesize in
their models that management would keep a steady flow of dividends despite having to raise
costly external financing and give up on profitable investments.
There are different takes on what and why firms would want to signal by their dividends. For
example Allen, Bernardo and Welch (2000) suggests that firms pay high dividends to signal
that it is a quality company as high dividends attract institutional investors who conduct more
scrutinization of the company. Lower quality firms would thus not want to follow this
endeavor, as more scrutinization would be unbeneficial. The majority of signaling
hypothesizes do however speculate that changes in dividends signal changes in future cash
flows and has not anything to do with institutional investors.
Brav et al did a survey, in 2005, in which they interviewed managers about their views on
dividends. They found that 88,1% believe that there are negative consequences in reducing
dividends. This shows that dividends, at least to managers, have more value than just the cash
it is made of. However, the real implications and the validity of signal theory is something
that empirical testing has not been able to show a unanimous evidence of. In some instances,
such as dividend initiations, there seems to be a positive relationship with future earnings,
however with regular dividend increases the relationship is not as clear.
2.1.3 Asymmetric Information
Management does inherently sit on more information about the company than the investors.
This leads to an agency problem that results in some kind of uncertainty and heightened level
of risk for the investors. These types of agency problems increase when the company holds
more cash as investors are unsure if management will use the money for things such as
empire building and/or unprofitable investments. Many researchers like Fenn and Liang
(2001), Hu and Kumar (2004) have postulated that dividends are a way to decrease this
problem of asymmetric information. One of the more famous examples is Jensen’s free cash
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flow hypothesis, which states that a high level of debt is favorable as this disciplines
management to use their available cash wisely. Lastly, Leary and Michaely (2011) show that
dividend smoothing is most evident in firms with high asymmetry costs.
This line of reasoning is also applicable to dividends as this is another form of reducing
available cash for management and thus wasteful spending. Research like that of DeAngelo,
DeAngelo, and Skinner (2004) has shown that large, mature companies with lots of cash are
also the companies which have the highest payout ratio, probably because they are the
companies with the largest agency problems.
One of the more famous theories regarding information asymmetry is Akerlof’s theory (1970)
regarding “market for lemons”. This theory states that on a market with asymmetric
information between buyers and sellers, the “bad” merchandise will sell for the same price as
the “good” merchandise as there is no way to tell them apart. In order to mitigate this
relationship, the seller can certify his merchandise from a credible certifier and thus the buyer
will know that what is being bought is made of high quality which will raise the price. In
order for the certifier to send a credible signal it needs to be hard to mimic. Pertaining to
stocks, the question becomes if paying dividends becomes a way to certify that the quality of
the company is high.
Expanding further on the reasoning of agency problems is that of the influence of corporate
governance systems between different countries in its ability to reduce agency problems. This
theory builds on the research by La Porta et al (2000) and has been expanded upon by for
example Grullon and Michaely (2002). In countries with more concentrated ownership there
is less agency problems as large institutional investors do more monitoring by themselves and
thus there is a lesser need for high dividends.
2.1.4 Sticky Dividends
The theory of sticky dividends emerged from Lintners work in 1956. His findings supported
the notion that managers only increase dividends if they believe that this new level of payouts
can be sustained. Much literature support this conclusion and many have extended on these
findings like Fudenberg and Tirole (1995) who showed that managers calibrate earnings and
dividends to smooth them out in order to not get negative results that could lead to being
fired. Furthermore, Benartzi, Michaely and Thaler (1997) stated that dividend increasing
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firms are less likely to decrease their dividends in the future, indicating the fact that firms
only raise dividends when they feel certain that a future decrease will not be necessary.
Lambrecht and Myers (2012) hypothesize that smooth dividends can have something to do
with managers risk aversion compared to investors. This follows the reasoning that volatility
in the dividend stream can be followed by a volatility increase for the stock price. Lambrecht
and Myers deepen their studies in 2013 and show that even if the level of investment is very
volatile, the levels of dividends remain smooth. This smoothness is in part achieved by saving
cash for future down turns by the company, thus incurring so called financial slack for the
sake of dividends. Lastly, Leary and Michaely (2011) show that dividend smoothing is most
evident in firms with high asymmetry costs and that dividend smoothing has increased
steadily since the 1930´s.
2.1.5 Dividends and Risk
An interesting area of research regarding dividends is that of dividends and firm risk. There is
little research done in the area and to date there seem to be no comprehensive model to
measure this. Grullon, Michaely and Swaminathan (2002) studied the relationship between
changes in the level of dividends and systematic risk. They find that firms that increase their
dividends experience a lower level of systematic risk whereas firms that decrease dividends
experience increased systematic risk. Further on they found that dividend increasing firms
experienced a decline in revenue and an increase in stock price. Interestingly enough they
also found that the companies that increased their dividends and experienced the largest
decrease in systematic risk where the companies that performed the best over the subsequent
three years in respect to stock returns. An implication of this is that dividends do not signal
future increased profitability, but decreased risk and thus a decreased risk premium for the
company. This in turn will then raise the value of the company. Grullon, Michaely and
Swaminathan (2002) speculate that this should be the case as the value of a company is
basically decided by its current and future cash flows and/or its discount rate.
The reason for the reduction in risk is not entirely clear but some researchers speculate that
the dividend becomes the anchor to which the market gauges the stock price and as this value
changes infrequently the price stabilizes. Another explanation is being brought up by Grullon,
Michaely and Swaminathan (2002) who claim that reinvestment rates decline for large
companies which leads to excess cash, which is then being paid out and thus companies that
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pay large dividends are mature low risk companies. They call this the maturity hypothesis.
Thus, the decline in risk is because low risk companies pay out large dividends and not that
large dividends lead to low risk companies. The positive reactions to increasing dividends can
then, according to Grullon, Michaely and Swaminathan (2002), be because the market was
not fully aware of the decline in risk that the now more mature company will experience in
the future and thus ensues a positive stock market reaction.
2.2 Earlier Research on Effects of Dividend Changes
2.2.1 Earnings and Dividend Increases
Research like Benartzi, Michaely and Thaler (1997) has shown that firms cutting dividends
experience an earnings decrease in the year prior to reducing the dividend, and the same goes
for the year of the dividend cut, but the two following years actually show increased earnings.
Cutting dividends therefore can be seen as a lagged effect of earnings decreases. Regarding
dividend increases, Benartzi, Michaely and Thaler found that earnings had increased year t-1
and year 0. Benartzi, Michaely and Thaler measure the increase for year 0 as the last quarter
of the year of the dividend increase, which in effect makes the earnings measurement
primarily a gauge of the earnings the year prior to the dividend increase. After year 0 there
are no increase in earnings associated to dividend increases. Most studies confirm the
relationship that dividend increases do not signal future earnings, such as Grullon &
Michaely (2002), Pennman (1983) and DeAngelo & Skinner (1996). Grullon & Michaely
(2002) even shows that over a three-year period after an increase in dividends, earnings
decline and that the largest increases correspond to the largest declines in profitability.
However, there exist studies that contradict this as the one made by Nissim and Ziv in 2001.
Their study discard earlier researchers’ findings as they, according to Nissim and Ziv,
contained measurement errors like omitted variables and not taking in to consideration the
expected random drift and mean reversion that ensues. Nissim & Ziv’s standpoint has on the
other hand itself received criticism and other researchers like Grullon et al (2005) stated that
research that has been rigorous in its econometrics properties seem to have found results
conflicting with those of Nissim and Ziv (2001). For example Benartzi et al. (1997) used a
matched-sample study wherein non-dividend changing firms were matched to dividend
changing firms in terms of size, maturity, industry and earlier earnings.
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Thereby Grullon et al (2005) argue that they controlled for mean reversion and earning
patterns and found no abnormal change in earnings. In a different setting, DeAngelo,
DeAngelo, and Skinner (1996) examine firms that experience at least a decade of earnings
growth followed by a year of decline. Their test focuses on the dividend decision the year of
the earnings decline. They find no evidence that a dividend increase represents a reliable
signal of increased future earnings performance.
2.2.3 Dividends and Stock Return
The relationship between dividend increases and stock returns are also positive as has been
supported by (e.g. Charest, 1978; Kalay, 1985; and Nissim and Ziv, 2001). However, there
are researches contradicting these findings such as Alkebäck (1997) who over the period
1989 - 1994 could not find any support for dividend increases affecting the stock price on the
Swedish stock exchange.
An area where there is less conflicting evidence of the effect on stock returns is however once
again that of initiations and omission. Here there seem to be a positive relationship between
dividend initiations and increased stock returns and a negative one between dividend
omissions and stock returns. (Michaely, Thaler, and Womack, 1995)
Lastly, Eddy and Seifert (1988) have shown that abnormal returns for firms that increase their
dividends a lot are greater for smaller firms.
2.3 Critique against Earlier ResearchThere are a couple of studies that are similar to the one we intend to conduct, but none that is
identical.
Hersvall, Nilsson and Weibull (2008) examined the Swedish stock market by creating
different portfolios. They divided the market in to 5 quintiles and then put the companies that
increased their dividends the most into the fifth quintile. They then kept the portfolio in a
buy-and-hold strategy for 1 year, repeated the procedure and compared the return of the
stocks with the market index.
However, first of all they conducted all the transactions on the same date, even though
different stocks have different days when they announce their level of dividend payout. An
even larger error however was that they set the last day of June as their day to conduct the
transactions whereas the announcement day normally is in February. The study therefore
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didn`t capture the effect for the first 3-4 months and in our opinion becomes very flawed as
their presumed expectation then is that the market do not react for the first quarter of a year
following a dividend announcement. Brzeszczynski and Gajdka (2007) did a similar study on
the polish stock exchange with exactly the same flaw as they also measured from the last of
June each year. Lastly Elliot and Perman (2014) conducted a similar study but they also
conducted the transactions at dubious dates as they chose the last of May as the transaction
date for all their purchases.
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3. MethodologyThis chapter will describe the research methods used to answer the research questions posed
in the first section and thoroughly detail the data collection. The new take on abnormal
dividend increases as well as the definition thereof will be presented. Criticism and the
weaknesses of the research approach will also be discussed.
3.1 Research ApproachA wide variation of methods to examine the effect of dividend increases have been performed
and applied with varying results. The methods have varied depending on if the purpose was
to examine the effects of dividend increases on earnings or stock performance. This study
will examine both relationships and therefore it will be divided into two sub-studies, one
examining how abnormal dividend increases affect stock performance and the other
examining the effects of abnormal dividend increases on earnings. This will be achieved
through a quantitative study on dividend increases in the Swedish market.
3.2 Data Collection and Sample SelectionThe study will be conducted on the Stockholm Small, Mid and Large Cap between 2005 and
2015. Both sub-studies share the same original sample of firms, which can be seen in
Appendix A. Dead stocks, i.e. firms which for various reasons have been delisted during the
studied period, will be included in the stock performance study to increase reliability in the
empirical findings, but will not be included in the earnings study due to lack of time.
In order for a firm to be included in the original sample, the stocks need to fulfill the
following:
1. Be listed on Stockholm small, mid or large cap
2. Fiscal year end in December
3. Dividend is paid out once a year
If dividends are not paid in cash i.e. a firm paying stocks from another firm, it will not be
included as a dividend.
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Most of the data has been collected with the use of DataStream. In some cases DataStream
had limited data on the dividend announcement date and in those cases data were retrieved
from the website of the company.
Data collected from DataStream (variable code name in brackets):
Dividends per Share (DPS)
Announcement Date (DPSANCDT)
Special Dividends (WC05101)
Stock Prices (P)
Market Value at Year End (MV)
Net Income before Extraordinary Items (WC01551)
Data for the Fama French Three Factor Model (FF3FM) was collected from two different
sources. The European FF3FM data was collected from Kenneth French’s homepage. For the
Swedish FF3FM the data was gathered from Stefano Marmi’s, professor at Scuola Normale
Superiore di Pisa, homepage.
The FF3FM data variables included (Both European and Swedish):
Market Return
1-Month Treasury Bill Rate
Small minus Big Factor
High minus Low Factor
Each year starts by the date of the announcement. The announcement date is also needed in
order to calculate the monthly return of the stock. Each monthly return will end the same day
of the month as the announcement date, for example the 5th of February to the 5th of March,
except for the last examined month which will end the day before the following year’s
announcement date. This means that the stock price data had to be collected for the day of the
dividend announcement and also the day before the dividend announcement for all the years
between 2005 and 2016. When calculating the monthly returns, the dividend per share plus
the special dividend have been added to the stock price of April each year. The reason for the
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special dividends to be allocated in April is that most companies use this month to pay out
dividends (Bornold, 2016).
3.3 Defining Abnormal Dividend Increases and Dummy Variable CreationIn order to examine if and how abnormal dividend increases signal future stock performance
and/or earnings it is necessary to define an abnormal dividend increase. Since earlier research
mostly compared dividend increases against the market whereas this study intends to
compare dividend increases of a firm to its dividend history, it is necessary to create a
variable, which then defines an abnormal dividend increase. Therefore we intend to create a
set of dummy variables which all have different definitions of abnormal dividend increases
and then test whether any of the dividend increases send a signal. The dummy variables will
be created to detect different levels of abnormal dividend increases. The first dummy
variable, if the dividend has increased, is only considered to be a “regular dividend increase”,
whereas all the other dummy variables is considered to be “abnormal dividend increases”.
The size of the dividend increase will be calculated as:
(1) Dividend Increase=Dividend per sharet−Dividend per sharet−1
Dividend per sharet−1
When defining a dividend increase this study does not include special dividends in the
dividend per share.
3.3.1 Increase of Dividend
The first dummy variable is also the simplest, if the company has increased its dividend
compared to the previous year it will be included in the sample and receive a dummy value of
one. In order for any of the following dummy variables’ conditions to be answered this
definition has to be true as well. This variable has been widely used and tested by earlier
studies, it is however necessary to include it due to the reason that if a regular dividend
increase potentially signals any significant signal value found for the abnormal dividend
increases could be explained by this.
3.3.2 Larger Increase
The second dummy variable requires that the investigated year’s dividend increase is larger
than the previous year’s. If a firm increases the dividend by 10% each year, all of these
dividend increases would get the value 0 for this dummy variable, however if a 10% dividend
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increase would be followed by a 12% dividend increase, the 12% dividend increase would be
included in the sample. Since this definition compares growth to growth the dividend of the
previous two years will be necessary. If the data for dividend per share for any of the
previous two years are missing the dummy variable will automatically be zero.
3.3.3 Two-Year Average
Precisely as for the aforementioned dummy variables this definition requires that the dividend
data for the two previous years are present. If the dividend increase is larger than the previous
two-year’s average dividend increase, the requirements are met and the investigated company
and year will receive a dummy value of one. This variable is relevant in respect to the fact
that the last couple of years are most relevant as management probably has been the same
during this period and that this time period is freshest in the mind of investors and
management.
3.3.4 Five-Year Average
The requirements of this dummy variable is not far from the last mentioned, but since it is
comparing dividends with regards to the five-year average, and the first year with calculated
growth is 2005, the first year possible to meet all the conditions is 2010. The number of
observations will therefore be significantly fewer than for the other dummy variables.
3.3.5 Quartile
The last dummy variable has a more academic approach since it would not be possible to
replicate it practically as an investment. It requires that the dividend increase is among the
fourth quartile of both the company’s historical and known future dividend increases. There
is no restriction on how far back in time the dividends will be gathered, if DataStream has
data going back further than 2004 it will be included, otherwise data from 2004 will be the
starting point. This dummy variable is the only one that cannot be used as a portfolio strategy
and will only answer the question if the year following one of the company’s largest dividend
increases will result in a higher return than the market. The reason for its inclusion is that the
largest dividend increases in the firm history should have the highest signaling value if the
firms´ historical dividend policy is an important determiner of signaling value.
The quartile dummy variable incorporates the longest period of time for the dividend history
and could thus be argued is the most relevant one. But the fact that it contains such a long
period of time is simultaneously one of its shortcomings. If the company had a very
15
aggressive dividend policy under a certain management 20 years ago most of the
observations ending up in the highest quartile will then be during a time period that we do not
measure and thus will not be included in our sample. What happens then is that we do not
include these observations in the quartile and thus the effect becomes that we get a smaller
sample, not that we get a more erroneous one.
3.3.6 Defining the Dividend Increase Size of a Dividend Initiation
Since the percentage increase of a dividend initiation is not defined, calculating the average
dividend increase where a firm has initiated a dividend is not possible. Therefore we define a
dividend initiation i.e. when a firm pays a dividend following a year where they did not pay a
dividend, to a dividend increase of 2000 %. The number 2000 % is arbitrarily chosen and
could have been any extremely high number. The purpose is simply to make it in to the
largest increase possible for a certain stock, since earlier research has concluded that dividend
initiations are the strongest signal a firm can send.
3.4 Sub-Study 1: Abnormal Dividend Increases Effect on Stock Performance
3.4.1 Long-Horizon Event Study
In order to examine the effect of dividend increases on share price the most popular method is
the event study. Event study methodology is described by Mackinlay (1997) as when stock
performance is examined before as well as after an event and the returns between firms
experiencing an event to those not experiencing one are compared. This is usually done by
assessing it with cumulative abnormal returns in the days following the event. However this
study aims to examine stock performance the year following the event and thus the method
used will be a long-horizon event study where focus is somewhat different compared to a
normal event study.
In a long-term event study it is more important to control the abnormal returns for factors not
pertaining to the event since there could be and likely is more noise in one year abnormal
returns compared to daily abnormal returns (Kothari and Warner, 2006).
The two main approaches to a long term event study on abnormal returns are the Buy and
Hold Abnormal Return Approach or the Calendar Time Approach. This study will use the
Calendar Time Approach, which was first used by Jaffe (1974), to examine abnormal returns
16
following an event. Both methods are valid to use in order to examine long term returns and
both models suffer from bad-model problem to some extent (Fama, 1998). The reason for
using Calendar time approach is that it is more time efficient and in the opinion of the authors
easier to apply to this example.
In a Calendar Time Approach, portfolios are set up consisting of firms which go through the
event which is to be examined. The returns of the portfolio are then to be controlled for with
a model for expected returns such as CAPM or Fama French Three Factor Model (FF3FM).
Thereafter the portfolio is tested for whether there are abnormal returns present which the
model for expected returns cannot explain. The portfolio is rebalanced once a month to
include new firms which have gone through the event intended to be examined. The firms are
kept in the portfolio for the time period intended, therefore it follows that if the purpose is to
examine one year returns after an event, the firms going through the event are kept in the
portfolio for one year and then removed.
Essentially this study will put together five equally weighted portfolios, each based on a
different dummy variable defining abnormal dividend increases, and then regress the monthly
portfolio returns on the market and the two additional factors from the FF3FM using an OLS
regression. The intercept of the regression will denote if there are abnormal returns present.
This results in the following regression specification:
(2) RP,t−RF , t=α P+ βP ( RM ,t−RF ,t )+sP SMB+hP HML+εP ,t
RP = Monthly Portfolio Return
RF = The 1-Month Treasury Bill Rate
RM = The Monthly Return on a Value Weighted Index
SMB = The Difference in Returns between Small and Big Stocks
HML = The Difference in Returns between High and Low Book Equity/Market Equity
The alpha will then be tested to see if it is significantly different from zero, i.e. if there are
monthly returns, which cannot be explained by the FF3FM.
The reason we use FF3FM is that it better explains returns than CAPM (Fama & French,
1992), which is as earlier argued central when doing a long-horizon event study. The FF3FM
will be used twice, once with European market factors and once with Swedish market factors.
17
The Swedish regression is constrained to 2013 since we did not manage to retrieve data for
the factors for a longer time period, however the results could perhaps explain some returns
which the European factors might miss as stocks on the Swedish exchange are studied. The
reason for using both Swedish and European factors is due to a study performed by Griffin
and Lemmon (2002) where they found that local market factors better explain variation in
returns than global ones. However due to the limitations in data and time we decided to
perform a regression with European factors as well.
3.4.2 Firms Excluded from the Sample
The original sample included 354 companies (See Appendix A), but some of them were
found inadequate and were excluded from both sub-studies. Most of the companies which
were excluded from the stock performance tests were excluded because they were lacking
dividend payments for the examined period. Other reasons were for example; unavailable
information about the announcement day and no observed dividend increases. In total 210
companies were examined in the stock performance study (See Appendix B).
3.5 Sub-Study 2: Abnormal Dividend Increases Effect on Earnings Levels
3.5.1 Model Definition
This sub-study will use a similar model like the simpler model used by Benartzi, Michaely
and Thaler (1997). That model assumes earnings to follow a random walk and therefore any
earnings change is unexpected. Consequently the definition of unexpected earnings change in
the model is UE = Earningst-Earningst-1/(Market cap0). The study by Benartzi, Michaely and
Thaler divided dividend increases into quintiles depending on the size of the dividend
increase in percentage in comparison to the market. They then tested if average unexpected
earnings for dividend increasing stocks were significantly different from the average
unexpected earnings for non-dividend increasing stocks.
This paper will use the same type of model as the simple one used by Benartzi, Michaely and
Thaler (1997). However instead of dividing the dividend increases into quintiles determined
by size the dummy variables explained in section 3.3 will be used. Thereafter the average
unexpected earnings will be calculated for each dummy variable in either true or false states.
The unexpected earnings changes will be calculated for one year before the dividend
increase, the year following the dividend increase and then one year after the dividend
increase.
18
Benartzi, Michaely and Thaler (1997) used a two-tailed students t-test to infer if the average
earnings change was significant. This study will use a two-tailed Welch’s t-test, which is a
two-sample t-test for samples with unequal variances and size (Welch, 1947). It is possible
that the variance for firms increasing their dividends is different than those not increasing
which is why we choose this test.
The formula for the test is:
(3)T−stat=
(UETRUE )−(UE FALSE)
√ sTRUE2
NTRUE+
sFALSE2
N FALSE
The t-stat is then compared to the two-tailed t-distribution with v degrees of freedom.
(4) υ=( STRUE
2
NTRUE+
sFALSE2
N FALSE)
2
STRUE4
NTRUE2 ∗υTRUE
+SFALSE
4
N FALSE2 ∗υFALSE
υTRUE=N TRUE−1 υFALSE=N FALSE−1
With the help of a t-distribution a p-value will be retrieved which indicates on which level
there is a difference in the two samples.
3.5.2 Firms Excluded from the Sample
As in sub-study 1, the original sample consisted of 354 companies, however some were
excluded. Reasons for exclusion from the earnings tests were mostly due to earnings or
market value not being retrievable from DataStream or that the firm was delisted during the
study period. The earnings study included 279 companies (See Appendix C).
3.6 Criticism against Research Approach
3.6.1 Sub-Study 1
The main criticism against sub-study 1 is that the Swedish FF3FM data which will be used to
control the stock returns is constrained to 2013. This means that the observations will be
fewer for the Swedish market regressions which could affect the results. Secondly, the data
used for the Swedish FF3FM is secondary data from a less renowned source and thus the
19
reliability and to some extent the validity of the Swedish portfolio regressions are somewhat
weaker. Thirdly the use of European FF3FM is also not optimal as pointed out by Griffin and
Lemmon (2002) since the country specific factors better explain variation in returns than
regional or global data,
Fama (1998) argued that the use of Calendar Time Approach will suffer from three issues
which could lead to complications when inferring significance of abnormal returns.
1. Since the firms in the portfolio change through time, so do the estimates of the slopes
on the risk factors included to model expected returns
2. Since the number of firms change through time there is residual heteroscedasticity
3. Most importantly according to Fama (1998), the model for expected returns is not a
perfect story
Issue number one noted by Fama is definitely a necessary consideration when reviewing the
results. Issue number two has been accounted for and tested using Breusch-Pagan Godfrey
tests which can be seen in Appendices G and H. The third issue is something we attempt to
take into consideration by using both regional and country specific factors to model expected
returns for the portfolios.
However it can also be argued that the inclusion of additional risk factors, such as the
momentum factor which further explains variations in returns (Carhart, 1997), would better
model expected returns. We however believe that for the purpose of this study, the two
additional factors added by the Fama and French model from 1992 should be enough, since
FF3FM is still used in studies surrounding abnormal returns.
The rebalancing of the portfolio is also an aspect which can be criticized, since most of the
stocks are included in the middle of the month when the dividend increase is announced. This
could lead to that the model for expected return fails to account for all of the variation in
stock returns since the three factors “market”, “SMB” and “HML” are measured in the
beginning of each calendar month.
3.6.2 Sub-Study 2
The model used to predict earnings is rather simplistic in nature and relies heavily on the
assumption that earnings follow a random walk and therefore any change in earnings would
indicate an unexpected earnings change i.e. it would not be necessary to control for other
20
factors. In itself the assumption is perhaps not completely wrong; however it has been
questioned and also challenged by Fama (1998). Therefore, inference on earnings levels may
be incorrect, especially when judging if it signals informational content. However the
important inference to make is whether the dummy variables in some way predict an
increased future earnings level and to that end the model should still hold.
Another issue is that the study relies almost exclusively on second hand data which has been
retrieved from DataStream. Therefore, if there is an error in the data from DataStream, a
replication of this study with a different data source could yield different results.
Survivorship bias is also an issue for sub-study 2 as firms that were delisted during the study
period were not included. There is a possibility that firms which were delisted and therefore
not included could have increased dividends, but have been in more distress than firms which
were not delisted during the period. It should be said that distress and bankruptcy are not the
only reasons for a firm to be delisted as it could also have been acquired; however it is
something which needs to be considered.
3.6.3 Dummy Variables
The definition of abnormal dividend increases in regard to a firm’s earlier dividend increases
is somewhat arbitrary as earlier research has not been made in this area before. Therefore this
study is, to the knowledge of the authors, the first one using this definition for abnormal
dividend increases and therefore the validity and reliability of the measures can be
questioned. To mitigate as much of these potential problems as possible four different
definitions of abnormal dividend increases with respect to firm dividend policy will be tested.
21
4. Empirical Findings and AnalysisThis chapter will present the results from the research studies regarding earnings and stock
returns. The results will then be analyzed with the help of the theoretical frameworks
presented in chapter two.
4.1 Dividend Increases and ReturnsBelow are the results for the tests on how the dividend increases affected the stock value. The
tables are made up as follows: Dummy Increase demonstrates the portfolio consisting of
stocks which increased their dividends with any value. Dummy Larger Increase portfolio is
made up of stocks that have increased their dividends, in percent, more than the dividend
increase was the previous year. Dummy Two-Year Average is the portfolio consisting of
stocks which increased the dividends more than the average dividend increase the last two
years in percent. Dummy Five-Year Average shows the result of the portfolio consisting of
stocks with a dividend increase larger than the average dividend increase the last five years
and Dummy Quartile is the portfolio made up of stocks which made dividend increases in
that year which were in the highest quartile with respect to their dividend increase history.
The first dummy variable, if the dividend has increased, will further on in the text be referred
to as a “regular dividend increase”, whereas all the other dummy variables will be referred to
as “abnormal dividend increases”.
Table 1
European FactorsDummy Variable
α β s hIncrease Coefficient 0,8623 0,4563 1,0840 -0,1080
Prob. 0,0064 0,0000 0,0000 0,5222Larger Increase Coefficient 0,8174 0,4665 1,1130 -0,1042
Prob. 0,0164 0,0000 0,0000 0,5545Two-Year Avarage Coefficient 0,8781 0,4421 1,1550 0,0013
Prob. 0,0077 0,0000 0,0000 0,9928Five-Year Average Coefficient 0,9017 0,4131 0,8568 -0,1165
Prob. 0,0419 0,0001 0,0007 0,5931Quartile Coefficient 0,9919 0,4548 1,1505 -0,0947
Prob. 0,0024 0,0000 0,0000 0,5874
22
Table 2
Swedish FactorsDummy Variable
α β s hIncrease Coefficient 0,4885 0,6565 0,3066 -0,0845
Prob. 0,2066 0,0000 0,0027 0,6015Larger Increase Coefficient 0,5004 0,6695 0,3352 -0,0193
Prob. 0,2472 0,0000 0,0027 0,9179Two-Year Avarage Coefficient 0,5317 0,6577 0,3238 -0,0295
Prob. 0,2185 0,0000 0,0037 0,8745Five-Year Average Coefficient 0,3242 0,6238 0,1896 -0,3007
Prob. 0,6553 0,0002 0,3496 0,4005Quartile Coefficient 0,6281 0,6936 0,3351 -0,0400
Prob. 0,1120 0,0000 0,0013 0,8082
When looking at the abnormal returns of the dividend increase variables controlling for the
European market, there is a positive abnormal return for all variables on a 5 % level with the
regular dividend increase, two-year average and quartile dummies all significant on the 1 %
level. The differences between the alphas of the variables are quite small but the portfolio
based on the quartile variable shows the highest abnormal return. The portfolio, which
included stocks increasing the dividend more than the preceding year, was the portfolio
rendering the lowest abnormal return. However the differences between the variables are too
small to draw any conclusions regarding whether abnormal dividend increases better predict
stock price signaling than regular dividend increases. It can be seen however that the
portfolio based on the quartile dummy has the highest alpha and therefore the highest
estimated abnormal returns.
Looking at the portfolios controlling with the Swedish FF3FM model between 2005 and
2013, the results differ compared to when controlling with the European FF3FM. The
abnormal return for the portfolios controlled with the Swedish FF3FM averaged
approximately half the abnormal return compared to when controlled for with the European
FF3FM. Also, none of the alphas were significant when using the Swedish FF3FM. When
controlling the returns for the Swedish market and Swedish Fama and French factors the best
performing portfolio is once again the one containing firms chosen by the quartile variable. In
this test the portfolio based on companies which increased the dividend more than their five-
year average dividend increase performed worst. However, once again, the differences were
too small to draw any statistically significant conclusions.
23
To summarize, the test using the European FF3FM control variables showed a statistically
significant abnormal return for all the portfolios. The test using the Swedish FF3FM showed
a higher return than the market, but not a statistically significant abnormal return for any of
the portfolios. What needs to be taken into consideration is however that when controlling for
the Swedish FF3FM there were at most 96 observations as the data sample for the Swedish
FF3FM was for the years between 2005 and 2013. This does affect the p-values, but it is
unlikely that the results from the regressions would have been different if the sample period
had been the same as for the European FF3FM. Further on, no abnormal dividend increases
showed statistically significant abnormal returns. Lastly, even though the quartile variable
seems to have performed slightly better, we cannot find any stronger signaling value for
abnormal dividend increases compared to regular dividend increases.
The results do not unanimously confirm that the signal theory for dividends is prevalent on
the Swedish stock exchange. Our findings do not support our hypothesis that management
would send stronger signals to the market if they increase the level of dividends more than
they have historically done. Brav et al.’s (2005) findings that the majority of management
think that dividends convey information is thus not something that in practice is applicable to
abnormal dividend increases, at least not regarding future earnings or stock performance. One
possible reason for this is that management cannot regulate the strength of the signal to the
market as you either signal or you do not. Perhaps the larger dividend increases are instead
just due to a rare increased level of cash flow that results in an abnormal dividend increase.
An additional reason to why this result is interesting is that dividend initiations become a
larger fraction of the abnormal dividend increases than for the regular dividend increases.
This is because there are more observations contained in the regular dividend increase
sample, but both the regular dividend increase sample as well as the abnormal dividend
increase samples contain all initiations. This means that dividend initiations become a larger
part of the abnormal dividend increases than it becomes for the regular dividend increases. As
dividend initiations have proven several times to be associated with abnormal stock returns
this should have increased the return for the dummy variables compared to the regular
increases. Even though this is the case, the abnormal dividend increases could not indicate a
better result than that of the regular increases.
Stemming from the findings of La Porta et al (2000) and further developed by Grullon &
Michaely (2012), another potential reason could be that countries with large institutional
24
investors do not take as much consideration to dividends as countries with dispersed
ownership do (La Porta et al, 2000). Companies with a dispersed ownership would in theory
want to overcome the agency problem by sending stronger signals to the market because a
dispersed ownership structure leads to less scrutinization of the company. From the American
stock exchange, a country with a relatively dispersed ownership structure, there has been
evidence that larger dividend increases also lead to larger abnormal stock returns.
Scandinavian countries do, however, have a less dispersed ownership structure (La Porta
2000). Merging this fact with the theories, once again, found in La Porta et al (2000) could be
one of the explanations to why the abnormal dividend increases did not perform better than
the regular dividend increases on the Swedish stock exchange. It is simply more important to
overcome the informational asymmetry on the American stock exchange as investors
themselves conduct less scrutinization. The question whether the portfolios formed based on
the dummy variables would perform better than regular dividend increases in countries with a
more dispersed ownership is something that future research would have to bring clarity to.
One advantage with analyzing the Swedish stock exchange regarding dividends is that it is
possible to look at how an event will affect the following four quarters. In the US for
example, where most prior research has been conducted, dividends are paid each quarter.
This means that the effect of a dividend decision is harder to study beyond a quarter as the
next dividend decision will influence the results. The findings from the quarterly return over
the 10 years are as follows:
Table 3
Quarter Increase Larger Increase
Increase Two–Year Average
Increase Five-Year Average
Increase Quartile Market
Q1(Mar-May) 2,70% 3,16% 3,33% 2,37% 3,09% 1,85%Q2(Jun-Aug) -0,70% -1,24% -1,24% -0,72% -0,69% -0,72%Q3(Sep-Nov) 0,37% 0,14% 0,18% 0,66% 0,57% 0,15%Q4(Dec-Feb) 2,30% 2,22% 2,14% 2,97% 2,23% 1,21%
All returns in the table are the average monthly return during the quarter specified
As the sample is made up of only 33 observations for each quarter it is hard to draw any
statistically significant conclusions from the sample. However, there seems to be a pattern
that quarter 1 and quarter 4 are performing better for the dividend increase portfolios, even if
the quarterly market returns are subtracted. If there had been better results only for the quarter
following the dividend announcement, one could argue that there is a three-month drift in the
25
price reaction after the dividend announcement is made which thereafter fades away.
However, as the last quarter is performing almost as good as the first this reasoning seems
invalid. The reason for the improved performance in the fourth quarter is unclear, but perhaps
investors expect that a large earnings increase accompanied by a large dividend increase will
follow. As such, investors start to incorporate this into the stock price. This is however pure
speculation by the authors of this paper.
4.2 Dividend Increases and EarningsBelow are the statistics for the earnings sub-study. Table 4 describes how much earnings
increased/decreased scaled by market value and table 5 shows the t-stat and p-value for the
different tests. The label “true” comprises the stocks included in the dummy variable while
the stocks labeled “false” contain the result for the ones which were not included in the
dummy variable.
Table 4
Earnings Tests Year -1 Year 0 Year +1Dummy Increase T-stat 3,2926 -1,8817 -1,3450
P-value 0,0010 0,0600 0,1788D.F. 1888 2110 2062
Dummy Larger Increase T-stat 3,6180 -1,5757 -1,1054P-value 0,0003 0,1156 0,2692D.F. 994 573 1284
Dummy Two-Year Average T-stat 4,1763 -2,1949 -1,9101P-value 0,0000 0,0283 0,0565D.F. 762 1503 852
Dummy Five-Year Average T-stat 2,9195 -1,3097 -0,7294P-value 0,0037 0,1908 0,4663D.F. 493 660 349
Dummy Quartile T-stat 3,4250 -2,5882 -1,5302P-value 0,0007 0,0102 0,1267D.F. 276 249 415
Table 5
Earnings Stats Year-1 Year 0 Year +1Dummy Increase - True 2,89% -0,10% 0,25%Dummy Increase - False -0,33% 1,68% 1,60%Dummy Larger Increase - True 3,89% 0,05% 0,07%Dummy Larger Increase - False 0,12% 1,39% 1,19%Dummy Two-Year Average - True 4,60% -0,59% -0,88%Dummy Two-Year Average - False -0,09% 1,31% 1,26%
26
Dummy Five-Year Average - True 4,55% 0,12% 0,30%Dummy Five-Year Average - False 0,83% 1,55% 1,36%Dummy Quartile - True 5,76% -1,70% -0,62%Dummy Quartile - False 0,25% 1,29% 1,30%
The results for the year before the dividend increase are quite apparent, there is a clear pattern
of increased earnings. Of all the variables, the regular dividend increase had the lowest
earnings level change the year before the dividend increase and the quartile dummy had the
highest earnings level change. The difference is quite large as the earnings level increase for
the quartile dummy is more than twice the size of the regular dividend increase. There is in
fact quite a large difference between all the abnormal dividend increases and the regular
dividend increase.
The year of the dividend increase did render in less apparent results than the year prior to the
increase, but a pattern could still be discerned. For all the variables, including the regular
increases, the companies that did not increase their dividend performed better in respect to
earnings on a 10 % level for all variables except for the five-year average dummy variable
which did not show any significant results. The year after the dividend increase has a similar
pattern to the year of the dividend increase. All variables, once again, show that the firms,
which did not increase their dividends, had a better earnings development compared to those
that did increase their dividends regardless of the type of variable. The results were, however,
not as clear and they were only statistically significant for the two-year average variable. The
fact that the results were worse for earnings the year of the increase compared to the year
after is quite interesting. This indicates that management does not signal better earnings
performance even in a shorter perspective.
The results are in line with most prior studies such as Benartzi, Michaely and Thaler (1997).
Our study is thus another one going against the findings of Nissim and Ziv (2001) who found
that increased dividends signal an increase in future earnings. One of the more notable results
from our study is that the year prior to the dividend increase earnings had increased more for
the abnormal dividend increases than for the regular dividend increases, but less the two
years after the increase. The results show that dividend increases that positively diverge from
the history of the company do not correspond to increased future earnings, but instead to
increased prior earnings. Signaling theory states that it should be the other way around. The
authors of this paper hypothesized beforehand that future earnings would be greater the
27
bigger the increase in dividends had been compared to historical dividend increases, but
instead the results show the opposite.
These findings support the theory that firms paying abnormal dividend increases just intend
to pay out their extra cash flow that have resulted from abnormal earnings increases. It also
supports the notion earlier, described by Miller (1987), that dividends are better described as
lagging earnings than as a predictor of future earnings. The results are further on in line with
the theory of Jensen’s free cash flow hypothesis that management wants to reduce wasteful
spending as earnings increase.
If we look at the results through the lens of Akerlof’s theory on adverse selection and assume
that dividend increases would be a way to signal that it is a good company and not a bad one,
perhaps the signal a dividend increase sends should be compared to the dividend increases of
the entire market and not the company. Since a certification should be hard to mimic it is
perhaps irrelevant how much the dividend increase diverges from the firms’ earlier dividend
increases. Instead the more important aspect could be how big the dividend increase and the
signal is compared to the dividend increases of the entire market.
In regards to sticky dividends the results do not contradict the theory. The companies that do
abnormal dividend increases do not show future earnings increases, which they experienced
the year before the dividend increase. The dummy increase, the dummy five-year average and
the dummy larger increase, which had the lowest amount of earnings increase before the
dividend increase, manage to maintain their newly achieved earnings level. However the
dummy two-year average and the dummy quartile increases, which followed the largest
earnings increases, were followed by a two year decline in earnings. Thus sticky dividends
could perhaps be questioned as a firm which experiences earnings decline would in the future
possibly have to cut dividends. However, it could also be that sticky dividends still hold and
that firms’ management making the most abnormal dividend increases suffered from
excessive optimism and/or overconfidence when increasing the dividend levels.
Our research does not contradict that the market would behave in a semi-strongly effective
way regarding stock returns after dividend increases. In our study we do not include the
returns corresponding to the day of the announcement, which means that any abnormal return
thereafter would have been due to the market not being effective. But as our study could not
unanimously find any evidence of this being the case no conclusion can be drawn about the
lack of effectiveness of the market in Sweden.
28
5. Concluding DiscussionThis chapter will summarize the results from chapter four in light of the research questions
posed in chapter one. The authors of this paper will discuss the potential reasons for the
results and give recommendations on future research questions which were found during the
study.
5.1. DiscussionThe purpose of this thesis was to examine if dividend increases, which are large in
comparison to a firm’s historical dividend increases, indicate better future performance. In
order to investigate this, our research questions were: “How do dividend increases that are
large, compared to the firms’ historical dividend policy, signal future stock performance on
the Swedish market?” and “How do dividend increases that are large, compared to the firms’
historical dividend policy, signal future earnings on the Swedish market?”.
The most important finding of our research is that dividend increases diverging from the
history of the company do not result in abnormal stock returns compared to regular dividend
increases. This can conclude that the signal to the market does not get stronger even if the
dividend increase is larger than the historical dividend increases have been. The reason for
the abnormal dividend increases should thus be searched for elsewhere.
As earnings increase significantly the year before the abnormal dividend increase it is highly
likely that management simply has made increased profits and deem that the best course of
action is to pay out parts or all of these large profits in dividends. The possibility that the
abnormal dividend increases are made with the intention by management to send a stronger
signal to the market cannot be supported by our findings. The authors of this paper
hypothesized in the problem discussion that a stronger signaling value would be found with
the new definition of an abnormal dividend increase compared to earlier research, which
mainly looked at large increases compared to the market. Perhaps the dividend increases that
positively diverge from the company history did not have the effect that we expected. In light
of the theories of Akerlof (1970), that a signal must be credible and hard to mimic, the
dividend increase might need to be compared to the market instead of the company’s history.
It could be that it is more difficult to diverge from the dividend increases of the market
30
compared to deviating from the firm’s own history and thus the signal when diverging from
the market would be stronger.
Furthermore, there are observed differences between the stocks that increase their dividends
and the ones that do not, just not unanimously statistically significant ones. Thus, the
conclusion to draw from this thesis is not to avoid an investment strategy building on
dividend increases, but neither is it that you surely can beat the market by adopting this way
to invest. However, to build the strategy on large dividend increases diverging from the
history of the company does not seem to be a better strategy than investing in stocks that do
regular dividend increases. The portfolio that performed the best, the quartile portfolio, is
made purely in an academic purpose as it is impossible to replicate it for an investor and is
thus not relevant as an investment strategy. The other variables showed a performance very
closely related to the regular dividend increases.
The signaling values for future earnings were unanimously not supported by our research.
The earnings increases seemed to be smaller the two years following the dividend increase
for the stocks that increased their dividends than for the ones that did not. Therefore, like
much prior research, it can be concluded that dividend increases seem to indicate lagged
earnings instead of future ones. Hence, the possibly better performance of stocks cannot be
explained by increased earnings, but, perhaps, rather in line with the research by Grullon,
Michaely and Swaminathan (2005), i.e. due to a decreased risk premium for the stocks.
A reason that could have affected the significance of the results is that our research was
limited to the years between 2005 and 2015; a longer study period could have given more
conclusive results. This pertains especially to whether the dividend increases per se resulted
in an abnormal return as all variables showed an abnormal return, but not unanimously
statistically significant result. However, it is not likely that it would have affected the main
topic of this paper, as to whether stocks with abnormal dividend increases perform better than
stocks with regular dividend increases. The difference between the regular dividend increases
and the dividend increases diverging from the history of the company are likely not a
question of statistical significance, but rather lack of existence.
5.2 Future researchThe subject of dividends has for a long time been a heavily researched topic. Our research
could not find any conclusive results in support of our research questions, but the results of
31
the sub-studies could still be of value. A more rigorous test of the effect for the different
quarters with a larger sample could be an interesting aspect to test. A more detailed study of
how long the possibly positive effect of dividend increases sustains for stock returns could be
of interest for a potential investor. In a shorter perspective it is very possible that investors
could achieve an abnormal return on the Swedish stock exchange when buying stocks that
have experienced abnormal dividend increases, as our sample indicated that the first quarter
and fourth quarter performed better than the second and third quarters.
Future research could further on through our sample investigate if there is a difference
between small and big companies when it comes to the effect of dividend increases that are
larger than what has been the norm historically. Eddy and Seifert (1988) have shown that
larger dividend increases are associated with larger stock returns for small companies
compared to big companies. It is possible that this would be the case for dividends diverging
from the history of the company as well and perhaps the effect would be even larger for small
companies increasing their dividend in this way. The companies that are most likely to pay
out dividends are, in line with the maturity hypothesis, large companies. It is consequently
rarer for small companies to pay out dividends. Perhaps the effect of dividends increases
would therefore become more significant for small stocks.
32
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IV
Data Sources:
DataStream (Thomson Reuters)
Stefano Marmi
http://homepage.sns.it/marmi/Data_Library.html#Sweden
Kenneth French
http://mba.tuck.dartmouth.edu/pages/faculty/ken.french/data_library.html (Fama/French
European 3 Factors)
V
Appendices
Appendix A – Original Company SampleCompany SampleAARHUSKARLSHAMN EAST CAPITAL EXPLORER LINDAB INTERNATIONAL ROTTNEROSABB LTD N (OME) ELANDERS LINDEX DEAD - 21/01/08 SAABACADEMEDIA DEAD - 10/09/10 ELECTRA GRUPPEN LUCARA DIAMOND (OME) SAGAXACANDO ELECTROLUX LUNDIN GOLD (OME) SAK I DEAD - 04/07/11ACAP INVEST DEAD - 27/11/14 ELEKTA LUNDIN MINING SDB SALUS ANSVAR
A-COM DEAD - 01/02/13ELEKTRONIKGRUPPEN BK DEAD - 28/09/11 LUNDIN PETROLEUM SANDVIK
ACSC DEAD - 31/12/07 ELOS MEDTECH LUXONEN SDB SARDUS DEAD - 30/04/07
ADDNODE ELTELMALMBERGS ELEKTRISKA SAS
ADDTECH ENDOMINESMAXIM PHARMS (OME) DEAD - 02/01/06 SCA
AF ENEA MEDASCAN MIN. DEAD - 10/12/07
AFFARSSTRA. DEAD - 01/02/10 ENIRO MEDCAP SCANDI STANDARD
AFRICA OIL (OME) ENQUEST (OME)MEDICOVER HOLDING SDB DEAD - 08/12/06
SCANDIC HOTELS GROUP
AINAX DEAD - TAKEOVER 870812
ENTRACTION HOLDING DEAD - 01/08/11 MEDIVIR SCANIA DEAD - 06/06/14
ALFA LAVAL EOLUS VIND B MEKONOMENSEAMLESS DISTRIBUTION
ALIMAK GROUP EPISURF MEDICAL MERTIVA SEBALLTELE ALLM.SVEN.TELAB ERICSSON
METRO INTL.SDB DEAD - 01/06/12 SEB 'C'
ANOTO GROUP ETRION (OME) MICRO SYSTEMATIONSECO TOOLS DEAD - 05/02/12
ARCAM EWORK GROUP MIDSONA SECTRAARCTIC PAPER (OME) FABEGE MIDWAY HOLDINGS SEMAFO (OME)ARISE FAGERHULT MILLICOM INTL.CELU.SDR SEMCONARTIMPLANT DEAD - 02/08/13 FAST PARTNER MOBERG PHARMA SENEA DEAD - 27/12/06ASSA ABLOY FASTIGHETS BALDER MODERN TIMES GP.MTG SENSYS GATSO
ASTRAZENECA (OME)FAZER KONFEKTYR SERVICE DEAD - 26/01/09
MODUL 1 DATA DEAD - 14/03/11 SIGMA B DEAD - 22/05/13
ATLAS COPCO FEELGOOD SVENSKA MQ HOLDING SINTERCAST
ATRIUM LJUNGBERG FENIX OUTDOOR INTL MSC GROUPSKANDIA FORSAKRINGS DEAD - 06/06/06
AUDIODEV DEAD - 18/06/09FINNVEDEN DEAD - DEAD 21/02/05 MULTIQ INTERNATIONAL
SKANDITEK INDRI.FRV. DEAD - 25/01/10
AVAILO DEAD - 07/07/14 FORMPIPE SOFTWARE MUNKSJO (OME) SKANSKAAVANZA BANK HOLDING G5 ENTERTAINMENT MUNTERS SKFAVEGA GROUP GAMBRO DEAD - 20/07/06 MYCRONIC SKISTAR
AXFOOD GETINGENAN RESOURCES DEAD – T/O SOFTRONIC
AXIS GEVEKO DEAD - 16/09/15NARKES ELECTRISKA DEAD - 03/11/06 SPORTAMORE
B&B TOOLS GHP SPECIALTY CARE NCC SSABBALLINGSLOV INTL. DEAD - 13/12/08
GLOCALNET DEAD - T/O BY 255248 NEDERMAN HOLDING
STOCKWIK FORVALTNING
BE GROUPGORTHON LINE DEAD – MERG NEFAB DEAD - 03/12/07 STORA ENSO 'R'
BEIJER ALMA GUNNEBO NEONET DEAD - 08/06/10STRALFORS DEAD - 19/06/06
BEIJER REF AB HALDEX NET INSIGHT STRAXBERGS TIMBER HAVSFRUN INVESTMENT NETENT STUDSVIKBESQAB PROJEKT & FASTIGH HEBA
NETONNET DEAD - 11/04/11 SWECO
VI
BIACORE INT DEAD - 13/09/06 HEMFOSA FASTIGHETER NEUROVIVE PHARMA. SWEDBANKBILIA HENNES & MAURITZ NEW WAVE GROUP SVEDBERGS I DALSTORPBILLERUD KORSNAS HEXAGON NGEX RESOURCES (OME) SWEDISH MATCHBIOINVENT INTL. HEXATRONIX GROUP NIBE INDUSTRIER SWEDISH ORPHAN BIO.BIOLIN SCI DEAD - 23/02/11 HEXPOL NILORNGR DEAD -01/07/09 SWEDOLBIOPHAUSIA DEAD - 26/07/11 HIFAB GROUP NOBIA SVENSKA HANDBKN.BIOTAGE HIQ INTERNATIONAL NOBINA SWITCHCOREBLACK EARTH FARMING SDB
HL DISPLAY DEAD - 20/09/10 NOKIA (OME) SVOLDER
BLACKPEARL RES. SDR HMS NETWORKSNOKIA SDB DEAD - 04/06/07 SYSTEMAIR
BOLIDEN HOGANAS DEAD - 21/10/13 NOLATOTECHNOLOGY NEXUS DEAD - 28/09/09
BONG HOIST FINANCE NORDAX GROUP TELE2
BORAS WAFVERI HOLMEN NORDEA BANKTELELOGIC DEAD - T/O BY 906187
BOULE DIAGNOSTICS (WI)HOME PROPERTIES DEAD - DEAD 11/05/09 NORDIC MINES TELIA COMPANY
BRAVIDA HOLDING HQ NORDNETTELIGENT DEAD - 04/11/08
BRINOVA FASTIGHETER DEAD - 24/09/12 HQ FONDER DEAD - 26/10/05 NOTE THULE GROUPBRIO DEAD - 13/06/11 HUFVUDSTADEN 'C' NP3 FASTIGHETER TIC. TR. DEAD - 12/04/10BROSTR. DEAD - 02/03/09 HUSQVARNA OASMIA PHARMA. TIETO CORP. (OME)BTS GROUP I A R SYSTEMS GROUP ODD MOLLY INTL. TIVOX DEAD - 26/08/05
BUFABIAR SYSTEMS DEAD - T/0 690556 OEM INTERNATIONAL TOBII AB
BULTEN IBS DEAD - 01/09/11 OPTIMAIL DEAD - 24/01/06 TRACTIONBURE EQUITY ICA GRUPPEN OPUS GROUP TRADEDOUBLERBYGGMAX GROUP IMAGE SYSTEMS ORC GR. DEAD - 12/03/12 TRANSCOM WW
CAPIO INDL.& FINL.SYS. ORESUND INVESTMENTTRANSCOM WWD.SDB.A DEAD - 25/11/14
CAPIO DEAD - 20/11/06 INDUSTRIVARDEN OREXO TRELLEBORGCARDO DEAD - 26/04/11 INDUTRADE ORIFLAME HOLDING TRENTIONCASHGUARD DEAD - MERGED 257541
INTENTIA INTL. DEAD - T/O 14746M ORTIVUS
TRICORONA DEAD - 23/08/10
CATELLA INTRUM JUSTITIA OSCAR PROPERTIES TRIGON AGRI
CATENA INVESTOROXIGENE (OME) DEAD - 01/07/10
TRIO INFO.SYSTEMS DEAD - 14/08/06
CAVOTEC INWIDO PANDOX TROAX GROUP
CELLAVISION INVISIO COMMUNICATIONSPARTNERTECH DEAD - 20/07/15 TURNIT DEAD - T/O
CISION DEAD - 25/08/14 ITAB SHOP CONCEPT PEAB TV4 DEAD - 05/03/07
CLAS OHLSONJEEVES INFO.SYSTEMS DEAD - 22/06/12 PERGO DEAD - 02/04/07 UNIBET GROUP SDB
CLX COMMUNICATIONS JM PLATZER FASTIGHETER UNIFLEXCOLLECTOR KABE HUSVAGNAR POOLIA WALLENSTAM
COM HEM HOLDINGS KAPPAHLPOWERWAVE TECH. (OME) DEAD - 10/06/06 VBG GROUP
CONCENTRIC KARO PHARMA PRECISE BIOMETRICS VICTORIA PARK
CONCORDIA MARITIMEKAROLIN MACHINE TOOL DEAD - 04/02/08 PREVAS VICTORIA PARK B
CONSILIUMKAROLINSKA DEVELOPMENT (WI) PRICER
WIHLBORGS FASTIGHETER
COREM PROPERTY GROUPKAUPTHING BANK DEAD - 10/12/08 PROACT IT GROUP VIKING SUPPLY SHIPS
C-RAD KINNEVIK PROBI WISE GROUPCUSTOS DEAD - 02/01/07 KLIPPAN DEAD - 05/05/06 PROFILGRUPPEN VITEC SOFTW. GR.CYBERCOM GROUP EUROPE DEAD - 04/01/16 KLOVERN
PROTECT DATA DEAD - 13/02/07 VITROLIFE
D CARNEGIE & CO DEAD - 24/12/08 KLOVERN QLIRO GROUP VLT DEAD - 03/11/08DEDICARE KNOW IT RATOS WM-DATA DEAD - T/ODGC ONE KUNGSLEDEN RAYSEARCH LABS. VOLVODIN BOSTAD SVERIGE DEAD - 30/09/09 LAGERCRANTZ GROUP RECIPHARM AB
VOSTOK GAS SDB DEAD - 02/02/09
VII
DOMETIC GROUPLAMMHULTS DESIGN GROUP REJLERS B VOSTOK NEW VENT. SDR
DORO LATOUR INVESTMENT RESCO DEAD - 19/04/06 XANO INDUSTRI
DUNI LB ICON DEAD - 27/07/06 REZIDOR HOTEL GROUPXPONCARD DEAD - 20/06/08
DUROCLEDSTIERNAN DEAD - 17/05/10
RIDDARH. RES. DEAD - 28/11/05
DUSTIN GROUP LIFCO B RETAIL AND BRANDS
VIII
Appendix B – Included Companies Stock Performance TestsCompanies Incl Stock Perf. TestsAVEGA GROUP HEXAGON ORESUND INVEST. AUDIODEV 'B' DEAD - 18/06/09
ELECTROLUX NCCTELIA COMP./TELIAS AVAILO DEAD - 07/07/14
BE GROUP HEXPOLORIFLAME HOLDING AXIS
BEIJER ALMA HIQ INTERNATIONAL PEABBALLINGSLOV INTL. DEAD - 13/12/08
BEIJER ELECTRONICS HMS NETWORKS POOLIA BOSS MEDIA DEAD - 21/04/08BEIJER REF HOLMEN PREVAS BROSTROM DEAD - 02/03/09BILLERUD KORSNÄS IAR SYSTEMS GROUP PROBI CARDO DEAD - 26/04/11CATENA KUNGSLEDEN SENSYS GATSO CISION DEAD - 25/08/14BILIA HUSQVARNA PROACT IT GROUP D CARNEGIE & CO DEAD - 24/12/08DUNI MIDWAY HOLDINGS SWECO DAGON DEAD - 11/06/12EAST CAP. EXPL. MTG SWEDISH MATCH DIN BOSTAD SV DEAD - 30/09/09
BIOGAIA ICA GRUPPEN PROFILGRUPPENFAZER KONFEKT SER. DEAD - 26/01/09
BIOTAGE INDL. & FINL. SYS. RATOS FENIX OUTDOOR 'B' DEAD - 07/07/14BJORN BORG INDUTRADE RAYSEARCH LABS. GAMBRO 'A' DEAD - 20/07/06BOLIDEN INTELLECTA REJLERS B HL DISPLAY 'B' DEAD - 20/09/10BONG INTRUM JUSTITIA REZIDOR HOT. GR. HOGANAS 'B' DEAD - 21/10/13BETSSON HUFVUDSTADEN PRICER HOME PROP. - DEAD 11/05/09BOULE DIAGNOSTICS INVESTOR ROTTNEROS IBS 'B' DEAD - 01/09/11
BTS GROUP ITAB SHOP CONCEPT SAABJEEVES INFO.SYSTEMS DEAD - 22/06/12
BUFAB JM SAGAX KARLSHAMNS DEAD - 14/11/05
BULTEN KABE HUSVAGNAR SANDVIKKAROLIN MACHINE TOOL DEAD - 04/02/08
BURE EQUITY KINNEVIK SECURITAS NEFAB 'B' DEAD - 03/12/07BYGGMAX GROUP KLOVERN SEMAFO NEONET DEAD - 08/06/10
CASTELLUM KNOW IT SEMCONNOBEL BIOCARE (OME) DEAD - 12/05/08
CELLAVISIONLAMMHULTS DESIGN GROUP SINTERCAST OMX DEAD - 05/05/08
COMHEM HOLDINGS LATOUR INVESTMENT SEB ORC GROUP DEAD - 12/03/12CONCENTRICS LINDAB INT. SKANSKA PARTNERTECH DEAD - 20/07/15CONCORDIA MARITIME LOOMIS SKF PROFFICE 'B' DEAD - 22/02/16CONSILIUM LUNDBERGFOR. SOFTRONIC PROTECT DATA DEAD - 13/02/07COREM PROP. GR. MALMBERGS ELEK SSAB Q-MED DEAD - 28/03/11CTT SYSTEMS MEDA STORA ENSO READSOFT 'B' DEAD - 06/10/14DEDICARE MEKONOMEN STUDSVIK SCANIA 'B' DEAD - 06/06/14DIOS FASTIGHETER MICRO SYSTEMATION SCA SECO TOOLS 'B' DEAD - 05/02/12DORO MIDSONA SV. HANDBKN. SIGMA B DEAD - 22/05/13DGC ONE MELKER SCHORLING SVEDB. I DALS SKANDIA FORS DEAD - 06/06/06
DUROC MILLICOM INTL.CELU. SWEDBANKSKANDITEK INDRI.FRV. DEAD - 25/01/10
ELANDERS MSC GROUP SWEDOL TRICORONA DEAD - 23/08/10ELECTRA GRUPPEN MYCRONIC TELE2 TV4 'A' DEAD - 05/03/07AARHUSKARLSHAMN FABEGE NOBIA UNIBET GROUPABB FAGERHULT NOKIA UNIFLEXACANDO FAST PARTNER NOLATO VBG GROUPADDNODE FASTIGHETS BALDER NORDEA VIKING SUPPLY SHIPSAF FEELGOOD SVENSKA NORDNET VITEC SOFTWARE GROUPALFA LAVAL FORMPIPE SOFTWARE NOTE VITROLIFEELOS MEDTECH NEDERMAN HOLDING TIETO CORP. VLT 'B' DEAD - 03/11/08ALLTELE GETINGE NOVESTRA VOLVO
IX
ALLM.SVEN.TELEABASSA ABLOY GUNNEBO NOVOTEK WALLENSTAMATRIUM LJUNGBERG HALDEX ODD MOLLY INTL. WIHLBORGS FASTIGHETER
AUTOLIV HEBAOEM INTERNATIONAL WISE GROUP
AVANZA BANK HOLD. HENNES & MAURITZ OPUS GROUP XANO INDUSTRIENIRO NETENT TRACTION XPONCARD DEAD - 20/06/08
ERICSSON NEW WAVE GROUP TRADEDOUBLER
EWORK SCANDINAVIA NIBE INDUSTRIER TRELLEBORG
X
Appendix C – Included Companies Earnings TestsCompanies Incl. Earnings TestsAARHUSKARLSHAMN DEDICARE KINNEVIK PROFILGRUPPENABB DGC ONE KLOVERN QLIRO GROUPACANDO DIOS FASTIGHETER KNOW IT RATOSACTIVE BIOTECH DOMETIC GROUP KUNGSLEDEN RAYSEARCH LABS.ADDLIFE DORO LAGERCRANTZ GROUP RECIPHARM ABADDNODE DUNI LAMMHULTS DES. GR. REJLERS BADDTECH DUROC LATOUR INVESTMENT RESURS HOLDINGAF DUSTIN GROUP LIFCO B REZIDOR HOTEL GROUPAFRICA OIL EAST CAP. EXPL. LINDAB INT. RETAIL AND BRANDSALFA LAVAL ELANDERS LOOMIS ROTTNEROSALIMAK GROUP ELECTRA GRUPPEN LUCARA DIAMOND SAABALLTELE ALLM.SVEN.TELEAB ELECTROLUX LUNDBERGFORETAGEN SAGAXANOTO GROUP ELEKTA LUNDIN GOLD INC SANDVIKARCAM B ELOS MEDTECH LUNDIN MINING SDB SASARCTIC PAPER ELTEL AB LUNDIN PETROLEUM SCAARISE AB ENDOMINES MALMBERGS ELEKT. SCANDIC HOTELSASSA ABLOY ENEA MEDA SCANDIC STANDARDASTRA ZENECA ENIRO MEDCAP SEAMLESS DISTR.ATLAS COPCO ENQUEST MEDIVIR B SEBATRIUM LJUNGBERG EOLUS VIND MEKONOMEN SECTRAATTENDO EPISURF MEDICAL MELKER SCHORLING SECURITASAUTOLIV ERICSSON MICRO SYSTEMATION SEMAFOAVANZA BANK HOLD. ETRION CORP MIDSONA SEMCONAVEGA GROUP EWORK SCAND. MIDWAY HOLDINGS SENSYS GATSOAXFOOD FABEGE MILLICOM INTL.CELU. SINTERCASTB&B TOOLS FAGERHULT MOBERG PHARMA SKANSKABACTIGUARD HOLD FAST PARTNER MODERN TIMES GP.MTG SKFBE GROUP FASTIGHETS BALDER MQ HOLDING SKISTARBEIJER ALMA FEELGOOD SVENSKA MSC GROUP SOFTRONICBEIJER ELECTRONICS FENIX OUTDOOR MULTIQ INT. SPORTAMOREBEIJER REF FINGERPRINT CARDS MUNKESJO(OME) SSABBERGS TIMBER FORMPIPE SOFT. MYCRONIC STOCKWIK FORVALT.BESQAB P G5 ENTERTAINMENT NCC STORA ENSOBETSSON GARO NEDERMAN HOLDING STUDSVIKBIOGAIA GRANGES NEUROVIVE PHARMA. SVEDBERGS I DALST.BLACK EARTH FARMING HEBA NOBIA SVENSKA HANDBKN.BILIA GETINGE NET INSIGHT B SWECOBILLERUD KORSNÄS GLOBAL HEALTH P. NETENT SWEDBANKBIOINVENT INTL. GUNNEBO NEW WAVE GROUP SWEDISH MATCHBIOTAGE HALDEX NGEX RESOURCES SWEDISH ORPHAN BIOBJORN BORG HANSA MEDICAL NIBE INDUSTRIER SWEDOLBLACKPEARL RES. HEMFOSA NOBINA SYSTEMAIRBOLIDEN HENNES & MAURITZ NOKIA TELE2BONG HEXAGON NOLATO TELIA COMP/TELIASBOULE DIAGNOSTICS HEXATRONIX GROUP NORDAX GROUP TETHYS OILBRAVIDA HOLDING HEXPOL NORDEA THULE GROUPBTS GROUP HIQ INTERNATIONAL NORDIC MINES TIETO CORPORATIONBUFAB HMS NETWORKS NORDNET TOBII ABBULTEN HOIST FINANCE NOTE TRACTIONBURE EQUITY HOLMEN NOVESTRA TRADEDOUBLERBYGGMAX GROUP HUFVUDSTADEN NOVOTEK TRANSCOM WORCAMURUS HUMANA NP3 FASTIGHETER TRELLEBORGCAPIO HUSQVARNA OASMIA PHARMA TRENTIONCASTELLUM IAR SYSTEMS GROUP ODD MOLLY INTL. TRIGON AGRICATENA ICA GRUPPEN OEM INTERNATIONAL TROAX GROUP
XI
CAVOTEC IMAGE SYSTEMS OPUS GROUP UNIBET GROUPCELLAVISION INDL. & FINL. SYS. ORESUND INVEST UNIFLEXCLOETTA INDUTRADE ORIFLAME HOLDING VBG GROUPCLX COMMUNICATIONS INTELLECTA ORTIVUS A VENUE RETAIL GROUPCOLLECTOR INTRUM JUSTITIA OSCAR PROPERTIES VICTORIA PARKCONCENTRICS INWIDO PEAB VIKING SUPPLY SHIPSCONSILIUM ITAB SHOP CONCEPT POOLIA VITEC SOFTWARE GR.COOR SERVICE MAN JM PRECISE BIOMETRICS VITROLIFECOREM PROPERTY GR. KABE HUSVAGNAR PREVAS VOLVOC-RAD B KAPPAHL PRICER VOSTOK NEW V. SDRCLAS OHLSON INDUSTRIVARDEN A OREXO WALLENSTAMCOMHEM HOLDINGS INVESTOR PANDOX WIHLBORGS FAST.CONCORDIA MARITIME INVISIO COMM. PLATZER FAST. WISE GROUPCTT SYSTEMS KARO PHARMA AB PROACT IT GROUP XANO INDUSTRI
D CARNEGIE & CO B KAROLINSKA DEV. PROBI
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Example Firm: HufvudstadenDate DPS Special
DividendsStock price Return Increase Larger
IncreaseLarger than 2-year average
Larger than 5-year average
Quartile
2004M12 1,2 1,22005M0 1,3 1,3 49 1 0 0 0 02005M1 1,3 1,3 52,25 6,42 1 0 0 0 02005M2 1,3 1,3 53 3,71 1 0 0 0 02005M12 1,3 1,3 57 1,45 1 0 0 0 02006M0 1,45 1,45 56 1 1 1 0 12006M1 1,45 1,45 62 10,34 1 1 1 0 12006M2 1,45 1,45 63 3,59 1 1 1 0 12006M12 1,45 1,45 86,75 7,38 1 1 1 0 12007M0 1,6 1,6 83,5 1 0 1 0 02007M1 1,6 1,6 89,25 6,46 1 0 1 0 02007M2 1,6 1,6 82,5 -6,21 1 0 1 0 02007M12 1,6 1,6 63,75 13,20 1 0 1 0 02008M0 1,75 1,75 64,25 1 0 0 0 02008M1 1,75 1,75 64,25 -0,17 1 0 0 0 02008M2 1,75 1,75 60,5 -3,29 1 0 0 0 02008M12 1,75 1,75 51 4,07 1 0 0 0 02009M0 1,9 1,9 51,5 1 0 0 0 02009M1 1,9 1,9 45,2 -12,25 1 0 0 0 02009M2 1,9 1,9 46,5 7,07 1 0 0 0 02009M12 1,9 1,9 53,75 -1,83 1 0 0 0 02010M0 2,1 2,1 54,75 1 1 1 1 12010M1 2,1 2,1 59 7,75 1 1 1 1 12010M2 2,1 2,1 60 5,24 1 1 1 1 12010M12 2,1 2,1 72,25 -5,38 1 1 1 1 12011M0 2,3 2,3 72,35 1 0 0 0 02011M1 2,3 2,3 76,15 5,24 1 0 0 0 02011M2 2,3 2,3 75,8 2,56 1 0 0 0 02011M12 2,3 2,3 74,8 6,48 1 0 0 0 02012M0 2,45 2,45 74,6 1 0 0 0 02012M1 2,45 2,45 75,05 0,60 1 0 0 0 02012M2 2,45 2,45 70,35 -3,00 1 0 0 0 02012M12 2,45 2,45 85,45 4,53 1 0 0 0 02013M0 2,6 2,6 84,9 1 0 0 0 02013M1 2,6 2,6 87,8 3,42 1 0 0 0 02013M2 2,6 2,6 83,2 -2,28 1 0 0 0 02013M12 2,6 2,6 90,65 3,72 1 0 0 0 02014M0 2,75 2,75 91,35 1 0 0 0 02014M1 2,75 2,75 92,85 1,64 1 0 0 0 02014M2 2,75 2,75 90,85 0,81 1 0 0 0 02014M12 2,75 2,75 113 8,13 1 0 0 0 02015M0 2,9 2,9 116,4 1 0 0 0 02015M1 2,9 2,9 112,5 -3,35 1 0 0 0 02015M2 2,9 2,9 121 10,13 1 0 0 0 02015M12 2,9 2,9 114,3 -0,54 1 0 0 0 0
Appendix D – Example Firm Hufvudstaden
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Appendix E: Regressions with European FactorsDependent Variable: DUMMY_INCREASEMethod: Least SquaresDate: 05/29/16 Time: 16:18Sample (adjusted): 1 132Included observations: 132 after adjustments
Variable Coefficient Std. Error t-Statistic Prob.
C 0.862336 0.309054 2.790242 0.0061HML -0.107974 0.168055 -0.642491 0.5217
MKT_RF 0.456347 0.065516 6.965387 0.0000SMB 1.084044 0.160542 6.752409 0.0000
R-squared 0.456759 Mean dependent var 1.168256Adjusted R-squared 0.444027 S.D. dependent var 4.704102S.E. of regression 3.507548 Akaike info criterion 5.377546Sum squared resid 1574.770 Schwarz criterion 5.464903Log likelihood -350.9180 Hannan-Quinn criter. 5.413044F-statistic 35.87433 Durbin-Watson stat 2.038624Prob(F-statistic) 0.000000
Dependent Variable: DUMMY_HIGHER_INCREASEMethod: Least SquaresDate: 05/23/16 Time: 16:59Sample (adjusted): 1 120Included observations: 120 after adjustments
Variable Coefficient Std. Error t-Statistic Prob.
C 0.817357 0.335538 2.435962 0.0164HML -0.104176 0.175745 -0.592765 0.5545
MKT_RF 0.466476 0.068507 6.809134 0.0000SMB 1.113021 0.169483 6.567166 0.0000
R-squared 0.465793 Mean dependent var 1.072069Adjusted R-squared 0.451978 S.D. dependent var 4.888804S.E. of regression 3.619109 Akaike info criterion 5.443098Sum squared resid 1519.363 Schwarz criterion 5.536015Log likelihood -322.5859 Hannan-Quinn criter. 5.480832F-statistic 33.71483 Durbin-Watson stat 2.081595Prob(F-statistic) 0.000000
Dependent Variable: DUMMY_2_YEAR_AVERAGEMethod: Least SquaresDate: 05/23/16 Time: 17:01Sample (adjusted): 1 120Included observations: 120 after adjustments
Variable Coefficient Std. Error t-Statistic Prob.
C 0.878068 0.323758 2.712114 0.0077HML 0.001297 0.143706 0.009025 0.9928
MKT_RF 0.442068 0.055086 8.024995 0.0000SMB 1.155030 0.165880 6.963025 0.0000
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R-squared 0.482090 Mean dependent var 1.102785Adjusted R-squared 0.468695 S.D. dependent var 4.852730S.E. of regression 3.537186 Akaike info criterion 5.397305Sum squared resid 1451.356 Schwarz criterion 5.490222Log likelihood -319.8383 Hannan-Quinn criter. 5.435039F-statistic 35.99232 Durbin-Watson stat 2.026749Prob(F-statistic) 0.000000
Dependent Variable: DUMMY_5_YEAR_AVERAGEMethod: Least SquaresDate: 05/23/16 Time: 17:03Sample (adjusted): 1 72Included observations: 72 after adjustments
Variable Coefficient Std. Error t-Statistic Prob.
C 0.901665 0.434754 2.073966 0.0419HML -0.116479 0.216954 -0.536881 0.5931
MKT_RF 0.413149 0.099249 4.162744 0.0001SMB 0.856814 0.240702 3.559642 0.0007
R-squared 0.312626 Mean dependent var 1.321104Adjusted R-squared 0.282301 S.D. dependent var 4.126361S.E. of regression 3.495735 Akaike info criterion 5.394917Sum squared resid 830.9709 Schwarz criterion 5.521398Log likelihood -190.2170 Hannan-Quinn criter. 5.445269F-statistic 10.30909 Durbin-Watson stat 2.158797Prob(F-statistic) 0.000011
Dependent Variable: DUMMY_QUARTILEMethod: Least SquaresDate: 05/23/16 Time: 17:05Sample (adjusted): 1 132Included observations: 132 after adjustments
Variable Coefficient Std. Error t-Statistic Prob.
C 0.991932 0.320234 3.097518 0.0024HML -0.094738 0.174135 -0.544047 0.5874
MKT_RF 0.454819 0.067887 6.699701 0.0000SMB 1.150523 0.166349 6.916304 0.0000
R-squared 0.452251 Mean dependent var 1.302206Adjusted R-squared 0.439414 S.D. dependent var 4.854178S.E. of regression 3.634435 Akaike info criterion 5.448619Sum squared resid 1690.767 Schwarz criterion 5.535977Log likelihood -355.6088 Hannan-Quinn criter. 5.484117F-statistic 35.22796 Durbin-Watson stat 2.146940Prob(F-statistic) 0.000000
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Appendix F: Regressions with Swedish FactorsDependent Variable: INCREASEMethod: Least SquaresDate: 05/23/16 Time: 17:33Sample (adjusted): 1 96Included observations: 96 after adjustments
Variable Coefficient Std. Error t-Statistic Prob.
C 0.488478 0.384083 1.271801 0.2066HML -0.084472 0.161175 -0.524101 0.6015
MKT_RF 0.656546 0.068632 9.566164 0.0000SMB 0.306613 0.099325 3.086963 0.0027
R-squared 0.499217 Mean dependent var 0.896831Adjusted R-squared 0.482887 S.D. dependent var 5.104560S.E. of regression 3.670718 Akaike info criterion 5.479425Sum squared resid 1239.624 Schwarz criterion 5.586273Log likelihood -259.0124 Hannan-Quinn criter. 5.522615F-statistic 30.57077 Durbin-Watson stat 2.369635Prob(F-statistic) 0.000000
Dependent Variable: HIGHER_INCREASEMethod: Least SquaresDate: 05/23/16 Time: 17:35Sample (adjusted): 1 84Included observations: 84 after adjustments
Variable Coefficient Std. Error t-Statistic Prob.
C 0.500444 0.429318 1.165673 0.2472HML -0.019257 0.186156 -0.103448 0.9179
MKT_RF 0.669498 0.073902 9.059257 0.0000SMB 0.335248 0.108309 3.095278 0.0027
R-squared 0.508986 Mean dependent var 0.658413Adjusted R-squared 0.490573 S.D. dependent var 5.340926S.E. of regression 3.812041 Akaike info criterion 5.560654Sum squared resid 1162.532 Schwarz criterion 5.676407Log likelihood -229.5475 Hannan-Quinn criter. 5.607186F-statistic 27.64273 Durbin-Watson stat 2.448979Prob(F-statistic) 0.000000
Dependent Variable: _2_YEAR_AVERAGEMethod: Least SquaresDate: 05/23/16 Time: 17:36Sample (adjusted): 1 84Included observations: 84 after adjustments
Variable Coefficient Std. Error t-Statistic Prob.
C 0.531731 0.428738 1.240223 0.2185HML -0.029464 0.185905 -0.158491 0.8745
MKT_RF 0.657724 0.073802 8.911951 0.0000SMB 0.323814 0.108163 2.993754 0.0037
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R-squared 0.500579 Mean dependent var 0.694079Adjusted R-squared 0.481851 S.D. dependent var 5.288637S.E. of regression 3.806898 Akaike info criterion 5.557954Sum squared resid 1159.398 Schwarz criterion 5.673707Log likelihood -229.4341 Hannan-Quinn criter. 5.604486F-statistic 26.72850 Durbin-Watson stat 2.407315Prob(F-statistic) 0.000000
Dependent Variable: _5_YEAR_AVERAGEMethod: Least SquaresDate: 05/23/16 Time: 17:38Sample (adjusted): 1 36Included observations: 36 after adjustments
Variable Coefficient Std. Error t-Statistic Prob.
C 0.324218 0.719529 0.450597 0.6553HML -0.300703 0.352925 -0.852032 0.4005
MKT_RF 0.623789 0.148204 4.209002 0.0002SMB 0.189620 0.199773 0.949179 0.3496
R-squared 0.356768 Mean dependent var 0.815206Adjusted R-squared 0.296465 S.D. dependent var 4.779533S.E. of regression 4.008928 Akaike info criterion 5.719364Sum squared resid 514.2882 Schwarz criterion 5.895311Log likelihood -98.94856 Hannan-Quinn criter. 5.780774F-statistic 5.916258 Durbin-Watson stat 2.144475Prob(F-statistic) 0.002489
Dependent Variable: QUARTILEMethod: Least SquaresDate: 05/23/16 Time: 17:40Sample (adjusted): 1 96Included observations: 96 after adjustments
Variable Coefficient Std. Error t-Statistic Prob.
C 0.628094 0.391449 1.604538 0.1120HML -0.039994 0.164266 -0.243474 0.8082
MKT_RF 0.693649 0.069948 9.916598 0.0000SMB 0.335106 0.101230 3.310346 0.0013
R-squared 0.518126 Mean dependent var 1.040775Adjusted R-squared 0.502413 S.D. dependent var 5.303541S.E. of regression 3.741111 Akaike info criterion 5.517416Sum squared resid 1287.624 Schwarz criterion 5.624264Log likelihood -260.8360 Hannan-Quinn criter. 5.560606F-statistic 32.97374 Durbin-Watson stat 2.440749Prob(F-statistic) 0.000000
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Appendix G: Heteroscedasticity Tests European FactorsEuropean Factors IncreaseHeteroskedasticity Test: Breusch-Pagan-Godfrey
F-statistic 3.118524 Prob. F(3,128) 0.0284Obs*R-squared 8.990792 Prob. Chi-Square(3) 0.0294Scaled explained SS 8.179449 Prob. Chi-Square(3) 0.0424
Test Equation:Dependent Variable: RESID^2Method: Least SquaresDate: 05/29/16 Time: 16:18Sample: 1 132Included observations: 132
Variable Coefficient Std. Error t-Statistic Prob.
C 12.00468 1.433442 8.374723 0.0000HML -1.031246 0.779467 -1.323015 0.1882
MKT_RF -0.095132 0.303876 -0.313061 0.7547SMB -1.898566 0.744618 -2.549718 0.0120
R-squared 0.068112 Mean dependent var 11.93008Adjusted R-squared 0.046271 S.D. dependent var 16.65852S.E. of regression 16.26856 Akaike info criterion 8.446180Sum squared resid 33877.24 Schwarz criterion 8.533538Log likelihood -553.4479 Hannan-Quinn criter. 8.481678F-statistic 3.118524 Durbin-Watson stat 2.103554Prob(F-statistic) 0.028447
European Factors Larger IncreaseHeteroskedasticity Test: Breusch-Pagan-Godfrey
F-statistic 1.808681 Prob. F(3,116) 0.1494Obs*R-squared 5.362320 Prob. Chi-Square(3) 0.1471Scaled explained SS 4.607667 Prob. Chi-Square(3) 0.2029
Test Equation:Dependent Variable: RESID^2Method: Least SquaresDate: 05/24/16 Time: 14:02Sample: 1 120Included observations: 120
Variable Coefficient Std. Error t-Statistic Prob.
C 12.50345 1.582549 7.900831 0.0000HML -0.944893 0.828894 -1.139944 0.2567
MKT_RF 0.162905 0.323112 0.504176 0.6151SMB -1.678713 0.799357 -2.100079 0.0379
R-squared 0.044686 Mean dependent var 12.66135Adjusted R-squared 0.019980 S.D. dependent var 17.24248S.E. of regression 17.06936 Akaike info criterion 8.545213Sum squared resid 33798.12 Schwarz criterion 8.638129Log likelihood -508.7128 Hannan-Quinn criter. 8.582946
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F-statistic 1.808681 Durbin-Watson stat 2.223720Prob(F-statistic) 0.149447
European Factors Two Year AverageHeteroskedasticity Test: Breusch-Pagan-Godfrey
F-statistic 1.310916 Prob. F(3,116) 0.2743Obs*R-squared 3.934954 Prob. Chi-Square(3) 0.2686Scaled explained SS 3.141548 Prob. Chi-Square(3) 0.3703
Test Equation:Dependent Variable: RESID^2Method: Least SquaresDate: 05/24/16 Time: 14:02Sample: 1 120Included observations: 120
Variable Coefficient Std. Error t-Statistic Prob.
C 12.17574 1.447495 8.411592 0.0000HML 0.251634 0.642496 0.391650 0.6960
MKT_RF 0.105624 0.246287 0.428867 0.6688SMB -1.401015 0.741638 -1.889082 0.0614
R-squared 0.032791 Mean dependent var 12.09463Adjusted R-squared 0.007777 S.D. dependent var 15.87633S.E. of regression 15.81447 Akaike info criterion 8.392493Sum squared resid 29011.30 Schwarz criterion 8.485409Log likelihood -499.5496 Hannan-Quinn criter. 8.430227F-statistic 1.310916 Durbin-Watson stat 2.351780Prob(F-statistic) 0.274252
European Factors Five Year AverageHeteroskedasticity Test: Breusch-Pagan-Godfrey
F-statistic 2.477718 Prob. F(3,68) 0.0686Obs*R-squared 7.094853 Prob. Chi-Square(3) 0.0689Scaled explained SS 6.065679 Prob. Chi-Square(3) 0.1085
Test Equation:Dependent Variable: RESID^2Method: Least SquaresDate: 05/24/16 Time: 14:02Sample: 1 72Included observations: 72
Variable Coefficient Std. Error t-Statistic Prob.
C 10.94453 1.941557 5.636987 0.0000HML -1.981744 0.968890 -2.045375 0.0447
MKT_RF 0.056062 0.443234 0.126485 0.8997SMB -1.310304 1.074946 -1.218949 0.2271
R-squared 0.098540 Mean dependent var 11.54126Adjusted R-squared 0.058769 S.D. dependent var 16.09152S.E. of regression 15.61151 Akaike info criterion 8.387847Sum squared resid 16572.92 Schwarz criterion 8.514329
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Log likelihood -297.9625 Hannan-Quinn criter. 8.438200F-statistic 2.477718 Durbin-Watson stat 2.431918Prob(F-statistic) 0.068614
European Factors QuartileHeteroskedasticity Test: Breusch-Pagan-Godfrey
F-statistic 1.067238 Prob. F(3,128) 0.3655Obs*R-squared 3.221196 Prob. Chi-Square(3) 0.3588Scaled explained SS 3.376301 Prob. Chi-Square(3) 0.3372
Test Equation:Dependent Variable: RESID^2Method: Least SquaresDate: 05/24/16 Time: 14:02Sample: 1 132Included observations: 132
Variable Coefficient Std. Error t-Statistic Prob.
C 12.85183 1.690243 7.603544 0.0000HML -0.658780 0.919108 -0.716760 0.4748
MKT_RF 0.011414 0.358315 0.031854 0.9746SMB -1.429967 0.878016 -1.628634 0.1058
R-squared 0.024403 Mean dependent var 12.80884Adjusted R-squared 0.001537 S.D. dependent var 19.19783S.E. of regression 19.18307 Akaike info criterion 8.775767Sum squared resid 47102.73 Schwarz criterion 8.863125Log likelihood -575.2007 Hannan-Quinn criter. 8.811266F-statistic 1.067238 Durbin-Watson stat 2.193183Prob(F-statistic) 0.365479
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Appendix H: Heteroscedasticity Tests Swedish FactorsSwedish Factors IncreaseHeteroskedasticity Test: Breusch-Pagan-Godfrey
F-statistic 1.490355 Prob. F(3,92) 0.2224Obs*R-squared 4.449233 Prob. Chi-Square(3) 0.2169Scaled explained SS 4.577669 Prob. Chi-Square(3) 0.2055
Test Equation:Dependent Variable: RESID^2Method: Least SquaresDate: 05/24/16 Time: 13:59Sample: 1 96Included observations: 96
Variable Coefficient Std. Error t-Statistic Prob.
C 13.42233 2.017475 6.653033 0.0000HML 1.011493 0.846606 1.194762 0.2353
MKT_RF -0.601070 0.360504 -1.667305 0.0989SMB -0.512165 0.521726 -0.981675 0.3288
R-squared 0.046346 Mean dependent var 12.91275Adjusted R-squared 0.015249 S.D. dependent var 19.42990S.E. of regression 19.28119 Akaike info criterion 8.796910Sum squared resid 34202.30 Schwarz criterion 8.903758Log likelihood -418.2517 Hannan-Quinn criter. 8.840100F-statistic 1.490355 Durbin-Watson stat 2.210169Prob(F-statistic) 0.222375
Swedish Factors Larger IncreaseHeteroskedasticity Test: Breusch-Pagan-Godfrey
F-statistic 0.479400 Prob. F(3,80) 0.6975Obs*R-squared 1.483442 Prob. Chi-Square(3) 0.6861Scaled explained SS 1.551536 Prob. Chi-Square(3) 0.6704
Test Equation:Dependent Variable: RESID^2Method: Least SquaresDate: 05/24/16 Time: 13:57Sample: 1 84Included observations: 84
Variable Coefficient Std. Error t-Statistic Prob.
C 14.16393 2.403933 5.891980 0.0000HML 0.821082 1.042365 0.787710 0.4332
MKT_RF -0.395789 0.413810 -0.956452 0.3417SMB -0.208181 0.606471 -0.343266 0.7323
R-squared 0.017660 Mean dependent var 13.83967Adjusted R-squared -0.019178 S.D. dependent var 21.14347S.E. of regression 21.34525 Akaike info criterion 9.005983Sum squared resid 36449.56 Schwarz criterion 9.121736Log likelihood -374.2513 Hannan-Quinn criter. 9.052515
XXI
F-statistic 0.479400 Durbin-Watson stat 2.178114Prob(F-statistic) 0.697520
Swedish Factors Two Year AverageHeteroskedasticity Test: Breusch-Pagan-Godfrey
F-statistic 0.490535 Prob. F(3,80) 0.6898Obs*R-squared 1.517276 Prob. Chi-Square(3) 0.6783Scaled explained SS 1.623839 Prob. Chi-Square(3) 0.6540
Test Equation:Dependent Variable: RESID^2Method: Least SquaresDate: 05/24/16 Time: 13:50Sample: 1 84Included observations: 84
Variable Coefficient Std. Error t-Statistic Prob.
C 14.13513 2.424679 5.829691 0.0000HML 0.665740 1.051361 0.633217 0.5284
MKT_RF -0.456747 0.417381 -1.094318 0.2771SMB -0.183602 0.611705 -0.300149 0.7648
R-squared 0.018063 Mean dependent var 13.80235Adjusted R-squared -0.018760 S.D. dependent var 21.33031S.E. of regression 21.52946 Akaike info criterion 9.023169Sum squared resid 37081.40 Schwarz criterion 9.138922Log likelihood -374.9731 Hannan-Quinn criter. 9.069701F-statistic 0.490535 Durbin-Watson stat 2.181323Prob(F-statistic) 0.689841
Swedish Factors Five Year AverageHeteroskedasticity Test: Breusch-Pagan-Godfrey
F-statistic 0.511168 Prob. F(3,32) 0.6775Obs*R-squared 1.646298 Prob. Chi-Square(3) 0.6489Scaled explained SS 1.614149 Prob. Chi-Square(3) 0.6562
Test Equation:Dependent Variable: RESID^2Method: Least SquaresDate: 05/24/16 Time: 13:49Sample: 1 36Included observations: 36
Variable Coefficient Std. Error t-Statistic Prob.
C 15.48303 4.185244 3.699433 0.0008HML 2.483979 2.052838 1.210022 0.2351
MKT_RF -0.440254 0.862048 -0.510708 0.6131SMB -0.204364 1.162007 -0.175872 0.8615
R-squared 0.045730 Mean dependent var 14.28578Adjusted R-squared -0.043732 S.D. dependent var 22.82477S.E. of regression 23.31852 Akaike info criterion 9.240812Sum squared resid 17400.11 Schwarz criterion 9.416759
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Log likelihood -162.3346 Hannan-Quinn criter. 9.302222F-statistic 0.511168 Durbin-Watson stat 2.463849Prob(F-statistic) 0.677454
Swedish Factors QuartileHeteroskedasticity Test: Breusch-Pagan-Godfrey
F-statistic 1.450471 Prob. F(3,92) 0.2333Obs*R-squared 4.335543 Prob. Chi-Square(3) 0.2274Scaled explained SS 6.375849 Prob. Chi-Square(3) 0.0947
Test Equation:Dependent Variable: RESID^2Method: Least SquaresDate: 05/24/16 Time: 13:50Sample: 1 96Included observations: 96
Variable Coefficient Std. Error t-Statistic Prob.
C 14.16632 2.506943 5.650834 0.0000HML 1.069739 1.052004 1.016858 0.3119
MKT_RF -0.842850 0.447967 -1.881498 0.0631SMB -0.451078 0.648304 -0.695782 0.4883
R-squared 0.045162 Mean dependent var 13.41275Adjusted R-squared 0.014026 S.D. dependent var 24.12889S.E. of regression 23.95908 Akaike info criterion 9.231345Sum squared resid 52811.43 Schwarz criterion 9.338193Log likelihood -439.1046 Hannan-Quinn criter. 9.274535F-statistic 1.450471 Durbin-Watson stat 2.126702Prob(F-statistic) 0.233303
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Appendix I: Robust Standard ErrorsEuropean Factors IncreaseDependent Variable: DUMMY_INCREASEMethod: Least SquaresDate: 05/24/16 Time: 14:04Sample (adjusted): 1 132Included observations: 132 after adjustmentsWhite heteroskedasticity-consistent standard errors & covariance
Variable Coefficient Std. Error t-Statistic Prob.
C 0.862336 0.311315 2.769977 0.0064HML -0.107974 0.168237 -0.641799 0.5222
MKT_RF 0.456347 0.070072 6.512577 0.0000SMB 1.084044 0.152628 7.102527 0.0000
R-squared 0.456759 Mean dependent var 1.168256Adjusted R-squared 0.444027 S.D. dependent var 4.704102S.E. of regression 3.507548 Akaike info criterion 5.377546Sum squared resid 1574.770 Schwarz criterion 5.464903Log likelihood -350.9180 Hannan-Quinn criter. 5.413044F-statistic 35.87433 Durbin-Watson stat 2.038624Prob(F-statistic) 0.000000 Wald F-statistic 31.28716Prob(Wald F-statistic) 0.000000
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