Monitoring in investment decision.pptx for students
2. Benefits of Activism
Fixed Investment Model
+
A Monitor who can Intervene
In order to reduce the scope for moral hazard
* A risk neutral entrepreneur with wealth A has
a project costing I>A and must borrow:
I-A (from investors)
3. The project yields R when it succeeds and 0 when
it fails.
• The probability of success is PH if the
entrepreneur works and
PL = PH - P if she shirks
4. No Monitoring
Shirking Provides private benefit ‘B’(In absence of monitoring)
Rb = Entrepreneur’s reward incase of success
Entrepreneur receives nothing in case of failure as she is protected by limited liability (LL)
Incentive compatibility requires
(P) Rb B --------- (1)
Funding requirements
Pledgeable income > Investor’s investment i.e.,
Entrepreneur’s (borrower’s) utility is:
Ub = PHR I ---------------- (3)
i.e. the project’s NPV.
5. Monitoring
(with Fixed Intensity)
Monitoring reduces the extent of moral hazard.
That reduce the private benefit enjoyed by the
entrepreneur by shirking from
B to b < B.
Monitor bear unobservable private monitoring cost-
C > 0 in order to achieve the reduction in
private benefit.
6. Three projects:
a) the ‘good project’ which yields no private
benefit and has a probability of success ‘PH’;
b) The low-private-benefit ‘bad project’ that
yields private benefit ‘b’ and has probability
of success ‘PL’; and
c) The high-private-benefit ‘Bad Project’ which
yields private benefit ‘B’ and has probability
of success ‘PL’.
7. Suppose that the entrepreneur ‘hires a monitor and that
the monitor’s incentive induce him to monitor.
Let,
b = Entrepreneur’s private benefit from
shirking.
Rb = Rewards incase of success.
So, the entrepreneur works if and only if
(P) Rb b --------- (4)
Let, (P) Rb < B;
If Rb B
/P , the entrepreneur is induced to work
even in the absence of monitoring.
So, monitoring is useless.
8. The monitor receives a reward ‘Rm’ in case of
success, and ‘0’ in case of failure (because of
LL).
The monitor is unable to prevent the entrepreneur
from shirking if the monitor does incurring cost
‘C’.
Thus incentive for monitoring is provided by an
Rm so that
(P) Rm C --------- (5)
9. Abundance of Monitoring Capital
Assumption
Monitoring capital is abundant or not scarce.
There is a large supply of monitors who are
willing to invest their capital in the monitoring
activity.
The firm’s investment at level Im such that
PHRm C = Im ……………. (6)
No rent for monitor
Receives net payment
PHRm Im = C
10. Non monitoring or uniformed investors are
willing to fund the project if and only if
PH (R Rb Rm) I A Im ………. (7)
Using (4), (5) and (6), the necessary and
sufficient condition for the project to be
funded is
Monitoring reduces the agency cost from
PH
B
/P to PH
b
/P but adds monitoring cost ‘C’
11. The monitor’s stake Rm can be chosen equal to
C
/(P) and the monitor’s investment
contribution equal to
…….. [using (5) and (6)]
The monitoring cost is small enough that
monitoring increases the pledgeable income:
12. When does the entrepreneur benefit from
having a monitor?
The entrepreneur’s utility is equal to the
project’s NPV under monitoring:
Ub = PHR I C …………. (10)
The NPV is positive even in the presence of
monitoring:
PHR>I + C
Monitoring reduces the entrepreneur’s utility
by monitoring cost and so the entrepreneur
forgoes monitoring if she can obtain funding
in its absence.
13. No funding Monitoring No Monitoring
A Ā A
A = I + C PH (R b/p)
Ā = I PH (R B/p)
Entrepreneur’s with strong balance
sheets (e.g., with A Ā) borrowing
cheaply because they can do without
monitoring.
Entrepreneurs with weaker balance
sheets (A A Ā) borrow
expensively.
14. Variable Monitoring : Intensity Model
Fixed Investment Model with uncertainty about the
outcome of monitoring
The monitor discovers the Bad Project (Private
Benefit B) with probability x, and nothing with
probability 1 x.
The probability x of effective monitoring depends
on the unverifiable effort cost or disutility of effort
C (x) incurred by the large monitor.
Disutility of effort is increasing (C> 0) and convex
(C> 0) and that C(0) = 0, and C(1) = .
15. Let,
Borrower’s reward, Rb, in case of success is smaller than
B
/P i.e. Rb< B/P and larger than b
/P (thus effective
monitoring prevents shirking).
Borrower’s utility
Ub = x PH R + (1x) PL RI C(x) …….. (11)
The level X*
of monitoring that maximizes the NPV is
then given by
(P)R B = C(x*
) ……….. (12)
At this level of monitoring, there is enough pledge
able income to pay back the investors:
16. Rm denote the monitor’s payoff in the case of
success, the monitor chooses his monitoring
intensity so as to maximize
[xPH + (1x) PL] Rm c(x)
So, (p) Rm = C (x) -------(13)
Comparing (12) and (13) yields
17. In the absence of monitoring, the
borrower is unable to borrow. So
Rb is strictly smaller than B
/P. So,
Rm< R Rb …………… (15)
In words, the monitor should not
hold all external shares in the firm.
18. Scarce Monitoring Capital
Absence of monitoring capital
Assume the potential monitors have no capital
So the monitor cannot contribute to the initial investment.
Since Im = 0, the monitor enjoys rent
This decreases both the borrower's utility and the amount of
income that can be pledged to the uninformed investors.
Borrower’s utility
and the project’s NPV:
(PHR I C)
19. The pledgeable income exceed the
uninformed investor’s initial outlay
becomes
Implications are the same as in the
case of abundant monitoring capital.
20. General Case
Assume that monitoring capital has a shadow cost.
That is, the monetary return ‘X’ on the monitor’s investment contribution,
defined by
is intermediate between its value, PH/PL, when monitoring capital is abundant
and the infinite level that obtains when monitors have no capital.
The monitor enjoys rent M given by
The borrower’s utility is lower than the NPV and equal to
Ub = PHR I C M (X>PH/PL)
Similarly, the financing condition becomes:
21. Other Costs Associated with
Monitoring
Monitoring cost = C.
C exceeds the mere disutility of effort C(x)
There are several reasons (besides scarcity of
monitoring capital):-
Lack of diversification
Illiquidity
Collusion