Optimal capital structure: A multi-period programming model for use in financial planning

This paper describes a multi-period, chance constrained mathematical programming model to compute for each period, the firm's optimal debt to equity ratio and the optimal maturity distribution of its debt. The model assumes that the firm's objective is to maximize total value of the firm, and that the firm operates in a world of uncertainty, with corporate income taxes and bankruptcy costs. Finally, the actual coupon rate paid by the firm which is commensurate to the risk of default is endogenously determined by the model.     

Corporate liquidity and dividend policy under uncertainty

We examine optimal liquidity (retained earnings) and dividend choice incorporating debt financing with risk of default and bankruptcy costs as well as growth options under revenue uncertainty. We revisit the conditions for dividend policy irrelevancy and the broader role of retained earnings and dividends. Retained earnings have a net positive impact on firm value in the presence of growth options, high external financing costs and low default risk. High levels of retained earnings enhance debt capacity but have a negative effect on equity value due to the likelihood of losing accumulated cash balances in case of default, unless offset by high external financing costs. Opposite directional effects of retained earnings on equity and debt create a U-shaped relation with firm value. The framework is extended to analyze management-shareholder conflicts, demonstrating that managers accumulate higher than optimal cash.     

Corporate liquidity and dividend policy under uncertainty

We examine optimal liquidity (retained earnings) and dividend choice incorporating debt financing with risk of default and bankruptcy costs as well as growth options under revenue uncertainty. We revisit the conditions for dividend policy irrelevancy and the broader role of retained earnings and dividends. Retained earnings have a net positive impact on firm value in the presence of growth options, high external financing costs and low default risk. High levels of retained earnings enhance debt capacity but have a negative effect on equity value due to the likelihood of losing accumulated cash balances in case of default, unless offset by high external financing costs. Opposite directional effects of retained earnings on equity and debt create a U-shaped relation with firm value. The framework is extended to analyze management-shareholder conflicts, demonstrating that managers accumulate higher than optimal cash.     

The cost of capital and optimal financing policy in a dynamic setting

This paper revisits the Modigliani–Miller propositions on the optimal financing policy and cost of capital in a dynamic setting. In an environment without taxes and bankruptcy costs, the results are generally consistent with the Modigliani–Miller Propositions 1 and 2. However, the first proposition should be presented and interpreted more carefully, as given firm characteristics, there is only one optimal capital structure. Thus, a firm’s capital structure is relevant. A relaxation of assumptions about either taxes or bankruptcy costs leads to conclusions that are generally different from those in Modigliani and Miller (1958). The model predicts that leverage and sales-to-capital ratios decrease but firm size and capital stock increase with the subjective discount factor of the firm’s manager if there are taxes and bankruptcy costs. The empirical analysis supports these predictions.     

Dynamic capital structure with callable debt and debt renegotiations

We consider a dynamic trade-off model of a firm's capital structure with debt renegotiation. Debt holders only accept restructuring offers from equity holders backed by threats which are in the equity holders' own interest to execute. Our model shows that in a complete information model in which taxes and bankruptcy costs are the only frictions, violations of the absolute priority rule (APR) are typically optimal. The size of the bankruptcy costs and the equity holders' bargaining power affect the size of APR violations, but they have only a minor impact on the choice of capital structure.     

The Debt Trap: Wealth Transfers and Debt‐Equity Choices of Junk‐Grade Firms

If outstanding debt is risky, issuing equity transfers wealth from equity holders to debt holders. If existing leverage is high and bankruptcy costs are small, this wealth transfer effect outweighs the gains to stockholders from optimizing firm value. Empirically, we find that for investment‐grade firms, higher leverage implies a greater likelihood of issuing equity, as expected in a standard tradeoff model. However, consistent with the impact of wealth transfer effects, for junk‐grade firms, higher leverage implies a greater likelihood of issuing debt. The analysis implies an additional route through which historical shocks determine firms’ financing choices.     

Variable Rate Debt Instruments and Corporate Debt Policy

Sustained high rate of inflation has led to the creation of debt instruments with variable interest rate. The availability of these debt instruments presents management with the problem of the choice of the optimal debt portfolio. This paper deals with this problem assuming a given, and optimal, debt to equity ratio. Given expected monetary value maximization, an efficient frontier is derived in terms of the expected net income and probability of bankruptcy, where net income is defined as operating income minus debt repayment. This efficient frontier is shown to be also mean-variance efficient. It is also shown that in most cases the optimal debt portfolio includes more than one debt instrument. In other words, the firm will avoid the policy of minimizing the expected cost of its debt repayments or the policy of minimizing the costs of bankruptcy. The optimal solution itself is affected by market variables like the relative expected cost of different debt instruments and by firm specific variables like the variability of its operating income stream, and the covariance between the operating income and the debt repayments.     

Dynamic capital structure and the contingent capital option

The financial crisis has emphasized the difficulties for financial companies to raise funds through conventional liabilities. In this environment, hybrid securities are becoming popular. In this paper we study the optimal capital structure of a company issuing a particular type of hybrid security: perpetual contingent capital, i.e., debt that converts into equity under some conditions. A two-period model with endogenous bankruptcy for a company with equity, straight debt and contingent capital is analyzed. We investigate the instrument under different conversion rules: automatic or optimally chosen by equity holders. We show that contingent capital reduces the coupon of straight debt and expected bankruptcy costs but can require a high spread. A trigger imposed by the regulatory authority in terms of par value of debt may induce a little use of contingent capital with an increase of bankruptcy costs.     

Valuation of the Firm's Liabilities When Equity Holders Are Also Creditors

Abstract:  This paper presents a tractable structural model whereby controlling equity holders are also among the creditors of the firm. As the firm approaches distress, equity holders can drain the assets of the firm and expropriate other creditors by repaying their credit before bankruptcy. The right of the bankruptcy court to revoke such repayment protects arm's length creditors, reduces the cost of borrowing and induces equity holders to anticipate repayment of their credit. Equity holders decide repayment neither too early nor too late, so as to reduce the risk of repayment revocation by the bankruptcy court. Similar conclusions apply to the preferential repayment of bank loans personally guaranteed by equity holders. The analysis also suggests that callable bearer bonds may be more valuable to equity holders than to other creditors.     

A Monitoring Role for Deviations from Absolute Priority in Bankruptcy Resolution

Firms that have successfully reorganized under Chapter 11 of the bankruptcy laws of the United States frequently award shares of common stock in the reorganized firm to pre‐bankruptcy shareholders, even though pre‐bankruptcy creditors' claims are not fully satisfied. Using a sample of large publicly traded firms, these deviations from absolute priority (DAPR) are found to be positively related to the severity of agency costs within a financially distressed firm. US bankruptcy laws may exacerbate these agency costs by granting exclusivity to management during the reorganization period. Firms in which outside shareholders are more concentrated have a lower occurrence of DAPR indicating that blockholders provide an effective monitoring mechanism for controlling managerial behavior during reorganization. On the other hand, firms without this monitoring mechanism have a higher probability of DAPR indicating that creditors attempt to control managerial behavior by providing them with some sort of financial compensation via their equity holding in the firm. Finally, the evidence indicates that DAPR can be used to mitigate the hold‐up problem resulting from voting rights granted to both junior and senior claimants of the firm by US bankruptcy laws.     

Bailouts,the incentive to manage risk,and financial crises

A firm's termination leads to bankruptcy costs. This may create an incentive for outside stakeholders or the firm's debtholders to bail out the firm as bankruptcy looms. Because of this implicit guarantee, firm shareholders have an incentive to increase volatility in order to exploit the implicit protection. However, if they increase volatility too much they may induce the guarantee-extending parties to “walk away.” I derive the optimal risk management rule in such a framework and show that it allows high volatility choices, while net worth is high. However, risk limits tighten abruptly when the firm's net worth declines below an endogenously determined threshold. Hence, the model reproduces the qualitative features of existing risk management rules, and can account for phenomena such as “flight to quality.”     

On the neutrality of debt in investment intensity

This paper examines the interaction between investment and financing decisions of a firm using a real options approach. The firm is endowed with a perpetual option to invest in a project at any time by incurring an irreversible investment cost at that instant. The amount of the irreversible investment cost is directly related to the intensity of investment that is endogenously chosen by the firm. At the investment instant, the firm can finance the project by issuing debt and equity, albeit subject to an exogenously given credit constraint that prohibits the firm’s debt-to-asset ratio from exceeding a prespecified threshold. The optimal capital structure of the firm is determined by the trade-off between interest tax-shield benefits and bankruptcy costs of debt. Irrespective of whether the exogenously given credit constraint is binding or not, we show that leverage has no impact on the firm’s optimal investment intensity, thereby rendering the neutrality of debt in investment intensity. Similar to earlier work, we show that debt is not neutral to investment timing in general, and the levered firm invests earlier than the unlevered firm in particular.     

The Effect of Bankruptcy Protection on Investment: Chapter 11 as a Screening Device

Asymmetric information and conflicts of interest between equity and debt holders can force a distressed but efficient firm to liquidate and may enable a distressed inefficient firm to continue. In the extreme, if it is costless for an inefficient firm to mimic an efficient firm in a debt restructuring, efficient and inefficient firms are equally likely to continue or liquidate. This article shows that Chapter 11 procedures impose costs on inefficient firms that would otherwise mimic efficient firms. This separation induces voluntary filing for bankruptcy by inefficient firms and consequently enables efficient firms to continue when they would otherwise be liquidated.     

Optimal Capital Structure,Endogenous Bankruptcy,and the Term Structure of Credit Spreads

This article examines the optimal capital structure of a firm that can choose both the amount and maturity of its debt. Bankruptcy is determined endogenously rather than by the imposition of a positive net worth condition or by a cash flow constraint. The results extend Leland's (1994a) closed-form results to a much richer class of possible debt structures and permit study of the optimal maturity of debt as well as the optimal amount of debt. The model predicts leverage, credit spreads, default rates, and writedowns, which accord quite closely with historical averages. While short term debt does not exploit tax benefits as completely as long term debt, it is more likely to provide incentive compatibility between debt holders and equity holders. Short term debt reduces or eliminates “asset substitution” agency costs. The tax advantage of debt must be balanced against bankruptcy and agency costs in determining the optimal maturity of the capital structure. The model predicts differently shaped term structures of credit spreads for different levels of risk. These term structures are similar to those found empirically by Sarig and Warga (1989). Our results have important implications for bond portfolio management. In general, Macaulay duration dramatically overstates true duration of risky debt, which may be negative for “junk” bonds. Furthermore, the “convexity” of bond prices can become “concavity.”     

THE SECURITY PRICE EFFECTS OF PUBLIC DEBT DEFAULTS

A debt default requires a restructuring that may take place in or out of court. By examining security returns around a sample of public debt defaults, only some of which end in bankruptcy, I provide new evidence on the costs and benefits of bankruptcy compared with workouts. Evidence from security returns implies that bankruptcy is more costly than a workout, but that the cost differential is reduced for firms with large net operating loss carryforwards. The evidence is also consistent with the argument that equity has greater option value in a workout relative to bankruptcy.     

Optimal taxation in the presence of bailouts

The termination of a representative financial firm due to excessive leverage may lead to substantial bankruptcy costs. A government in the tradition of Ramsey (1927) may be inclined to provide transfers to the firm so as to prevent its liquidation and the associated deadweight costs. It is shown that the optimal taxation policy to finance such transfers exhibits procyclicality and history dependence, even in a complete market. These results are in contrast with pre-existing literature on optimal fiscal policy, and are driven by the endogeneity of the transfer payments that are required to salvage the financial firm.     

Inside debt renegotiation: Optimal debt reduction,timing, and the number of rounds

This paper develops a model of debt renegotiation in a structural framework that accounts for taxes, bankruptcy costs and renegotiation costs. To our knowledge, all the previous work on debt renegotiation implies an infinite number of renegotiations. This feature preempts the analysis of the optimal number of renegotiations. We address this drawback by incorporating fixed renegotiation costs in a model of multiple renegotiations, hence obtaining a small finite number of renegotiations. Simple analytical formulae are derived for debt and equity, as well as implicit formulae for the coupon reduction, as a result of a backward recursive technique. The results show that the optimal number of renegotiations, the size and the dynamics of the coupon reductions depend critically on the bargaining power of the claimants. Testable empirical implications regarding multiple costly renegotiations are drawn.     

Emerging from Chapter 11 Bankruptcy: Is It Good News or Bad News for Industry Competitors?

A firm under Chapter 11 bankruptcy protection may emerge from bankruptcy in a more advantageous competitive position within its industry to the detriment of their industry rivals. Using a sample of 264 firms that emerged from Chapter 11 bankruptcy during the period 1999-2006, I find that its industry competitors demonstrate negative postemergence long-term equity returns and deteriorating financial performance. Additional tests indicate that this outcome is less likely due to overall industry distress. Competitors tend to be more adversely affected if they are in more concentrated industries, if they have lower credit quality, when a more efficient firm emerges, and when the duration of bankruptcy is longer. This study suggests a need to reconsider Chapter 11's role in promoting competition and allocation of resources given its negative externalities on industry competitors.     

How Costly Is External Financing? Evidence from a Structural Estimation

We apply simulated method of moments to a dynamic model to infer the magnitude of financing costs. The model features endogenous investment, distributions, leverage, and default. The corporation faces taxation, costly bankruptcy, and linear‐quadratic equity flotation costs. For large (small) firms, estimated marginal equity flotation costs start at 5.0% (10.7%) and bankruptcy costs equal to 8.4% (15.1%) of capital. Estimated financing frictions are higher for low‐dividend firms and those identified as constrained by the Cleary and Whited‐Wu indexes. In simulated data, many common proxies for financing constraints actually decrease when we increase financing cost parameters.     

Leverage changes and growth options in mergers and acquisitions

We develop and empirically test a trade-off model for the analysis of leverage changes in mergers and acquisitions. Our study extends prior findings of a post-merger increase in leverage for the acquiring firm, by linking this leverage increase to merging firms that are less correlated, create significantly larger growth options, and have lower bankruptcy costs and lower volatility. Specifically, we show that acquiring firms are more likely to finance diversifying acquisitions with debt as equity holders exploit the increased debt capacity with higher leverage resulting in total merger gains that are positively associated with financial synergies. We also provide evidence of a U-shaped relationship between growth options and leverage changes theoretically and empirically in the context of mergers.