TWO DCF APPROACHES FOR VALUING COMPANIES UNDER ALTERNATIVE FINANCING STRATEGIES (AND HOW TO CHOOSE BETWEEN THEM)

This is the sequel to the authors' 1989 article discussing the two basic discounted cash flow approaches for valuing debt-financed transactions and corporations: weighted average cost of capital (WACC) and adjusted present value (APV). The WACC method discounts all after-tax (but pre-interest) cash flows at the company's weighted average cost of capital. The APV method treats the value of a levered firm as the value of the same firm if financed entirely with equity plus the discounted value of the interest tax shields from the debt its assets will support. The authors argue that the WACC approach is more practical if the firm intends to hold its (market) leverage ratio relatively constant over time, but that the APV technique is the preferred method if the firm plans to reduce its leverage ratio according to a pre-determined schedule (as tends to be the case in highly leveraged transactions).     

Valuation of the Debt Tax Shield

In this study, we use cross–sectional regressions to estimate the value of the debt tax shield. Recognizing that debt is correlated with the value of operations along nontax dimensions, we estimate reverse regressions in which we regress future profitability on firm value and debt rather than regressing firm value on debt and profitability. Reversing the regressions mitigates bias and facilitates the use of market information to control for differences in risk and expected growth. Our estimated value for the debt tax shield is approximately 40 percent (10 percent) of debt balances (firm value), net of the personal tax disadvantage of debt.     

Incorporating Competition into the APV Technique for Valuing Leveraged Transactions

According to a recent survey, the discounted cash flow approach is the valuation technique most widely used by companies evaluating acquisition targets. But because the DCF approach is inappropriate when the capital structure is changing during the forecast period, many analysts turn to the adjusted present value (APV) approach, which can easily accommodate a changing capital structure. Still, the finance literature has not shown how to incorporate assumptions about the effect of competition in the post-forecast period into an APV analysis.
This paper provides two new tools for calculating horizon values with changing leverage and competition. First, it provides a new model, based on more realistic assumptions, for valuing a growing annuity of free cash flows when ROIC is expected to decline due to competition. Second, it provides a model for valuing tax shields that correctly incorporates the impact of competition in the post-forecast period. When used together with the APV approach, these two new tools allow an analyst to estimate the value of a company with a changing capital structure that faces competition in the post-forecast period.     

Adapting the APV valuation methodology and the beta gearing formula to the dividend imputation tax system

This paper adapts the APV valuation methodology and the formula for gearing beta to the Australian dividend imputation tax system. The APV formulation is shown to be able to be applied in the dividend imputation tax system by simply replacing the statutory tax rate with an effective tax rate in the calculation of the “cash flows”. The effect of the dividend imputation tax system on a company's value is shown to be easily bounded using the APV formulation by making the extreme assumption that imputation credits are either: fully distributed and fully valued by the market; or that they are worthless. This paper also quantifies the effect of changing the assumed value of imputation credits on: (i) the value of the interest tax shield of debt; and (ii) the levered, or equity, beta.     

Determinants of corporate borrowing: A note

In his article Determinants of Corporate Borrowing, Myers (1977) says that it is not guaranteed that the maximum value of the firm is reached before the maximum value of the debt is utilized in the case in which the interest payment is fully tax deductible, but the tax shield is lost if the firm goes bankrupt. I have shown here that even in such a case the maximum value of the firm will always be achieved before the maximum available debt is utilized.     

ESTIMATING THE TAX BENEFITS OF DEBT

The standard approach to valuing interest tax shields assumes that full tax benefits are realized on every dollar of interest deduction in every scenario. The approach presented in this paper takes account of the possibility that interest tax shields cannot be used in some scenarios, in part because of variations in the firm's profitability. Because of the dynamic nature of the tax code (e.g., tax-loss carrybacks and carryforwards), it is necessary to consider past and future taxable income when estimating today's effective marginal tax rate. The paper uses a series of numerical examples to show that (1) the incremental value of an extra dollar of interest deduction is equal to the marginal tax rate appropriate for that dollar ; and (2) a firm's effective marginal tax rate (and therefore the marginal benefit of incremental interest deductions) can actually decline as the firm takes on additional debt.
Based on marginal benefit functions for thousands of firms from 1980–1999, the author concludes that the tax benefits of debt averaged approximately 10% of firm value during the 1980s, while declining to around 8% in the 1990s. By taking maximum advantage of the interest tax shield, the average firm could have increased its value by approximately 15% over the 1980s and 1990s, suggesting that the consequences of being underlevered are significant. Surprisingly, many of the companies that appear best able to service debt (i.e., those with the lowest apparent costs of debt) use the least amount of debt, on average. Treasurers and CFOs should critically reevaluate their companies' debt policies and consider the benefits of additional leverage, even if taking on more debt causes their credit ratings to slip a notch.     

西部地区上市公司债务融资效应的实证研究——基于2007-2010年的经验数据

本文选取沪市西部地区53家上市公司作为研究样本,着重研究债务融资的税盾效应与财务杠杆效应。基于样本公司的债务融资现状,通过因子分析、主成分分析与多元回归分析揭示了债务融资效应与各影响因素之间的关联程度及显著水平。结论表明,当总资产息税前利润率大于债务利息率时,提高资产负债率,税盾效应、财务杠杆效应同时增大,进而增强债务融资效应;当总资产息税前利润率小于债务利息率时,提高资产负债率,税盾效应增大,财务杠杆表现为负效应,债务融资效应呈现不确定性。     

How Big Are the Tax Benefits of Debt?

I integrate under firm-specific benefit functions to estimate that the capitalized tax benefit of debt equals 9.7 percent of firm value (or as low as 4.3 percent, net of personal taxes). The typical firm could double tax benefits by issuing debt until the marginal tax benefit begins to decline. I infer how aggressively a firm uses debt by observing the shape of its tax benefit function. Paradoxically, large, liquid, profitable firms with low expected distress costs use debt conservatively. Product market factors, growth options, low asset collateral, and planning for future expenditures lead to conservative debt usage. Conservative debt policy is persistent.     

Interest Tax Shields: A Barrier Options Approach

There is a link between barrier options and tax shields of interest expense. We combine this link with a traditional valuation approach, to present practical valuation formulas for interest tax shields in three debt scenarios with risk of default: (1) constant debt, (2) delayed debt, and (3) debt refinancing. In all cases, default and refinancing are contingent on the random evolution of the income of the firm. For each scenario, we work out sensitivity analysis of the value of tax shields with respect to income, growth, systematic and business risk, risk-free interest rate, interest coverage ratio covenant, and the firm??s refinancing strategy.     

Calculating The Cost of Capital of an Unlevered Firm For Use in Project Evaluation

The adjusted present value requires an estimate of the cost of equity of an unlevered firm. Traditional approaches for calculating this cost assume that firms maintain a constant market-value percentage of debt when in fact firms typically use a book-value percentage of debt. In this paper, we present an approach to correctly estimate the cost of equity of an unlevered firm whenever the firm fails to maintain a constant market-value-based leverage ratio. We also demonstrate that both the Modigliani and Miller (1963) and Miles and Ezzell (1980) approaches may yield substantial valuation errors when firms determine debt levels based on book-value percentages. In contrast our method makes no errors as long as managers know the marginal tax benefit of debt.     

The Determinants of Debt Maturity Structure: Evidence from France,Germany and the UK

We examine the determinants of the debt maturity structure of French, German and British firms. These countries represent different financial and legal traditions that may have implications on corporate debt maturity structure. Our model incorporates the factors representing three major theories (tax considerations, liquidity and signalling, and contracting costs) of debt maturity. It also controls for capital market conditions. The results confirm the applicability of most theories of debt maturity structure for the UK firms. However, the evidence from France and Germany are mixed. Overall the findings suggest that the debt maturity structure of a firm is determined by firm‐specific factors and the country's financial systems and institutional traditions in which it operates.     

Debt in industry equilibrium

This article shows (1) how entry and exit of firms in a competitiveindustry affect the valuation of securities and optimal capitalstructure, and (2) how, given a trade-off between tax advantagesand agency costs, a firm will optimally adjust its leveragelevel after it is set up. We derive simple pricing expressionsfor corporate debt in which the price elasticity of demand forindustry output plays a crucial role. When a firm optimallyadjusts its leverage over time, we show that total firm valuecomprises the value of discounted cash flows assuming fixedcapital structure, plus a continuum of options for marginalincreases in debt.     

Meta-analysis categorization of EU countries in the context of corporate income tax

The corporate income tax is a corporate tax which aggregates economic, political and social aspects. The paper focuses on identification, analysis and assessment of homogenous EU countries groups, which show the common characteristics in the field of corporate taxation based on the selected segmentation criteria. Within the statistical meta-analysis in this paper some several methodical approaches were used: variants of agglomerative hierarchical cluster analysis, k-means method and fuzzy c-means and also multidimensional scaling method are implemented and compared. The purpose of this research is, in the context of theoretical implication to provide a synthesis of knowledge and empirical evidence about selected determinants of corporate taxation, and to verify the applicability of the clustering methods when gaining knowledge in the field of taxation. In the context of practical implication is the main purpose of this research the categorization of European countries into economically meaningful clusters, based on their similarity in corporate taxation, and to assess the convergence of European countries in corporate taxation. Results of provided cluster analysis are five groups of multidimensional objects with distinctive characteristics: nominal and effective corporate tax rate, economic performance and the level of debt.     

Optimal capital structure under corporate and personal taxation

In this paper, a model of corporate leverage choice is formulated in which corporate and differential personal taxes exist and supply side adjustments by firms enter into the determination of equilibrium relative prices of debt and equity. The presence of corporate tax shield substitutes for debt such as accounting depreciation, depletion allowances, and investment tax credits is shown to imply a market equilibrium in which each firm has a unique interior optimum leverage decision (with or without leverage-related costs). The optimal leverage model yields a number of interesting predictions regarding cross-sectional and time-series properties of firms' capital structures. Extant evidence bearing on these predictions is examined.     

DEBT REFUNDING AND SHAREHOLDER WEALTH: THE PRICE EFFECTS OF DEBT-FOR-DEBT EXCHANGE OFFER ANNOUNCEMENTS

This study examines the impact of debt refunding on common stock prices for a sample of 48 exchange offers announced from 1970 through 1981. Exchange offer announcements do not have a significant impact on average common stock returns but appear to produce idiosyncratic share price effects. Refunding-induced price effects were unrelated to several exchange offer characteristics including tax shield increases, exchange offer premia, and transaction costs of refunding. Common stock excess returns were negatively related to reductions in debt service payments and relaxation of dividend payment constraints. Thus, the evidence is consistent with theories predicting that certain debt refundings generate negative information-signaling price effects.     

Financial Distress in the Great Depression

We use firm‐level data to study corporate performance during the Great Depression era for all industrial firms on the NYSE. Our goal is to identify the factors that contribute to business insolvency and valuation changes during the period 1928‐1938. We find that firms with more debt and lower bond ratings in 1928 became financially distressed more frequently during the Depression, consistent with the trade‐off theory of leverage and the information production role of credit rating agencies. We also document for the first time that firms responded to tax incentives to use debt during the Depression era but that the extra debt used in response to this tax‐driven “debt bias” did not contribute significantly to the occurrence of distress. Finally, we conduct an out‐of‐sample test during the recent 2008‐2009 Recession and find that higher leverage and lower bond ratings also increased the occurrence of financial distress during this period.     

On the analysis of a multi-threshold Markovian risk model

We consider a class of Markovian risk models perturbed by a multiple threshold dividend strategy in which the insurer collects premiums at rate c _i whenever the surplus level resides in the i-th surplus layer, i=1, 2, …,n+1 where n<∞. We derive the Laplace-Stieltjes transform (LST) of the distribution of the time to ruin as well as the discounted joint density of the surplus prior to ruin and the deficit at ruin. By interpreting that the insurer, whose gross premium rate is c, pays dividends continuously at rate d _i =c?c _i whenever the surplus level resides in the i-th surplus layer, we also derive the expected discounted value of total dividend payments made prior to ruin. Our results are obtained via a recursive approach which makes use of an existing connection, linking an insurer's surplus process to an embedded fluid flow process.     

On the value and determinants of the interest tax shields

We use a dynamic model of the firm to ascertain both the value and the determinants of the debt tax shields. For a representative U.S. firm, we find that the value of the interest tax shields represents less than 5 % of firm value, and it varies considerably across U.S. industries. Our results also show that this component of firm value behaves counter-cyclically over the business cycle. Finally, besides the interest rate on debt and the corporate income tax rate, we find that the curvature of the production function is one of the main determinants of the tax advantage of debt.     

家庭债务与居民消费：一个文献综述

近年来我国家庭杠杆率快速上升,家庭债务与居民消费关系引发热议,相关文献 反映出：（1）家庭适度负债能促进消费增长;（2）家庭杠杆率上升存在临界值;（3）快速加 杠杆是主要风险来源;（4）识别家庭债务异质性可以缓解信贷约束。目前我国家庭杠杆率依 然处于合理区间,但需重视快速加杠杆带来的风险隐患。为保持居民消费平稳增长,本文提出 从供给侧优化金融条件,从需求侧约束快速加杠杆行为,并发挥减税的收入调节作用等建议。     

Corporate taxes,capital structure,and valuation: Combining Modigliani/Miller and Miles/Ezzell

The valuation of a firm with discounted cash flow (DCF) approaches requires assumptions about the firm’s financing strategy. The approaches of Modigliani and Miller and Miles and Ezzell assume that either a passive debt management with predetermined debt levels or active debt management with capital structure targets is applied. Over the last decades, various extensions of these approaches have been developed to allow for a more realistic depiction of financial decision making. However, recent empirical analyses indicate that current theories still have limited power to explain large variances in capital structure across time. We provide an alternative explanation for the empirical observation by assuming that firms combine both capital structure targets and predetermined debt within future periods, and we show how to value a firm given such a partially active debt management. The approaches of Modigliani and Miller and Miles and Ezzell are embedded into a common valuation framework, with the familiar valuation formulas shown as special cases. In a simulation analysis, we illustrate that the textbook valuation formulas may produce considerable valuation errors if a firm applies a partially active debt management.