Does the choice of the method for combining listed companies have an impact on their valuation?
Levyne, Olivier ; Levy, Jean-Jacques
I. INTRODUCTION
The first part of this article reviews the features of the general
regulations of the Financial Markets Authority that must be considered
when discussing tender offers. This regulatory context leads us to
distinguish the normal from the simplified proceedings, according to the
bidder's financial interest and control on its target before
launching the operation. In addition, the type of shareholders'
payment leads to a distinction between tender offers in cash and in
shares, each of which expresses the objectives and constraints of the
bidder.
The second part presents a review of the literature devoted to
valuation in the context of takeover bids. In particular, it refers to
value creation and transfers of wealth between shareholders, on the one
hand of the bidder and, on the other hand, of the target.
The third part focuses on empirical studies. They are based on an
analysis of the combinations between listed French companies in the
non-financial sector during the 1999-2004 period. This study establishes
that the levels of premiums, in relation to the target's latest
stock-exchange quotation prior to the announcement of the operation, are
not significantly affected by the type of payment (cash or shares). But
a takeover bid under the simplified proceedings is better valued higher
than a tender offer in the normal proceedings. Lastly, the premiums seen
in squeeze outs are not significantly different from those encountered
in tender offers. Then, the lower the level of premium in relation to
the results of a multi-criteria analysis is offered, the more
sophisticated is the valuation method. An approach based on net
assets--revalued or estimated--then emerges as the best guideline for
determining the offer price. This suggests the existence of an
uncertainty premium in approaches based on analogical methods (listed
peer groups multiples) and discounted cash flows.
II. REGULATORY ASPECTS OF TAKEOVER BIDS
According to the general regulations of the Financial Markets
Authority, a combination between listed companies involves several
stages: the first is the launching of the bid, which can take place
either under the normal proceedings or under the simplified proceedings.
Should a competing bid appear, the bidder may also raise its own bid and
face a stock-market battle. Moreover, a tender offer in cash, as a
tender offer in shares, may be followed by a withdrawal offer from the
quotation, and possibly by a squeeze-out. The first phase of a takeover
bid is the submission by the bid's presenting financial firm to the
Financial Markets Authority (AMF) of a document describing the
bidder's objectives and intentions, the number and nature of the
target company's securities that it already holds alone or jointly,
or that it has independent access to, as well as the date and the terms
on which their acquisition has been or can be carried out, the price
(for a tender offer in cash) or the exchange ratio (for a tender offer
in shares) at which the bidder is offering to acquire the securities,
the information employed to establish these items, the terms of payment
or exchange proposed and any suspensive conditions affecting the
execution of the operation. In assessing the admissibility of the draft
bid, the AMF considers the bidder's objectives and intentions, the
price or the exchange ratio, according to usually-accepted valuation
criteria, the features of the target company, the nature, features, and
market for the securities offered in exchange and the suspensive
conditions imposed by the bidder.
When the bidder acting alone or jointly holds less than half of the
capital or of the voting rights in the target company, only the normal
proceedings for a tender offer is applicable. The timetable for the bid
is set according to the publication date either of the joint bid
documents prepared by the bidder and the target company, or of the
responding document prepared by the target company. The period between
the date of this publication and the closing date is twenty-five market
days, but the tender period can be extended to thirty-five market days.
No minimum price is mentioned by the AMF. The simplified takeover bid
proceedings can be employed when the bid is issued by a shareholder who
already holds, either directly or indirectly, alone or jointly, in the
meaning of Article L.233-10 of the French Commercial Code, at least half
of the capital and voting rights in a company. In that case the minimum
price of the shares corresponds to the average of the last 60 prices on
the stock exchange, weighted by the daily volumes of transactions.
III. HIGHLIGHTS FROM THE LITERATURE
The financial literature concerning the market for corporate
control casts light on the motivations for launching a takeover bid, the
justification for the premium paid by the bidder, and the return
provided to the investors. Singh (1971) notes that takeover bids, which
appeared in the mid 1950s, constitute an alternative to direct mergers,
in the sense that they allow the bidder of the operation to address the
shareholders of the target company directly, without having to hold
prior discussions with its management. Over and above the advantages of
synergy, the concentration of companies through takeover bids thus
appears to represent a way of correcting management decisions that may
be harmful to the company. During the 1980s, takeover bids became a
standard method for acquiring companies in the United Kingdom and the
United States. For example, Mitchell and Mulherin (1996) report that
about a quarter of listed American companies were the object of a
hostile takeover during this period. But only friendly takeovers, i.e.
ones negotiated with the target's management, were regularly
crowned with success. Thus, Schwert (2000) states that hostile takeovers
account for only 30% of all transactions. This relatively small
proportion should not, however, lead to underestimate hostile takeovers,
as the terms of certain friendly takeovers might not have been accepted
by the target's management if it had not been threatened by an
unsolicited bid. Outside the United Kingdom and the United States,
takeover bids were far from widespread in the 1980s, and hostile
takeovers almost unknown. Holmstrom and Kaplan (2001) note that takeover
bids, mostly friendly in nature, experienced an unprecedented boom in
the United States during the 1990s; moreover, hostile takeovers were
extremely rare, outside the United Kingdom, until the end of the 1990s.
In 1999 only, unsolicited bids began to multiply in continental Europe,
notably with the Vodafone-Mannesmann operation.
Many empirical studies have addressed the return on shares around
the date the bid is announced. They all show that this type of operation
creates value for the target's shareholders. The work of Andrade et
al. (2001) and Brunner (2002) establish that the shareholders of a
target record a 15 to 30% exceptional return. McCahery et al. (2004)
reach the same conclusions concerning the English market, while Goergen
and Rennelboog (2004) and Campa and Hernando (2004) find that the
exceptional return is only 10% on the European continental markets. The
results are less conclusive for shareholders in the company that
initiates the operation. Thus, Goergen and Renneboog (2004) and Schwert
(1996) report positive returns while Andrade et al. (2001) find negative
returns. In any event, the returns range between -5% and +5%. Moreover,
Mitchell and Stafford (1998), find, on the one hand, returns which are
not significantly unusual for shareholders of the bidder, and on the
other hand, a lack of significant difference in terms of return
according to the method employed for the operation (payment in cash
versus payment in securities). In sum, a bid does create shareholder
value, mainly to the benefit of the shareholders of the target. Some
studies based on the analysis of accounting data attempt to identify
factors to explain the creation of shareholder value by comparing the
performance of the bidder and of the target before and after the
launching of a takeover bid. Once again, the results are contradictory.
Thus Healy et al. (1992) find an improvement in the operating cash flows
of the combined company, compared to its peers, and Lichtenberg and
Siegel (1989) report an increase in its productivity. On the other hand,
McGuckin and Nguyen (1995), like Schoar (2002), show that a takeover bid
is not followed by a significant improvement in performance. Finally,
Ravenscraft and Scherer (1987) show that the target's performance
deteriorates after the launching of a takeover bid.
The value creation depends on the price which is offered to the
target's shareholders. The following section examines the level of
the premium over different valuation approaches according to the type of
tender offer.
IV. EMPIRICAL STUDIES
A. Confidence Limits of Offered Premiums
1. Methodology
The market capitalization is the main valuation reference enabling
an assessment of the financial terms of a takeover bid. This section
examines the premiums offered in financial operations carried out on
French companies between 1999 and 2004 for which tender documents
approved by the COB are available on the AMF's website. Operations
concerning financial institutions like Credit Agricole's for Credit
Lyonnais were excluded from the study: the concentration level already
achieved in the banking sector and the resulting scarcity effect leads
to extreme levels of premiums. The premiums discussed below are taken
from the COB (or AMF) documents and have not been recalculated. We have
thus analyzed 22 tender offers in cash under the normal proceedings, 54
tender offers in cash under the simplified proceedings 10 tender offers
in shares for a total of 86 takeover bids. In addition 43 squeeze-outs
were examined. 2 tender offers under the simplified proceedings were
also identified. They were nevertheless excluded from the study, in view
of the statistical insignificance of such a small sample.
In accordance with AMF recommendations, the premiums were
calculated by comparing the price offered in each operation to the last
quoted stock-exchange price before the suspension of listings, and to
the average price for one month, two months, three months, six months,
and 12 months preceding the announcement of the bid. We thus have a list
of six premiums per operation. After having listed each of the six
premiums per operation studied, the mean premiums per category of
operation were calculated. The mean premiums were calculated on the
basis of a sample of operations. Consequently, conclusions may be drawn
from this study only in terms of confidence limits.
From a statistical viewpoint, the confidence limit of a mean m is
obtained by using the property for which the variable Z = [bar.X] - m /
S/[square root of n] obeys a Student's law with n-1 degrees of
freedom, where [bar.X] is the empirical mean obtained from a sample
composed of observations [X.sub.1],[X.sub.2], ...[X.sub.N]; n is
therefore equal to the number of observations; [bar.X] = 1/n
[n.summation over (i=1)][X.sub.i]; S is the standard deviation found for
the sample, hence: S = [square root of 1/n-1 [n.summation over
(i=1)][([X.sub.i] -[bar.X]).sup.2]. A table of Student's law
provides a figure for the real number b that satisfies: P[Z<b] =
1-[alpha]. Then: b = [F.sup.-1](1 - [alpha]/2) where F is the
distribution function of Student's law. Thus for a confidence level
of 95%, [alpha] = 5% and b = [F.sup.-1](1 - 0.05/2) = [F.sup.-1] (0,975)
obtained from a direct reading of Student's table. Once b is known,
m can be isolated: P[[bar.X] - b. S/[square root of n] < m <
[bar.X] + b. S/[square root of n] = 1 - [alpha].
2. Description of the Data
Appendix 1 shows, for each transaction (tender offer, in cash or in
share, in the normal or in the simplified proceedings and squeeze outs),
the date on which the market was informed of the subsequent start of the
operation, the name of the bidder and of the target, the valuation of
100% of the equity implied by the offer price and the premiums offered
in relation to the last quotation before the suspension of listings and
in relation to the mean quotations.
3. Results
Table 1 presents, for each transaction modality, the average (or
mean), the standard deviation and the 95% confidence interval of the
premium regarding the last spot price, the average prices (1 month, 2
months, 3 months, 6 months, 1 year), and the valuation issued from
traditional approaches: listed peer groups, DCF, sum of the parts (SotP)
or net asset value (NAV).
For example, taking all tender offers into account (except tender
offers in shares in the simplified proceedings) it can be stated, with a
5% chance of error, that the average premium (corresponding to the
simple mean of the premiums) with respect to the last quotation before
suspension of the listings of the targeted companies lies between 17%
and 33%.
B. Analysis of the Significance of Differences between Premiums
Offered in Relation to the Last Quotation before the Suspension of
Listings
1. Methodology
The confidence limits in the preceding section suggest that the
average offered price is equal, for a tender offer in cash (under the
normal or simplified proceedings), to the average offered price in a
tender offer in shares. In the same context, the confidence limits for
the average premiums offered by category of operation suggest that the
premium in a simplified bid is different from that offered under the
normal proceedings (tender offer in cash and in shares). Finally,
bearing in mind the need to obtain a confirmation from an independent
expert of the offered price in a squeeze-out, it is possible to imagine
that the average level of premium may be noticeably different in a
squeeze-out and in a tender offer in which the shareholders of the
target company are free to tender their securities to the bidder or to
retain them. These three comments made on a sample of operations may be
extended to all the operations by conducting a test of significance
ofthe difference between two means.
2. Description of the Data
Table 2 repeats the means for premiums offered by category of
operation, based on the data analyzed in the preceding sections: tender
offers in cash under the normal and simplified proceedings, tender
offers in shares in the normal proceedings, tender offers in cash under
the simplified proceedings, tender offers under the normal proceedings,
squeeze-outs and all tender offers (except those in shares under the
simplified proceedings).
The data used for the analysis of significant differences between
mean premiums offered in relation to the last quotations before
suspension of listings are shown in the first column of this table.
3. Description of the Test
The proposed test can take two forms. It will be a traditional
Student's test if the standard deviations of the premiums being
compared are equal; if the standard deviations of the premiums being
compared are different, an Aspin-Welch test should be employed. In this
regard, it is necessary to conduct firstly a comparison test of the
standard deviations of the premiums. For this purpose we use the
property for which the variable T = [S.sup.2.sub.x]/[S.sup.2.sub.y] x
[[sigma].sup.2.sub.Q]/[[sigma].sup.2.sub.P] obeys a Fisher-Snedecor law
for parameters [n.sub.p] -1 and [n.sub.Q] -1.
[S.sup.2.sub.X] = square of the standard deviation of premiums
found for a first sample.
[S.sup.2.sub.Y] = square of the standard deviation of premiums
found for a second sample.
[[sigma].sup.2.sub.P] = variance of the premiums for all the
operations the first sample.
[[sigma].sup.2.sub.Q] = variance of the premiums for all the
operations from the second sample.
[n.sub.P]= size of the first sample and [n.sub.Q] = size of the
second sample. The test for standard deviations boils down to assume
that [[sigma].sup.2.sub.P] = [[sigma].sup.2.sub.Q]. Under this
assumption: [T.sub.0] = [S.sup.2.sub.X]/[S.sup.2.sub.Y] obeys
F([n.sub.P]-1 [n.sub.Q]-1). We then calculate, using the compared
samples, the number [t.sub.0] that satisfies: [t.sub.0] =
[S.sup.2.sub.X]/[S.sup.2.sub.Y]. The table for the Fisher-Snedecor law
provides the value of the real number c, such that P[T>c] = 5% where
T obeys the law F(m,n). Thus, if [t.sub.0] > c, the assumption of
equality of standard deviations must be rejected, with a 5% chance of
being wrong.
Let [MATHEMATICAL EXPRESSION NOT REPRODUCIBLE IN ASCII]. T obeys a
Student's law with [n.sub.p]+[n.sub.Q]-2 degrees of freedom. Thus,
assuming [m.sub.P]=[M.sub.Q], [MATHEMATICAL EXPRESSION NOT REPRODUCIBLE
IN ASCII] obeys a Student's law with [n.sub.P]+[n.sub.Q]-2 degrees
of freedom. Using the compared samples, we then calculate the number:
[MATHEMATICAL EXPRESSION NOT REPRODUCIBLE IN ASCII]. It is also possible
to calculate the value of the real number c such that P[-c<T<c] =1
- [alpha], hence : c = [F.sup.-1] (1 - [alpha]/2) where F is the
distribution function of Student's law. Thus for a confidence level
of 95%, [alpha] = 5% and c = [F.sup.-1] (0,975) which can be obtained
directly from the Student's law table. Consequently, if -c <
[t.sub.0] < c, then the assumption of equality of means may be
accepted with a 5% chance of error. If the unknown standard deviations
are different, the Aspin-Welch test can be used. Let T = [bar.X] -
[bar.Y]/.[square root of [S.sup.2.sub.X]/[n.sub.P] +
[S.sup.2.sub.Y]/[n.sub.Q]; T obeys a Student's law with n degrees
of freedom, where:
[MATHEMATICAL EXPRESSION NOT REPRODUCIBLE IN ASCII]. The decision
rule is the same as in the Student's test.
4. Results
A. Comparison Test of Mean Premiums for Tender Offers in Cash and
in Shares
Table 3 repeats the information employed in the test for variances:
This table indicates that the estimator of the mean premium is 9%
for tender offers in cash and 25% for tender offers in shares. Also, the
estimator of the variance of the premiums is 11% for tender offers in
cash and 4% for tender offers in shares. These estimators were
calculated on the basis of the empirical observation of [n.sub.P] = 21
tender offers in cash and [n.sub.Q] = 10 tender offers in shares.
Assuming the variances are equal, the variable [T.sub.0] obeys a
Fisher-Snedecor law with [n.sub.P] -1=20 and [n.sub.Q] -1=9 degrees of
freedom. Moreover the value [t.sub.0] taken by [T.sub.0] (called "F
stat" in the table above) for our samples of operations is equal to
[S.sup.2.sub.X] /[S.sup.2.sub.Y] = 2.42. Furthermore, assuming that the
variances are equal, the probability that [T.sub.0] be greater than
2.94--this number is called the "F critical one-tail" in the
table above--is only 5%. Thus as [t.sub.0] is less than 2.94, we may
conclude, with a 5% chance of error, that the variances of premiums on
tender offers in cash and in shares are not significantly different. For
testing the equality of the means, this implies a Student's test,
as presented in Table 4.
The estimators of means and variances were calculated on the basis
of the empirical observation of [n.sub.P] = 21 tender offers in cash and
[n.sub.Q] = 10 tender offers in shares. We find that, assuming equality
ofthe means, the variable [T.sub.0] obeys a Student's law with
[n.sub.P] +[n.sub.Q] -2 = 21 + 10 - 2 = 29 degrees of freedom. Moreover,
based on the samples, [t.sub.0] (called "t Stat" in the table
above) is equal to -1.41. In addition, the critical value of t for a
bilateral test is 2.05. Consequently, if the mean premiums are equal,
there is a 95% chance that t lies between -2.05 and +2.05. As [t.sub.0]
falls within this interval we may conclude, with a 5% chance of error,
that the premiums of tender offers in cash and in shares are not
significantly different.
B. Comparison Test of Mean Premiums in Normal and Simplified
Proceedings
Table 5 repeats the information employed in the test for variances.
Assuming that the variances are equal, the probability that
[T.sub.0] be greater than 1.76 - this number is called the "F
critical one tail" in the above table--is only 5%. Thus as
[t.sub.0] is less than 1.76, we may conclude, with a 5% chance of error,
that the standard deviations of bid premiums under the normal and
simplified proceedings, are not significantly different. For testing the
means, this implies a Student's test which is presented in Table 6.
According to this table, if the mean premiums are equal, there is a
95% chance that t be between -1.99 and +1.99. As [t.sub.0] (equal to
2.13) lies outside this interval, we may conclude, with a 5% chance of
error, that the premiums for bids under the normal proceedings and under
the simplified proceedings are significantly different.
C. Comparison Test for Mean Premiums Obtained from Squeeze-outs and
Tender Offers
Table 7 repeats the information employed in the test for variances.
Assuming that the variances are equal, the probability that
[T.sub.0] be greater than 0.63 is only 5%. Thus as [t.sub.0] is greater
than 0.63, we may conclude, with a 5% chance of error, that the standard
deviations of the premiums in squeeze-outs and in tender offers are
significantly different. The test for means then becomes an Aspin-Welch
test as presented in Table 8.
According to the above table, if the mean premiums are equal, there
is a 95% chance that t lies between -1.99 and +1.99. As long as
[t.sub.0] (equal to 0.26) falls within this interval we may conclude,
with a 5% chance of error, that the premiums offered in squeeze-outs and
tender offers are not significantly different.
D. Premiums Offered in Relation to Various Valuation Approaches
The tender documentation approved by the AMF usually shows premiums
offered under traditional valuation approaches, in particular listed
peer groups, DCF, and NAV or SotP. Appendix 2 presents, for each tender
offer, the premiums offered in relation to these approaches. As shown,
we can state, with a 5% chance of error, that the average premium over
the valuation obtained from listed peer groups lies between 41% and 62%,
taking all tender offers into account (except tender offers in shares in
the simplified proceedings). The average premium offered over the DCF
valuation ranges between 12% and 33%.
V. CONCLUSION
Table 9 repeats the levels of premiums in relation to the last
quotation before suspension of listings, and the results of tests of
assumptions at the 5% threshold.
It shows that the method for combining listed companies (cash
versus share offer) has no significant impact on the level of premium
and therefore on the valuation of the target. It also shows that the
premiums are higher in simplified proceedings than in normal ones
perhaps because of the willingness of the bidder to be easily allowed by
the AMF to launch a bid whereas a conflict of interest might be
suspected, the target being controlled by the bidder.
Moreover, the low level of premium over the NAV or SotP--as
presented in the table below--demonstrates that this approach
constitutes the principal criterion for establishing the offered price.
Since the SotP and the NAV represent the most sophisticated approaches
to valuation, this suggests that the offered price in a tender offer in
cash includes an uncertainty premium in relation to the other valuation
approaches.
Appendix 1
Features and premiums on tender offers in cash
Announcement Kind of Premium over
date transaction
Average
Spot
1 M 2 M 3 M
29/11/1999 TO Cash--Normal proc 10% 43% 45% 48%
09/12/1999 TO Cash--Normal proc -- 30% -- 29%
09/12/1999 TO Cash--Normal proc 84% 79% 78% 79%
25/04/2000 TO Cash--Normal proc -47% -49% -- -57%
11/07/2000 TO Cash--Normal proc 4% 9% -- 15%
06/09/2000 TO Cash--Normal proc 13% 32% -- 42%
15/09/2000 TO Cash--Normal proc 13% 33% -- 57%
25/10/2000 TO Cash--Normal proc 3% 0% -2% -3%
12/01/2001 TO Cash--Normal proc 21% 29% -- 28%
21/02/2001 TO Cash--Normal proc 25% 30% -- 43%
23/03/2001 TO Cash--Normal proc 21% 27% -- 32%
25/01/2002 TO Cash--Normal proc 4% 46% 55% 54%
28/03/2002 TO Cash--Normal proc 52% 62% 72;25% 82%
04/06/2002 TO Cash--Normal proc 9% 9% 11% 13%
19/08/2002 TO Cash--Normal proc 1% 18% -- 17%
11/12/2002 TO Cash--Normal proc -1% 1% -- 4%
18/02/2003 TO Cash--Normal proc 4% 8% -- 10%
09/07/2003 TO Cash--Normal proc 17% 12% 11% 17%
17/07/2003 TO Cash--Normal proc -90% -91% -- -93%
20/02/2004 TO Cash--Normal proc 7% 20% -- 19%
04/02/2005 TO Cash--Normal proc 12% 6% 6% 6%
23/07/2003 TO Cash--Normal proc 18% 18% -- 17%
03/02/2000 TO Cash--Simplif proc -19% -- -17%
11/02/2000 TO Cash--Simplif proc 1% 10% -- -1%
28/02/2000 TO Cash--Simplif proc -- -- -- --
03/05/2000 TO Cash--Simplif proc 4% 4% 0% 4%
15/06/2000 TO Cash--Simplif proc 11% 24% -- 34%
23/06/2000 TO Cash--Simplif proc 26% 28% -- 35%
27/06/2000 TO Cash--Simplif proc 17% -- -- --
06/07/2000 TO Cash--Simplif proc 59% 72% 72% 75%
16/10/2000 TO Cash--Simplif proc 96% 115% 115% 98%
03/11/2000 TO Cash--Simplif proc 8% 9% -- 12%
10/11/2000 TO Cash--Simplif proc 2% 22% 25% 26%
07/12/2000 TO Cash--Simplif proc 16% 13% -- 15%
08/02/2001 TO Cash--Simplif proc 45% 41% -- 52%
26/04/2001 TO Cash--Simplif proc 6% 5% -- 6%
27/04/2001 TO Cash--Simplif proc 33% 31% 31% 31%
09/05/2001 TO Cash--Simplif proc 5% 3% 22% 19%
25/06/2001 TO Cash--Simplif proc 45% -- -- --
27/06/2001 TO Cash--Simplif proc 62% 19% -- 20%
04/07/2001 TO Cash--Simplif proc 26% 19% -- 22%
09/07/2001 TO Cash--Simplif proc 18% 24% -- 28%
18/07/2001 TO Cash--Simplif proc 41% 43% -- 37%
02/08/2001 TO Cash--Simplif proc -8% -2% -- 0%
22/10/2001 TO Cash--Simplif proc 44% 73% -- 40%
27/11/2001 TO Cash--Simplif proc 16% 20% -- 38%
27/12/2001 TO Cash--Simplif proc 55% 55% -- 51%
15/01/2002 TO Cash--Simplif proc 23% 28% -- 34%
05/03/2002 TO Cash--Simplif proc 13% 19% 17% 15%
14/03/2002 TO Cash--Simplif proc 9% 9% -- 14%
25/03/2002 TO Cash--Simplif proc 23% 39% 40% 38%
11/04/2002 TO Cash--Simplif proc 38% 38% -- 35%
26/06/2002 TO Cash--Simplif proc -12% 9% -- -29%
05/09/2002 TO Cash--Simplif proc 27% 32% -- 40%
10/09/2002 TO Cash--Simplif proc 213% 167% -- 133%
09/10/2002 TO Cash--Simplif proc -- 5% -- 3%
10/10/2002 TO Cash--Simplif proc 45% 47% 46% 46%
17/10/2002 TO Cash--Simplif proc 41% 37% -- 35%
01/11/2002 TO Cash--Simplif proc -1% 0% -1% -1%
25/11/2002 TO Cash--Simplif proc 49% 66% -- 50%
29/11/2002 TO Cash--Simplif proc -8% -8% -8% -9%
33% 34,8% 62,2% 76,5%
05/12/2002 TO Cash--Simplif proc -- -- -- --
28/01/2003 TO Cash--Simplif proc 47% 50% -- 47%
04/04/2003 TO Cash--Simplif proc 30% 38% -- 25%
02/06/2003 TO Cash--Simplif proc 100% 93% 102% 112%
24/06/2003 TO Cash--Simplif proc 47% 84% -- 164%
09/10/2003 TO Cash--Simplif proc 28% -- -- 52%
07/11/2003 TO Cash--Simplif proc 146% 120% -- 118%
14/11/2003 TO Cash--Simplif proc 3% 3% -- 14%
12/12/2003 TO Cash--Simplif proc -1% 0% -- 0%
15/12/2003 TO Cash--Simplif proc 12% 11% -- 13%
02/01/2004 TO Cash--Simplif proc -- 67% 46% 58%
07/01/2004 TO Cash--Simplif proc 62% -- 69% --
01/03/2004 TO Cash--Simplif proc 9% 2% -- 0%
06/04/2004 TO Cash--Simplif proc 8% 1% -- --
08/06/2004 TO Cash--Simplif proc 8% 9% -- 7%
Announcement Premium over
date
Average
Listed DCF SotP
6 M 1 Y peers or NAV
29/11/1999 64% 84% -- -- --
09/12/1999 37% 54% 41% 17% --
09/12/1999 83% 82% -- -- --
25/04/2000 -59% -63% -- -16% --
11/07/2000 22% 20% 21% -- --
06/09/2000 32% 22% 48% -- --
15/09/2000 28% 37% 13% -- --
25/10/2000 -18% -13% 123% -- --
12/01/2001 49% 69% 126% 29% --
21/02/2001 59% 67% -- -- --
23/03/2001 7% -15% -- 22% --
25/01/2002 42% 32% 56% -- --
28/03/2002 95% 119% 186% -- --
04/06/2002 14% 10% 5% -3% --
19/08/2002 22% 15% 27% 14% --
11/12/2002 3% -9% 4% -8% --
18/02/2003 10% 9% -- -- 1%
09/07/2003 16% 14% -- -- --
17/07/2003 -93% -92% -- -- --
20/02/2004 16% 25% -- -- --
04/02/2005 7% 7% 89% -- --
23/07/2003 17% 17% 26% -1% --
03/02/2000 -17% -19% -- -12% --
11/02/2000 2% 6% -- -- --
28/02/2000 -- -- -- -- --
03/05/2000 0% 6% -- -- --
15/06/2000 37% 49% -- -- --
23/06/2000 50% 90% -- -- --
27/06/2000 -- -- -- -- --
06/07/2000 81% 78% 63% -- --
16/10/2000 117% 143% -- -- 5%
03/11/2000 16% 14% 25% -- -7%
10/11/2000 33% 48% -- -- -5%
07/12/2000 -- 13% 59% -- --
08/02/2001 45% 32% 41% 8% --
26/04/2001 7% 9% -- -- --
27/04/2001 31% 50% -- -- --
09/05/2001 32% 31% 9% -- --
25/06/2001 -- -- -- 2% --
27/06/2001 28% 56% 19% 2% --
04/07/2001 32% 34% -- -- 44%
09/07/2001 37% 35% 45% -- --
18/07/2001 33% 20% 26% 3% --
02/08/2001 2% 4% 22% -- 0%
22/10/2001 21% 8% -- -- --
27/11/2001 39% 14% 23% -- -12%
27/12/2001 49% 45% 59% 31% --
15/01/2002 43% 50% 5% -- --
05/03/2002 31% -3% -- -- --
14/03/2002 18% 23% 25% 6% --
25/03/2002 -- -- -- -- --
11/04/2002 32% 22% 158% -- 74%
26/06/2002 -44% -44% 2% 9% 20%
05/09/2002 52% 65% -- 0% 46%
10/09/2002 87% -- 40% 134% 20%
09/10/2002 9% 20% -- 6% 27%
10/10/2002 48% 46% -- 5% 41%
17/10/2002 24% 13% -- -- -12%
01/11/2002 -- -- 40% -- --
25/11/2002 22% -- 6% 17% 4%
29/11/2002 -30% -- 74% -- --
100% -- 64% 32% 20%
05/12/2002 -- 6,25% -- -- --
28/01/2003 47% 44% -- -- 0%
04/04/2003 21% 19% 16% 3% --
02/06/2003 114% 105% 103% 40% 16%
24/06/2003 166% 126% -- 29% 5%
09/10/2003 65% 45% 16% 3% --
07/11/2003 -- -- 118% -- 0%
14/11/2003 21% 17% -- 23% --
12/12/2003 -1% 0% -- -- -18%
15/12/2003 14% 28% 19% -- --
02/01/2004 89% 103% 11% 9% --
07/01/2004 69% 66% 4% 12% --
01/03/2004 -15% -43% 168% 249% --
06/04/2004 -1% -4% 76% 47% --
08/06/2004 8% 14% 19% -- 0%
Appendix 2
Features and premiums on tender offers in shares and squeeze outs
Announcement Kind of Premium over
date transaction
Average
Spot
1 M 2 M 3 M
17/07/2000 TO in shares--normal proc 15% 14% 17% 19%
20/10/2000 TO in shares--normal proc 13% 19% 23% 22%
27/03/2001 TO in shares--normal proc 62% 32% 42% 40%
31/05/2001 TO in shares--normal proc 22% -10% -21% -28%
27/06/2001 TO in shares--normal proc 56% -- -- 61%
13/07/2001 TO in shares--normal proc 10% 19% 15% 20%
19/06/2002 TO in shares--normal proc 5% 7% -- 5%
02/08/2002 TO in shares--normal proc 20% 31% -- 9%
17/10/2003 TO in shares--normal proc 3% 21% -- 31%
17/04/2000 TO in shares--normal proc 40% 43% -- 37%
27/06/2001 Squeeze out 7% 45% -- 24%
22/10/2001 Squeeze out 140% -- -- --
09/04/2002 Squeeze out 38% 40% -- 37%
17/06/2002 Squeeze out 29% 36% 34% 27%
21/06/2002 Squeeze out 0% 5% 5% 4%
12/07/2002 Squeeze out 64% 76% -- 62%
16/07/2002 Squeeze out -- -- -- --
17/07/2002 Squeeze out 9% 9% 11% 13%
18/07/2002 Squeeze out 0% -- -- --
26/07/2002 Squeeze out 24% 31% -- 37%
29/08/2002 Squeeze out 10% 10% -- 5%
06/09/2002 Squeeze out 28% 20% 19% 17%
12/09/2002 Squeeze out -- 38% -- --
20/09/2002 Squeeze out 6% 5% 11% 10%
10/10/2002 Squeeze out -- -- -- --
20/02/2003 Squeeze out 45% 47% 46% 46%
12/03/2003 Squeeze out 9% 9% 10% 11%
27/03/2003 Squeeze out -3% -2% -- 1%
07/04/2003 Squeeze out -- -- -- --
08/04/2003 Squeeze out 38% 43% -- 39%
11/04/2003 Squeeze out 1% 2% 2% 1%
06/06/2003 Squeeze out 4% 16% -- 27%
19/06/2003 Squeeze out 47% 84% -- 164%
09/07/2003 Squeeze out -10% -12% -5% 1%
24/07/2003 Squeeze out 2% 11% -- 19%
04/08/2003 Squeeze out 146% 120% -- 118%
04/09/2003 Squeeze out 25% 22% -- --
16/09/2003 Squeeze out -- -- -- --
22/09/2003 Squeeze out 100% 93% 102% 112%
26/09/2003 Squeeze out 43% 41% 46% 41%
29/10/2003 Squeeze out 12% 15% -- 22%
30/10/2003 Squeeze out 3% 80% -- 76%
12/11/2003 Squeeze out 33% 40% -- 40%
17/11/2003 Squeeze out 23% 4% 4% 3%
18/11/2003 Squeeze out 15% 20% -- 13%
19/11/2003 Squeeze out 44% 42% -- 39%
06/01/2004 Squeeze out 67% 47% -- 60%
08/01/2004 Squeeze out 1% 64% -- 81%
03/02/2004 Squeeze out 1% 3% 11% --
11/02/2004 Squeeze out 1% 35% -- 35%
04/05/2004 Squeeze out 1% 3% -- 4%
17/05/2004 Squeeze out 2% 1% -- 0%
28/05/2004 Squeeze out 8% 5% -- 0%
01/06/2004 Squeeze out -- 0% -- 0%
04/06/2004 Squeeze out 5% 13% -- 14%
29/06/2004 Squeeze out 17% 21% 23% 26%
11/07/2004 Squeeze out 65% 52% -- 36%
14/07/2004 Squeeze out 18% 19% -- --
10/07/2002 Squeeze out 21% 25% -- 34%
Announcement Premium over
date
Average Listed DCF SotP
peers or NAV
6 M 1 Y
17/07/2000 23% 17% -- -- --
20/10/2000 20% 8% -- -- --
27/03/2001 34% -- -- -- --
31/05/2001 -- -- 168% -- --
27/06/2001 68% 72% -- -- -11%
13/07/2001 8% 6% -- -- --
19/06/2002 6% 11% -- -- --
02/08/2002 11% -8% -- -- --
17/10/2003 32% 27% 23% -- --
17/04/2000 33% 20% -- -- --
27/06/2001 28% 3% 79% 12% --
22/10/2001 -- -- -- 1% 30%
09/04/2002 35% 36% 19% 13% --
17/06/2002 -- -- -- 42% --
21/06/2002 -- -- -- -- --
12/07/2002 43% -- 25% 107% --
16/07/2002 -- -- 59% 31% --
17/07/2002 14% 10% 18% -3% --
18/07/2002 -- 33% 48% -- --
26/07/2002 54% 65% -- -- --
29/08/2002 10% 13% 16% -- 0%
06/09/2002 6% 10% 46% 72% -
12/09/2002 -- 22% 158% -- 75%
20/09/2002 4% -- -- 12% --
10/10/2002 -- -- -- 0% 46%
20/02/2003 48% 46% -- 5% 41%
12/03/2003 13% - 87% 50% --
27/03/2003 2% -9% 26% 14% --
07/04/2003 -- -- 244% 31% --
08/04/2003 42% 50% -- 42% --
11/04/2003 1% 1% 60% 4% --
06/06/2003 26% 11% 18% 9% --
19/06/2003 166% 126% 12% -- 5%
09/07/2003 14% 24% 18% 7% 22%
24/07/2003 -- 27% 51% 0% 47%
04/08/2003 -- -- 71% -16% -1%
04/09/2003 -10% -- 23% 14% --
16/09/2003 -- -- -- -- --
22/09/2003 114% 105% 80% -2% 16%
26/09/2003 35% 45% 69% 39% --
29/10/2003 25% 36% 7% 0% --
30/10/2003 71% 72% 21% -- --
12/11/2003 50% 47% 91% 141% 23%
17/11/2003 -- 2% -- -- 16%
18/11/2003 21% 38% 19% 21% --
19/11/2003 36% -- 13% -- --
06/01/2004 75% 87% 5% 9% --
08/01/2004 84% 58% 59% 39% --
03/02/2004 18% 37% -- 29% 25%
11/02/2004 35% 33% 2% 4% --
04/05/2004 4% -- 26% 25% --
17/05/2004 2% 12% 11% -- --
28/05/2004 0% 3% -- -- 25%
01/06/2004 4% -12% 6% 72% --
04/06/2004 15% 16% 10% 10% --
29/06/2004 33% 43% -- -- --
11/07/2004 32% 32% -- -- --
14/07/2004 38% 61% 23% 4% 55%
10/07/2002 46% 35% -- -- --
REFERENCES
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Olivier Levyne (a) and Jean-Jacques Levy (b)
(a) ISC Paris, 22 boulevard du Fort de Vaux, 75017 Paris, France
olevyne@groupeisc. com
(b) ISC Paris, 22 boulevard du Fort de Vaux, 75017 Paris, France
jjlevy@groupeisc. com
Table 1
Summary of confidence limits of premiums offered in the
studied tender offers and squeeze outs
Premium over
Spot 1M 2M 3M 6M 1Y
Tender offers in cash--normal proceedings only
Average 9% 17% 29% 21% 21% 22%
Standard deviation 33% 35% 30% 39% 42% 47%
Confidence limits at 95%
Inf -5% 2% 17% 5% 3% 3%
Sup 22% 31% 42% 37% 38% 42%
Tender offers in cash--simplified proceedings only
Average 31% 34% 37% 35% 35% 34%
Standard deviation 40% 36% 39% 38% 39% 39%
Confidence limits at 95%
Inf 2% 17% 5% 3% 3% 14%
Sup 31% 42% 37% 38% 42% 39%
Tender offers in cash--normal and simplified proceedings
Average 25% 28% 35% 31% 31% 30%
Standard deviation 39% 37% 36% 39% 40% 42%
Confidence limits at 95%
Inf 16% 20% 27% 22% 22% 20%
Sup 34% 37% 43% 39% 40% 39%
Tender offers in shares--normal proceedings only
Average 25% 19% 15% 22% 26% 19%
Standard deviation 21% 16% 23% 24% 19% 24%
Confidence limits at 95%
Inf 12% 10% 1% 7% 14% 4%
Sup 38% 29% 29% 37% 38% 34%
Squeeze outs only
Average 26% 30% 23% 33% 33% 35%
Standard deviation 35% 29% 28% 36% 35% 31%
Confidence limits at 95%
Inf 17% 22% 15% 23% 24% 26%
Sup 36% 38% 31% 43% 43% 43%
All tender offers (except tender offers in shares--simplified
proceedings)
Average 25% 27% 31% 29% 30% 29%
Standard deviation 37% 35% 34% 37% 38% 40%
Confidence limits at 95%
Inf 17% 20% 24% 22% 22% 20%
Sup 33% 35% 38% 37% 38% 37%
Premium over
Listed SotP or
peers DCF NAV
Tender offers in cash--normal proceedings only
Average 59% 7% 1%
Standard deviation 56% 16% na
Confidence limits at 95%
Inf 35% 0% na
Sup 82% 13% na
Tender offers in cash--simplified proceedings only
Average 45% 29% 13%
Standard deviation 43% 56% 23%
Confidence limits at 95%
Inf 0% 20% 0%
Sup 13% 44% 0%
Tender offers in cash--normal and simplified proceedings
Average 49% 23% 12%
Standard deviation 47% 50% 23%
Confidence limits at 95%
Inf 39% 12% 7%
Sup 60% 34% 17%
Tender offers in shares--normal proceedings only
Average 96% - -11%
Standard deviation 102% - -
Confidence limits at 95%
Inf 32% na na
Sup 159% na na
Squeeze outs only
Average 45% 25% 28%
Standard deviation 49% 33% 21%
Confidence limits at 95%
Inf 31% 15% 22%
Sup 58% 34% 34%
All tender offers (except tender offers in shares--simplified
proceedings)
Average 51% 23% 11%
Standard deviation 50% 50% 23%
Confidence limits at 95%
Inf 41% 12% 6%
Sup 62% 33% 16%
Table 2
Summary of premiums offered in the studied tender offers and
squeeze outs
Premium over
Mean
Spot 1M 2M 3M 6M 1Y
Tender offers in cash--normal
and simplified proceedings 25% 28% 35% 31% 31% 30%
Tender offers in 25% 19% 15% 22% 26% 19%
shares--normal proceedings
Tender offers (cash and
shares)--normal proceedings 14% 18% 23% 21% 22% 21%
Tender offers in 31% 34% 37% 35% 35% 34%
cash--simplified proceedings
All tender offers (except in
shares in the simplified 25% 27% 31% 29% 30% 29%
proceedings)
Squeeze outs 26% 30% 23% 33% 33% 35%
Table 3
Fisher-Snedecor test for equality of variances of premiums
for tender offers in cash and in shares
Tender offer in Cash Shares
Mean 9% 25%
Variance 11% 4%
Observations 21 10
Number of degrees of freedom 20 9
F stat 2.42
F critical one-tail 2.94
Table 4
Student test for equality of means of premiums for tender
offers in cash and in shares
Tender offer in Cash Shares
Mean 9% 25%
Variance 11% 4%
Observations 21 10
Number of degrees of freedom 29
t stat -1.41
T critical two-tail 2.05
Table 5
Fisher-Snedecor test for equality of variances means in
simplified and normal proceedings
Cash and
Cash/simplified shares / normal
Tender offer in proceedings proceedings
Mean 31% 14%
Variance 16% 9%
Observations 51 31
Number of degrees of freedom 50 30
F stat 1.75
F critical one-tail 1.76
Table 6
Student test for equality of means in simplified and normal
proceedings
Cash and
Cash/simplified shares / normal
Tender offer in proceedings proceedings
Mean 31% 14%
Variance 16% 9%
Observations 51 31
Number of degrees of freedom 80
t Stat 2.13
T critical two-tail 1.99
Table 7
Fisher-Snedecor test for the equality of variances of
premiums in squeeze-outs and in tender offers
Squeeze outs Tender offers
Mean 26% 25%
Variance 12% 14%
Observations 43 82
Number of degrees of freedom 42 81
F stat 0.88
F critical one-tail 0.63
Table 8
Aspin-Welch test for the equality of means of premiums
for squeeze-outs and tender offers
Squeeze outs Tender offers
Mean 26% 25%
Variance 12% 14%
Observations 43 82
Number of degrees of freedom 91
t Stat 0.26
T critical two-tail 1.99
Table 9
Summary of the results of the tests of assumptions
95% confidence
limits
# of Ave.
Obs. premium Low High
Tender offers in cash--normal 76 25% 16% 22%
and simplified proceedings
Tender offers in shares--normal 10 25% 12% 38%
proceedings
Tender offers (cash and 32 14% 3% 24%
shares)--normal proceedings
Tender offers in 54 31% 21% 42%
cash--simplified proceedings
All tender offers (except in 86 25% 17% 33%
shares in the simplified
proceedings)
Squeeze outs 43 26% 17% 36%
Test of assumption
Test Result
Tender offers in cash--normal No
and simplified proceedings Student significant
Tender offers in shares--normal Difference
proceedings
Tender offers (cash and Student Significant
shares)--normal proceedings Difference
Tender offers in
cash--simplified proceedings
All tender offers (except in Aspin No
shares in the simplified Welch significant
proceedings)
Squeeze outs difference
Table 10
Summary of premiums on traditional valuation approaches for tender
offers in cash
Tender Offer Listed peers DCF SotP/NAV
Normal process 59% 7% 1%
Simplified process 45% 29% 13%