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Title: Topics in Financial Economics Term 2


1
Topics in Financial Economics Term 2
  • Lecture 4 Still more on payout policy
  • Does it matter at all? Can firms influence it?
    still under construction
  • Payouts and value
  • Introduction to agency


2
Update on payout policy
  • DeAngelo and DeAngelo (2006) criticise MM on the
    grounds that MM rule out any impact of dividends
    by assumption
  • The MM irrelevance results arise in frictionless
    markets with fixed investment policy all
    financial structures and all payout policies are
    optimal, because all imply the same stockholder
    wealth.
  • The only determinant of value in this model is
    the firms investment policy but the MM
    assumptions effectively force the firm to pay out
    100 of free cash flow in every period (after the
    fixed allocation to investment has been removed)
  • DD modify the model to allow variable payouts
    as a result, some payout policies do not
    distribute 100 of FCF to current shareholders.
    Managers must make separate decisions regarding
    payout and investment policies to maximise
    shareholder value.
  • There are then two possibilities
  • Payouts and investment are both irrelevant,
    because costless contracting forces managers to
    make optimal choices (fully distributing FCF in
    effect)
  • Both are relevant (if some choices are better
    than others)

3
More on DD
  • Hold NPV of investment policy fixed, and let
    managers alter time-path through 0-NPV projects
  • Payout optimality is that current shareholders
    (eventually) get the full value of current FCF.
    (Note the choice of payout policy may be
    indeterminate if more than one is optimal without
    being irrelevant which requires all to be
    optimal)
  • The same is true of investment policy
  • We will revisit this once we have done agency
    costs.
  • The Dividend puzzle of Black (1976) suggests
    that taxes on payouts should lead firms to avoid
    dividends and other payouts.
  • It is based on introducing taxes into the MM
    model (reverse of the tax shield argument for
    high debt)
  • Essence is that when total wealth is fixed, it
    makes sense to put it where it bears least tax
  • But if payouts go to (near) 0, stockholder wealth
    suffers, equity values will fall and WACCs will
    rise sharply

4
Taxes and dividends, continued
  • If investment at time 0 is financed by shares
    sold at that date, dividends are paid both to
    those shares and to others outstanding at that
    time. Let V0 be the present value of payouts D1
    and D2 and qV0 be the share received by the t0
    shares. Also let r0 and r1 be the (one-period)
    interest rates at dates 0 and 1. The feasibility
    condition on payouts is
  • Now suppose investors pay taxes of t1 and t2 on
    dividends in periods 1 and 2. Feasibility now
    requires
  • Therefore, low future payouts prevent the firm
    from raising new capital at t0. But positive
    payouts will only disappear if the tt are close
    to 1. This resolves the dividend puzzle

5
DD, 3
  • This suggests the need to take tradeoffs between
    e.g. issue costs (which encourage retained
    earnings) and agency costs (which well see
    discourage them)
  • The life-cycle picture supports this young
    firms generally have more investment
    opportunities than access to internal capital,
    and thus issue equity but pay few dividends.
    Later on, they can pay dividends and repurchase
    stock.

6
Repurchases updated
  • Brav et. al. (2005) update the Lintner survey on
    motives behind payouts, including repurchases.
  • The empirical facts are
  • Young firms pay few dividends
  • Many firms prefer repurchases to dividends as
    ways to distribute residual FCF
  • But many firms still pay substantial dividends
  • The results indicate a pecking order of
    decisions
  • Maintaining dividend levels is first-order, along
    with investment decisions
  • Other aspects of payout policy (allocating FCF
    net of investment, liquidity and maintained
    dividend needs) are secondary
  • Target payout ratios no longer drive decisions
  • Firms that have not paid dividends will do so
    when a) earnings suddenly (and sustainably)
    increase and/or b) when institutional investors
    demand it.
  • Repurchases are also second-order
  • Managers view them as more flexible (they dont
    create precedents)
  • Repurchases are thus increased when firms stock
    price is too low
  • EPS also matters repurchases rise when
    investment opportunities fall, when equity
    flotation is adequate and when they wish to
    offset option dilution (earnings dilution by
    stock option compensation or employee stock
    plans). Some simply feel that fewer shares
    higher EPS others understand that the money used
    to buy back shares must otherwise earn less than
    WACC.
  • Tax considerations do not feature heavily. A
    recent cut in US dividend taxation led 6 of
    non-payers to start paying dividends, but other
    increases had begun before the tax cut or
    involved stocks held by institutions
  • More generally (Jagnnathan et. al. 2000),
  • dividends tend to increase steadily over time
    while repurchases are very pro-cyclical
  • Dividends are paid by firms with high permanent
    operating cash flows repurchases are used by
    firms with higher temporary (or non-operating)
    cash flows
  • Repurchases are far more volatile

7
If dividends dont measure firm values, what does?
  • Contexts
  • valuing mergers and acquisitions targets
    correctly
  • IPO investment bank evaluation
  • analysts who do not believe in efficient markets
  • Commonly used methods
  • discounted cash flow (DCF) firm as a project
  • comparable MA deals - estimates based on ratios
    like premium over stock market value two months
    before acquisition announcement
  • comparable publicly traded firms similar, uses
    e.g. price/earnings ratios
  • Liquidation value of firm is broken up and sold
    piecemeal

8
Discounted cash flow
  • Firm has value because it generates cash for
    shareholders, so stream of cash flows and the
    discount rate determine how much it is worth
    paying for a firm
  • Step 1 Finding the cash flows
  • Cash flow after taxes, not net income
  • Timing of cash flows is critical
  • Only incremental cash flows (those which occur on
    the margin because you invest in the firm)
  • Be consistent in the treatment of inflation
  • Result free cash flow

9
More on DCF
  • Step 2 discount using WACC
  • The formula based on MM with taxes, bankruptcy
    costs
  • weighted average of after-tax cost of debt rD(1 -
    tc) and after-tax cost of equity rE

10
Comparable mergers and acquisitions
  • In a competitive market similar firms should sell
    for similar amounts
  • Why? If there is a wide difference in selling
    prices buyers will tend to hold back until a
    cheap firm comes along
  • There are some major problems
  • Sometimes very hard to find recent, similar MA
  • Typically, hard to find reliable information
  • Theoretical considerations (real option value of
    waiting, durable goods monopoly, expectation
    frenzies/crashes, etc.
  • Similarity may need to extend from target to
    acquiring entity and/or acquisition procedure.

11
Finding comparable MA
  • Points of comparison
  • type of business activity in which the firm is
    engaged
  • size of the business
  • form of ownership - closely held or publicly held
  • capital structure
  • degree of profitability
  • competitive position within the industry
  • historical growth rate
  • physical facilities
  • Look at ratios
  • E.g. pre-announcement ratio of selling price to
    stock price time pre-announcement stock market
    price
  • Other statistics concerning selling price of firm
    - multiple of sales, multiple of book, multiple
    of earnings, multiple of cash flow, etc. can be
    used to get some idea of what the firm's value is
    in a similar way. Weighting of comparable
    transactions should be based on how comparable
    the firms are.

12
A case study BP
13
The big picture
The end result?
14
(No Transcript)
15
Activities that affect firm values
  • Dividends change value of the asset
  • Repurchases change the number of shares
    outstanding (exposed to market)
  • Divestiture sell assets to another firm that can
    use them more efficiently
  • Spin-off grant independence to a division
  • Equity carve out make division
    semi-independent parent retains controlling
    interest
  • Tracking stock division completely controlled
    (does not have own board)

16
Differences
Best
Worst
17
Introduction to agency theory
  • A one-way flow of power and information
  • Concerned with optimal contracts can the
    principal get the (better-informed) gent to do
    what he (the principal) wants?
  • As usual, two complications hidden information
    (agent knows more) and hidden actions (costly or
    impossible to see what agent does)
  • Two channels through which these play out
  • Signing the contract (selection)
  • Complying with the contract (incentives)
  • The results show that there is always an agency
    cost

18
Principal-agent theory
  • Interaction between 2 parties one acts for the
    other
  • Not always clear who is the agent depends on
    incentives. Agent is the one who can gain by
    cheating, and therefore needs incentives to
    fulfil the bargain.
  • Problem 1 hidden action (moral hazard)
    principal cannot (freely) monitor/verify agents
    action
  • Problem 2 hidden information (adverse
    selection) principal cannot test whether agents
    action was justified
  • Also known as contract theory
  • Assumes (uninformed) principal moves first
  • Distinct from signalling, where informed party
    moves first

19
Agency reading
  • Principal-agent theory
  • Osborne and Rubinstein A course in game theory,
    ch. 10.
  • D. Gale notes sec 3 http//www.econ.nyu.edu/user/g
    aled/finchap03.pdf
  • Gale and Allen, Financial Innovation and Risk
    Sharing (1994) sec. 4.1
  • Stole notes secs 1.1, 2.1 (more as interest
    dictates) http//gsblas.uchicago.edu/papers/lectur
    es.pdf
  • Handa slides http//www.biz.uiowa.edu/class/6F215_
    handa/Pr2lec5.ppt
  • Agency problems in financial economics
  • Jensen, M. and W. Meckling (1976) Theory of the
    firm, managerial behaviour, agency costs and
    ownership structure, Journal of Financial
    Economics 3, 305-360 Link from Warwick machines
  • Myers, S. (1977) Determinants of corporate
    borrowing, Journal of Financial Economics 5,
    147-175 Link from Warwick machines
  • Grossman, S. and O. Hart (1983) An analysis of
    the principal-agent problem Econometrica 51,
    7-45 Link
  • Shleifer, A. and R. Vishny (1997) A survey of
    corporate governance Journal of Finance, 52,
    737-783 Link from Warwick machines
  • Murphy, K. (1999) Executive compensation, in
    Handbook of Labor Economics, O. Ashenfelter and
    D. Card (eds), 2485-2563

20
Simple model try a risky venture, split proceeds
  • Agent takes action s in a (finite or interval)
    set A
  • The state is w in a (finite) set W the state is
    determined by a
  • The probability of w given a is p(wa)
  • The revenue if w occurs is R(w)
  • The agents utility from consuming c (bought with
    his share of revenue) and taking action a is u(c,
    a) we assume u(c, a) U(c) J(a)
  • The principals utility from her share of revenue
    is V(c)
  • Both utilities are strictly increasing, concave,
    twice continuously differentiable
  • We assume the agents consumption is non-negative
    (liquidity or limited liability)

21
Pareto optimality
  • Contract (a, h(.)), where a is the contracted
    action and h(w) gt 0 is the payment to the agent
    in state w.
  • Principals problem choose contract to maximise
    principals utility subject to agents
    participationPP
  • Theorem A contract is Pareto efficient iff it
    solves this problem
  • If the (risk-sharing) payment h is always gt 0 and
    optimalB
  • If a is interior and p and J are differentiable

22
Incentive efficiency
  • If agents actions cannot be observed or
    verified, they must be incentive-compatibleIC
  • A contract is incentive efficient if it is Pareto
    optimal relative to the set of incentive
    compatible contracts. It solves the original
    problem (PP) with the added IC constraint.
  • Any solution to this enhanced problem (PP) is
    incentive efficient if the participation
    constraint always binds.
  • To solve this problem
  • Fix a and compute the payoff V(a) from providing
    incentives to do a.
  • Now choose a to maximise V(a)
  • Because U and V are concave, the first part is
    easier to solve than the whole, and gives many
    useful insights. If V is linear (the principal is
    risk-neutral) this just minimises the expected
    payment to the agent

23
Does moral hazard prevent first-best?
  • If the principal is risk-neutral and the agent is
    strictly risk-averse, condition B implies that
    payment h is independent of state, hence of
    agents action. The agent will choose the
    cost-minimising action and first-best can be
    achieved only if the optimal action (for the
    principal) is also the cheapest (for the agent).
  • If the principal is risk-averse and the agent is
    risk-neutral, condition B implies R(w)-h(w) is
    constant for interior solutions sell the firm
    to the agent, providing firm remains profitable
    (agent gets gt 0).
  • In general, there is y s.t. R(w)-h(w) miny,
    r(w), and h(w) maxR(w) y, 0

24
If both parties are risk-averse
  • The first-order condition for the first-best
    is
  • The first-order condition for incentive
    compatibility is
  • The first-best and incentive-efficient contracts
    only coincide if

25
An example 2 states W (win) or L (lose)
  • We assume winning is worthwhile R(W) gt R(L)
  • The necessary condition is
  • If effort is productive (i.e. pgt0), this implies
    paying the agent the full marginal
    contributionR(W)-R(L)h(W)-h(L)
  • This does not satisfy condition B unless the
    agent is risk neutral on the interval h(L),
    h(W).

26
Optimal incentives, 1
  • Assume the principal is risk-neutral (always
    prefers the action with higher expected revenue
    if costs are equal).
  • There are a finite number of states and actions,
    strictly increasing revenue
  • The monotone likelihood ratio property (MLRP)
    for any actions altb, the ratio p(w,b)/p(w,a) is
    non-decreasing in w. Also assume that the vectors
    p(.,b) and p(., a) are distinct (ratio sometimes
    rises). Expected revenue is increasing in a.

27
Optimal incentives, 2
  • Because it only uses a one-sided IC constraint,
    is at least as big as V. Suppose it is bigger
    for some a, so the agent wants to choose more
    effort but the principal will always prefer
    more effort if it comes at the same price, so the
    a that maximises the two V-functions will be the
    same., so we can limit attention to the modified
    problem.
  • Most incentive schemes are increasing a higher w
    brings a higher h though not necessarily a
    higher h(w)/R(w). Is this true of the optimal
    scheme?
  • Rearranging the Kuhn-Tucker conditions for an
    interior solution to the modified problem, we
    get
  • By the MLRP, the RHS is non-increasing in w so
    too is the LHS, hence the optimal h(w) is also
    non-decreasing

28
Examples
  • 2 states W (win), L (lose)
  • 2 projects or effort levels (A,B)
  • let 0 lt pA p(W,A) lt pB p(W,B) lt 1
  • Effort cost J(A) 0 lt J(B).
  • U(0) reservation utility 0.
  • To implement the inferior project (A), set
  • h(L) hL h(W) hW 0
  • Constraints to implement BICIR

29
Relation between IC, IR constraints
  • Can rewrite IC as
  • IR implies positive consumption in at least one
    state, so
  • Therefore, IC implies IR holds strictly (doesnt
    bind)
  • We can thus rewrite principals problem as

30
Optimum and project choice
  • Clearly, optimality implies hL 0, and the
    optimum level of hW satisfies pB -
    pAU(hW)J(B)
  • What makes managerial compensation hW higher?
  • Higher effort cost J(B)
  • Higher managerial risk aversion U(hW) U(hL)
  • Lower managerial marginal productivity pB - pA
  • Optimal project compare profits from both schemes

31
Incentive-efficiency example
  • Set-up as before (2 states, 2 effort levels, 0
    reservation utility, risk-neutral agent,
    principal)
  • Also assume
  • R(L) 0 lt R(W) revenues in 2 states
  • J(A) 0 lt J(B) effort cost to 2 actions
  • 0 lt pA lt pB lt 1 probability of winning state
    for 2 actions
  • Optimal implementation
  • Project A hW hL 0
  • Project B hL 0 hW J(B)/pB pA
  • Principals payoff V(w)
  • Project A pAR(W)
  • Project B pBR(W) - J(B)/pB pA
  • If it happens that v(W) V(L), the contract
    implementing project A solves the principals
    problem, but is not incentive efficient, because
    the project implementing B gives the agent
    strictly higher utility.

32
Corner solution example
  • In previous example, the agent gets 0 in state L
    regardless of which action (project, effort
    level) he chooses. You might think this is due to
    risk neutrality, but corner solutions are
    possible even when U(0) ?. Suppose U(h) ha
    for 0 lt a lt 1.
  • U(0) is still 0, so the optimal incentive scheme
    implementing A in the above example is still h(w)
    0
  • To implement B, the optimal scheme is h(L) 0
    and h(W) J(B)/(pB pA)(1/a)
  • Thus it is not always safe to simply assume
    interior solutions

33
Local conditions example
  • It may be enough to check IC conditions locally
  • Finite set of actions (effort levels) just check
    nearest ones
  • Continuous set of actions check that derivative
    of agents payoff is 0 at specified action ( 2OC
    if needed)
  • Not always safe
  • 2 states, 3 projects (A, B, C), risk neutrality,
    0 reservation utility
  • R(L) 0 lt R(W)
  • J(A) 0 lt J(B) J(C)
  • 0 lt pA lt pB lt pC
  • Optimal scheme to implement C is hL 0 hW
    J(C)/pB pA
  • Because B costs the same but offers lower
    probability of success, agent will never defect
    from C to B, but might defect to A if payment in
    state L is too low. To prevent this, we must
    assume a sort of diminishing marginal return to
    effort
  • For more general conditions, see Stole notes

34
Mechanism design
  • PA set-up is a special case of a more general
    problem of institutional design if the desired
    result depends on dispersed information and
    individual actions, can we design a game which
    gives the desired result as an equilibrium?
  • A simple set-up many agents i, with types qi in
    Qi (known only to them) and actions ai. Let a in
    A and q in Q (without subscripts) be the actions
    and types for the whole population. The common
    knowledge distribution of types is p(q), and
    agent is utility is ui(a,q).
  • The design problem is two-fold
  • How to get agents to reveal the relevant
    information (Stage 1 agents send signals mi in
    Mi to principal)
  • How to get agents to take the right action (Stage
    2 principal tells agents what to do m0 in M0)
  • Each type of each agent has to choose a message
    strategy mi(qi) and a response function ai(m0,qi)
    to maximise its expected payoff conditional on
    its type. Effectively, we have a game between all
    the types of all the agents, and the equilibrium
    is called a Bayesian equilibrium.
  • A mechanism (M, f) consists of a message space M
    for the agents and a decision rule f(m) in A for
    the planner

35
The revelation principle
  • A direct mechanism has Mi Qi and M0 A in
    other words, agents report their types and the
    principal tells them exactly what to do. In a
    truthful strategy, agents report their true types
    and do exactly what the principal suggests.
  • Theorem if (m, a) is a Bayesian equilibrium for
    some mechanism (M, f) there is an equivalent
    Bayesian mechanism for the associated direct
    mechanism.
  • This lets us greatly simplify the institutional
    design problem by concentrating on direct
    mechanisms.
  • A societal choice rule f associates a desired set
    of actions f(q) to each state of nature q.
  • The rule f is incentive compatible iff for every
    agent telling the truth and obeying the
    principals suggestion is optimal assuming
    other agents are truthful as well.
  • A direct mechanism has a truthful equilibrium iff
    the societal choice rule is incentive compatible.

36
So what?
  • This is a weak notion of implementation
  • Honesty and truth are only equilibria more
    restrictive conditions apply if we want them to
    be dominant strategies
  • A direct mechanism may have other, untruthful
    equilibria
  • The societal choice rule may embrace many
    different outcomes implementability just says
    that at least one can be achieved by a direct
    mechanism
  • A large literature tries to improve on this by
    using stronger solution concepts and/or fancier
    game forms.
  • The PA problem is a special case with only two
    agents
  • the principal has no action to choose, the
    agent picks his effort level and the designer
    picks the contract (a,h).
  • The societal choice rule is the
    incentive-efficient outcome.
  • Optimal mechanisms usually leave the agent
    indifferent between effort levels, showing the
    multiple equilibrium problem
  • To fix the problem in the last example, let the
    principal pick the incentive scheme first and
    have the agent respond with a best reply if the
    agent wishes to choose the effort level (A in the
    example) that is worse for the principal, the
    principal will instead pick a nearby scheme h
    which would make the agent strictly prefer B.
    (The original scheme was not subgame perfect)

37
No, I mean what has this got to do with finance?
  • The analysis we did up till now treated the
    firm as a single entity that maximised something
    usually value
  • Empirical data relating to leverage, dividends,
    executive compensation, takeovers, etc. does not
    really confirm this view
  • Jensen and Meckling suggested viewing the firm as
    players of a game, with differing information,
    incentives and powers of action.
  • We will look at several moral-hazard agency
    problems
  • Risk shifting or asset substitution equity
    holders get paid whatever is left over after debt
    claims are met, and want the management to
    maximise this expected value. If the firm
    undertakes a very risky project, this may
    increase the expected payout to equity holders
    (truncated at 0) while also increasing the risk
    of bankruptcy (Think St. Peterburg paradox). This
    hurts bond holders, who are not compensated by
    the excess return if the firm wins
  • Managerial effort if managers are paid salaries,
    they will not act in the interests of equity
    holders. But if they are paid as equity holders,
    they may undertake negative NPV projects (in the
    above example). If the interests of equity
    holders depart from NPV, the struggle for
    corporate control may distort the application of
    the NPV criterion
  • Debt overhang if a firm has outstanding debt
    obligations, equity holders might not wish to
    undertake even safe, positive-NPV projects if the
    proceeds go to bond holders.

38
OK, but what has this got to do with the formal
analysis?
  • The formal analysis can be used to examine the
    incentive effects of debt and equity
  • The mechanism design analysis can be used to
    analyse and design executive compensation schemes
  • We can also consider the extent to which specific
    institutions can be interpreted as optimal (or
    optimisable) contracts
  • Debt
  • Corporate control (LBOs MA, etc.)

39
Risk shifting
  • A firm owes its debt holders 5 Million, but its
    retained earnings are only 1 Million. It has one
    year to make good or else it will go bankrupt
  • The firm has a risky prospect if it invests 1
    Million, it gets 25 Million with probability p,
    and 0 with probability (1-p). Interest rate is 4
  • The present value of the project is - 1 M (p
    25 M)/(1r) which is negative if p is less
    than (1r)/25 do the project if p gt 4.16
  • If the equity holders do nothing, they get 0 if
    they undertake the project they get (in
    expectation) p 20 Million/(1r) always do
    the project
  • The bondholders get p 5 Million/(1r) if the
    project goes ahead otherwise they get 1
    Million/(1r) do the project if p gt 20

40
A different perspective (r 0)
  • Do nothing
  • Value of debt 1 Million
  • Value of equity 0
  • Total 1 Million
  • Undertake risky project if p 2
  • Value of debt 2 5 Million 100,000
  • Value of equity 2 20 Million 400,000
  • Total 500,000
  • Note equity holders gain less than bond holders
    lose (like Prisoners Dilemma), so there is
    certainly scope for improvement.

41
A model of risk shifting
  • Managers actions a ? A states w ? W (finite)
    managerial impact p(w,a) revenue R(w) gt 0.
  • Utility functions
  • Agent (manager) u(a,h) U(h) z(a)
  • Principal V(R h)
  • both twice continuously differentiable, strictly
    increasing, concave
  • Risk shifting manager has convex payment scheme
    (h) and prefers riskier projects. Think of
    principal as bond holder(s) and agent as acting
    on behalf of equity holder(s)
  • Fixed costs of financing are 0, finite set A of
    projects
  • Consider a contract that obliges the principal to
    pay investment cost z(a) and to give the agent
    h(w)
  • Manager picks a to maximise

42
More model
  • Assume h(w) gt 0 (limited liability).
  • All parameters, functions, contract, eventual
    state are common knowledge, but only manager
    knows true a.
  • As a PA problem principal chooses contract
    (a,h)to maximise his expected return s.t.
    incentive-compatibility (IC) and participation
    (IR) constraints
  • .. the principal must get as least as much as her
    outside option as well.
  • If the principal is risk neutral and the agent
    strictly risk-averse, offer agent a fixed payment
  • Agent will be indifferent to choice of a and
    might as well choose the a that maximises the
    principals payoff (but might not)

43
Model, 3
  • If the agent is risk-neutral and the principal
    strictly risk-averse, optimal risk-sharing would
    place all risk on the agent (up to the limited
    liability constraint). Define h by choosing r gt 0
    s.t.
  • With this contract, the manager chooses a to
    maximise
  • If the principal must offer a contract specified
    by (a, r), he solves

44
A result!
  • For any probability vector p (p1,,pW), define
    the cdf
  • A distribution p is a mean preserving spread of
    p if it gives the same expected value of R and
    satisfies one of the following three (equivalent)
    conditions

45
So?
  • If p(a,.) is a mean-preserving spread of p(b,.)
    then for any r the r-contract that stipulates a
    pays the agent more than the r-contract that
    stipulates b.
  • In other words, the agent (entrepreneur) prefers
    mean-preserving spreads.
  • The principal, by contrast, wants to maximise his
    payoff at any solution to the problem the IR
    constraint should be binding, so we can describe
    the principal as maximising
  • So e.g. a risk-averse principal would always
    prefer a project with higher expected value, but
    may be constrained by agent's risk-shifting
    preferences.

46
Debt overhang example
  • Principle is the same as risk-shifting debt,
    equity holders own different parts of revenue
    stream, so differ about best course of action.
  • Firm has no cash, debt 10K, interest rate 0
  • Project investment 3K certain return 12K
  • Do nothing
  • Firm goes bankrupt, no-one gets anything
  • Equity holders undertake project
  • Project present value -3K12K 9K
  • Value to bondholders 10K
  • Value to equity holders -3K 2K -1K
  • So the equity holders wont undertake the project
  • This would be true even if the firm had the 3K
    already in hand the share holders would rather
    have all of it as a dividend than settle for the
    2K left over after the debt is paid
  • Project only happens if debt holder put up the
    money but they typically have inferior
    information (will it be this kind of (very good)
    project or the (very bad) project from last
    weeks risk-shifting example?

47
Model of debt overhang
  • As before, manager chooses effort a result is
    probability distribution p(w,a) and the manager
    gets U(h(w)) z(a) in state w. As before, h(w) gt
    0 (limited liability) and we assume the agent
    (manager) maximises expected utility.
  • Assuming the parties are risk neutral, we can
    write the contract problem as
  • To model overhang, let D be debt, and consider
    two probability distributions p without
    managerial effort (cost 0) and p with effort
    (cost z).
  • p is assumed to first-order stochastically
    dominate p (in other words, for every
    non-decreasing h(w), the expectation of h under
    p is greater than the expectation of h under p)
    Sp(w)h(w) gt Sp(w)h(w)

48
Debt overhang result
  • The project is worthwhile from the firms point
    of view
  • (F)
  • When will the shareholders want the project?
  • (SH)
  • Clearly, neither condition implies the other, so
    there are plenty of examples where the project
    wont be undertaken.
  • We can even make examples where the bondholders
    might forgive the debt in order to get the
    entrepreneur to put forth effort (HIPC programme)

49
Further clarification of overhang
Firm gets R-z
Managergets h-z
  • Let W Ws ? Wb - firm is
  • solvent in Ws (R(w)-h(w) gt D)
  • bankrupt in Wb (R(w)-h(w) lt D)
  • Shareholders get
  • Bond holders get
  • So SH, BH, firm may have different preferences
  • If D is reduced, attractiveness of stoch. dom.
    project rises

Share holdersget max0,R-h-D
Bond holdersget minD,R-h
50
Debt and Equity as incentive mechanisms
  • Grossman-Hart (1982) The manager of a
    debt-laden firm may work hard to stave off
    bankruptcy (direct costs, reputation damage,
    etc.) like a non-pecuniary aspect to success
    vs. failure.
  • Jensen (1986) firms with abundant CFE may
    fritter it away on untested projects. This
    agncy problem can be controlled by having lots of
    debt to obligate the CFE.
  • Applicable to LBOs (unfriendly take-overs
    financed by debt (esp. zero-coupon or junk bonds)
  • Usually, new owners sold assets to reduce debt
  • Alternative new owners had better information
    and thus preferred debt.
  • These articles did not address risk shifting and
    overhang
  • Easterbrook (1984) uses agency to explain
    dividends precommittment (formal or habitual) to
    paying big dividends ties the hands of
    management incentive effects of debt without
    risk-shifting or overhang

51
Compensation 1
  • Jensen and Meckling (1976) treatment of agency
    points directly to managerial compensation
    schemes.
  • Murphy (1999) has a good survey
  • Agency perspective very useful, but standard
    model results not very helpful
  • E.g. Holmstroms (1979) informativeness principle
    tie compensation to all information about
    performance (like linkage principle in auction
    theory). But few compensation schemes come
    anywhere near this.
  • At most, there may be accounting information
    (like contribution statements)
  • Relative performance only implicit in stock
    options

52
Compensation 2 in practice
  • Murphy (1999) points to a lot of academic papers
  • Recent changes
  • Base salary and bonuses based on accounting
    information always important
  • Stock options have become very important
  • Levels vary considerably across countries,
    sectors and degree of publicness
  • Highest in financial services and in US (2x
    international average) lowest in regulated
    utilities
  • Options and bonuses more important in US/UK than
    continental Europe
  • Generic package
  • Base salary consultant/survey based
  • Options long-term, subject to policy change,
    tax advantage
  • Bonuses based on EBIT, target (floor/ceiling)
  • Retirement packages

53
Compensation 3 other points
  • What the market will bear is the market for
    management competitive? How strong are the
    externalities?
  • Pay and promotion
  • The basic agency problem has a single agent
  • Possible to extend to multiple competing agents
  • More interesting multiple interacting agents
  • Company problem to sort agents out (get them to
    reveal private information about ability, risk
    preference, opportunity cost of effort,
    intelligence, etc.) to provide effort incentives
    to get them to work to encourage human capital
    formation to select candidates for promotion
  • One solution the tournament model pay CEO a
    lot and VPs nothing make them compete to become
    CEO. One paradox pay inversely proportional to
    performance or potential future competition.
    Model widespread in accounting, bank, legal
    firms.
  • Pay and corporate governance
  • Golden handshakes,
  • Golden parachutes
  • Poison pills
  • The problem is much richer than the standard
    analysis and there remains much to be done.
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