MERGERS AND ACQUISITIONS
Free Riding and Large Shareholders
(The Grossman and Hart, 1980, and Schleifer and
Vishny, 1986, models)
Master in Finance (also Master in Accounting, in Economics and Management of Cities and in International Business as elective course)
• Summary
1. Takeovers and Free Riding (Grossman and Hart, 1980
model)
2. Takeovers and Large Shareholders (Schleifer and
Vishny, 1986 model)
2
Takeovers
and Free
Riding
Takeovers and
Large
Shareholders
• Assumption: Shareholder structure of target
is widely dispersed, in the sense that a
large number of shareholders exist, each
one of them having a very small stake
which is not able to exert any meaningful
individual influence on the firm or market
price
• Let us consider the following:
A Space of all possible actions taken by managers
f (a) Firm market value as a function of action a A, as the result
of managerial "ability", implying that the maximum possible
firm value will be
max f (a ) , where
aA
f (a*) max f (a)
aA
p price offered in a takeover ("tender price") by a raider, p f (a*)
for the acquisition of all oustanding shares
3
Takeovers
and Free
Riding
Takeovers and
Large
Shareholders
• Suppose that a raider intends to acquire the
company, possessing different managerial
ability than the current management, with
the possibility of introducing firm value
improvements Z>0 such that
v max f (a) Z
a A
• Suppose also that Z and v are well known
by all shareholders
4
Takeovers
• If v > p > f(a*), the offer will be attractive
but it will not be successful because
according to rational expectations, each
shareholder that knows about the offer will
prefer to earn v rather than just p!
and Free
Riding
Takeovers and
Large
Shareholders
• Therefore, nobody will make any bid for the
shares as it would be necessary that p v ,
which would translate into a loss for the
raider (particularly in the presence of
relevant transaction costs such as fees paid
to investment bankers or research costs).
• Thus, there is no incentive to launch a takeover
bid!
5
• When could then a takeover take place?
• A possibility could be in the presence of
asymmetric information
Takeovers
and Free
Riding
Takeovers and
Large
Shareholders
• In that case if the firm value perception by
shareholder were v s v and assuming takeover
transaction costs of c, the raider’s profit will be
r
v vS c
• Another possibility would be the dilution of
minority shareholders’s rights by the raider by a
factor of
v vS
6
Takeovers
and Free
Riding
Takeovers and
Large
Shareholders
• Note that if the current management brings
a market value of q, shareholders will not
be willing to receive less than q and of
course they will not also accept less than
vS v
• Thus, in order to maximize the raider’s
profit, we will need to have :
p max(v S , q) max(v , q)
• And, accordingly, the raiders’ profit will be:
r
v p c min( , v q) c
7
Takeovers
• Note that the choice of current managerial
action a0 on the part of current managers
that corresponds to market value q=f(a0)
will depend on the level of dilution
and Free
Riding
Takeovers and
Large
Shareholders
8
Takeovers
• Suppose that the current manager has an
utility U(q) which is a function of market
value q in the case when takeovers do not
take place and an utility of zero if the
takeover happens
and Free
Riding
Takeovers and
Large
Shareholders
• Being v and c random variables in what
concerns the manager (we´ll call these
v and c ), let us consider the probability of
a takeover taking place:
( , q) Pr min( , v~ q) c~
9
• The expected utility for the manager arising
from a market value of q will be
Takeovers
and Free
W (q) U (q) 1 ( , q)
Riding
Takeovers and
Large
Shareholders
• The randomness of v and c is essential in
order to conclude that takeovers will take
place.
• Without such randomness, takeovers will
occur with a likelihood of 1 or 0, and since
( , q) is a decreasing function of q, the
manager would choose a sufficiently high q so
that the takeover will not actually take place
10
• How will shareholders choose the desired
level of dilution?
Takeovers
and Free
Riding
Takeovers and
Large
Shareholders
• Let us consider the expected return for
shareholders r( )
r ( ) q 1 ( , q) E max(v~ , q) min( , v~ q) c~ ( , q)
• Note that the impact of an increase in on return
is ambiguous since the price offered in the
takeover will be reduced (which is bad for returns)
but the likelihood of the takeover taking place will
increase as well as the current market value q
(which is good for returns)
11
• Grossman e Hart (1980) demonstrate that if
shareholders know the takeover cost c, and
if they determine that c , the raider will
see this cost covered in full
Takeovers
and Free
Riding
Takeovers and
Large
• Therefore, in a model of shareholder
dispersion, the free-riding problem is
overcome through a dilution mechanism!
Shareholders
12
• Alternatives for solving the free riding
problem:
• Two-Tier offers
Takeovers
and Free
Riding
Takeovers and
Large
Shareholders
• Offer in cash in a first phase over a limited
number of shares, with a substantial premium
• If the raider achieves control in the first phase
then in a second one a lower price is offered for
the remaining shares and eventually a merger
between target and acquirer follows
(see Comment and Jarrell, 1985)
• Note however that
• Target shareholders may cooperate between
themselves and refuse the offer
• There may be competition with other
acquirers or between the acquirer and current
managers
13
Takeovers and
Free Riding
Takeovers and
Large
Shareholders
• Suppose that, in the previous model, there
is a large (but minority) shareholder (which
we will designate by L) that owns a certain
percentage of the shares lower than 50%,
ie
1
0
2
• By assumption, L could introduce a value
improvement Z in the firm (for instance,
because it has an access to better
technologies);
• Such improvement Z is extracted from a
probability distribution F(Z) with values within an
interval (0, Zmax) where I is the probability of a
positive improvement Z
• Such possibility occurs with an associated cost c(I)
satisfying the conditions c´>0 and c´´>0
14
• The offer price p must be higher than q,
that is,
Takeovers and
Free Riding
Takeovers and
Large
Shareholders
p q
• Where
must respect the following condition for
the takeover to be profitable for the raider (who
will aim at achieving firm control by holding 50%
of the shares and tendering for 50% - :
1
Z (0.5 ) c 0
2
• note that L may well bid a price higher than
the true value after the takeover (why?)
• For the small shareholders the gain
following a takeover will be:
E Z 0.5 Z (0.5 ) c 0
15
• Under such conditions, the best strategy is
to accept the takeover as long as:
E Z Z (1 2 ) 2c 0 0
Takeovers and
Free Riding
Takeovers and
Large
Shareholders
• The role of L will be to determine the
premium that will minimize the left hand
of the previous equation. Note that :
• the optimal value which we will term * ( )
depends on , and on the expected value of
the improvement contingent on the existence
of a profitable takeover
• Shleifer and Vishny (1986) prove that such
value * ( ) is unique and is a decreasing
function of
• If 0 , then we end up in the widespread
shareholder dispersion model where Z , and
no-one will launch a takeover
16
• Shleifer and Vishny (1986) show that the
larger the proportion of shares owned by L,
Takeovers and
Free Riding
Takeovers and
Large
Shareholders
• The more L will be willing to pay (eg., in research
expenses) to increase the likelihood of a positive Z
following a takeover, being I * ( ) the optimal
probability of extracting a Z>0, which increases
with
• The lower will be the premium that L will be willing
to pay to the remaining shareholders
• The lower will be the minimum improvement Z
that will be needed for an indifference situation
regarding the launching of a takeover, i.e., Z c ( )
• The greater the likelihood of a takeover
17
• Impact of an increase in on the market value of a
firm:
V ( , q) q I * ( ) 1 F Z c ( ) E Z Z Z c ( )
o
Takeovers and
Free Riding
Takeovers and
Large
Shareholders
t
• In other words, the value of the firm increases as a
function of the product of three factors (and each of
these in turn will depend on ):
• The optimal likelihood of achieving a Z>0, i.e., I * ( )
• The expected value of the improvement in the market
value of the firm by substituting an inefficient
management team (contingent on the investment
being a profitable one by exceeding a certain critical
c
threshold, i.e., E Z Z Z ( ) )
• The likelihood that such improvement exceeds the
c
critical threshold , ie 1 F Z ( )
• Shleifer e Vishny (1986) prove that the value of the
firm as above increases with
18
• Shleifer and Vishny (1986) propositions:
Takeovers and
Free Riding
• “An increase in the proportion of shares owned by
L will decrease the takeover premium but at the
same time will increase the market value of the
firm”
Takeovers and
Large
Shareholders
• “An increase in the takeover cost c will increase
the premium paid but at the same time will reduce
the market value of the firm”
19
• Alternatives to a managerial change
through a takeover :
will not change but the profit for L will now be
• Proxy fights (with a cost cp<c)
Takeovers and
Free Riding
Takeovers and
Large
Shareholders
•
Z c p
• Jawboning (friendly negotiations)
• L cannot impose a radical change but only a partial
one
• Being 0 1 the takeover will be a preferable solution
only if
0.5Z (0,5 ) c Z 0
or
0.5
1
Z
c
0.5
0.5
20
• Jawboning might be preferable in some
cases when
• Z is sufficiently low
Takeovers and
Free Riding
• Cost c is sufficiently high
Takeovers and
Large
Shareholders
•
is sufficiently high
21