BOARDS OF DIRECTORS AND CAPITAL STRUCTURE: ALTERNATIVE FORMS OF CORPORATE RESTRUCTURING Ernst Maug1) Assistant Professor of Finance London Business School Sussex Place Regent's Park London NW1 4SA FAX 071 - 724 3317 [email protected] First Version: 20th December 1991 This Version: 25th January 1994 1) This paper is adapted from chapter 3 of my PhD thesis at the LSE and I am indebted to my supervisor, Margaret Bray, and to David Webb for numerous discussions and advice. I am also grateful to Daron Acemoglu, Patrick Bolton, Vittoria Cerasi, Leonardo Felli, Julian Franks, Michel Habib, Oliver Hart, Robert Heinkel, Martin Hellwig, John Moore, Kjell Nyborg and Ulf Schiller for helpful comments and suggestions. All remaining errors are my own responsibility. I am also grateful to the Financial Markets Group at the LSE for financial support. Earlier versions of this paper were presented (under a different title) at seminars at the University of British Columbia, University of Frankfurt, London Business School, London School of Economics, Stanford University, Wharton School, the 1993 symposium at Gerzensee (Switzerland) and the 1992 congress of the Verein fü r Socialpolitik, Oldenburg (Germany). BOARDS OF DIRECTORS AND CAPITAL STRUCTURE: ALTERNATIVE FORMS OF CORPORATE RESTRUCTURING Abstract This paper discusses a model which combines internal and external control mechanisms in a firm in which assets can have alternative uses which are in some states more profitable than the current one. However, restructuring a firm in order to realize the gains from alternative uses affects managers adversely since they invest in firm-specific human capital. Several institutions which can regulate the agency relationship between shareholders and managers are discussed. The main focus is on independent directors, who are not part of executive management. Their function is to review and monitor contracts and managers' compensation. Independent directors constitute a potentially better organizational form to check managerial discretion than do constraints from debt or the market for corporate control. However, if directors' fail to exercise control over management, takeovers or creditor control become second best solutions. -1"The trade of a joint stock company is always managed by a court of directors. This court, indeed, is frequently subject (...) to the control of a general court of proprietors. But the greater part of these proprietors seldom pretend to understand anything of the business of the company; and when the spirit of factions happens not to prevail among them, give themselves no trouble about it, but receive contentedly such half yearly or yearly dividend, as the directors think proper to make to them." Adam Smith (1776), p. 262. 1. Introduction How can managers in a large corporation be held accountable, so that they are responsive to the interests of shareholders and still have sufficient discretion over business decisions? This paper investigates the role of independent directors from an optimal contracting perspective, and tries to show how this institution can be understood as an answer to this question. The aim is to contrast independent or outside directors with alternative mechanisms which regulate the agency relationship between executive management and shareholders, such as the market for corporate control, or debt and the control exercised by creditors. The contribution of this paper is to analyze the functioning of corporate boards in the context of a model in which they can be compared to hostile and friendly takeovers, managerial incentive contracts, and creditor control. Adam Smith (1776) believed that the agency problem between owners and managers posed such an obstacle as to make it questionable whether the modern corporation with its separation of those who own it from those who run it is at all a viable institution. However, the separation of ownership and control has proved to be viable, thus indicating that the implied agency problem can be regulated efficiently. Berle and Means (1932) provided the first comprehensive analysis of the organizational solutions that have been developed in order to balance the necessity of managerial discretion against the hazards of unchecked power at the top of the corporation. Although independent directors and the composition of corporate boards have always played an important role, they have received much less attention in the academic discussion, in which hostile takeovers and debt-contracts have taken centre stage (for a discussion of the board see, however, Hirshleifer and Thakor (1991)). More recently, some authors emphasized internal -2control structures as an increasingly important element (e. g. John, Lang and Netter (1992), Jensen (1993); see also Morck, Shleifer and Vishny (1989), Shleifer and Vishny (1988)). The model discussed below focuses on a corporate restructuring problem in order to compare alternative governance structures. The assets of the firm have alternative uses to the current one, and in some states it is optimal to reallocate the assets (e. g. a divestiture). In this case managers have to write off a part of their specific human capital. Hence, the model is set up to cover two elements of restructuring: (1) managers are potentially opposed to reallocating the assets since they have a private stake in their current use; (2) rationally anticipated restructurings can lead to underinvestment in human capital. In this context, independent directors are introduced as agents separate from executive management whose main function is to monitor and renegotiate contracts, but who are not part of the productive activity of the firm as such. In particular, they have no vested interests in particular operating decisions. The capital structure can be used to transfer control from managers to security holders: either to creditors in bankruptcy, or to raiders in takeovers. These mechanisms can be effective in reallocating resources if alternative uses of the firm's assets are more profitable than the current one. However, they breach implicit contracts on which managers and other stakeholders in the corporation rely when making firm specific investments, causing underinvestment if such an interference is anticipated. Alternatively, managers can be protected from such a breach by giving them all rights of control and a high-powered compensation plan that motivates them to make optimal use of the company's assets. Managers can thus be protected by an explicit contract that cannot be breached. It will be shown below that this is not only a very expensive way to induce correct decisions, but also fails to solve the underinvestment problem. Independent directors can serve both goals and induce an optimal use of the company's assets without breaching implicit contracts. The argument below emphasizes the crucial role of their independent judgement and shows that more disruptive mechanisms of corporate control become second best solutions if independent directors become dependent on executive management. The modern literature on the institutions regulating the agency-relationship between shareholders and management in large corporations starts with Jensen and Meckling's (1976) seminal paper. Although their formal model emphasizes the role of the capital structure for -3providing incentives, their informal discussion also stresses the control rights of different members of the corporation in the context of their "nexus of contracts"-approach.2 This view was further elaborated by Fama and Jensen ((1983a), (1983b)) who related the structure of residual claims to the organisational structure of the firm. Their distinction between "decision making" as an executive function, and "decision control" as a supervisory task corresponds to the division of tasks between executive managers and independent directors in the model presented in this paper. The issue of allocating powers to alter the corporate contract has already been raised by Berle and Means ((1932), book II, chapter IV). The role of corporate boards in critical, strategic decisions as opposed to the day to day running of the firm was also emphasized by Lorsch and McIver (1989). The literature on the market for corporate control is vast and will not be discussed here (see Jarrell, Brickley, and Netter (1988) for a survey of the empirical literature and Weston et. al. (1990), appendix A, for a textbook discussion of major theoretical contributions). The most important aspect here is the hypothesis of Shleifer and Summers (1988) that takeover premia are largely explained by transfers of wealth from corporate stakeholders to shareholders and a breach of implicit contracts (see Schnitzer (1991) for a formalization of this argument). Empirical studies have not found much evidence for the claim that such transfers of wealth can explain takeover premia (e. g. Lichtenberg and Siegel (1990), Rosett (1990)). The emphasis in this paper is however on a related but different problem, namely the ex ante incentives to invest in specific skills. These incentives are impaired if implicit long term contracts are vulnerable to breach in future reorganisations of the firm, even though the transfers caused by such a breach may be small relative to other gains from a takeover. The analysis of debt contracts follows a more recent approach that views debt as a mechanism that allocates control contingent on the state between insiders (managers) and outside investors in a world where contracts are incomplete (cf. Aghion and Bolton (1992), Zender (1991)). This literature has opened up perspectives which view debt as a device constraining managerial discretion (see Hart (1991), Hart and Moore (1990), Jensen (1986)). However, such a use of debt causes problems similar to those with takeovers, since control is assumed by security-holders 2 See also Haugen and Senbet (1981) and Farmer and Winter (1986) on the subject of securities and managerial incentive contracts. -4who are not bound by previous contractual arrangements in the firm. The argument in the remainder of this paper proceeds by developing the model and deriving the first-best allocation as a benchmark case (section 2). Section 3 discusses the case where managers are not constrained by other agents and subject only to a compensation contract. Section 4 is devoted to the analysis of corporate boards and presents the main results of the paper. Section 5 investigates to what extent the capital structure can serve as a substitute to independent directors and analyzes takeovers and debt contracts. Section 6 summarizes the ranking of alternative governance structures and concludes. All proofs are gathered in appendix A. 2. Description of the model Consider a project which has been undertaken in the past and yields a state contingent payoff ys where s denotes the state of nature. The payoff ys depends on the state which can take on three values, namely H, M, and L (high/middle/low). It also depends on the decision whether or not to continue the project. The assets of the project have alternative uses which are not known until after the state of nature has been revealed. Realizing the returns from alternative uses requires major restructuring. Restructuring involves redeployment of the assets and their use under a different management, hence either the liquidation of the assets or replacement of the manager. The returns from restructuring are denoted by Ls (then ys=Ls); if the project is continued it yields xs (then ys=xs). All values are expressed in prices of stage 1. The project is summarized in the following diagram: Figure 1 1. 2. 3. 4. 5. time h s decision ys -5- The value from restructuring Ls becomes available after the first period return has been realized. The firm is run by managers who negotiate a compensation-scheme with the owners at the initial stage 1, run the firm and make human capital investments. The human capital investments can be either general or specific to the firm. The investment in human capital is not modelled explicitly here. This assumes that the total amount of investment in human capital (general plus specific) is given, so that only the choice of the specificity of human capital needs to be considered. This specificity of human capital is represented by one variable h, where h lies in the closed unit interval and can be thought of as an index. The following assumption describes the two important elements of the technology. Firstly, the specificity of human capital h increases the probability of success of the firm, i. e. h increases the level of expected profits. Secondly, returns are determined by nature and by the decision how to use the assets. Assumption 1 (Production): (i) ys depends on the continuation decision: (ii) The specificity of human capital determines the likelihood of more profitable states: where (iii) is increasing and concave. and , . . Parts (i) and (ii) of assumption 1 summarize the previous discussion and impose some regularity conditions. Note that the probability of the low state L is independent of h. This assumption facilitates proofs and is for convenience only. The defining characteristic of states is the ranking of continuation profit levels xs in (iii). -6- Managers negotiate contracts with the original security-holders. These contracts specify payments contingent on profits. The managers do not care about the specificity of their human capital investment h as long as the project is continued, and the effort for investing in some kind of human capital does not need to be considered here. However, investing in a high level of firm-specific human capital implies that their value in the outside labour-market has decreased. If the project is discontinued, they suffer a utility loss D(h) which increases in h. One interpretation is that managers have lower career-prospects if the human capital they have acquired is specific to the firm rather than of general applicability. Alternatively, the utility loss may be viewed as a search cost that managers incur if they have to look for new employment.3 Yet another interpretation is that managers' aversion to reallocating the assets is related to the commitment and skill they devoted to the project's development. The following assumption describes managers' preferences: Assumption 2 (Utility): Managers maximize expected utility. Their utility is given by: and where D’ , D’’ . Here E(.) denotes the expectations operator. The assumption states that the disutility from a closure decision, D(h), is progressively increasing in the specificity of human capital: the more specific managers' human capital, the more they are locked into the firm and the higher is their interest in preventing its closure. Assumption 2 also implies that managers are risk neutral. Then their objective can be rewritten as: , 3 I am grateful to Robert Heinkel for this interpretation. (1) -7where P(l) denotes the probability of closing the project under policy l and l denotes the set of states in which the project is closed (e. g. l={L} indicates that the it is closed if and only if s=L; then ; similarly, if , then ). The right to decide about the use of the assets can be assigned to different parties (insiders and outsiders) according to the ownership structure of the firm. The following assumption further defines states and is made in order to introduce the possibility of inefficient decisions about the use of the assets: Assumption 3 (States): (i) (state H) (ii) (state M) (iii) (state L) (iv) )< ( In state H, nobody would consider closing a project. In state M, it is privately but not socially optimal to restructure since the gains do not exceed the pecuniary equivalent of the utility-loss they inflict on managers. In state L, it is privately and socially optimal to redeploy the assets. Only these three situations matter since they describe the conflict of interest between owners and managers; hence, there is no essential loss of generality involved in restricting the analysis to three states. Outsiders who make decisions contingent on pecuniary returns only will restructure whenever L - x>0 even if this difference is relatively small. Assume that h is observable but not contractible. Then managers cannot insure themselves against this by writing compensation payments into their contracts contingent on h. The only way in which they can protect themselves is by investing in general human capital in order to limit their exposure to restructuring-decisions taken by outsiders (i.e. keeping their options open on the managerial labour market). This will, however, make the project less successful. Moreover, condition (iv) ensures that the restructuring gain is sufficiently important relative to potential efficiency-gains from human capital investments to make closure in state L attractive. The timing of the model is displayed below: -8Figure 2 1. 2. 3. 4. 5. time Owners determine governance structure: capital structure managerial contract decision-rights 1. Manager chooses h. State s revealed. Party in control decides on project closure. Payoffs ys realized; parties paid according to contracts; managers paid (ys). Equity-holders determine the governance-structure of the firm by simultaneously choosing the capital-structure, the compensation-scheme for managers and the allocation of decision-making rights. 2. Managers decide on the specificity of their human capital h. 3. Nature moves and selects the project-relevant state s. The state s is immediately revealed to all parties. 4. Control is assigned according to contracts. The party who is in control decides whether to liquidate or not. 5. Payoffs ys are realized, dependent on the states of the firm and the restructuring decision. All parties are compensated according to their contracts; managers receive . The next proposition derives the first-best allocation (l*, h*) as a benchmark for further results. It is defined from the maximand: (2) Recall that P(l) denotes the probability of redeploying the assets under policy l. The first term gives profits as a function of h and follows immediately from assumption 1. The second term is the expected disutility managers suffer (cf. assumption 2 and equation (1)) which is obtained from multiplying the extra disutility of closing, D(h), by the probability of closure. The maximand in equation (2) admits two interpretations: either it is the utility-maximizationproblem of an insider who owns all residual claims to the firm, or it is the profit-maximizationproblem of an owner under the assumption that h and l are contractible at stage 1. The following proposition characterizes the first-best: -9- Proposition 1 (First-best): The solution of program (2) which characterizes the first-best is to liquidate a project if and only if it is in state L. The first-best value is interior and solves: (3) The first-best solution is also unique. I assume throughout the paper that wealth-constraints are sufficiently severe such that outside finance is required and control has to be delegated. The question then arises as to which structure of decision-making, determined by the organizational form (including the managerial contract) is optimal from an efficiency point of view. This will be analyzed in the rest of this paper. 3. Explicit contractual protection: pure managerial control Proposition 1 in the previous section gives the allocation for the hypothetical case that contracts can be contingent on h. However, the maintained assumption of this paper is that h is observable but not contractible. This section develops another benchmark by investigating the impact of pure managerial control. Managers are fully protected by an explicit contract if they exercise all control rights over the use of the assets. Then the only way to obtain the gains from restructuring is a compensation-scheme that gives managers an incentive to close the project in the low state. Assume all decision-making is delegated to managers. Owners then offer managers a contract contingent on profits which is constrained by the following assumption: Assumption 4 (Managerial contracts): (i) Managers' compensation can be any contract subject to the condition that it cannot involve negative payments in any state, i. e. for all . - 10 (ii) Managers have zero wealth and a reservation-utility from alternative employments which gives them zero expected utility at stage 1. This assumption ensures that managers will not be made residual claimants; since their utility is linear in wealth, this must be ruled out, otherwise the solution of the problem would be trivial. Assumption 3(iv) ensures that owners will never forego the gain from restructuring in state L only in order to improve efficiency. Hence, they have to induce managers to close the firm in state L by an appropriate compensation-payment. Denote by the degree of specificity of human capital for the case of explicit contractual covenants, and by r the rent managers extract, defined as the difference between their expected utility and the utility of their outside option. Proposition 2 (Managerial control): (i) The optimal managerial contract in the case of explicit contractual protection of the manager has: (4) , where and satisfy: (5) from managers' first order conditions. This induces restructuring if and only if s=L and does not implement the first-best efficient solution characterized in proposition 1; in particular, (ii) . Managers obtain a rent which is strictly positive, namely: (6) - 11 Hence, managers receive a bonus µ(xH) in the high state and severance pay µ(LL)=D(hE) in the low state when they redeploy the assets. In view of proposition 2, profits ΠE in the case of pure managerial control are: (7) Hence, in setting µ(xH) owners trade off the benefit from higher profits of the firm against the rents they have to pay managers in order to implement a certain value for h. Since these rents increase in h, a suboptimal value hE < h* is chosen. The weakness of protecting managers by explicit contracts is that managers do not sign an employment contract contingent on h and have to be motivated by a bonus payment µ(xH) in the high state. The outcome reflects the characteristics and tradeoffs of a standard moral hazard situation. The next section introduces an ownership-structure which overcomes this problem. 4. Independent Directors This ownership-structure introduces another agent which I call a supervisory board of directors or simply independent directors. For the purpose of this argument it is immaterial whether independent directors are a part of a unitary board, or form a separate supervisory board in a two-tier system. Directors do not invest any human capital themselves and can be given an incentive scheme which induces them to maximize the firm's total net profit. They consider only the pecuniary returns of the firm according to their contracts. Denote directors' compensation by δ. Their contracts are restricted: Assumption 5 (Directors): (i) All compensation-schemes for directors must be linear payments which may be contingent on the profit of the firm and on managers' compensation. They must be of the form: (8) (ii) Directors maximize expected utility given from (iii) Directors have zero wealth and an outside option which gives them zero expected utility at stage 1. . - 12 - The restriction to linear contracts and to equal coefficients on ys and - is for convenience only: since the next proposition shows that the first-best can still be implemented, this restriction is not binding. Directors' motivation can be understood in two ways. Firstly, they may be obliged to hold γ shares of the firm which entitles them to a fraction γ in the dividend . Alternatively, they may be under a fiduciary duty to shareholders to act on their behalf. In this context such a duty would oblige them to maximize dividends.4 Under this ownership-structure, managers have the right to decide about the use of the assets. Directors have the right to review managers' salaries. For clarity, denote the original managerial contract agreed at stage 1 by and the compensation offered by directors by . Directors can influence closure decisions by offering managers additional compensation for divesting. Hence, managers negotiate with directors over the closure decision and over adequate compensation. 4.1 Full control by independent directors In the first version of this ownership-structure considered here directors have all the bargaining power when they negotiate the adequate compensation for compensating managers. Whenever directors want to redeploy the assets they offer managers a compensation in return for their consent to this decision. The extensive form of stage 4 (see figure 2 above) is then the following stylized bargaining game: (a) directors offer managers a compensation subject to their consent to asset-reallocations; (b) managers accept or reject this offer; (c) If they reject, the original managerial contract is implemented, managers receive and no assets can be sold. If they accept, they receive and directors decide whether to liquidate or not. The firm is fully equity-financed and equity has no voting rights. Proposition 3 describes the allocation: 4 Cf. Hart (1992) for a discussion of fiduciary duties. - 13 Proposition 3 (Directors): Assume control is delegated to managers and directors such that directors make decisions subject to managers' consent, i. e. directors retain all bargaining power. Managers receive a transfer in state s=L and zero transfers in the other two states. There are no profit-contingent payments, i. e. for all . This mechanism implements the first-best. The renegotiation-mechanism implements the optimal restructuring-policy since it effectively insures managers against ex post expropriation by security holders who have no right to interfere at this stage. Managers do not care about asset reallocations when they make human capital decisions because they know that they will always be adequately compensated. This has the consequence that directors take into account all benefits and losses from restructuring, not just pecuniary payoffs. Hence, they redeploy assets only in those states where this is optimal. The proof shows that given a certain level of human capital specificity and given restructuring is desired, the optimal managerial contract may specify the same compensation as will be negotiated between directors and managers (in that in both cases managers obtain D(h) if s=L, although this relates to different values of h in equilibrium). However, they are the same only in equilibrium; the payments under a managerial contract do not cancel against managers' disutility identically as under the director-mechanism. There renegotiation-subgame starting with some value for all h, i. e. for every . The incentive-implications of the two solutions to the agency-problem are very different for this reason. The key difference is the point at which compensation is offered to managers. If managers have an incentive contract which is negotiated at stage 1, they choose h after state-contingent payments have been fixed, which can then not depend on their choice of h. In the director-mechanism, the compensation is determined later and takes h into account. Therefore, even though the payment-levels are the same, the way they are set implies different incentives for managers. This result is a robust feature of renegotiation under symmetric information (cf. Hermalin and Katz (1991) for a proof in a general principal-agent contract). Monitoring by a second agent who is subject to an explicit contract is a substitute for a complete or comprehensive contract, which is by assumption not available here. - 14 Note that all three characteristics of directors are important for the result: - directors have no vested interests in particular operating decisions. In particular, they have no specific human capital at stake in case of project closures. - directors' aim is to increase pecuniary payoffs to shareholders only. They may be motivated explicitly by shareholdings, or by the possibility of litigation enforcing their fiduciary duties. - directors have all the negotiating power vis a vis managers. The first characteristic may be regarded as the definition of an independent director. Directors whose human capital is so specialized that it gives them a stake in a particular decision are not independent and should be classed as executive management. The second characteristic is controversial since some practitioners argue that independent or outside directors should not hold shares or participate in incentives plans. The last feature presents the strongest assumption of this section. Its relaxation is the subject of the next section. 4.2 Managerial negotiating power The positive result about implementation of the first-best with the director-mechanism is obviously extreme as it depends on all bargaining-power being given to directors. However, as directors need managers' consent in order to force restructuring and because they have to renegotiate their salary, managers may be to some degree successful in pressing for a higher compensation than is needed to make them just indifferent between continuation and closure of the project. This section therefore analyzes the same ownership-structure as the previous section under alternative assumptions on bargaining power. Hence, the extensive form of stage 5 of the game is now: (a) Directors and managers bargain over the decision to close the firm and over managers' salary. (b) If they reach an agreement, managers receive a transfer and implement the agreed restructuring decision. If they do not agree managers decide and do not receive any transfer. - 15 - The bargaining outcome is determined from:5 Assumption 6 (bargaining): If managers and directors enter a bargaining game at stage 4, then the outcome is determined according to a generalized Nash-bargaining solution which gives directors bargaining-power 1-α and managers bargaining-power α. It is almost impossible to prescribe in any kind of explicit contract the bargaining-positions of insiders who work in close relationships, let alone formalize such a bargaining-process. The approach advocated here is to avoid any speculation about what the give and take in the relations between directors and managers is, and to take "bargaining power" as exogenously given rather than to make it part of the formal model. The determinants of the relative positions of directors versus executives are discussed in the concluding section. From assumption 5 (i) (contracts for directors), directors receive in case of closure Similarly, managers get and in case of no closure in case of continuation and the maximand for the generalized Nash Bargaining game is, assuming . in case of closure. Hence, : (9) Then: (10) It is intuitive that bargaining power (i. e. α > 0) should not matter if it is not in some sense "too large". This is expressed in the following proposition. 5 For a textbook treatment of the generalized Nash bargaining-solution see Binmore (1992), ch. 5. The cooperative solution chosen here is directly related to non-cooperative bargaining solutions and the solution below has an interpretation in terms of alternating offer games; cf. Osborne and Rubinstein (1990), ch. 4 for a discussion. - 16 Proposition 4 (Bargaining Power): (i) Suppose assumption 6 holds and managers have bargaining power α. Then the firm will be closed if and only if it is in state s=L and directors award managers a transfer contingent on α and h given by: (11) and (ii) in all other states. If α>0, the director-mechanism does not implement the first-best anymore. However, there exists a threshold value , s. t. implies that the director-mechanism still dominates pure managerial control. (iii) There exists a second threshold level with the property that implies that managerial control dominates the director-mechanism. It may be noted that the minimum payment which managers receive if they have no bargainingpower (α=0) is D(h) as in proposition 3. However, if they have bargaining-power, they receive not only a compensation for their disutility but also a fraction α of the surplus. If α=1, they obtain the whole surplus, a standard result for Nash-bargaining-games. Hence, proposition 4 implies that directors with bargaining power less than are worse for the firm's profits than delegation to managers "no strings attached". The intuition behind the third part of the result is that directors who do not have sufficient bargaining-power against management do not only become less useful, but positively harmful since they worsen managers' incentives to choose specific human capital investment. This is somewhat surprising because managers' compensation in restructuring-states increases with their bargaining-power. Since compensating them sufficiently for their utility-loss in restructuring-states was the main force behind proposition 3, one might expect that an even larger compensation should only give them higher rents, but leave their investment-decision unchanged. Inspection of equation (11) reveals why this is not the case. If managers have vetobut no bargaining-power (α=0) they receive . The "pie" to be split is the net gain from restructuring, i. e. the pecuniary benefit minus the amount necessary to compensate - 17 managers' utility-loss: . This "pie" is shrinking for higher values of h. If α=0, managers are not affected by this. However, the higher their bargaining-power, the higher the weight the size of this net gain has in their decision about h. Eventually, for high values of α, their incentives, i. e. their responsiveness to a higher value of , approach those of the case where they receive no compensation since their compensation becomes a constant. This is so because if managers have all the bargaining power, they receive independently of the h they have chosen before. This was shown to lead to inefficiencies in proposition 2 above. More formally, first order conditions for choosing h in the director-mechanism are: . (12) This coincides with the expression for managerial control if α=1; cf. equation (5) above. Pure managerial control is better than the director-mechanism because with the bargaining power of managers becoming large, the director-mechanism is similar in terms of incentives but transfers are smaller if they can be fixed in a managerial contract. This is therefore always cheaper from the point of view of owners. It is this double hazard which directors with low bargaining-power introduce: they award excessive salaries to managers, causing a direct loss to security-holders, and they distort incentives, thereby causing an indirect loss in the form of productive inefficiencies. The two taken together lead to the uniform verdict expressed in proposition 4. 5. Control and capital structure The previous section has shown that independent directors have the potential to implement the first best if their negotiating position is very strong, otherwise an independent supervisory board may be a mixed blessing. Under such circumstances, managerial discretion may be checked by creditors or raiders. The circumstances under which they gain control of the firm are determined by the capital structure and the corporate charter. These mechanisms are discussed in this section in order to investigate alternatives to the internal control structures analyzed above. The first subsection shows how leverage can induce creditor control, whereas the second subsection focuses on the market for corporate control as an external disciplining device. - 18 5.1 Debt and creditor control Assume now that ownership rights can be transferred to security-holders by using profitcontingent debt. The latter describes a financial contract which specifies that control of the firm is transferred to creditors if profits fall below a certain value (see below). If creditors have the right to liquidate, they will always liquidate at t=1 if L - x>0, i. e. they will only consider pecuniary returns. Suppose the face value of debt F satisfies . Then in state L, the firm is bankrupt and creditors liquidate the assets after gaining control. In state M the manager can issue junior debt or equity to raise an amount F in the market and pay off creditors so that the firm is not forced into bankruptcy. Another view of bankruptcy leaves the manager formally in control in state L. Then managers close the project themselves and use the restructuring proceeds to pay off debt. This leads to the same allocation and is equivalent for the benefit of this discussion. The following proposition presents the main result on creditor control; hD denotes the level of h chosen by the manager if owners have chosen the optimal debt level. Proposition 5: (i) Two debt-policies can be optimal for owners: (1) l={L}: the firm will be closed in state s=L; (2) l={M, L}: the firm will be closed in states s=M and s=L. (ii) This solution gives owners higher profits than pure managerial control and is dominated by the director-mechanism as characterized in proposition 4.1; the solution involves underinvestment in specific human capitals: . Even though owners can reduce the rent managers can extract relative to pure managerial control, investment in specific human capital remains inefficient. Recall from proposition 2 that under managerial control managers obtain a strictly positive rent (given by equation (6)). Hence, whenever owners determine the optimal debt-policy, they have to observe two constraints: first, managers' incentive compatibility constraint which requires: . (13) - 19 and second their participation constraint which amounts to (cf. equation (A 16) in appendix A). From assumption 3(ii), it can never be profitable to liquidate in state s=M if this requires an additional payment to the manager in that state. However, if managers receive a strictly positive rent if l={L}, then it is possible that liquidating in state s=M as well only reduces their rent and owners gain minus the efficiency loss from a higher probability of project closure. Since no assumption on the parameters of the model prevents this from being positive, l={M,L} is possibly an optimal policy and debt leads to excessive project closures relative to the first-best criterion. Debt is better than managerial control because it reduces rents received by managers. Note that this is a purely redistributional argument. Allocative efficiency is generally reduced by too frequent restructurings since h is reduced further below its first-best value. The next section illustrates how voting equity, like debt, can serve to implement an alternative system of checks and balances. 5.2 Takeovers and the role of the corporate charter Assume the firm is fully equity financed and at least a certain part of the outstanding shares have voting rights. The number of outstanding shares is normalized to 1. Suppose after stage 3 a potential raider can take over the company and bid for the voting rights. Moreover, assume the raider can acquire a fraction φ of the firm at the current market price PM, where PM is the ex dividend value of the shares at stage 3 before a bid is announced. Evidently, bidders are only interested in pecuniary payoffs, leaving managers vulnerable to interventions by outsiders who do not take into account the loss they may suffer if their human capital is depreciated. Consider therefore the inclusion of takeover defenses in the corporate charter which owners decide at the first step of the game. Hence, stage 4 of the game described in section 2 has the following extensive form: (a) A potential raider decides whether to take over the firm or not. If not, managers decide about the use of the assets. (b) If the raider decides to take over, he purchases φ shares on the stock market at the current market price PM and announces the conditions of the bid. (c) Managers decide whether they use takeover defenses if such defenses are available to them. - 20 (d) If managers defend the bid effectively, they stay in control and decide about the use of the assets. If they do not defend the bid, shareholders decide whether to tender their shares. (e) If the bid succeeds, the raider gains control and decides how to use the assets. Otherwise managers stay in control and make decisions. Then only states where are candidates for takeovers. The raider will close the firm, redeploy the assets and obtain Ls. Hence, the post announcement value of the share is Ls. Shareholders will tender their shares only if the raider offers Ls, otherwise they would prefer to stay as minority shareholders in the firm and the bid would fail.6 Denote by q the probability that a takeover bid is made, which is also the market's expectation of a bid in equilibrium. Then, before the announcement of the bid the value of the company and the market price of the share is . The raider's profits are: . Hence, the raider will take over whenever which requires (14) . Note that R>0 implies q=1. This cannot be an equilibrium since q=1 implies R=0 and PM=Ls. Hence, the unique equilibrium has R=0 and q=1 so that shareholders obtain Ls whenever Ls>xs. This gives the first result on hostile or undefended takeovers: Proposition 6 (Hostile takeovers): If takeovers are undefended, a bid will always be made whenever s=M or s=L. Managers receive only a payment if the state is high ( ) and the outcome is exactly as if l={M, L} is implemented with debt in proposition 5. Takeovers lead to excessive asset reallocation because this is optimal after stage 3 when the decision about human capital is sunk and managers cannot bribe potential raiders. This situation provides a rationale for takeover defenses which give managers some control over the takeover process. There are numerous strategies to defend bids.7 Since takeover defenses are not the focus 6 This is familiar from the analysis of the free rider problem, cf. Grossman and Hart (1980), (1981). See Weston et. al. (1990), ch. 20 for a textbook treatment of takeover defenses, and Herzel and Shepro (1990), ch. I.8, for a discussion from a legal point of view. 7 - 21 of this discussion, no analysis of the mechanics of different devices is undertaken here. Assume for the remainder of this section that managers have access to some effective defense, e. g. a poison pill, and that a raider can only acquire control of the assets by obtaining managers' consent for the transaction. Evidently, this is only possible if the raider offers a compensation which at least offsets their disutility D(h). Hence, the raider's profit is now: . (15) It follows immediately from (15) that the unique equilibrium of the takeover subgame (stages 4, 5) is different from the one in proposition 6: if q=1, R= -D(h), hence no bid will be made. Moreover, if φ is sufficiently large and q=0, then is positive and the unique equilibrium is in mixed strategies. The complete result is given in the following proposition, where the subscript FT refers to the allocation with friendly takeovers. Proposition 7 (Friendly takeovers): Suppose managers can obtain a severance payment and can use takeover defenses. Then hostile takeovers will not take place. Friendly takeovers take place only if s=L and a bid will be made if s=L with probability: (16) Managers receive severance pay equal to in the event of a takeover, but no other salary payment and they are indifferent about h. ; however if can be larger or smaller than . The crucial element which limits the probability of a takeover is the fact that the costs of the bid, namely the severance payment to the manager, are born privately by the raider. The raider can only profit on the fraction φ he owns before announcing the bid, since the fraction 1-φ must be acquired at a post-announcement price . On this `toehold` he can only profit if the market anticipates a takeover with probability q<1. This is so because the stock price before the bid includes a takeover premium above the value of the firm under the incumbent management. However, if q=1, then PM=Ls and the gross profit from a successful takeover is zero and the net profit negative, since bids are now costly. Hence, the potential bidder must - 22 randomize and keep the stock market guessing about the probability of a takeover. Then the takeover premium in the market price will be reduced, leaving some room for the raider to recover the costs of the bid. Hence, the takeover defense is successful in preventing too frequent restructuring and the resulting underinvestment in specific human capital. However, defenses bring about the opposite problem: there are too few takeovers since q<1 in equilibrium: with probability 1-q there is no takeover in the low state. If the likelihood of a takeover is sufficiently low, then the underinvestment effect is also reversed. Indeed, if φ is small enough and there are no takeovers and it is optimal to have . The allocation with , , is inferior to the allocation with a managerial incentive contract described in proposition 2. At some point it would obviously be advantageous to induce closure by giving the manager the incentive contract described in proposition 2. The details of the interaction between managerial incentive contracts and friendly takeovers are not pursued here. Similarly, the allocation can improve if the costs of a takeover can be recaptured with exclusion devices as discussed in Grossman/Hart (1980). This possibility relies on very restrictive assumptions and is further analyzed in appendix B. An equilibrium in mixed strategies is not always very intuitive. Note, however, that the equilibrium in proposition 7 can be understood in terms of a pure strategy equilibrium of an incomplete information game.8 Suppose there are different types of raiders with different valuations of the assets. Then the stock price PM will be such that it is profitable for those raiders who have a high valuation to bid, whereas those with valuations below a certain threshold will not bid. This setup has been studied by Shleifer and Vishny (1986) and Hirshleifer and Titman (1990), whose analysis provides therefore another motivation for the mixed strategy equilibrium described above. This whole section confirms an intuition already stated by Shleifer and Summers (1988): if managers rely on an implicit, long-term contract with the firm when they make far-reaching decisions, the possibility of hostile takeovers has a social cost. It was shown here that friendly takeovers provide an alternative, even though under somewhat restrictive assumptions, and that the associated and potentially large separation payment serves an efficiency-enhancing purpose. 8 See Fudenberg and Tirole (1990), pp. 233-234 for a statement of the purification theorem. - 23 6. Discussion and Conclusion This paper has investigated a model in which the assets of the firm have alternative uses which are sometimes more profitable than the current one. Managers of the firm invest in firm specific human capital which becomes worthless in case the firm is restructured and projects closed. Human capital decisions are not contractible, so that managers are given either all residual rights of control, thus protecting them from outside interference, or they have to rely on implicit contracts with the firm which are sometimes breached. In this situation the allocation can be improved if rights of control are delegated to two agents. The first is executive management which is in charge of the day to day running of the firm, invests in specific human capital, and has primary control over business decisions like the use of the assets. The second agent is a supervisory board or a group of independent directors whose main instrument of control is the discretion they can exercise over managers' remuneration. This gives them influence over restructuring decisions, which can then be facilitated by making appropriate compensation payments. The analysis has also provided a ranking of the alternative governance structures discussed above (cf. figure 3). Here the labels "Strong" and "weak" refer to directors" bargaining position vis a vis executive management. Independent directors can secure gains from restructuring and simultaneously sustain the commitment of the company to implicit contracts. However, if directors are weak, managers' severance pay is largely determined by their bargaining strength and they are able to extract excess compensation payments in restructuring. Then shareholders lose twofold: directly, since they lose the extra compensation paid to managers, and indirectly, since managers' pay is determined by their bargaining position and independent of their performance variable, namely investment in firm-specific human capital. As a result, weak directors are the worst possible solution to regulate the agency problem. Corporate raiders or creditors can force restructuring if they obtain control of the company's assets and secure the restructuring gains for shareholders. However, they make managers vulnerable to losses of their specific human capital, thus causing underinvestment, an effect that is impounded into the value of the company. These institutions associated with the capital structure are nonetheless second best solutions that improve on unconstrained managerial control of the corporation: explicit contractual protection is no alternative to implicit contracts that can be breached. - 24 - Figure 3 Strong Directors > Takeovers, Debt > Managerial Control > Weak Directors The formal analysis has taken directors' bargaining power vis a vis managers as exogenous.This is useful in the context of a model, but should not be taken to suggest that the determinants of bargaining power or different degrees of directors' independence cannot be distinguished. Lorsch and McIver (1989) identify in particular (1) the nomination process of directors (selected by the CEO or an independent committee), (2) their legal accountability, and (3) their access to independent informational sources. Similarly, the Cadbury committee (1992) in the UK has stressed these elements and the separation of the functions of CEO and chairman. Another element is emphasized by Baysinger and Butler (1985), who found that firms perform on average better if their outside directors are independent from the firm and do not represent organisations with financial or business relationships with the firm. Weisbach (1988) also found evidence for outside directors improving corporate performance. The analysis has shown how independent directors can be understood as an institution that regulates the relationship between shareholders and managers in a world where contracts are incomplete. They are different from executive management since they do not participate directly in the productive activities of the firm, and accordingly do not invest in firm specific human capital. However, even though they act on shareholders' behalf, they are not like a large majority shareholder who exercises all residual rights of control, since directors have to respect managers' prerogative over the allocation of assets. If a large shareholder exercises all residual rights, he is more akin to a corporate raider, so that the result on hostile takeovers applies. However, - 25 directors are more similar to a large shareholder or a group of large shareholders who do not exercise all residual rights of control and who have delegated the rights to control the assets to the manager. This would then resemble a closely held company in which shareholders can negotiate directly with managers. Independent directors can thus be seen as an institution that permits the same kind of negotiation in a widely held corporation in which shareholders cannot influence production decisions directly. The important insight is that in widely held companies control has to be delegated to two institutions or agents: managers, who are in charge of the day to day running of the firm, and directors who monitor and review contracts and use this right as an instrument to influence business decisions. - 26 Appendix A Proof of proposition 1: Suppose the insider has chosen h before states were realized. Then in each state s the project will be liquidated if and only if: . (A 1) By assumption 3, this is only the case for s=L. Hence either I={L} or I=Ø. From assumption 3(iv), the gains from liquidating in state L outweigh the costs, hence I={L}. Then first order conditions are then given by equation (3) in the text (from equation (2)). By assumption 1(ii), this solution is interior. The maximand (2) is strictly concave from assumptions 1(ii) and 2. Hence, the unique solution is characterized by equation (3). Proof of proposition 2: (i) For any optimal managerial contract μ(ys) is zero for all levels of profits in which it does not serve to either induce managers to liquidate a project, or to provide them with an incentive to increase h. Payments in any other state would be pure transfers from owners to managers without any benefit for the owners. Suppose that owners want to implement hE and want managers to liquidate in state s. Then μ(xs) and μ(Ls) must satisfy: (A 2) which implies: in the optimal contract since owners want to minimize transfers. However, a necessary condition for such a transfer to be optimal is that it increases profits for owners, i. e. if: (A 3) - 27 which only holds for s=L. Together with assumption 3(iv), this implies that l={L} is optimal and describes the optimal managerial contract for implementing it. Now assume I={L}. Then managers have utility: (A 4) Owners solve: (A 5) s. t. the first order conditions of the manager, which are: . This gives immediately that . Moreover, assume first order conditions imply that (A 6) . Then managers' . Substituting this into equation (A 5) gives: . However, then if . The same calculation shows that contradicting the assumption that (iii) if , can be a solution, therefore . Also, assumption 1(ii) ensures that However, then (A 7) and hence . . Managers' expected utility is: (A 8) which gives the value for r after observing that their outside option gives them utility equal to zero and that the expression in brackets equals zero. - 28 - Proof of proposition 3: Managers will accept any compensation offer which satisfies after having chosen h. Since directors' compensation is decreasing in μ from assumption 5(i), they will transfer in every state in which they want to close and in all other states. Since directors' pay increases in , they will liquidate if and only if: (A 9) which is the case if and only if s=L from assumption 3. Hence for s=1,2 and for s=L. Moreover, by the same reasoning as in proposition 2, so that managers' maximand becomes: identically for all h. Hence, if s=L. This makes a function of h and since D(h) cancels against leaving the manager indifferent about h. Then profits are: (A 10) which gives the same first order conditions as above and is chosen. Proof of proposition 4: Setting and rearranging gives: (A 11) which gives equation (11) in the text. (ii) The profit-function for this case is: - 29 (A 12) and managers' utility: (A 13) Hence, implies that managers choose assumption 1(ii), therefore . This cannot be true from . Observe that function of h from this with can be written as a >0. Hence: (A 14) which is negative for all implies managerial control, an . Hence and h is a continuous function of α s. t. . Since at α=0 the director-mechanism dominates debt and pure with the stated property must exist. (iii) Assume α=1, i. e. the manager has all the bargaining-power. The manager's first order conditions are the same as in the case of managerial control (cf. equation (A 6) in the proof of proposition 2 above). Hence, owners choose the same h as in that case. However, which is larger than , the transfer for the optimal managerial contract by assumption 3. The same continuity argument as in section (ii) applies to show the existence of an with the required property. - 30 Proof of proposition 5: (i) It can never be optimal to liquidate when s=H, since xH>LH. Moreover, it cannot be optimal to liquidate if s=M but not to liquidate if s=L since LL-xL>LM-xM from assumption 3; this rules out l={M}. Also from assumption 3 it is not optimal not to liquidate in state s=L since is the maximum efficiency loss from restructuring and smaller than the gain . This leaves l={L} and l={M,L} as the only possible candidates for an optimal restructuring-policy. (ii) Consider l={L}, the policy implemented by the optimal managerial contract from proposition 2. Then profits from pure managerial control are given by: (A 15) where μ(LL)=D(hE). Denote the optimal solution for the choice parameters under pure managerial control by and recall that they must satisfy: (A 16) from manager' participation and incentive compatibility constraints respectively. Under debt-control, μ(LL)=0 since the manager does not have to be induced to close the project. Then define: (A 17) and define the profit function under debt-control as: (A 16) - 31 Direct calculation shows that maximized at . However, is generally not and the maximized value will be greater. Hence, it is more efficient to implement l={L} with debt-control rather than pure managerial control. Moreover, if l={M,L} is the optimal policy, the ranking is . The proof that follows analogously to proposition 2. Proof of proposition 7: (i) The raider offers managers some payment b. By assumption, managers can always stop a takeover. Hence, they will agree with the takeover if and only if and the raider will pay D(h). From assumption 3, this will take place only if s=L and the raider's profit from the takeover is . If φ is large enough, R>0 if q=0, hence in equilibrium 0<q<1. The condition for randomizing is R=0 and can be solved to yield: (A 19) If φ is not large enough so that the expression in the text is negative, q=0. If a takeover takes place, shareholders obtain: (A 20) where the fact that R=0 has been used for the last transformation. If there is no takeover, initial shareholders simply receive xs. Hence, total expected profits are: (A 21) Hence, first order conditions are, using the definition of q above: - 32 (A 22) Comparing this with the first order conditions in proposition 1 gives that are possible, depending on the sign of , hence if q=0. at or . Finally, if q=0, then - 33 Appendix B: Friendly Takeovers This appendix extends the results of section 5.2 on takeovers. Suppose the corporate charter could include a clause specifying that any severance pay received by the manager in the event of a takeover is paid out of the company's cash flows and that there is sufficient competition in the market for corporate control. Proposition 8: Assume a successful bidder is permitted to grant managers severance pay out of the target firm's funds and there are at least two potential bidders. Moreover, if there are several bids, the highest bid must be accepted. Then the first best is implemented choosing a takeover defense. The manager chooses and obtains a payment in the event of a takeover and takeovers take place with probability 1. Proof: The raider has to pay the manager at least D(h), otherwise the manager uses the takeover defense. If this is offered, the post-takeover value of the firm is , which is also the price the raider bids. The value of the company without a takeover is xs, hence . Hence, the raider's profits are: (A 23) Hence, in equilibrium q=1 and R=0. Any bid offering more than leads to negative profits, any bid lower than this invites competition. Note that a similar result can be achieved with exclusion devices like restricted offers of the kind discussed in Grossman/Hart (1980). The competition requirement is essential and makes the result restrictive. If there was only one potential bidder, she could always - 34 offer managers a bribe b>D(h) and shareholders a price that a bid of . Competition ensures and a payment equal to the disutility is the unique equilibrium. Hence, the market for corporate control can also implement the first-best solution if three provisions are made: - managers are allowed to defend the company. - The bidder can overcome managers' resistance by offering them severance pay if they abstain from using their rights. This is not the same as a golden parachute which will normally be provided ex ante, i. e. before the event of a takeover and has therefore very different incentive implications (cf. the discussion in section 3 above). - Managers' separation payments D(h*) are taken out of the firm's funds and there are at least two potential raiders. Effectively, this implements the same kind of renegotiation-mechanism as discussed in section 4 and hence much the same comments apply. Raiders take the place of directors. They initiate the process and have all bargaining power. Managers exercise veto-power with the potential use of takeover-defenses. The net benefits accrue to initial shareholders because the bidder does not make a net profit in equilibrium. Takeovers are friendly, because raiders have to buy managers' agreement to a bid. The result shows that the takeover process can be understood as a mechanism which renegotiates the managerial contract. 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