Chapter 9 Bankruptcy procedures 9.1 Critique of existing procedures (i) Auctions. The problem with auctions is that assets sold off piecemeal may be sold at a substantial discount The financing problem. It takes too long to raise money from a large number of investors. A small number of investors may be risk averse and unwilling to pay the expected value of the assets Lack-of-competition problem. The costs of participating in an auction keeps the numbers small (ii) Structured Bargaining.(E. g, Chapter 11). Chapter 11 mixes two kinds of problems, who should get what(whose debt forgiven and by how much) and what should be done with the firm(liquidated, re-organized, and if ized under what financial structure). Conflicts of interest and asymmetric information are likely to lead to breakdown. Placing decisions in the hands of representatives and supervising judges creates agency problems Problems with Chapter 11:(a)takes a great deal of time;(b) serious loss of value during Chapter 11;(c)significant legal and administrative costs;(d) soft on management;(e) judges abuse discretionary power Incentives to delay: ability to delay resolution gives bargaining power to junior creditors(c.f. alternating offers bargaining; option value of delay in case value of assets increases to,(i)Administration.(E.g. the French system). Saves costs and unlikely be soft on management. However, judge may not have required expertise
Chapter 9 Bankruptcy procedures 9.1 Critique of existing procedures (i) Auctions. The problem with auctions is that assets sold off piecemeal may be sold at a substantial discount. • The financing problem. It takes too long to raise money from a large number of investors. A small number of investors may be risk averse and unwilling to pay the expected value of the assets. • Lack-of-competition problem. The costs of participating in an auction keeps the numbers small. (ii) Structured Bargaining. (E.g., Chapter 11). Chapter 11 mixes two kinds of problems, who should get what (whose debt forgiven and by how much) and what should be done with the firm (liquidated, re-organized, and if re-organized under what financial structure). Conflicts of interest and asymmetric information are likely to lead to breakdown. Placing decisions in the hands of representatives and supervising judges creates agency problems. Problems with Chapter 11: (a) takes a great deal of time; (b) serious loss of value during Chapter 11; (c) significant legal and administrative costs; (d) soft on management; (e) judges abuse discretionary power. Incentives to delay: ability to delay resolution gives bargaining power to junior creditors (c.f. alternating offers bargaining); option value of delay in case value of assets increases. (iii) Administration. (E.g., the French system). Saves costs and unlikely to be soft on management. However, judge may not have required expertise. 1
CHAPTER 9. BANKRUPTCY PROCEDURES (iv)Automatic Financial Restructuring. Bankruptcy automatically trig- gers conversion of all debt to equity. The problem is there is no punishment for management and hence no bonding role for debt 9. 2 The AHM-Bebchuk procedure The goal of a good procedure is (i) it maximizes ex post value of the firm(with appropriate distribution across claimants) and(ii) it preserves the(ex ante) bonding role of debt by penalizing management adequately in bankruptcy states When bankruptcy occurs, all debt is immediately cancelled. The new firm is all equit A judge is appointed to supervise the process. He has two taskes:(A) solicit cash and non-cash bids for new all-equity firm;(B) allocate rights to the shares in the firm Task A: Soliciting Bids. There is no difference between soliciting bids for the assets of the firm and a proposal to run the firm as a going concern, once non-cash bids are allowed. E. g the management could offer to buy the firm by offering one share in the new(identical) firm for each share in the old firm Task B: Allocating rights, Assume that the value of the claims is settled as under existing procedure( Chapter 11 or Chapter 7). Then there are n classes of creditors(i=l, ...,n) who are owed D1, Dn, where 1 is most senior, 2 next most senior, etc. Shareholders are class n+1 Suppose that V is the publicly known value of the firm. Then class i receives Si, where S1= minV, D1h and Si is determined recursively by the formula S2=mn{-∑S,D},=2,…,n and the shareholders receive what is left over nce v is not known. bebchuk has constructed the following scheme
2 CHAPTER 9. BANKRUPTCY PROCEDURES (iv) Automatic Financial Restructuring. Bankruptcy automatically triggers conversion of all debt to equity. The problem is there is no punishment for management and hence no bonding role for debt. 9.2 The AHM-Bebchuk procedure The goal of a good procedure is (i) it maximizes ex post value of the firm (with appropriate distribution across claimants) and (ii) it preserves the (ex ante) bonding role of debt by penalizing management adequately in bankruptcy states. When bankruptcy occurs, all debt is immediately cancelled. The new firm is all equity. A judge is appointed to supervise the process. He has two taskes: (A) solicit cash and non-cash bids for new all-equity firm; (B) allocate rights to the shares in the firm. Task A: Soliciting Bids. There is no difference between soliciting bids for the assets of the firm and a proposal to run the firm as a going concern, once non-cash bids are allowed. E.g., the management could offer to buy the firm by offering one share in the new (identical) firm for each share in the old firm. Task B: Allocating Rights. Assume that the value of the claims is settled as under existing procedure (Chapter 11 or Chapter 7). Then there are n classes of creditors (i = 1, ..., n) who are owed D1, ..., Dn, where 1 is most senior, 2 next most senior, etc. Shareholders are class n + 1. Suppose that V is the publicly known value of the firm. Then class i receives Si, where S1 = min{V,D1} and Si is determined recursively by the formula Si = min{V −X j<i Sj , Di}, i = 2, ..., n and the shareholders receive what is left over Sn+1 = V −Xn i=1 Si. Since V is not known, Bebchuk has constructed the following scheme
9.2. THE AHM-BEBCHUK PROCEDURE The most senior class(class 1)is allocated 100% of firms equity(a creditor owed di receives a fraction d1/D, of shares ). The firm has the right to redeem the claim at a price of D, The next most senior class(class 2), is given the option to buy equity at a price of P2= Di; however, the firm can redeem this claim at a price of D2 Class i investors 3<i< n) have the option to buy equity at Pi > di, but the firm can redeem the claim at D Shareholders(i=n+1) can buy equity at a price of Pn+1=> di After the options have been exercised, there is a vote by the new equity holders on which of the cash and non-cash bids to accept Suppose that various bids have been received but that different classes of creditors believe the bids are worth different amounts(recall that there are non-cash bids). Let class i's valuation of the best bid be Vi. How will the Bebchuk scheme work? Class i>1 will want to buy equity if Vi>Pi. What if this is true for more than one class? Presumably the firm's right to redeem the claim takes precedence over the right to buy and the most junior creditor for whom Vi Pi gets to buy the equity. However, this may not be the creditor for whom the value of the firm is the highest. But perhaps one gets closer than by other method Aghion, Hart, and Moore(1992) claim that this procedure solves the financing problem by allowing non-cash bids It does not deal directly with the lack-of-competition problem, but they say that allowing non-cash bids is likely to mitigate it It replaces structured bargaining by a simple vote Unlike automatic financial restructuring, which leaves incumbent man- agement in place, incumbent management remains only if there is an explicit vote by shareholders to retain them References: Aghion, Philippe, Oliver Hart, and John Moore. " The Economics of Bankruptcy Reform, Journal of Law, Economics, and Organization 8(1992 523-546 Hart, Oliver. Firms, Contracts, and Financial Structure(Clarendon Lec tures in Economics ). Oxford: Oxford University Press(1995)
9.2. THE AHM-BEBCHUK PROCEDURE 3 • The most senior class (class 1) is allocated 100% of firm’s equity (a creditor owed d1 receives a fraction d1/D1 of shares). The firm has the right to redeem the claim at a price of D1. • The next most senior class (class 2), is given the option to buy equity at a price of P2 = D1; however, the firm can redeem this claim at a price of D2. • Class P i investors (3 ≤ i ≤ n) have the option to buy equity at Pi = j<i Dj , but the firm can redeem the claim at Di. • Shareholders (i = n + 1) can buy equity at a price of Pn+1 = Pn i=1 Di. • After the options have been exercised, there is a vote by the new equity holders on which of the cash and non-cash bids to accept. Suppose that various bids have been received but that different classes of creditors believe the bids are worth different amounts (recall that there are non-cash bids). Let class i’s valuation of the best bid be Vi. How will the Bebchuk scheme work? Class i > 1 will want to buy equity if Vi > Pi. What if this is true for more than one class? Presumably the firm’s right to redeem the claim takes precedence over the right to buy and the most junior creditor for whom Vi > Pi gets to buy the equity. However, this may not be the creditor for whom the value of the firm is the highest. But perhaps one gets closer than by other methods. Aghion, Hart, and Moore (1992) claim that this procedure solves the financing problem by allowing non-cash bids. It does not deal directly with the lack-of-competition problem, but they say that allowing non-cash bids is likely to mitigate it. It replaces structured bargaining by a simple vote. Unlike automatic financial restructuring, which leaves incumbent management in place, incumbent management remains only if there is an explicit vote by shareholders to retain them. References: Aghion, Philippe, Oliver Hart, and John Moore. “The Economics of Bankruptcy Reform,” Journal of Law, Economics, and Organization 8 (1992) 523-546. Hart, Oliver. Firms, Contracts, and Financial Structure (Clarendon Lectures in Economics). Oxford: Oxford University Press (1995)
CHAPTER 9. BANKRUPTCY PROCEDURES Bebchuk, Lucian. "A New Approach to Corporate reorganizations Harvard Law Review 101(1988)775-804 9.3 An equilibrium model of bankruptcy Suppose there is a single bid for the firm consisting of>0 units of cash and the equity in the re-organized firm. If the bid is all cash then the distribution problem is trivial, so there is no loss of generality in assuming that the amount of equity is positive. Without loss of generality we can normalize the number of shares to equal one There are n classes of debt(i=1, ..., n) arranged in decreasing order of seniority. The face value of the i-th class of debt is denoted by Di>0. The quity in the original firm is the(n+1)-th class security. There is assumed to be one share in the original firm There is a(non-atomic) continuum of agents A=0, 1 endowed with Lebesgue measure. The assumption that agents form a non-atomic contin- uum implies that an individual has no"market power". Each agent a has w(a) units of cash, di (a) units of the i-th class of debt, and dn+1(a) units of equity. Let d(a=(d1(a),., dn+1(a)) represent the portfolio of agent a Each agent has a linear utility function for cash and equity. If agent a holds a units of cash and e units of equity his utility is +v(ae. In other words, v(a) is the monetary value agent a places on one unit of equity in the re-organized firn We assume that the functions v(),()and d() are Lebesgue integrable 9.3.1 Competitive equilibrium An allocation is a measurable function f: A-R+XR+, where f(a)=(a, e) is the portfolio of cash and equity allocated to agent a. An allocation f is attainable if f(a)da=(W+C,1), where W=Jw(a)da is the aggregate initial endowment of cash Let v be the equilibrium value of the equity. The equilibrium price of
4 CHAPTER 9. BANKRUPTCY PROCEDURES Bebchuk, Lucian. “A New Approach to Corporate Reorganizations,” Harvard Law Review 101 (1988) 775-804. 9.3 An equilibrium model of bankruptcy Suppose there is a single bid for the firm consisting of C ≥ 0 units of cash and the equity in the re-organized firm. If the bid is all cash then the distribution problem is trivial, so there is no loss of generality in assuming that the amount of equity is positive. Without loss of generality we can normalize the number of shares to equal one. There are n classes of debt (i = 1, ..., n) arranged in decreasing order of seniority. The face value of the i-th class of debt is denoted by Di > 0. The equity in the original firm is the (n + 1)-th class security. There is assumed to be one share in the original firm. There is a (non-atomic) continuum of agents A = [0, 1] endowed with Lebesgue measure. The assumption that agents form a non-atomic continuum implies that an individual has no “market power”. Each agent a has w(a) units of cash, di(a) units of the i-th class of debt, and dn+1(a) units of equity. Let d(a) ≡ (d1(a), ..., dn+1(a)) represent the portfolio of agent a. Each agent has a linear utility function for cash and equity. If agent a holds x units of cash and e units of equity his utility is x + v(a)e. In other words, v(a) is the monetary value agent a places on one unit of equity in the re-organized firm. We assume that the functions v(·), w(·) and d(·) are Lebesgue integrable. 9.3.1 Competitive equilibrium An allocation is a measurable function f : A → R+×R+, where f(a)=(x, e) is the portfolio of cash and equity allocated to agent a. An allocation f is attainable if Z f(a)da = (W + C, 1), where W = R w(a)da is the aggregate initial endowment of cash. Let V be the equilibrium value of the equity. The equilibrium price of
9.3. AN EQUILIBRIUM MODEL OF BANKRUPTCY the class i security is denoted by Pi >0 and defined by minV+C Pj D.D (9.1) Pn+1 ∑p (9.2) Let p=(Pi, . ,Pn+1) denote the vector of equilibrium security prices. A competitive equilibrium consists of the market value of the firm V, a vecto of security prices p 0 satisfying( 9. 1)and(9. 2), and an attainable allocation f such that for almost every agent a E A, f(a) maximizes r +v(ae subject to the budget constraint Ve+x≤(a)+p:d(a) and the non-negativity constraint(,e)20 An attainable allocation f is Pareto-efficient if there does not exist an attain able allocation f such that f(a)is weakly preferred to f(a) for almost every a and f'(a)is strictly preferred to f(a) for a non-negligible set of agents Theorem 1 If(, V, p)is a competitive equilibrium then f is Pareto-efficien This is just the first theorem of welfare economics, of course. The non- tandard part is the definition of security prices to allocate the value of the firm among the different creditors. These prices do not play any role in clear ing markets; they merely serve to allocate the value of the firm according to the seniority of different classes of debt and equity. An important observation is that any price vector p is consistent with efficiency. In other words, the fact that debt claims can be used to purchase the firm increases the market value of the firm v but does not affect the efficiency of the outcome 9.3.2 Lex-efficiency An attainable allocation f respects limited liability if f(a) is weakly preferred to(w(a), 0) for almost every agent a
9.3. AN EQUILIBRIUM MODEL OF BANKRUPTCY 5 the class i security is denoted by pi ≥ 0 and defined by pi = minn V + C − P j<i pjDj , Di o Di , i = 1, ..., n, (9.1) pn+1 = V + C −Xn j=1 pjDj . (9.2) Let p = (p1, ..., pn+1) denote the vector of equilibrium security prices. A competitive equilibrium consists of the market value of the firm V , a vector of security prices p ≥ 0 satisfying (9.1) and (9.2), and an attainable allocation f such that, for almost every agent a ∈ A, f(a) maximizes x + v(a)e subject to the budget constraint V e + x ≤ w(a) + p · d(a) and the non-negativity constraint (x, e) ≥ 0. An attainable allocation f is Pareto-efficient if there does not exist an attainable allocation f0 such that f0 (a) is weakly preferred to f(a) for almost every a and f0 (a) is strictly preferred to f(a) for a non-negligible set of agents. Theorem 1 If (f,V,p) is a competitive equilibrium then f is Pareto-efficient. This is just the first theorem of welfare economics, of course. The nonstandard part is the definition of security prices to allocate the value of the firm among the different creditors. These prices do not play any role in clearing markets; they merely serve to allocate the value of the firm according to the seniority of different classes of debt and equity. An important observation is that any price vector p is consistent with efficiency. In other words, the fact that debt claims can be used to purchase the firm increases the market value of the firm V but does not affect the efficiency of the outcome. 9.3.2 Lex-efficiency An attainable allocation f respects limited liability if f(a) is weakly preferred to (w(a), 0) for almost every agent a