Valuation of companies and projects under differential personal taxation

This paper develops formulae for the valuation of companies and projects where there is both differential personal taxation of dividends and interest arising from dividend imputation, and differential taxation of interest and capital gains. The former has been addressed in the literature. This paper represents an extension to recognize both phenomena. It is also shown that valuation errors from ignoring these phenomena are all significant, with the errors from ignoring the interest/capital gains tax differential being at least as great as those from ignoring imputation. Thus, a valuation formula that allows for both phenomena is indicated.     

The value of tax shields IS equal to the present value of tax shields

Fernandez [2004b. The value of tax shields is not equal to the present value of tax shields. Journal of Financial Economics 73, 145–165] argues that the present value effect of the tax saving on debt cannot be calculated as simply the present value of the tax shields associated with interest. This contradicts standard results in the literature. It implies that, even though the capital market is complete, value-additivity is violated. As a consequence, adjusted present value formulae of a standard sort cannot be used. Also, Fernandez's argument implies that the value of the tax saving differs from conventional estimates by a considerable amount. We reconcile Fernandez's results with standard valuation formulae for the tax saving from debt. We show that, as one would expect, the value of the debt tax saving is the present value of the tax savings from interest. The apparent violation of value-additivity in the Fernandez paper comes from mixing the Miles and Ezzell and Miller and Modigliani leverage policies.     

Beta Geared and Ungeared: Further Analysis of the Case of Active Debt Management

This paper extends previous work by Appleyard and Strong (1989) concerned with the implications of an active debt management policy (ADMP) for de-gearing a geared firm's equity beta. First, alternative derivations of the ADMP beta de-gearing formulae for an MM perfect capital market with corporation tax and for a world with corporation and personal taxes are presented. These derivations do not require the assumption of level perpetuity expected cash flows and therefore indicate a broader basis for the ADMP beta de-gearing formulae than previously demonstrated. Secondly, possible investor valuation errors from use of a PDMP (passive debt management policy) valuation methodology to value firms pursuing an ADMP are analysed in the context of an MM perfect capital market with corporation tax. Given constant (or zero) growth in the firm's expected unlevered cash flows, this analysis indicates that degearing errors from use of the PDMP beta de-gearing formula will only be associated with valuation errors if there is a change in the firm's target debt ratio and that the significance of such valuation errors will be largely dependent on the expected growth rate.     

The Impact of Taxes on Discount Bond Valuation and Risk

If the effective tax rates on ordinary income and capital gains are identical, the assumption of independence or dependence between ordinary income and capital gains tax rates is shown to have no impact on discount bond valuation or risk. However, even if the effective tax rates are identical, the shape and the sensitivity of the bond valuation and risk functions with respect to taxes are not identical under the alternative assumptions. A mathematical and numerical analysis of the sensitivity of changes in the discount bond valuation and risk functions with respect to income tax rates is provided. Comparisons between the sensitivities of changes in the discount bond valuation and risk functions and taxes under conditions of dependence or independence between ordinary income and capital gains tax rates are made.     

Cost of capital and valuation in the public and private sectors: Tax,risk and debt capacity

Cost of capital and valuation differ in the private and public sectors, because taxes are a cost to the private sector but are only a transfer to the public sector. We show how to transform the after-tax private sector cost of capital into its pre-tax equivalent, for comparison with the public sector cost of capital. We establish the existence of a tax induced wedge between these two costs of capital. The wedge introduces a preference on the part of the private sector for assets with rapid tax depreciation, high debt capacity and low risk. We show that, in circumstances where an asset has identical public and private sector valuation in the absence of taxes, the tax induced difference in valuation is identical to the change in government tax receipts that results from having the asset owned by the private rather than the public sector. We provide some examples of distortions that result from failure to adjust for changes in tax revenues, and show how to effect such adjustment.     

Capital Project Analysis When Cash Flows Evolve as a Continuous Time Branching Process

Optimal capital budgeting criteria now exist for a variety of applications when project cash flows (or present values) evolve in terms of the well-known geometric Brownian motion. However, relatively little is known about the capital budgeting procedures that ought to be implemented when cash flows are generated by stochastic processes other than the geometric Brownian motion. Given this, our purpose here is to develop optimal investment criteria for capital projects with cash flows that evolve in terms of a continuous time branching process. Branching processes are compatible with an empirical phenomenon known as 'volatility smile'. This occurs when there are systematic fluctuations in the implied volatility of a capital project's cash flows as the cash flow grows in magnitude. A number of studies have shown that this phenomenon characterizes the cash flow streams of the capital projects in which firms typically invest. We implement optimal capital budgeting procedures for both the continuous time branching process and the geometric Brownian motion using cost and revenue data for the Stuart oil shale project in central Queensland, Australia. This example shows that significant differences can arise between the optimal investment criteria for cash flows based on a branching process and those based on the geometric Brownian motion. This underscores the need for the geometric Brownian motion broadly to reflect the way a given capital project's cash flows actually evolve if serious errors in valuation and/or capital budgeting decisions are to be avoided.     

THE ANALYTICS OF TAX EFFECTS IN DISCOUNT BOND VALUATION

This paper discusses the analytics of tax effects in discount bond valuation. The author illustrates that bond value is a simple linear function of the tax rate on interest income, whereas bond value is concave to the capital gains tax rate. The author also analyzes how changes in tax rates interact with yield changes to affect bond valuation and how tax rates interact with maturity to determine the depth of bond discount.     

The Contributions of Stewart Myers to the Theory and Practice of Corporate Finance*

In a 40‐plus year career notable for path‐breaking work on capital structure and innovations in capital budgeting and valuation, MIT finance professor Stewart Myers has had a remarkable influence on both the theory and practice of corporate finance. In this article, two of his former students, a colleague, and a co‐author offer a brief survey of Professor Myers's accomplishments, along with an assessment of their relevance for the current financial environment. These contributions are seen as falling into three main categories:

• ? Work on “debt overhang” and the financial “pecking order” that not only provided plausible explanations for much corporate financing behavior, but can also be used to shed light on recent developments, including the reluctance of highly leveraged U.S. financial institutions to raise equity and the recent “mandatory” infusions of capital by the U.S. Treasury.
• ? Contributions to capital budgeting that complement and reinforce his research on capital structure. By providing a simple and intuitive way to capture the tax benefits of debt when capital structure changes over time, his adjusted present value (or APV) approach has not only become the standard in LBO and venture capital firms, but accomplishes in practice what theorists like M&M had urged finance practitioners to do some 30 years earlier: separate the real operating profitability of a company or project from the “second‐order” effects of financing. And his real options valuation method, by recognizing the “option‐like” character of many corporate assets, has provided not only a new way of valuing “growth” assets, but a method and, indeed, a language for bringing together the disciplines of corporate strategy and finance.
• ? Starting with work on estimating fair rates of return for public utilities, he has gone on to develop a cost‐of‐capital and capital allocation framework for insurance companies, as well as a persuasive explanation for why the rate‐setting process for railroads in the U.S. and U.K. has created problems for those industries.

     

The valuation of projects under the dividend imputation tax system

This paper proves that a modified weighted average cost of capital (“WACC”) valuation methodology is a rigorous and practicable method of valuing projects and companies under the Australian dividend imputation tax system. This methodology uses an effective tax rate in calculating both the discount rate and the ungeared after tax cash flow. A cash flow after effective corporate tax is shown to be equivalent to a cash plus value of imputation credit stream. Importantly, this valuation methodology is applicable to returns that are non-uniform and of finite duration. Also examined is the discounting of equity returns at the company's cost of equity capital. A worked example is presented to clarify and quantify the effects discussed.     

Cost of capital equations under the Australian imputation tax system

Since the introduction of the Australian imputation tax system, there have been problems both in the measurement of the market value of franking (imputation tax) credits and in their application to estimating cash flows and the cost of capital. In the present paper, we provide a convenient and robust resolution to the above problems in the context of an internally consistent set of equations for the cost of capital, asset valuation and the capital asset pricing model (CAPM). The equations apply under both classical and imputation tax systems and under differential taxation of dividends, capital gains and interest. The simple form of the CAPM presented here is shown to encompass more complex versions of the CAPM, which attempt to accommodate the effect of personal taxes. The valuation equations require an estimate of the market value of $1 of the firm's dividends, within which is embedded the market value of the imputation tax credits. Separate estimates of the value of imputation tax credits, or Officer's gamma factor, are not required.     

The evolution of the application of capital budgeting techniques in enterprises

This study examines the evolution of the application of capital budgeting techniques. Previous studies mostly used cross-sectional inquiries to understand the capital budgeting practices of firms. Only a few researchers have undertaken longitudinal studies to generalise the findings of the individual cross-sectional studies to the wider population and to identify the emerging trends in the use of capital budgeting techniques (CBTs). This longitudinal study surveys 83 studies of capital budgeting practices across firms in India, South Africa, the United Kingdom (UK) and the United States of America (USA) for the period from 1966 to 2016. The findings show that six capital budgeting techniques, namely, the net present value (NPV), the internal rate of return (IRR), the payback period (PBP), the accounting rate of return (ARR), the return on investment (ROI) and the real option valuation (ROV), are the most popular methods for evaluating capital investments. Of these techniques, the ROV is the least used, and a general lack of familiarity with this technique and its complexity are the most commonly cited reasons for not using it. Another method that is used less than the first four techniques is the ROI. However, this technique is of growing significance and is mainly used in the UK, followed by the USA, South Africa, and India. Firms in the USA and UK have increased their use of the IRR as a primary method for evaluating capital projects and have retained the PBP as an ancillary technique to strengthen the available information when evaluating capital projects. Firms in India and South Africa are increasingly excluding both the PBP and ARR methods and are increasingly using the NPV when evaluating capital investments. Although this development is in line with the theory, it limits the scope of the available information when evaluating capital projects.     

BETAS AND DEBT MANAGEMENT WITHIN THE UK TAX ENVIRONMENT

Tax complexities relating to corporate tax losses, induced by debt finance, and to the differential tax treatment of equity and sterling debt, are introduced into corporate valuation. The after personal tax value of the geared firm can be less than that of the equivalent ungeared firm. Also, debt-induced tax losses can create negative betas. These fiscal effects are incorporated into degearing formulae under active and passive debt management policies.     

Share Valuation under Geometric Brownian Motion with a Poisson Imputation Tax Change

A share valuation model is developed on the basis of dividends following a geometric Brownian motion. An imputation tax system is chosen, although this can be collapsed into a classical system. The possibility of changes in tax rates and shareholder tax credits is introduced by means of a Poisson jump. Capital gains are assumed to be tax-free through either annual or other exemptions. Using Itô's Lemma, a new share valuation formula is derived. This is recast in terms of the cost of capital and the mean time to the fiscal shock.     

Personal Taxation in Firm Market Valuation: Theory and Test*

In this paper, I extend Ohlson's 1995 firm market valuation model to incorporate personal taxes: the taxes on dividends and the taxes on capital gains. Without personal taxes, firm market value can be expressed as the present value of future benefits received by the shareholders (dividends, in this case). With personal taxes, the benefits received by the shareholders should be classified into three categories (due to their different tax treatments): dividends, share repurchases, and new share issues (i.e., contributed capital). The extended model shows the effects of personal taxation on firm market valuation: retained earnings are valued less than contributed stocks, both dividends taxes and capital gains taxes affect retained earnings valuation and firm market value, and firms choose cash distribution methods (paying dividends and repurchasing shares) to increase their retained earnings valuation, therefore increasing their market value. An empirical test using a sample from the Disclosure Select Canada and Financial Post Card data bases for the years 1995‐98 supports these personal tax effects.     

Net working capital investment and capital budgeting analysis: Some pedagogical insights

Net working capital (NWC) investment, as a factor in discounted cash flow (DCF) analysis, receives little attention in the capital budgeting literature and accounting textbooks. The purpose of this paper is to explore the ways in which this important component of the analysis can be intregrated into the classroom and thus add to the student's overall understanding of capital budgeting. Four areas are discussed: (1) the significance of NWC investment in capital budgeting analysis, (2) the opportunity cost nature of the NWC investment, (3)measurement of the components of the NWC investment, and (4) use of the NWC investment to help restore the bottom line in DCF analysis to a pure cash flow basis. Integration of the fourth point into the topic of capital budgeting is found to be a convenient way to reinforce the student's understanding of the statement of cash flows.     

The Effect of Taxes on the Relative Valuation of Dividends and Capital Gains: Evidence from Dual-Class British Investment Trusts

We provide evidence that taxes affect equity valuation by studying British investment trusts having otherwise identical classes of cash- and stock-dividend-paying shares outstanding. We study 1969–1982, a period in which there were two dramatic changes in tax policy. We find that stock-dividend shares, which are convertible into cash-dividend shares, sell at premiums when the tax system favors capital gains and at discounts when the tax advantage of capital gains is reduced. After the 1975 elimination of the tax advantage to stock-dividend shares, we observe that investors convert virtually all stock-dividend shares into cash-dividend shares.     

Optimal tax depreciation

Currently, solutions to the choice of depreciation methods for tax purposes are obtained through numerical simulation. This paper presents a simple capital budgeting technique which, in conjunction with Descartes' rule of signs, analytically derives the optimal regular depreciation method under the existing U.S. tax code. This technique is then used to determine the optimal depreciable life for short-lived assets and, finally, the analysis is extented to cover the choice of depreciation methods under the Class Life Asset Depreciation Range System.     

Capital Allocation and Risk Performance Measurement In a Financial Institution

This paper provides an analytical and practical framework, consistent with maximizing the wealth of existing shareholders, to address the following questions: What are the costs associated with economic capital? What is the tradeoff between the probability of default and the costs of economic capital? How do we take into account the time profile of economic capital when assessing the performance of a business? What is the appropriate measure of profitability, keeping the probability of default constant? It is shown that the capital budgeting decision depends not only on the covariance of the return of a project with the market portfolio, but also on the covariance with the bank's existing assets. This dependency arises from the simple fact that the economic capital is not additive.     

Valuation implications of socially responsible tax avoidance: Evidence from the electricity industry

Prior literature suggests that firms may bear reputational costs associated with corporate tax avoidance, which could in turn reduce the net present value of firms’ tax planning strategies. However, these studies do not consider the fact that firms may have opportunities to avoid tax in socially responsible ways. We investigate the equity valuation implications of one form of socially responsible tax avoidance: claiming the renewable electricity production tax credit (PTC). We predict and find that investors more positively value tax savings generated from PTCs compared to other forms of corporate tax avoidance, consistent with the notion that socially responsible tax avoidance should not subject firms to reputational costs. Additionally, consistent with the role that CSR can play in enhancing a firm’s reputational capital, we find evidence of a spillover effect in which investors more positively value other sources of tax avoidance to the extent the firm also reduces its taxes in a socially responsible way. Our results demonstrate the importance for managers to consider socially responsible tax avoidance as a component of a firm’s tax planning portfolio and for policymakers to recognize the appeal of socially responsible tax strategies as the reputational consequences of tax avoidance become more prominent.     

New Evidence That Taxes Affect the Valuation of Dividends

This paper uses British data to examine the effects of dividend taxes on investors' relative valuation of dividends and capital gains. British data offer great potential to illuminate the dividends and taxes question, since there have been two radical changes and several minor reforms in British dividend tax policy during the last 30 years. Studying the relationship between dividends and stock price movements during different tax regimes offers an ideal controlled experiment for assessing the effects of taxes on investors' valuation of dividends. Using daily data on a small sample of firms, and monthly data on a much broader sample, we find clear evidence that taxes affect the equilibrium relationship between dividend yields and market returns. These findings suggest that taxes are important determinants of security market equilibrium and deepen the puzzle of why firms pay dividends.