Monitoring in the investment Decision.ppt for business students
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)
 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
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.
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.
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’.
 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.
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)
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
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’
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:
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.
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.
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) = .
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 + (1x) PL RI 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:
Rm denote the monitor’s payoff in the case of
success, the monitor chooses his monitoring
intensity so as to maximize
[xPH + (1x) PL] Rm c(x)
So, (p) Rm = C (x) -------(13)
Comparing (12) and (13) yields
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.
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)
The pledgeable income exceed the
uninformed investor’s initial outlay
becomes
Implications are the same as in the
case of abundant monitoring capital.
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:
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
Thank You

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Monitoring in the investment Decision.ppt for business 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 + (1x) PL RI 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 + (1x) 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