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Rumors of Mergers and Acquisitions: Market Efficiency and
Markup Pricing
Hsin-I Chou,a Gloria Y. Tian,b Xiangkang Yin,a∗
a La Trobe University, b
November 2010
University of New South Wales
Abstract: Rumors can be classified into two types, according to whether they can
credibly predict impending events or not. The analysis of takeover rumors of publicly
traded US companies from 1990 to 2008 shows that these two types of rumors can be
statistically distinguished by returns of rumored takeover targets before rumor
publication. However, market responses to the rumors on the rumor day and the day after
are statistically indifferent. Trading on such rumors can be profitable. Moreover,
takeover premiums of sampled targets cannot be explained by markup pricing hypothesis
although the hypothesis is supported by the view of efficient markets.
Keywords: Financial rumor, merger and acquisition, market efficiency, runup, markup,
takeover premium
JEL Classification: G14, G34
∗ Corresponding author, School of Economics and Finance, La Trobe University, Bundoora, Victoria 3086,
Australia. Tel: 61-3-9479 2312, Fax: 61-3-9479 1654, Email: [email protected]. We are grateful for
the comments of Buly Cadak, Stephen Easton, David Feldman, John Handley, Mark Humphery, Russell
Jame, Ron Masulis, Lily Nguyen, Jerry Parwada, David Prentice, Abul Shamsuddin, Jianfeng Shen, Neal
Stoughton, Peter Swan, and seminar participants at La Trobe University, the University of Newcastle and
the University of New South Wales. We also thank Reza Makouei for his excellent research assistance.
Rumors of Mergers and Acquisitions: Market Efficiency and
Markup Pricing
November 2010
Abstract: Rumors can be classified into two types, according to whether they can
credibly predict impending events or not. The analysis of takeover rumors of publicly
traded US companies from 1990 to 2008 shows that these two types of rumors can be
statistically distinguished by returns of rumored takeover targets before rumor publication.
However, market responses to the rumors on the rumor day and the day after are
statistically indifferent. Trading on such rumors can be profitable. Moreover, takeover
premiums of sampled targets cannot be explained by markup pricing hypothesis although
the hypothesis is supported by the view of efficient markets.
Keywords: Financial rumor, merger and acquisition, market efficiency, runup, markup,
takeover premium
JEL Classification: G14, G34
1
1. Introduction
A financial rumor is an imprecise and unconfirmed message about an impending
financial event. Financial markets are full of such rumors. Rumors can be spread through
word of mouth or newsletters by insiders such as the senior managers or directors of a
company or by outsiders such as investment gurus, professional speculators or financial
journalists. In recent years, the internet provides a new forum for rumors, where investors
can easily exchange information in chat-rooms, by newsgroups and on message boards.
Because of its nature, not all rumors in financial markets are informative. While some
rumormogers might be honest in disseminating their private information, more often
rumors are deliberately added noise (Admati and Pfleiderer, 1986, 1990) because most
rumormongers intend to mislead or manipulate the market by spreading rumors. Of
course, rumors can also be market speculations or predictions based on publicly available
information. Thus, it is extremely important for an investor who receives a financial
rumor to determine whether the rumor conveys a genuine piece of truthful information of
the impending event or it is just a false message intending to manipulate the market. It is
also vital to know how and to what extent a rumor affects the development of the event
and the value of associated financial assets.
This paper is motivated to address these issues by analyzing the rumors of mergers
and acquisitions (M&A) in the US market from 1990 to 2008. Our first goal is to assess
whether stock markets are efficient at responding to published takeover rumors. Through
the data we have collected, we find that although it is impossible to verify whether the
context of each rumor is true or false with certainty at the time when the rumor is
published, investors in the market can statistically distinguish rumors which correctly
2
predict impending takeover events from those which are simply false alarms by analyzing
publicly available information such as historical Cumulative Abnormal Returns (CARs)
of the rumored takeover targets. This suggests that the market prices of a target stock can,
at least partially, reveal the true information of the potential takeover. However, on the
day when a rumor is published and the day after, the abnormal returns of target firms in
the group where an M&A rumor is followed by a formal takeover bid announcement are
statistically indifferent from those of target firms in the group where an M&A rumor does
not lead to any announcement. 1 Moreover, investors can trade on rumors to reap
abnormal returns. A simple investment strategy is to buy the stock of the rumored target
on the rumor publication day, if the firm’s CAR in past 42 or 21 trading days is larger
than a threshold and then to hold the position for one calendar year or until a takeover bid
for the firm is announced, whichever comes first. Our findings show that there is a quite
wide range of the threshold, ranging from zero to 12%, and the investment in the equally-
weighted portfolio of selected firms from the sample can earn an annualized excess return
of up to 100% or more. These findings are in sharp contrast to the efficient markets
hypothesis, even in its semi-strong-form, which states that trading only on public
information cannot earn excess returns (Fama, 1970). Pound and Zeckhauser (1990)
argue that the “market is efficient at responding to published takeover rumor” as they find
that trading on rumors cannot make excess returns. Their trading strategy is buying at the
closing price on the day the rumor is published and selling in the open market at the
closing price on the ending day which is the earlier of the first formal bid announcement
day or one calendar year after the rumor day. A key difference between their strategy and
1 We call the first group rumor-announced group and the second rumor-only group.
3
ours is that they do not distinguish “winners” –– rumors more likely to be followed by a
formal bid from “losers” –– rumors less likely to lead to a bid. More importantly, even
following Pound and Zeckhauser’s (1990) investment strategy to hold a long position in
all rumored targets in our sample, it still yields an excess return between 42% and 55%
per annum. Since selecting winners and/or trading on rumored firms are based on public
information, our empirical evidence does not support the efficient markets hypothesis.
The second goal of this paper is to examine the validity of markup pricing in
M&A. A well-documented observation in corporate control markets is that bidder firms
have to pay substantial premiums to acquire control. A target’s stock price usually has an
abnormal runup before the first takeover bid announcement and thus markup is defined by
the difference between takeover premium and price runup before the first bid. As pointed
out by Schwert (1996), how price runup before the announcement affects the takeover
premium can test two competing views of capital markets. The efficient markets view
predicts that markup should be independent of runup, since the target firm’s stock price
rise before takeover bidding reflects the good news about the value of the firm and such a
rise should make the bidder to increase the takeover premium by an equal amount. On
the other hand, the substitution hypothesis assumes that the bidder’s private information is
not reflected in the market price before the price runup. Thus, runup and markup are
negatively correlated, keeping takeover premium independent of runup. Schwert (1996)
is the first study systematically examining the relationship between pre-bid runup of a
target’s stock price and its post-bid price makeup or the takeover premium. He finds that
a 1% increase in the runup of the target’s CAR leads to approximately a 1% rise in the
total offer premium, supporting the efficient markets view. Because of potential
4
competition among bidders, Betton, Eckbo and Thorburn (2008) use initial offer price to
measure the initial markup. They find that a 1% rise in runup yields an average increase
of 0.8% in the takeover premium implied in the initial offer. It is well recognized that the
runup of a target’s stock price is likely to be driven by the leaked private information
from insiders or legitimate market anticipations (Jarrell and Poulsen, 1989; Schwert,
1996). Thus, the takeover rumor is largely responsible for the price runup before a bid is
formally announced. To pinpoint the impact of rumors, we decompose the runup of a
target’s abnormal return into two parts: the runup before the takeover rumor is published
(pre-runup) and the runup between rumor publication and the announcement of the first
bid (post-runup). Consistent with previous studies, our findings show that both pre-runup
and post-runup have a significantly positive impact on the takeover premium. Different
from these studies, our findings suggest that the impact is much larger in magnitude. In
particular, a 1% increase in the pre-runup (post-runup) of a target’s CAR results in about
a 1.6% (1.2%) increase in takeover premium. There are two potential reasons making our
findings different from the previous findings. First, our sample is biased as it only
includes takeovers preceded by rumors while the samples of Schwert (1996) and Betton,
Eckbo and Thorburn (2008) are much larger and unbiased, including all takeovers. The
second difference is that our runup period (pre-runup period plus post-runup period)
varies across takeover targets and on average it is much longer than 42 trading days
(about two calendar months), adopted by the aforementioned studies for the runup period.
Schwert (1996) finds that CAR starts to rise from 42 trading days before the first bid
announcement. However, we find that runups of rumored target stocks have a quite
different pattern. Runups in 42 or 21 trading days before the first rumor publication (i.e.,
5
pre-runups) are larger than runups between the first rumor publication and first bid
announcement (i.e., post-runups, which are on average of 58.6 trading days). Since pre-
runup also has a more significant marginal effect on takeover premium than post-runup
(i.e., 1.6% vs. 1.2% as reported above), we conclude that pre-runup dominates post-runup
in their role of increasing takeover premium.
In our analysis, event day is the day when the first takeover rumour is published so
that runup period is much longer on average. To be more comparable with previous
studies, particularly with Schwert (1996), this paper also uses the day of the first bid
announcement as the event day and adopts the same estimation window and event
window as Schwert (1996) to test the markup pricing theory in the competition for
corporate control. The results show that markup pricing hypothesis is not consistent with
our empirical findings, at least for the successful takeovers. Thus, our findings not only
differ from Schwert (1996) as markup pricing does not prevail but also differ from the
findings of Betton, Eckbo and Thorburn (2008) based on initial offer prices.2
In both theoretical and empirical analyses, the influence of takeover rumors on the
stock prices of target firms is well recognized. Jarrell and Poulsen (1989) find that the
“presence of rumors in the news media about an impending bid is the strongest
explanatory variable in accounting for unanticipated premiums and prebid runup” for 172
tender offers they have studied. Pound and Zeckhauser (1990) examine the effects of
takeover rumors on the prices of target stocks using a sample of 42 rumors published in
2 However, our findings are, to a certain extent, consistent with the testing results of the markup pricing
hypothesis by Betton, Eckbo and Thorburn (2008) using CAR over the whole takeover contest period rather
than the initial offer price.
6
the Heard on the Street column of the Wall Street Journal (WSJ) from January 1983 to
December 1985. Although target stocks, on average, display significant positive excess
returns in 20 trading days before rumor publication, they find that the market reacts to
rumors efficiently as trading on rumors is not profitable. Zivney, Bertin and Torabzadeh
(1996) extend the study of Pound and Zeckhauser (1990) by documenting rumors appear
not only on the Heard on the Street column but also on the Abreast of the Market column
of the WSJ. More recently, Clarkson, Joyce and Tutticci (2006) examine the market
reaction to takeover rumor postings in the Hotcopper Internet Discussion Site. Their
findings show that a rumor is often associated with an abnormal return and trading
volume during the 10-minute posting interval and an abnormal trading volume in the 10-
minute immediately preceding its posting. Theoretical analyses of rumors are usually
normative. Benabou and Laroque (1992) develop a model, where a rumormonger with
access to private information and incentive to manipulate the market strategically sends a
message of the value of a risky asset to the public. The receivers update their beliefs
based on the message received and their beliefs of the rumormonger’s honesty, and then
take actions which determine the asset price in the market. The model demonstrates that
the rumormonger can manipulate public information and the asset price and such
manipulation exists in the long-run under certain conditions. Using a Kyle (1985) model
with private information diffusion, Bommel (2003) shows that an informed investor with
limited investment capacity can benefit by spreading imprecise rumors of stock prices to
an audience of followers. Following rumors is also beneficial in equilibrium but
uninformed liquidity traders make a loss because of the rumor. In a similar model, Eren
7
and Ozsoylev (2008) illustrate that the very existence of naïve investors makes the hype
and dump manipulation an equilibrium outcome.
The rest of the paper is organized as follows. Section 2 describes the sample used
in our analysis. Sections 3 and 4 demonstrate asset prices before rumor publication can
statistically identify the type of a rumor but price reactions to the rumor on the day of and
the days after rumor publication do not reflect the difference in rumor type. Section 5
tests markup pricing hypothesis and substitution hypothesis based on a sample of rumored
takeover bids. Section 6 examines the robustness of our analysis, focusing on the effects
of rumor sampling and return selection. The final section concludes the paper.
2. Data
The stylized timeline of M&A events is illustrated by Figure 1. Different from
previous studies, we decompose runup period into pre-runup period and post-runup period.
We use a window of 42 or 21 trading days before the first rumor publication for the pre-
runup period while the post-runup period is determined by the observed dates of the first
rumor publication and the first bid announcement. The markup period is standard, which
is the time between the first bid announcement and delisting or 126 trading days (about a
half of a calendar year), whichever comes first.
INSERT FIGURE 1 HERE
Our main data sources include Thomson Financial SDC Platinum database, the
Wall Street Journal, Zephyr, the Centre for Research in Security Prices (CRSP) and
8
Compustat. We first select takeover targets, which must be publicly listed US firms and
identified by SDC of having takeover rumors. The sample period is from January 1, 1990
to December 31, 2008. There are 517 firms satisfy these criteria. Among them, 258 firms
have attracted at least one formal takeover bid (classified as the rumor-announced group)
while the other 259 firms do not have a followed bid offer according to SDC (classified as
the rumor-only group). The rumor information provided by SDC for the rumor-
announced group is quite rough, since it only indicates whether or not a takeover activity
is accompanied with rumors by a “flag” in the rumor column. For our study, the date
when the first rumor is published is vital. Therefore, for all M&A announcements with a
rumor flag in SDC database, we manually search the WSJ and Zephyr to determine the
rumor date.3 We find that there are 75 target firms, of which the date of the first rumor
published in the WSJ or recorded by Zephyr is the same as the first bid announcement
date recorded by SDC. We delete these 75 firms from the rumor-announced sample.
There are 10 and 12 rumors, which have been followed by a formal takeover bid
announcement within one and two days, respectively. The impacts of these rumor
publications are very likely to be intertwined with the impacts of corresponding takeover
announcements. To insure the effect of rumor is not contaminated by takeover
announcement, we require that the first rumor publication is separated from the first bid
announcement by at least two days. Therefore, these 22 rumors are excluded from the
rumor-announced group in our analysis presented in Sections 3-5. However, we have
also conducted a parallel analysis with a rumor-announced group which includes these
rumors in Section 6 and found not substantial variation to the main results reported in
3 Zephyr only provides M&A information from year 2000 onwards.
9
Sections 3-5. For the remaining 161 targets in the group, we drop 53 firms because we
cannot find their rumor dates from the WSJ or Zephyr and further 34 firms because of the
lack of stock return data in CRSP or the insufficient length of estimation window (less
than 100 trading days) for event-study calculation. Thus, the final sample size of the
rumor-announced group is 74. On the other hand, SDC Platinum does provide the rumor
dates for rumors in the rumor-only sample. Thus, we only drop 72 firms from the initial
rumor-only group due to the lack of stock return data in CRSP or the insufficient length of
estimation period. The final sample size of the rumor-only group is 187.4
Table 1 reports the distribution of trading days between the first rumor publication
and the first takeover announcement if the rumor is eventually materialized. The time
period between these events varies significantly. There are 36 target firms which received
a bid within 21 trading days (roughly one calendar month) of rumor publication,
comprising 48.6% of the sample. This result is quite different from Pound and
Zeckhauser (1990) who find that there are only two out of 18 firms which received bids
within 50 calendar days. As Table 1 shows, most sample firms receive bids within one
calendar year. Only two firms receive bids later than one calendar year.5 Since our runup
period is the sum of a certain period before rumor publication (42 days or 21 days) and
the period between rumor publication and bid announcement, the runup period also varies
from one takeover to another. This is quite different from previous studies.
4 The sample size is 188 for the rumor-only group when a 21-day pre-runup period is adopted.
5 We drop these two companies in our analysis below: one has 463 trading days and the other has 680
trading days between rumor publication and announcement. Thus, the final sample size for the rumor-
announced group in the analysis below is 72 firms.
10
INSERT TABLE 1 HERE
There are two competing hypotheses about the sources of takeover rumors. The
public speculation hypothesis believes that rumors derive from research by outside
experts and monitors, representing market predictions of upcoming events. The
alternative hypothesis is that rumors are sourced mainly by leaks from intermediaries
involved in M&A negotiation or insiders of associated firms. Pound and Zeckhauser
(1990) suggest using the duration between the first rumor publication and the first bid
announcement to examine these hypotheses. The intuition behind this examination is that
insider trading or leaks are often accompanied by immediate takeover announcements
while takeovers speculated by the market take a longer period to be materialized. Table 1
can shed some light on this issue and it seems to suggest that a considerable portion of
rumors in the rumor-announced sample derive from insider leaks as 36 rumors out of 74
(48.6%) are followed by a formal M&A announcement within only 21 trading days and
the median duration from the first rumor publication to the first takeover announcement is
23 trading days.
3. Can false rumors be picked up?
The focus of this paper is the abnormal return of target firms in M&A. We apply
the following market model for each target firm in our sample:6
6 To ensure the robustness of our results, we also considered other asset pricing models, including Fama-
French three-factor model (Fama and French, 1993). The results are very similar to these derived from the
single-factor model of Equation (1). Since our main references such as Pound and Zeckhauser (1990),
Schwert (1996), and Betton, Ecobo and Thorburn (2008) use one-factor model, we report our results based
11
itmtiiit RR , (1)
where Rit is the return to the stock of firm i and Rmt is the return to the market index at
date t, αi and βi are regression coefficients. Daily return data of target firms are obtained
from CRSP and the market index uses the data of the CRSP value-weighted market
portfolio. Coefficients αi and βi are first estimated over an estimation window, and then
used to calculate the abnormal return, it , over the pre-runup period leading to the event
or an extended period after the event. Unless otherwise indicated, the event day in this
study is the day when rumor is published for the first time and we consider both 42-day
and 21-day pre-runup periods in our analysis.7 Thus, the estimation window used to
estimate the coefficients in regression (1) is either t = -242 to -43 or -221 to -22. The
cumulative abnormal return of firm i between dates t1 and t2 is given by:
2
1
),( 21
t
ttiti ttCAR . (2)
In Table 2a, the first column reports the average CARs of 72 rumor-announced targets in
the periods of (-42, -1) to (-3, -1). It also reports the average abnormal return on the event
day, CAR(0, 0), and the average CAR of event day and the first day after the event day,
CAR(0, 1). The second column reports their counterparts for 187 rumor-only targets and
the third column documents the mean differences of CARs between the two groups. It is
obvious that the average CARs of the rumor-announced group are consistently larger than
those of rumor-only group for periods from (-42, -1) to (-3, -1). The result of T-test and
on Equation (1) to make our analyses directly comparable to these existing studies. For our analysis using
raw return, see Section 6.
7 We also consider other durations of pre-runup periods and achieve qualitatively similar results.
12
Wilcoxon rank-sum test of mean difference in the forth and fifth columns of the table
show that the differences are statistically significant for most CARs, particularly for CARs
in periods from (-30, -1) to (-14, -1). Thus, although at an individual rumor level an
uninformed investor cannot be sure whether or not a takeover rumor will lead to a formal
bid at the time when he/she receives the rumor, he/she still can statistically determine the
credibility of the rumor by examining the potential target’s historical CARs before the
rumor publication day. The fact that an investor can use market prices or returns to
distinguish rumors suggests the efficiency of the capital market. Accompanying the
publication of a takeover rumor, no matter whether it is credible or not, there must be
some private or public information about the underlying target. The stock prices of the
target seem to be able to correctly incorporate this information and in turn predict the
truthfulness of the rumor, at least in statistical sense.
INSERT TABLES 2A AND 2B HERE
To examine the robustness of this finding, we have repeated our analysis by using
other time windows. The results are qualitatively similar and we document the results
based on the estimation window of (-221, -22) in Table 2b.8 As can be seen from the
table, the most significant mean differences in CARs of the two groups are now in periods
from (-21, -1) to (-14, -1), (-12, -1) to (-11, -1) and (-8, 1) to (-6, -1). In sum, market
8 As a comparison, Pound and Zeckhauser (1990) report a CAR(-21, -1) of 7.78%, based on their full sample
that includes both materialized and unmaterialized rumors. This figure is between our CAR(-21, -1) of
9.25% for the rumor-announced group and 3.06% for the rumor-only group.
13
prices and their movements before the rumor day have the ability to statistically identify a
credible rumor from a false one.
The significantly high CARs of stocks in the rumor-announced subsample are not
at the expense on bearing higher total risk than stocks in the rumor-only group. To show
this point, we have computed each stock’s variance of daily returns using daily return
observations from day -42 to day -1. The mean of 72 variances from the rumor-
announced group is 0.00193 while the mean of 187 variances from the rumor-only group
is 0.00198. The T-statistic and Wilcoxon rank-sum statistic for the test of the mean
difference are -0.0834 and -0.204, respectively, which confirm that the difference in
variances between the two groups is statistically insignificant.9 Consequently, investment
in rumour-announced stocks on average does not bear higher risk than investment in
rumor-only stocks.
Because CAR before rumor publication is an important indicator to detect the type
of a rumor, it is interesting to investigate the relationship between the CAR of a target
firm and the firm’s characteristics. If the price movement reflects the market perspectives
of the potential deal based on public information such as firm characteristics, CAR should
be correlated with these characteristics. A financially distressed firm is more vulnerable
and less likely to survive in the competition and thus is more likely to be a takeover target.
We take financial distress as the focus of our investigation. Of course, other firm
characteristics can also affect market speculation of takeover and the firm’s abnormal
9 For daily returns on day -21 through day -1, the average variances of the two groups are 0.0024 and
0.0023, respectively. T-statistic and Wilcoxon rank-sum statistic for the mean difference tests are 0.0887
and 0.561. Thus, we obtain the same result.
14
return but we include them as control variables in the analysis. More specifically, we
examine the effects of firm characteristics by the following model:
iir
R
rrii eControlDistressCAR
,
1
, (3)
where dependent variable CARi measures target i’s cumulative abnormal return of 42 days
or 21 days before the rumor publication, Distressi measure the degree of the firm’s
financial risk and Controlr,i represents a set of firm-level control variables.
We use two measures for a firm’s financial distress level and bankruptcy
probability in the short run: Altman’s Z-score 10 (Altman, 1968) and multiple-choice
Zmijewski probit model11 (Zmijewski, 1984). A higher Z-score or a lower Zmijewski
probability means that the company is financially healthier in comparison to a lower score
or a higher probability. Distress variable in (3) uses annual data, which is the Z-score or
Zmijewski probability of a target firm in the year immediately before the event date. In
control variables, firm leverage (Leverage) is measured as total debt divided by the sum
of market value of equity and total debt, and firm size (Firm Size) is measured as the
logarithm of market value of equity. Since there are quarterly data on these variables,
their observations in the quarter immediately before the event date are used in regression
(3). The third control variable is sales growth (Sales Growth) of the target firm, which is
10 The measure of Altman's Z-score is: Z = 1.2 (Working capital / Total assets) + 1.4 (Retained earnings
/ Total assets) + 3.3 (Earnings before interest and taxes /Total assets) + 0.6 (Market value of equity /Book
value of total liabilities) + 0.999 (Sales / Total assets).
11 In Zmijewski's model, the probability of bankruptcy is measured by the cumulative probability of the
standard normal distribution at point X, where X = −4.3 – 4.5 (Net income/ Total assets) + 5.7 (Total
liabilities / Total assets) − 0.004 (Current assets /Current liabilities).
15
the average growth rate for the four-quarter period just before the rumor publication.
Industry dummies, including manufacturing (SIC codes 30-39), communication (SIC
codes 48 and 49), finance (SIC codes 60-99) and service (SIC codes 72-82), are also
included as control variables. Data used to calculate these financial variables are obtained
from Compustat database. We test rumor-announced firms and rumor-only firms
separately to see whether there is any difference between the two groups.
INSERT TABLE 3 HERE
Table 3 documents the descriptive statistics of dependent variable and explanatory
variables of (3). The two subsamples of rumor-announced and rumor-only firms are quite
similar in terms of financial leverage, firm size and sales growth. Of our main interest—
financial distress, the two groups are quite similar in the measure of Zmijewski
probability. However, the sample mean of Altman’s Z-score of the rumor-announced
group is much larger than the rumor-only group. This is due to a couple of outliers in the
rumor-announced group. These firms have a Z-score of more than 100. Indeed, the
median Z-scores of the two subsamples have no substantial difference.
The results of the OLS regression of model (3) are reported in Table 4. The
dependent variable are CARi(-42, -1) and CARi(-21, -1) in Panels A and B, respectively.
In the table, each model comprises two regression results for the subsamples of rumor-
announced firms and rumor-only firms. Model 1 and Model 2 are simple OLS
regressions for the relationship between CARi and Distressi variables using Altman’s Z-
score and Zmijewski probability for Distressi, respectively, while Model 3 and Model 4
16
include all control variables in the regression. The first observation from Table 4 is that
the impact of financial distress on CAR is consistent across all models, sample groups and
dependent variable choices. The coefficients of Distressi show that for firms in the
rumor-announced group, an increase in financial distress (a fall in Z-score or a rise in
Zmijewski probability) leads to a greater CAR. However, the signs of the coefficients of
Distressi for the firms in the rumor-only group are just opposite to their counterparts of
rumor-announced group, which implies that an increase in financial distress of a rumor-
only firm leads to a lower CAR. This evidence is consistent with the conjecture that
although there are various sources and transmission networks of takeover rumors,
investors in the market can still utilize some publicly observable variables such as
financial distress in the pre-runup period to judge a firm’s possibility of being a takeover
target. A financially sound firm is less likely to become a takeover target, so that a
marginal deterioration of its financial position does not trigger a stock price rise resulted
from takeover speculation. In contrast, for a financially distressed firm, a similar
marginal deterioration is likely to increase the likelihood of takeover and, in turn, its stock
price rises rather than falls. The impact of Distressi is significant in most scenarios as
evidenced that only 4 out 16 of its coefficients are statistically indifferent from zero based
on heteroskedasticity-consistent standard errors (White, 1980). However, the effects of
control variables are mostly insignificant. An exception is Firm Size. When the
dependent variable is CARi(-21, -1), it is negatively and significantly affects CARi of both
rumor-announced and rumor-only targets.
INSERT TABLE 4 HERE
17
4. Does the market respond to takeover rumors efficiently?
Although market prices are able to statistically predict whether a takeover rumor is
true or false, the puzzle is that such a prediction has not been utilized by investors in the
market. Takeover is usually considered as good news for investing in the target firm and
the market usually responds positively to an M&A announcement.12 Such a positive
effect is also reflected in the surge of stock prices in our sampled targets on the rumor day
and the day after the rumor publication, as shown by CAR(0, 0) and CAR(0, 1) in the
Tables 2a and 2b,13 because the investors anticipate the impending takeover bids. Since
the takeover rumors of the targets in the rumor-only group are false and the market can
statistically identify such rumors, their stock price increases should be smaller than their
counterparts in the rumor-announced group if the market is efficient. Although the
sample mean of rumor day abnormal return, CAR(0, 0), of the rumor-announced group is
greater than its counterpart of the rumor-only group (i.e., 0.0538 vs. 0.0495 in Table 2a),
the two-day cumulative abnormal return, CAR(0, 1), of the rumor-announced group is
actually smaller than its counterpart of the rumor-only group (i.e., 0.0635 vs. 0.0669 in
Table 2a). Moreover, both T-test and Wilcoxon rank-sum test show that the differences
12 Substantial increases in target firm’s stock prices before and after takeover announcements have been
well documented. See, for example, Andrade, Mitchell and Stafford (2001), Jensen and Ruback (1983), and
Keown and Pinkerton (1981).
13 This observation is noticeably different from Pound and Zeckhauser (1990) who find that no significant
excess returns occur on the rumor publication day while the volatility of excess returns on that day is high.
More specifically, they report a mean excess return and standard deviation of 0.07% and 4.19%,
respectively.
18
of these sample means are statistically indifferent from zero. In other words, investors
respond indifferently, on the event day and the day after, to these statistically
distinguishable rumors. This casts a serious doubt on the efficiency of stock markets.
The market prices seem not to efficiently reflect the information available to the public
when takeover rumors appear in the WSJ and/or other media. This conclusion is robust as
we have estimated CAR(0, 0) and CAR(0, 1) with other estimation windows but obtained
qualitatively similar results. For instance, Table 2b reports the estimations based on the
window of (-221, -22). The CAR(0, 0) of the rumor-announced group is 0.0538, which is
greater than the CAR(0, 0) of the rumor-only group, 0.0488. For CAR(0, 1), it is 0.0655
vs. 0.0659. The differences between these two sets of sample means are statistically
indifferent.
To demonstrate further market inefficiency, we show that there is a simple
investment strategy which ensures an investor a statistically significant excess return by
trading on takeover rumors. This strategy is to buy rumored stocks which are more likely
to be followed by a takeover bid. It involves picking a certain threshold such that an
investor buys a dollar worth of the rumored stock at the closing price on the rumor day if
the firm’s CAR in past 42 or 21 days is greater than the threshold and then holds the
position until the first takeover bid is announced or for 252 trading days (one calendar
year), whichever comes first. But the investor takes no action if the firm’s CAR is below
the chosen threshold. The outcome of the investment strategy is documented in Table 5
below. There are 36 rumor-only firms delisted within 252 trading days. Therefore, we
divide tables into two panels: Panel A uses a sample of 72 rumor-announced firms14 and
14 All rumor-announced firms have less than 252 trading days between their rumor day and delisting.
19
151 rumor-only firms which have at least 252 trading days record; while Panel B includes
all rumor-announced and rumor-only firms. Since winner stocks can be any stocks whose
CAR is greater than a specified threshold, Table 5 selectively reports the outcome of the
investment strategy by setting the threshold equal to 0%, 2%, 4%, up to 12% for both
CARi(-42, -1) and CARi(-21, -1). For comparison purpose, it also reports the investment
outcomes if the investor chooses losers to invest, i.e., investing exclusively in stocks with
CARi(-42, -1) and CARi(-21, -1) below the specified thresholds. The last row of each
panel documents the excess returns of longing all rumored stocks.
INSERT TABLE 5 HERE
As Panel A of the table shows, the investment strategy yields annualized excess
returns ranging from 72.2% to 114% if an investor chooses to long winner stocks with a
CARi(-42, -1) greater than 0% to 12%. All these excess returns are statistically significant
at the 1% level. For Panel B, the results are similar to Panel A’s—the investment strategy
yields annualized excess returns from 71.8% to 107.2% with a statistical significance at
the 1% level. An interesting observation is that investing in losers only, i.e., longing
stocks with a CARi(-42, -1) which is smaller than the threshold, still yields a positive
excess return, ranging from 29.1% to 33.6% in Panel A. However, Panel B shows that
investing in losers only can yield negative excess returns and the range of excess returns
is from -7.3% to 11.8%. Moreover, all excess returns from investing in losers are
statistically indifferent from zero. Table 5 also reports the results of using the CARs of
21 days before rumor publication to select stocks for investment. Clearly, the results are
20
qualitatively equivalent to using CARi(-42, -1) to select stocks although excess returns are
quantitatively different.15
Pound and Zeckhauser (1990) suggest another trading strategy of buying all
rumored target stocks on the day of rumor publication and holding them until the first bid
or for a calendar year, whichever comes first. Given that such trading strategy cannot
yield statistically significant excess returns for their sampled firms, they conclude that the
market is efficient because trading on rumor is not profitable. There are two substantial
differences between our approach/findings and those of Pound and Zeckhauser’s. First,
their investment strategy does not utilize publicly available price information to determine
which rumored targets to buy. Our investment strategy uses this price information but not
other private or public information at all and it is still profitable. Second, perhaps more
surprisingly, even following Pound and Zeckhauser’s investment strategy and long all
rumored target firms in our sample, investors can still earn excessive profits. As shown in
the last rows of Panels A and B of Table 5, such an investment strategy yields annualized
excess returns ranging from 41.9% to 54.5%. They are statistically significant at least at
the 5% level. There are only 42 target firms in the Pound-Zeckhauser sample, which is
much smaller than our samples of 223 to 260 firms. Moreover, Pound and Zeckhauser’s
(1990) sample period is from January 1, 1983 through December 31, 1985 while ours
covers a more recent and longer period, from January 1, 1990 through December 31, 2008.
The divergence in sample size and sample period is likely to be the reasons for the
disparity in investment outcomes.
15We have also tried other CARs, for instance, CARi(-50, -1), to select stocks and found no substantial
difference to those reported in Table 5.
21
It is also interested to compare the risk of investing in the winner stocks with that
of loser stocks. The column, Average variance, in Table 5 compiles the average of
annualized variances of the daily returns of invested stocks over the investment periods.
Obviously, for each pair of winner set and loser set, the former has a much smaller
average variance. This is not surprising. Most winner stocks experience a small and
stable gain between rumor day and delisting while most loser stocks experience a large
loss over a period a few days after rumor publication. It is also worth noting that
investing in winner stocks does not bear very high total risk as the average variances falls
in a range of 0.018 to 0.050. In comparison, the average annualized variance of the CRSP
market portfolio is 0.0308 over the period of 1990-2008.
5. Do bidders markup price?
An implication of efficient markets is that the stock price movement of a target
firm, before takeover bidding, reveals its value changes unknown to bidders. Since the
markup of a takeover bid represents the bidder’s willingness to pay for the impending
takeover, a one-dollar increase in the target’s stock price in the runup period should on
average result in a one-dollar rise in the takeover premium according to the view of
efficient markets. A contrasting view is that runup is not caused by new information.
Because the runup merely reflects the anticipation of a planned takeover premium, the
offer premium should be independent of runup. By definition, premium equals the sum of
runup and markup, this view implies a perfect substitution hypothesis that any increase in
runup will be eased by a decline in markup leaving the premium unchanged. We revisit
this issue of relationship between runup and takeover premium using our newly collected
22
data. But departing from the conventional analysis, we decompose runup into pre-runup
and post-runup to better understand the effects of rumor on takeover premium. The pre-
runup of target i is calculated using its CAR between day -42 (or -21) to day -1, i.e.:
1
2142 or titirunupPre . (4)
The post-runup is the CAR in the post-runup period so that it can be calculated by:
1
0
T
titirunupPost , (5)
where T is the date of the first bid announcement. The definition of markup is
conventional, which is the CAR from the day of the first bid announcement through
delisting or 126 trading days, whichever comes first:
}126min{ delisting ,T
TtitiMarkup . (6)
The total premium, Premiumi, paid by a successful bidder is the sum of Pre-runupi, Post-
runupi and Markupi.16 There are 60 out of 72 rumor-announced firms which have been
taken over in the end of the takeover process and we classify them into the successful
sample. To distinguish from it, we call the sample of all 72 rumor-announced firms the
rumor-announced sample. Panels A and B in Table 6 report the descriptive statistics of
pre-runup, post-runup, runup, markup and premium calculated based on an estimation
window of (-242, -42) of these two samples, respectively, while Panels C and D report the
same items based on the (-221, -22) window.
16 To be comparable with the existing literature, the “premiums” of unsuccessful takeover are also included,
and it is defined as by the sum of Pre-runup, Post-runup and Markup too.
23
INSERT TABLE 6 HERE
Previous studies find that runup is usually more substantial at the time when it is
closer to the first bid announcement.17 Table 6 shows a quite different runup pattern. For
both 42- or 21-day pre-runup periods, pre-runup on average dominates post-runup. Since
the average length of post-runup periods is around 58.6 trading days, such dominance is
not due to a shorter post-runup period. Moreover, we cannot reject the hypothesis that the
mean of post-runup is zero. Therefore, the main runup of the target’s stock price occurs
in the pre-runup period rather than post-runup period although the latter is closer to the
takeover bid announcement than the former.
The average markups documented in the table are negative under various
scenarios although they are not significantly different from zero. The negative markup is
consistent with an initial overreaction of the market to the takeover rumors and then the
market and/or bidders correct the overreaction in bidding or consecutive trading. In other
words, instead of marking up, bidders actually mark down from runups in their offers on
average. This is particularly obvious by comparing the successful subsample with the
rumor-announced sample, in that the former has a larger markdown than the latter. To
investigate the effect of a change of runup on the changes of premium and markup we,
following Schwert (1996), consider a regression model that:
Premiumi = a + b1 Pre-runupi + b2 Post-runupi + ui. (7)
17 “The CARs start to rise around day -42 (about two months before the first bid announcement), with the
largest pre-bid rise occurring from days -21 to - 1.” (Schwert, 1996, page 162). Note that day 0, the event
day, in Schwert’s analysis is the day of the first bid announcement.
24
This regression difference from Schwert (1996) by decomposing Runup into Pre-runup
and Post-runup.18 The results of the regressions are reported in Table 7 below. As we
can see from the table, both Pre-runup and Post-runup contribute significantly to
takeover Premium. We can also strongly reject the hypotheses that b1 ≤ 1 for the
successful sample. For instance, the heteroskedasticity-consistent T-statistic for the null
hypothesis of b1 ≤ 1 of the successful sample with pre-runup measure of CAR(-42, -1) is
3.359, and we can reject the null hypothesis at the 1% level. More importantly, the
marginal effect of Pre-runup is considerably greater than its counterpart of Post-runup
(i.e., 21 bb ). Table 6 shows that the size of Pre-runup is much larger than that of Post-
runup on average. Thus, pre-runup not only dominates post-runup in terms of marginal
effect on takeover premium since 21 bb , but also in terms of the overall impact on
takeover premium.
INSERT TABLES 7 AND 8 HERE
To examine markup pricing hypothesis further, we study a regression model that
is exactly the same as Schwert (1996):
Premiumi = a + b Runupi + ui. (8)
The results in Panels A and B of Table 8 are the regression outcomes using the rumor-
announced sample and the successful subsample, respectively. They demonstrate that the
null hypothesis of b = 1 can be strongly rejected in 3 out of 4 scenarios using the
heteroskedasticity-consistent T-statistics. Thus, we have strong empirical evidence
18 A test shows that the correlation between pre-runup and post-runup is statistically insignificant.
25
against markup pricing hypothesis for the takeovers in our successful sample. Note that
Premiumi = Runupi + Markupi by definition. Therefore, Markupi = a + (b – 1) Runupi,
and Markupi and Runupi are perfectly and negatively correlated if and only if b = 0. Our
result of b > 1 also strongly rejects the substitution hypothesis because it requires b = 0.
The estimates of b in Panels A and B are larger than Schwet’s (1996) estimation. The
estimates of b based on his Main and Successful samples are 1.075 and 1.018,
respectively, and the null hypothesis of markup pricing (b = 1) cannot be rejected. In a
slightly different fashion, Betton, Eckbo and Thorburn (2008) obtain an estimate around
0.8 when markup is measured by the natural logarithm of the ratio of initial offer price to
the target stock price on the day before the first bid.19
There are two potential reasons making our results different from those of
previous studies. First, we focus on M&A deals preceded by relevant rumors while the
samples of Schwert (1996) and Betton, Eckbo and Thorburn (2008) include all target
firms which are publicly traded in the U.S. Their sample sizes are much larger than ours.
As a result the impact of takeover rumors discovered by this paper might have been eased
by price dynamics of other target firms in their samples over the runup period. The
second reason relates to the duration of runup period. Our runup period is much longer
than a 42-day period used by Schwert (1996) and Betton, Eckbo and Thorburn (2008).
Our runup period equal to 42 or 21 days of pre-runup period plus an average post-runup
period of 58.6 days, leading to an average runup period of 100.6 or 79.6 days. 19 Their runup is measured in a similar way so that market risk has not been removed from markup and
runup. However, they also use a market model similar to equation (1) to estimate CAR in the runup period
and markup period, which implies an estimate of b of 1.595 based on their full sample and 1.493 based on
their successful sample. These estimates are closer to these reported in Panels A and B of Table 8.
26
To address the second difference, we re-run model (8) with a runup period of 42
days, irrespective of the different lengths of actual post-runup periods. More specifically,
we choose the first bid announcement day as the event day, similar to Schwert (1996),
and Betton, Eckbo and Thorburn (2008). The estimation period starts from days -379 and
ends on day -127 and the runup is the CAR over day -42 to day -1 (before the first bid
announcement). The markup is the CAR from the first bid announcement through
delisting or 126 trading days after the first bid, whichever comes first. We deliberately
choose estimation window, runup period and markup period in this way so that they are
the same as those adopted by Schwert (1996). The descriptive statistics of runup, markup
and takeover premium under this specification are presented in Table 9, where Panel A
includes all rumor-announced firms and Panel B includes only targets which have been
successfully taken over.20 The average CARs of all rumor-announced firms from day -
126 to day 252 are illustrated in Figure 2. A notable difference of Table 9 from the
statistics in Table 6 is that the mean markups are now positive rather than negative,
although they are still statistically insignificant from zero. Comparing Figure 2 with
Figure 2 of Schwert (1996), we find substantially larger early runups in the rumored
M&A processes. The average CAR starts to move up as early as around day -120 while
the average CAR of the Schwert sample does not show substantial upward movement
until day -42. This difference reconfirms the impact of rumor on runups, as pointed
earlier.
20 The samples are two firms smaller than their counterparts in Panels A and B of Table 6 because of data
unavailability.
27
INSERT TABLE 9 AND FIGURE 2 HERE
The regression results of using takeover bid announcement as the event are
reported in Panel C of Table 8. First note that the heteroskedasticity-consistent T-statistic
testing b ≤ 1 tends to decline from Panels A and B to C. This implies the role played by
early runups before and/or around rumor publication has been partially excluded in Panel
C. The estimate of b based on the successful sample in Panel C is 1.466, which is still
substantially larger than Schwert’s estimates. It is however consistent with the estimate
of Betton, Eckbo and Thorburn (2008) based on their successful sample with runups and
markups measured by CARs. But our estimate based on the rumor-announced sample is
considerably smaller than their estimate based on their full sample (1.021 vs. 1.493).
More importantly, the hypothesis of b ≤ 1 can be rejected for our successful sample whilst
the hypothesis of b = 1 cannot be rejected for our rumor-announced sample. In sum, our
findings reject substitution hypothesis and cannot be fully explained by the markup
pricing theory, at least for the successful sample. The difference between our finding and
those of previous studies, Schwert’s (1996) in particular, indicates that the very existence
of M&A rumors can have some material impact on the bidders’ pricing strategies and the
final realizations of takeover premiums.
The super-markup pricing (b > 1), found in this study, is consistent with the hubris
hypothesis (Roll, 1986), in that bidders are interested in winning a takeover contest
irrespective of costs. However, it can also be explained by reevaluating the synergy of
the merger and/or redistributing the gain of the merger in the takeover contest between the
28
target and bidder firms. Testing these hypotheses is beyond the scope of this paper and
remains for future studies.
6. Further robustness examinations
To ensure our findings are robust, we have conducted various robustness checks.
In addition to what have reported in the above analysis, we briefly report and discuss in
this section the results of adopting alternative sampling of rumor-announced group and
using raw returns rather than abnormal returns for our analysis.
6.1. Alternative sampling of rumor-announced group
As mentioned in Section 2, we required in the above analysis that the first rumor
publication and the first bid announcement are separated by two days to isolate rumor
publication effects from bid announcement effects. Thus, we have dropped 22 targets
from the rumor-announced group as 10 of them have attracted a takeover bid within one
day of rumor publication and the other 12 targets attracted a bid within two days. Adding
these 12 or 22 targets back into the rumor-announced group does not change the main
findings reported in the previous sections. We summarize the results of using this
alternative sampling below.
First and obviously, if the 12 targets (or 22 targets) are included in the sample, the
number of observed targets with less than 21 trading days between rumor publication and
bid announcement increases from 36 in Table 1 to 48 (or 58). In terms of percentage, the
increase is from 48.6% to 55.8% (or 60.4%). The average length and median length of
the time interval between rumor publication and bid announcement are reduced from 58.6
29
and 23 days to 50.7 and 13.5 (or 45.5 and 10.0) days, respectively. This provides stronger
evidence supporting the hypothesis that rumors in the rumor-announced group are
sourced from insider leaks.
Second, the average CARs of the rumor-announced in the pre-runup period are
still greater than the average CARs of the rumor-only group. Corresponding to Table 2a,
the mean differences of CAR(-30, -1) to CAR(-14, -1) between the two groups are in the
range of 0.0166 (or 0.0208) to 0.0472 (or 0.0543) when the 12 (or 22) targets are included
in the rumor-announced group. Most of them are significantly different from zero though
they are smaller than their counterparts obtained from the original sampling.
Corresponding to Table 2b, the mean differences of CAR(-21, -1) to (-14, -1) between the
two groups are in the range of 0.0158 (or 0.0196) to 0.043 (or 0.0483) and most of them
are also significantly different from zero.
Third, the differences of abnormal returns on the rumor day between the two
groups and the CARs over the rumor day and the day after are still statistically
indistinguishable.21 The mean difference of CAR(0, 0) and CAR(0, 1) between the two
groups are every small and their values, corresponding to Table 2a, are equal to 0.0094
(or 0.0145) and 0.0055 if the 12 (or 22) targets are included. Their counterparts for Table
2b are 0.0102 (or 0.0154) and 0.0082. All these mean differences are statistically
insignificant.
21 Note, CAR(0, 1) cannot be used to measure the market response to rumor if the rumor-announced group
includes targets whose bid is announced within one day of rumor publication because CAR(0, 1) includes
abnormal return on announcement day, which is the major part of markup.
30
Forth, the investment strategy specified in Section 4 still yields substantial excess
returns. For instance, corresponding to Panel A of Table 5, we find that selecting winner
stocks from a sample including the 12 (or 22) new targets with a threshold of 0% to 12%
for the CAR over 42 days before rumor publication leads to an annualized excess return
from 101.8% (or 145.8%) to 171.1% (or 230.8%). Using the CAR over 21 days before
rumor publication to select, the range is from 132.4% (or 175.7%) to 194.3% (or 224.8%).
Investing in all rumored targets yields an annualized excess return of 93% (or 122%).
Obviously, these results are stronger than what are documented in Panel A of Table 5. A
similar conclusion can be drawn for Panel B. The reason for higher excess returns of the
investment strategy by adding these targets into the sample is that rumor publication day
and the day after usually have a very high excess return. Thus, adding these targets not
only enlarges the amount of winner stocks but also provides an opportunity for investors
to hold very high returns for a very short period (i.e., one or two days).
Fifth, the regression outcomes of models (7) and (8) have no qualitative changes
after more targets are added back into the sample. For instance, the estimates of b1,
corresponding to the successful sample in Panels A and B of Table 7, are 1.569 (or 1.484)
and 1.716 (or 1.616) when 12 (or 22) new targets are added into the sample. The
estimates of b, corresponding to the successful sample in Panels A and B of Table 8, are
1.352 (or 1.319) and 1.416 (or 1.384) when 12 (or 22) new targets are added into the
sample. All of these eight estimates are strongly and significantly different from one.
In sum, the main findings of this paper are robust to the sample selection of the
rumor-announced group.
31
6.2. Analysis with raw returns
The choice of return is critical to our analysis. Instead of abnormal returns, we
have also used raw return data to repeat the analysis conducted in Section 3 through
Section 5.22 More specifically, we define cumulative raw return as 2
1),( 21
t
tt iti RttCRR
and conduct the analysis generating Tables 2a-b and 5-8 by replacing CAR by CRR. With
raw returns, the difference of mean returns between the rumor-announced group and
rumor-only group is larger and statistically more significant than what are reported in
Tables 2a and 2b. For instance, corresponding to Table 2a, almost all differences of
CRR(–42, –1) through CRR(–14,–1) are significant at the 1% level by both T-test and
Wilcoxon rank-sum test, and corresponding to Table 2b almost all differences of CRR(–
21, –1) through CRR(–14,–1) are significant at the 1% level. Based on CRR(41, 1) or
CRR(21, 1) to select winner stocks, the winner stocks on average perform better than
the loser stocks gauged by raw returns after rumor publication. The results similar to
Table 5 are obtained when CAR is replaced by CRR. However, using CRRi to run
regressions (7) and (8) lead to somewhat different estimates than using CARs. For
instance, the estimates of b1 are smaller than their counterparts in Table 7 while the
estimates of b2 are larger. Nevertheless, the estimates of b, based on the successful
subsample, are quite consistent with their counterparts in Table 8 and are significantly
greater than one.
Following the process of Subsection 6.1, we then add back the 22 targets, whose
first merger announcement day are within two days of the first rumor publication day,
22 See, for instance, McConnell and Sanger (1987), and Jaffe and Mahoney (1999) for the adoption of raw
returns.
32
into the sample and repeat the above analysis process of testing CRRs. Moreover, there
are 5 rumor-announced targets and 14 rumor-only targets, which have no sufficient CAR
data but complete data of CRR. We add these 19 firms into the sample further and
duplicate the analysis process again. All three different samples yield quite consistent
results.
7. Conclusions
Using the data of M&A rumors of publicly traded US target firms, we find quite
contradicting evidences regarding capital markets efficiency. On the one hand, stock
prices of these rumored firms before rumor publication can be used to statistically
distinguish a genuine prediction of takeover from a false alarm, indicating that prices
largely assemble and reflect market information. On the other hand, the market
participants do not seem to fully utilize the information and leaves some profitable
opportunities unexplored. In addition, price runups in our sample seem to appear earlier
than what are reported in previous studies. Pre-rumor runups dominate post-rumor
runups not only in their magnitudes but also in the marginal effect on takeover premiums.
Markup pricing hypothesis can be rejected for rumored M&A deals, if the runup period is
extended to 42 days before rumor publication. Even with a standard runup period of 42
days before the first bid announcement, markup pricing hypothesis still cannot fully
explain the empirical evidence documented in this paper. The competing substitution
hypothesis of takeover premiums is also strongly rejected by our empirical evidence,
irrespective of the choice of the length of runup period. How to resolve the puzzling
findings of this paper , both theoretically and empirically, remains for future research.
33
References
Admati, A., Pfleiderer P., 1986. A monopolistic market for information. Journal of
Economic Theory 39, 400-438.
Admati, A., Pfleiderer P., 1990. Direct and indirect sale of information. Econometrica 58,
901-928.
Altman, E.I., 1968. Financial ratios, discriminate analysis and the prediction of corporate
bankruptcy. Journal of Finance 23, 589-609.
Andrade, G., Mitchell, M., Stafford, E., 2001. New evidence and perspectives on mergers.
Journal of Economic Perspectives 15, 103-120.
Benabou, R., Larogue, G., 1992. Using privileged information to manipulate markets:
Insiders, gurus, and Credibility. Quarterly Journal of Economics 107, 921-958.
Betton, S., Eckbo, B.E., Thorburn, K., 2008, Markup pricing revisited.
http://papers.ssrn.com/sol3/papers.cfm?abstract_id=1094946.
Clarkson, P.M., Joyce, D., Tutticci, I., 2006. Market reaction to takeover rumor in Internet
Discussion Sites. Accounting and Finance 46, 31–52.
Eren, N., Ozsoylev, H.N., 2008. Hype and Dump Manipulation.
http://papers.ssrn.com/sol3/papers.cfm?abstract_id=948814.
Fama, E.F., 1970. Efficient capital markets: A review of theory and empirical work.
Journal of Finance 25, 393-417.
Fama, E.F., French, K.R., 1993. Common risk factors in the returns on stocks and bonds.
Journal of Financial Economics 33, 3–56.
Jaffe, J.F., Mahoney, J.M., 1999. The performance of investment newsletters. Journal of
Financial Economics 53, 289-307.
34
Jarrell, G., Poulsen, A., 1989. Stock trading before the announcement of tender offers:
Insider trading or market anticipation? Journal of Law, Economics, and
Organization 50, 225-248.
Jensen, M.C., Ruback, R.S., 1983. The market for corporate control: the scientific
evidence. Journal of Financial Economics 11, 5-50.
Keown, A.J., Pinkerton, J.M., 1981. Merger announcements and insider trading activity:
an empirical investigation. Journal of Finance 34, 855-869.
Kyle, A.S., 1985. Continuous auctions and insider trading. Econometrica 53, 1315-1335.
McConnell, J.J., Sanger, G.C., 1987. The puzzle in post-listing common stock returns.
Journal of Finance 42, 119-140.
Pound, J., Zeckhauser, R., 1990. Clearly heard on the street: The effect of takeover
rumors on stock prices. Journal of Business 63, 291-308.
Roll, R., 1986. The hubris hypothesis of corporate takeovers. Journal of Business 59, 197-
216.
Schwert, W., 1996. Markup pricing in mergers and acquisitions. Journal of Financial
Economics 41, 153-192.
Van Bommel, J., 2003. Rumors. Journal of Finance 58, 1499-1519.
White, H., 1980. A heteroskedasticity-consistent covariance matrix estimator and a direct
test for heteroskedasticity. Econometrica 48, 817-838.
Zivney, T.L., Bertin, W.J., Torabzadeh, K.M., 1996. Overreaction to takeover speculation.
Quarterly Review of Economics and Finance 36, 89-115.
Zmijewski, M.E., 1984. Methodological issues related to the estimation of financial
distress prediction models. Journal of Accounting Research 22, 59-82.
35
Fig. 1. Stylized timeline of merger and acquisition events.
0
0.05
0.1
0.15
0.2
0.25
0.3
-126
-120
-114
-108
-102 -96
-90
-84
-78
-72
-66
-60
-54
-48
-42
-36
-30
-24
-18
-12 -6 0 6 12 18 24 30 36 42 48 54 60 66 72 78 84 90 96 102
108
114
120
126
132
138
144
150
156
162
168
174
180
186
192
198
204
210
216
222
228
234
240
246
252
Trading day
Ave
rag
e cu
mu
lati
ve a
bn
orm
al r
etu
rn
Fig.2. Average cumulative abnormal return. The average of cumulative abnormal return to target firms in the rumor-announced group from trading day -126 to 252 is estimated based on the market model itmtiiit RR , where market index is the CRSP value-
weighted market portfolio. The regression of the market model uses daily returns from day -379 to day -127. The event day, day 0, is the day when the first formal bid is announced.
First rumor publication
Final outcome
Pre-runup period Post-runup period
Runup period Markup period
First bid announcement
36
Table 1 Distribution of trading days between the first rumor publication and the first takeover announcement.
The calculation is based on the original data from SDC Platinum database, the Wall Street Journal and Zephyr database. The sample period is from January 1, 1990 to December 31, 2008.
Trading days between rumor and bid Number of observations Less than 21 days 36 22-42 days 10 43-100 days 14 101-200 days 11 201-300 days 1 More than 300 days 2 Average length: 58.6 days 74 Median length: 23.0 days 74
37
Table 2a Average CARs of rumor-announced and rumor-only targets and their differences, estimation based on time series between (-242,-43).
Event day (day 0) is the day when the takeover rumor is published for the first time. Using the daily return data of target i from CRSP and daily returns of the CRSP value-weighted market portfolio over (-242,-43), coefficients αi and βi are estimated by the following market model: itmtiiit RR .
Then the estimated αi and βi are substituted into the model to calculate the abnormal return, it , over (-42, -
1), using the observations of daily returns of target i and the CRSP market portfolio over this period. The CAR of firm i between dates t1 and t2 is given by:
2
1
),( 21
t
tt
iti ttCAR .
There are 72 rumor-announced firms and 187 rumor-only firms in the sample. The first column reports the average CARs of rumor-announced firms in the periods of (-42, -1) to (-3, -1), the average abnormal return on the event day, CAR(0, 0), and the average CAR of event day and the first day after the event day, CAR(0, 1). The second column reports their counterparts for the rumor-only group and the third column documents the differences between the two groups. The results of T-test and Wilcoxon rank-sum test of mean difference are reported in the forth and fifth columns, respectively. Standard deviations are reported in parentheses. Symbols ***, ** and * indicate significance at the 0.01, 0.05 and 0.1 levels, respectively.
CAR Rumor-
announced Rumor-only
Mean difference
T-statistic Wilcoxon rank-
sum
CAR(-42,-1) 0.0738***
(0.236) 0.029* (0.229)
0.0448 1.397 1.342
CAR(-41,-1) 0.0753** (0.243)
0.029* (0.225)
0.0463 1.451 1.339
CAR(-40,-1) 0.0784***
(0.234) 0.0304* (0.224)
0.048 1.521 1.472
CAR(-39,-1) 0.074*** (0.237)
0.0312* (0.221)
0.0428 1.373 1.300
CAR(-38,-1) 0.074*** (0.229)
0.034** (0.221)
0.040 1.293 1.196
CAR(-37,-1) 0.078*** (0.209)
0.0302* (0.219)
0.0478 1.597 1.429
CAR(-36,-1) 0.0805***
(0.219) 0.028* (0.213)
0.0525 1.76* 1.503
CAR(-35,-1) 0.0776***
(0.216) 0.027* (0.213)
0.0506 1.704* 1.542
CAR(-34,-1) 0.0804***
(0.202) 0.0219 (0.211)
0.0585 2.021** 1.737*
CAR(-33,-1) 0.084*** (0.209)
0.0184 (0.208)
0.0656 2.273** 1.942*
CAR(-32,-1) 0.0798***
(0.203) 0.0233 (0.208)
0.0565 1.974** 1.602
CAR(-31,-1) 0.083*** (0.207)
0.0224 (0.204)
0.0606 2.132** 1.807*
CAR(-30,-1) 0.0914***
(0.21) 0.0211 (0.201)
0.0703 2.483** 2.057**
CAR(-29,-1) 0.0916***
(0.211) 0.0245* (0.197)
0.0671 2.40** 2.157**
CAR(-28,-1) 0.093*** (0.206)
0.025* (0.189)
0.068 2.54** 2.301**
38
CAR(-27,-1) 0.0924***
(0.198) 0.0227* (0.178)
0.0697 2.728*** 2.524**
CAR(-26,-1) 0.0907***
(0.193) 0.0231* (0.175)
0.0676 2.702*** 2.492**
CAR(-25,-1) 0.083***
(0.19) 0.0232* (0.171)
0.0598 2.435** 2.174**
CAR(-24,-1) 0.0892***
(0.193) 0.0258** (0.169)
0.0634 2.60*** 2.285**
CAR(-23,-1) 0.0904***
(0.181) 0.024* (0.171)
0.0664 2.747*** 2.485**
CAR(-22,-1) 0.0911***
(0.178) 0.0283** (0.165)
0.0628 2.675*** 2.651***
CAR(-21,-1) 0.0922***
(0.19) 0.029** (0.166)
0.0632 2.634*** 2.718***
CAR(-20,-1) 0.0933***
(0.184) 0.0294** (0.158)
0.0639 2.774*** 2.507***
CAR(-19,-1) 0.0931***
(0.184) 0.031*** (0.154)
0.0621 2.748*** 2.466**
CAR(-18,-1) 0.0966***
(0.194) 0.0304***
(0.156) 0.0662 2.855*** 2.74***
CAR(-17,-1) 0.0974***
(0.186) 0.0336***
(0.162) 0.0638 2.718*** 2.82***
CAR(-16,-1) 0.0869***
(0.185) 0.0359***
(0.143) 0.051 2.354** 2.20**
CAR(-15,-1) 0.0877***
(0.189) 0.0353***
(0.136) 0.0524 2.47** 2.235**
CAR(-14,-1) 0.0807***
(0.181) 0.0372***
(0.132) 0.0435 2.128** 2.059**
CAR(-13,-1) 0.0782***
(0.177) 0.0375***
(0.130) 0.0407 2.035** 1.563
CAR(-12,-1) 0.0817***
(0.180) 0.0314***
(0.124) 0.0503 2.551** 1.735*
CAR(-11,-1) 0.0842***
(0.176) 0.0319***
(0.125) 0.0523 2.677*** 1.94*
CAR(-10,-1) 0.080*** (0.178)
0.033*** (0.122)
0.047 2.438** 1.333
CAR(-9,-1) 0.0729***
(0.163) 0.0285***
(0.118) 0.0444 2.42** 1.422
CAR(-8,-1) 0.0642***
(0.147) 0.0228***
(0.115) 0.0414 2.38** 1.881*
CAR(-7,-1) 0.0626***
(0.144) 0.018** (0.101)
0.0446 2.81*** 2.107**
CAR(-6,-1) 0.0565***
(0.133) 0.019** (0.102)
0.0375 2.42** 1.87*
CAR(-5,-1) 0.0543***
(0.14) 0.0243***
(0.108) 0.030 1.84* 1.287
CAR(-4,-1) 0.0509***
(0.138) 0.0269***
(0.089) 0.024 1.645 1.12
CAR(-3,-1) 0.0474***
(0.126) 0.0205***
(0.084) 0.0269 1.985* 1.181
CAR(0,0) 0.0538***
(0.141) 0.0495***
(0.128) 0.0043 0.236 1.176
CAR(0,1) 0.0635***
(0.136) 0.0669***
(0.241) -0.0034 -0.111 0.859
39
Table 2b Average CARs of rumor-announced and rumor-only targets and their differences, estimation based on time series between (-221,-22).
The estimation process for CAR is the same as Table 2a except for using an estimation window of (-221,-22). There are 72 rumor-announced firms and 188 rumor-only firms in the sample. The first column reports the average CARs of rumor-announced targets in the periods of (-21, -1) to (-3, -1), (0, 0) and (0, 1). The second column reports their counterparts for the rumor-only group and the third column documents the differences between the two groups. The results of T-test and Wilcoxon rank-sum test of mean difference are reported in the forth and fifth columns, respectively. Standard deviations are reported in parentheses. Symbols ***, ** and * indicate significance at the 0.01, 0.05 and 0.1 levels, respectively.
CAR Rumor-announced Rumor-only Mean difference T-statistic Wilcoxon rank-sum
CAR(-21,-1) 0.0925***
(0.195) 0.0306** (0.168)
0.0619 2.54** 2.577**
CAR(-20,-1) 0.0946***
(0.190) 0.0310***
(0.160) 0.0636 2.716*** 2.479**
CAR(-19,-1) 0.0943***
(0.190) 0.0320***
(0.156) 0.0623 2.703*** 2.49**
CAR(-18,-1) 0.0969***
(0.199) 0.0317***
(0.158) 0.0652 2.763*** 2.639***
CAR(-17,-1) 0.0979***
(0.192) 0.0347***
(0.165) 0.0632 2.638*** 2.737***
CAR(-16,-1) 0.0871***
(0.191) 0.0371***
(0.145) 0.050 2.274** 2.048**
CAR(-15,-1) 0.0878***
(0.194) 0.0366***
(0.137) 0.0512 2.387** 2.121**
CAR(-14,-1) 0.0807***
(0.185) 0.0388***
(0.134) 0.0419 2.018** 1.979**
CAR(-13,-1) 0.0781***
(0.180) 0.0391***
(0.130) 0.0390 1.931* 1.515
CAR(-12,-1) 0.0812***
(0.182) 0.0328***
(0.126) 0.0484 2.424** 1.756*
CAR(-11,-1) 0.0836***
(0.177) 0.0334***
(0.127) 0.0502 2.541** 1.913*
CAR(-10,-1) 0.0801***
(0.179) 0.0339***
(0.123) 0.0462 2.363** 1.366
CAR(-9,-1) 0.0727***
(0.164) 0.0299***
(0.121) 0.0428 2.30** 1.485
CAR(-8,-1) 0.0634***
(0.147) 0.0246***
(0.118) 0.0388 2.207** 1.808*
CAR(-7,-1) 0.0633***
(0.143) 0.0198** (0.104)
0.0435 2.704*** 2.232**
CAR(-6,-1) 0.055*** (0.131)
0.0207*** (0.105)
0.0343 2.199** 1.843*
CAR(-5,-1) 0.0545***
(0.137) 0.0251***
(0.108) 0.0294 1.819* 1.513
CAR(-4,-1) 0.0508***
(0.138) 0.0277***
(0.090) 0.231 1.583 1.122
CAR(-3,-1) 0.0471
(0.125)*** 0.0214
(0.086)*** 0.0257 1.888* 1.176
CAR(0,0) 0.0538***
(0.141) 0.0488***
(0.128) 0.050 0.275 1.227
CAR(0,1) 0.0655***
(0.137) 0.0659***
(0.241) -0.0004 -0.014 1.004
40
Table 3 Descriptive statistics of CARs and firm characteristics.
The sample of 259 US publicly listed target firms is split into two subsamples: the rumour-announced group in Panel A and the rumour-only group in Panel B. The descriptive statistics of CARi are based on data used in Tables 2a and 2b. The statistics of firm characteristics are calculated using data from Compustat from 1990 to 2008. Altman’s Z-score is calculated by formula Z = 1.2 (Working capital / Total assets) + 1.4 (Retained earnings / Total assets) + 3.3 (Earnings before interest and taxes /Total assets) + 0.6 (Market value of equity /Book value of total liabilities) + 0.999 (Sales / Total assets). Zmijewski Probability of bankruptcy is measured by the cumulative probability of the standard normal distribution at point X, where X = −4.3 – 4.5 (Net income/ Total assets) + 5.7 (Total liabilities / Total assets) − 0.004 (Current assets /Current liabilities). Both Altman Z-score and Zmijewski Probability use the annual data of the year immediately before rumor publication. Leverage is measured as total debt divided by the sum of market value of equity and total debt, Firm Size is the logarithm of market value of equity. These two variables use quarterly observations in the quarter just before the event date. Sales Growth is the average growth rate of sales of the four quarters just before the rumor publication.
Number of firm
Mean Standard deviation
Min 25% Median 75% Max
Panel A: Rumour-announced group CARi(-42,-1) 70 0.065 0.231 -0.698 -0.048 0.046 0.189 1.115 CARi(-21,-1) 71 0.091 0.196 -0.240 -0.005 0.059 0.142 1.069 Altman’s Z-score
49 7.401 28.045 -6.956 1.241 2.498 3.253 195.604
Zmijewski Probability
50 0.297 0.315 0.0001 0.018 0.188 0.511 0.999
Leverage 63 0.359 0.282 0 0.142 0.268 0.601 0.98 Firm size 67 7.18 2.14 1.016 6.152 7.562 8.776 10.632 Sales growth 56 0.086 0.113 0.0008 0.017 0.040 0.102 0.446
Panel B: Rumour-only group CARi(-42,-1) 187 0.029 0.229 -0.751 -0.073 0.027 0.142 0.777 CARi(-21,-1) 187 0.030 0.168 -0.680 -0.059 0.019 0.098 0.749 Altman Z 127 4.388 7.910 -3.505 1.467 2.659 4.694 83.78 Zmijewski Probability
134 0.284 0.319 0.0001 0.017 0.160 0.472 1.00
Leverage 156 0.345 0.285 0 0.094 0.281 0.533 0.979 Firm size 175 7.965 1.833 2.165 6.830 8.093 9.272 12.536 Sales growth 158 0.066 0.134 0.0003 0.0144 0.036 0.077 1.492
41
Table 4 OLS regression of cumulative abnormal return against firm characteristics.
The dependent variables in Panels A and in panel B are CAR of a target from day -42 to day -1 and day -21 to day -1, respectively. There are four models and each model comprises two sets of results reporting the regressions of the rumor-announced firms and rumor-only firms, respectively. Model 1 and Model 2 are simple OLS regressions for the relationship between CARi and Distressi variables using Altman’s Z-score and Zmijewski probability for Distressi, respectively, while Model 3 and Model 4 include all control variables in the regression. Control variables also include four industry dummies: manufacturing (SIC codes 30-39), communication (SIC codes 48 and 49), finance (SIC codes 60-99) and service (SIC codes 72-82). Heteroskedasticity-consistent standard errors are reported in parentheses. Symbols ***, ** and * indicate significance at the 0.01, 0.05 and 0.1 levels, respectively. Model 1 Model 2 Model 3 Model 4
Rumor-
announcedRumor-
only Rumor-
announcedRumor-
only Rumor-
announcedRumor-only
Rumor-announced
Rumor-only
Panel A: Dependent variable is CARi(-42,-1) Altman Z-score
-0.0014*** (0.0004)
0.0586*** (0.0013)
-0.0004 (0.0008)
0.072*** (0.0016)
Zmijewski Probability
0.364** (0.166)
-0.141** (0.066)
0.347** (0.165)
-0.23** (0.094)
Leverage 0.152
(0.184) 0.087
(0.117) -0.073 (0.166)
0.198 (0.136)
Firm Size -0.037* (0.019)
-0.0068 (0.017)
-0.025 (0.016)
-0.008 (0.016)
Sales growth
-0.105 (0.305)
-0.197 (0.339)
-0.228 (0.292)
-0.064 (0.092)
Constant 0.0994** (0.0391)
-0.007 (0.023)
-0.018 (0.050)
0.061** (0.024)
0.38** (0.17)
0.064 (0.175)
0.249* (0.145)
0.125 (0.159)
Industry dummy
No No No No Yes Yes Yes Yes
F statistics 11.73*** 19.86*** 4.77*** 4.60*** 5.56*** 3.58** 2.00* 1.19 R square 0.027 0.037 0.194 0.036 0.23 0.068 0.347 0.078 Number of firms
46 127 46 134 43 117 43 124
Panel B: Dependent variable is CARi(-21,-1) Altman Z-score
-0.0014*** (0.0004)
0.0044*** (0.0011)
-0.0005 (0.0005)
0.0056*** (0.0009)
Zmijewski Probability
0.291** (0.152)
-0.035 (0.054)
0.237* (0.126)
-0.042 (0.056)
Leverage 0.197
(0.159) -0.044 (0.087)
0.047 (0.155)
-0.055 (0.089)
Firm Size -0.051** (0.022)
-0.032* (0.173)
-0.043** (0.017)
-0.033* (0.017)
Sales growth
-0.096 (0.217)
-0.271 (0.212)
-0.217 (0.210)
-0.052 (0.083)
Constant 0.126*** (0.035)
0.005 (0.016)
0.027 (0.035)
0.036* (0.018)
0.045** (0.213)
0.290* (0.161)
0.374** (0.164)
0.327** (0.157)
Industry dummy
No No No No Yes Yes Yes Yes
F statistics 8.98*** 16.39*** 3.64* 0.43 10.21*** 7.55*** 3.31*** 1.13 R square 0.030 0.044 0.168 0.005 0.416 0.1671 0.477 0.106 Number of firms
47 127 47 134 44 117 44 124
42
Table 5 Investment outcomes of buying and holding the selected target stocks.
This table reports the outcomes of investment in the selected target stocks whose CARs in day -42 to day -1 or in day -21 to day -1 are greater than (i.e., winner stocks) or smaller than (i.e., loser stocks) a particular threshold. The outcomes of investing in all rumored targets are also reported in the end of each panel. In Panel A, stocks are selected from a sample of rumor-announced firms and rumor-only firms which have data for at least 252 trading days after rumor publication. Stocks in Panel B are selected from the sample of all rumor-announced firms and rumor-only firms. Selected stocks are bought at the closing price on the rumor day and then are sold in the open market on the day when the first takeover bid is announced or 252 trading days after the rumor day, whichever comes first. The column of Excess return shows the annualized excess returns of the investment profiles with their standard deviations in parentheses. The significance levels of excess returns are reported by statistics of T-test and Wilcoxon signed-rank test. The column of Average variance documents the average of the annualized variances of daily returns of invested stocks. Standard deviations are reported in parentheses. Symbols ***, ** and * indicate significance at the 0.01, 0.05 and 0.1 levels, respectively.
Investment strategy Observation Excess return
T-statistic Wilcoxon
signed-rank Average variance
Investment strategy Observation Excess return
T-statistic Wilcoxon
signed-rank Average variance
Panel A: Stocks are selected from a sample of all rumor-announced firms and rumor-only firms with one year return data
CARi(-42,-1)>0% 134 0.722
(2.475) 3.375*** 3.699*** 0.019 CARi(-21,-1)>0% 141
0.654 (2.822)
2.754*** 2.016** 0.026
CARi(-42,-1)<0% 89 0.291
(3.121) 0.881 -1.139 0.039 CARi(-21,-1)<0% 83
0.360 (2.631)
1.248 0.631 0.029
CARi(-42,-1)>2% 121 0.738
(2.545) 3.190*** 3.731*** 0.018 CARi(-21,-1)>2% 120
0.657 (2.692)
2.673*** 2.344** 0.023
CARi(-42,-1)<2% 102 0.327
(2.977) 1.109 -0.960 0.038 CARi(-21,-1)<2% 104
0.417 (2.824)
1.505 0.269 0.032
CARi(-42,-1)>4% 106 0.786
(2.665) 3.035*** 3.604*** 0.018 CARi(-21,-1)>4% 102
0.696 (2.887)
2.435** 1.995** 0.026
CARi(-42,-1)<4% 117 0.336
(2.823) 1.289 -0.695 0.036 CARi(-21,-1)<4% 122
0.419 (2.636)
1.758* 0.758 0.028
CARi(-42,-1)>6% 92 0.869 (2.82)
2.957*** 3.450*** 0.018 CARi(-21,-1)>6% 91 0.761
(3.037) 2.392** 2.058** 0.028
CARi(-42,-1)<6% 131 0.326
(2.692) 1.384 -0.349 0.034 CARi(-21,-1)<6% 133
0.398 (2.537)
1.807* 0.713 0.026
CARi(-42,-1)>8% 83 1.007
(2.909) 3.152*** 3.918*** 0.020 CARi(-21,-1)>8% 77
1.027 (3.177)
2.837*** 2.729*** 0.028
CARi(-42,-1)<8% 140 0.279
(2.628) 1.257 -0.599 0.032 CARi(-21,-1)<8% 147
0.293 (2.473)
1.438 0.257 0.026
CARi(-42,-1)>10% 74 1.053
(3.061) 2.960*** 3.521*** 0.022 CARi(-21,-1)>10% 58
0.893 (3.045)
2.234** 2.056** 0.028
43
CARi(-42,-1)<10% 149 0.300
(2.560) 1.431 -0.134 0.030 CARi(-21,-1)<10% 166
0.424 (2.639)
2.070** 0.928 0.027
CARi(-42,-1)>12% 68 1.140
(3.147) 2.987*** 3.691*** 0.022 CARi(-21,-1)>12% 47
1.124 (3.283)
2.346** 2.381** 0.033
CARi(-42,-1)<12% 155 0.291
(2.528) 1.434 -0.123 0.030 CARi(-21,-1)<12% 177
0.392 (2.580)
2.021** 0.887 0.025
All rumored firms 223 0.550
(2.752) 2.984*** 2.159** 0.027 All rumored firms 224
0.545 (2.751)
2.968*** 2.030** 0.027
Panel B: Stocks are selected from a sample of all rumor-announced firms and rumor-only firms
CARi(-42,-1)>0% 158 0.736
(2.913) 3.177*** 3.839*** 0.0363 CARi(-21,-1)>0% 161
0.775 (3.124)
3.149*** 2.349** 0.036
CARi(-42,-1)<0% 101 -0.073 (4.439)
-0.166 -1.001 0.117 CARi(-21,-1)<0% 99 -0.160 (4.262)
-0.373 0.223 0.118
CARi(-42,-1)>2% 141 0.718
(2.982) 2.857*** 3.757*** 0.0348 CARi(-21,-1)>2% 139
0.801 (3.079)
3.069*** 2.670*** 0.035
CARi(-42,-1)<2% 118 0.065
(4.207) 0.169 -0.657 0.107 CARi(-21,-1)<2% 121
-0.019 (4.127)
0.052 -0.053 0.105
CARi(-42,-1)>4% 126 0.755
(3.117) 2.721*** 3.617*** 0.037 CARi(-21,-1)>4% 119
0.873 (3.298)
2.888*** 2.445*** 0.040
CARi(-42,-1)<4% 133 0.103
(3.099) 0.298 -0.423 0.097 CARi(-21,-1)<4% 141
0.036 (3.843)
0.112 0.361 0.091
CARi(-42,-1)>6% 111 0.823
(3.293) 2.634*** 3.381*** 0.040 CARi(-21,-1)>6% 107
0.954 (3.46)
2.851*** 2.493*** 0.044
CARi(-42,-1)<6% 148 0.118
(3.797) 0.379 -0.034 0.089 CARi(-21,-1)<6% 153
0.046 (3.695)
0.153 0.374 0.084
CARi(-42,-1)>8% 100 0.967
(3.419) 2.829*** 4.071*** 0.044 CARi(-21,-1)>8% 92
1.218 (3.624)
3.224*** 3.177*** 0.047
CARi(-42,-1)<8% 159 0.077
(3.678) 0.263 -0.456 0.083 CARi(-21,-1)<8% 168
-0.018 (3.555)
-0.065 -0.078 0.079
CARi(-42,-1)>10% 90 1.005
(3.591) 2.654*** 3.619*** 0.048 CARi(-21,-1)>10% 73
1.162 (3.651)
2.718*** 2.631*** 0.052
CARi(-42,-1)<10% 169 0.109
(3.576) 0.398 0.057 0.078 CARi(-21,-1)<10% 187
0.130 (3.577)
0.496 0.575 0.074
CARi(-42,-1)>12% 84 1.072
(3.686) 2.664*** 3.769*** 0.050 CARi(-21,-1)>12% 60
1.434 (3.937)
2.821*** 3.044*** 0.061
CARi(-42,-1)<12% 175 0.108
(3.525) 0.405 0.061 0.076 CARi(-21,-1)<12% 200
0.115 (3.473)
0.468 0.505 0.069
All rumored firms 259 0.421
(3.600) 1.88* 2.355** 0.067 All rumored firms 260
0.419 (3.621)
1.868* 2.030** 0.067
44
Table 6 Descriptive statistics of pre-runup, post-runup, runup, markup and takeover premium. Pre-runupi is equal to the CAR of target i’s stock from day -42 to day -1 (or day -21 to day -1). Post-runupi is target i’s CAR from the day of the first rumor publication through the day before the first bid announcement. Runupi is the sum of Pre-runupi and Post-runupi. Markupi is the CAR from the day of the first bid announcement through delisting or 126 trading days, whichever comes first. Premiumi is the sum of Runupi and Markupi. Panels A and B report the descriptive statistics of the rumor-announced sample and the successful sample, respectively, using an estimation window of (-242, -43) to estimate excess returns and using CARi(-42, -1) for Pre-runupi. Panels C and D report the same items but using an estimation window of (-221, -22) to estimate excess returns and using CARi(-21, -1) for Pre-runupi. Symbols ***, ** and * indicate significance at the 0.01, 0.05 and 0.1 levels, respectively.
Mean
Standard deviation
Min 25% Median 75% Max
Panel A: rumor-announced sample with (-242, -43) estimation window Pre-runupi 0.0764*** 0.226 -0.698 -0.043 0.046 0.196 1.115 Post-runupi 0.036 0.292 -1.438 -0.029 0.018 0.124 0.932 Runupi 0.113** 0.413 -2.255 -0.107 0.068 0.357 1.308 Markupi -0.0089 0.329 -1.003 -0.159 -0.0008 0.131 1.081 Premiumi 0.104 0.634 -2.255 -0.107 0.068 0.357 2.017
Panel B: successful sample with (-242, -43) estimation window Pre-runupi 0.0795** 0.234 -0.698 -0.046 0.049 0.203 1.115 Post-runupi 0.022 0.284 -1.438 -0.024 0.017 0.115 0.659 Runupi 0.101* 0.413 -1.469 -0.031 0.092 0.294 1.308 Markupi -0.034 0.279 -1.004 -0.129 -0.009 0.096 0.433 Premiumi 0.068 0.603 -2.255 -0.079 0.062 0.348 1.741
Panel C: rumor-announced sample with (-221, -22) estimation window Pre-runupi 0.090*** 0.190 -0.24 -0.006 0.057 0.157 1.069 Post-runupi 0.035 0.272 -1.39 -0.187 0.024 0.123 0.856 Runupi 0.125*** 0.343 -1.426 -0.006 0.101 0.255 1.262 Markupi -0.0009 0.321 -0.098 -0.13 0.013 0.127 1.121 Premiumi 0.124* 0.560 -1.801 -0.014 0.111 0.288 1.689
Panel D: successful sample with (-221, -22) estimation window Pre-runupi 0.0908*** 0.199 -0.24 -0.007 0.045 0.164 1.069 Post-runupi 0.022 0.264 -1.39 -0.018 0.021 0.11 0.659 Runupi 0.113** 0.346 -1.426 -0.009 0.098 0.259 1.262 Markupi -0.023 0.272 -0.987 -0.127 0.010 0.116 0.451 Premiumi 0.090 0.533 -1.801 -0.012 0.097 0.265 1.689
45
Table 7 OLS regression of takeover premium against pre-runup and post-runup. The table reports the results of the following regression, Premiumi = a + b1 Pre-runupi + b2 Post-runupi + ui. Dependent variable Premiumi is equal to the sum of Pre-runupi, Post-runupi and Markupi. Pre-runupi is measured by the CAR of target i’s stock from day -42 to day -1 in Panel A and from day -21 to day -1 in Panel B. Post-runupi is the CAR from the day of the first rumor date through the day before the first bid announcement. Markupi is the CAR from the day of the first bid announcement through delisting or 126 trading days, whichever comes first. Each panel includes a sample of all rumor-announced targets and a sample of targets being successfully taken over. Heteroskedasticity-consistent standard errors are reported in parentheses. Symbols ***, ** and * indicate significance at the 0.01, 0.05 and 0.1 levels, respectively.
Sample Sample
size Pre-runup
T-statistic for b1 ≤ 1
Post-runup
T-statistic for b2 ≤ 1
Intercept R2
Panel A: Pre-runupi = CARi(-42, -1) Rumor-announced
72 1.635*** (0.197)
3.217*** 1.198*** (0.149)
1.326 -0.083 (0.051)
0.5729
Successful 60 1.599*** (0.178)
3.359*** 1.148*** (0.113)
1.315 -0.043 (0.044)
0.7464
Panel B: Pre-runupi = CARi(-21, -1) Rumor-announced
72 1.459*** (0.397)
1.156 1.180*** (0.205)
0.88 -0.068 (0.056)
0.4461
Successful 60 1.760*** (0.190)
3.99*** 1.251*** (0.116)
2.156** -0.061 (0.046)
0.7126
46
Table 8 OLS regression of takeover premium against runup.
This table reports the results of the following regression, Premiumi = a + b Runupi + ui.
Dependent variable Premiumi is equal to the sum of Runupi and Markupi. In Panels A and B, event day (day 0) is the day when the rumor is published first time and Runupi is the sum of Pre-runupi and Post-runupi, where Pre-runupi is the CAR of target i’s stock from day -42 to day -1 in Panel A and from day -21 to day -1 in Panel B, and Post-runupi is the CAR from the event day through the day before the first bid announcement. In panel C, day 0 is the day when the first bid is announced and Runupi is measured by the CAR of target i’s stock from day -42 to day -1. Markupi in all three panels is the CAR from the day of the first bid announcement through delisting or 126 trading days, whichever comes first. Heteroskedasticity-consistent standard errors are reported in parentheses. Symbols ***, ** and * indicate significance at the 0.01, 0.05 and 0.1 levels, respectively.
Sample Sample size Runup T-statistic for b ≤ 1
Intercept R2
Panel A: Pre-runupi = CARi(-42,-1) with the rumor publication day as the event day Rumor-announced
72 1.387*** (0.139)
2.779*** -0.081 (0.054)
0.5590
Successful 60 1.346*** (0.128)
2.71*** -0.036 (0.046)
0.7264
Panel B: Pre-runupi = CARi(-21,-1) with the rumor publication day as the event day Rumor-announced
72 1.286*** (0.249)
1.148 -0.061 (0.053)
0.4398
Successful 60 1.440*** (0.149)
2.964*** -0.043 (0.049)
0.6844
Panel C: Runupi = CARi(-42,-1) with the first takeover announcement day as the event dayRumor-announced
70 1.021** (0.393)
0.053 0.009
(0.067) 0.2540
Successful 58 1.466*** (0.271)
1.72* -0.023 (0.063)
0.5311
47
Table 9 Descriptive statistics of the runup, markup and takeover premium when event day is the first bid announcement day. Event day is the day when the first bid is announced. Estimation window extends from day -379 to day -127. Runupi is equal to the CAR of target i’s stock from day -42 to day -1. Markupi is the CAR from the event day through delisting or 126 trading days, whichever comes first. Premiumi is the sum of Runupi and Markupi. Panels A and B report the descriptive statistics of the rumor-announced sample and the successful sample, respectively. Symbols ***, ** and * indicate significance at the 0.01, 0.05 and 0.1 levels, respectively.
Mean Standard deviation
Min 25% Median 75% Max
Panel A: Rumor-announced sample (N = 70) Runup 0.163*** 0.229 -0.316 0.035 0.107 0.255 1.054 Markup 0.012 0.401 -1.591 -0.098 -0.020 0.227 0.828 Premium 0.175*** 0.464 -1.401 -0.004 0.173 0.393 1.353
Panel B: Successful sample (N = 58) Runup 0.150*** 0.216 -0.316 0.035 0.106 0.255 1.054 Markup 0.045 0.314 -1.258 -0.086 -0.014 0.227 0.828 Premium 0.197*** 0.434 -1.401 0.010 0.203 0.419 1.065