An Analysis of the Burden of Corporation Tax upon Investment of Retained profits in Plant and Machinery

The burden of corporation tax in project appraisal is defined here to be the ratio of the net present value (NPV) of the tax cash flows to the pre-tax project NPV. This burden, under careful stated conditions, is shown to be a heperbolic function of the pre-tax profitability index. It may be well in excess of 100% for projects with marginal pre-tax profitability and it falls asymptotically with increasing pre-tax profitability to less than the nominal 35% rate of corporation tax. It falls more heavily upon long rather than short term projects, and the effects of inflation are capricions. These results are contrasted with the corresponding results for the fiscal arrangements which applied prior to the 1984 Finance Act.     

Implementing Fischer Black's Simple Discounting Rule

Corporate managers typically estimate the value of capital projects by discounting the project's expected future net cash flows at the cost of capital. The capital asset pricing model (CAPM) is generally used to estimate that cost. But, as anyone who has worked on the finance or business development staff of a public company can attest, there are major challenges in applying the CAPM, including largely unresolved questions about what constitutes the “market portfolio,” how to estimate market risk premiums, and how to estimate the betas of projects. In a short article published in Financial Management in 1988, Fischer Black proposed a valuation “discounting rule” that avoids all these problems—one that involves discounting a relatively certain (as opposed to an expected or average) level of operating cash flows at the risk-free rate. But Black's article does not address the question of how to calculate these “certainty equivalent” or “conditional” cash flows. In this article, the authors propose a way of implementing Black's rule that involves estimating the “conditional” cash flows in a three-step procedure:

• • Find a benchmark security that correlates with the project's cash flows;
• • Estimate the percentiles of the distribution in which the benchmark return equals the risk-free rate over different investment horizons;
• • Use information from corporate managers to assess the cash flows that define the same percentiles in the cash flow distributions.

As the authors point out, the virtue of Black's rule is that it shifts the focus of the analyst away from the assessment of discount factors and puts it squarely on the more challenging, and arguably more relevant, problem of estimating the project's cash flows.     

Evolution of the Application of Present Value to Valuation of Non-monetary Resources

The purpose of this paper is to report the outcome of research that sought to answer the question: what were the significant steps in the evolution of the application of present value to valuation of non-monetary resources? The research findings challenge the generally accepted legend that the application of discounting to economic problems involving non-monetary resources did not occur until the 19th century. The findings show that the application of discounting progressed from ‘pure-monetary’ resources, such as loans and annuities, to ‘semi-monetary’ resources, such as land, where there were contractually agreed cash inflows and non-contractual outflows, and finally to ‘non-monetary’ resources, where there were no contractually agreed cash flows. It is reported that in the aftermaths of the execution of Charles I and the Great Fire of London, property investment was facilitated by a heightened understanding of the calculation and use of discount tables. Another significant 17th-century stimulus was an ongoing discourse that sought to encourage landowners to establish and maintain plantations to satisfy the navy's timber needs. An important outcome of this nationwide discourse occurred in 1730, when an Exonian surveyor and accountant used present value to solve the valuation problems of standing timber under both sustained and intermittent management.     

Discounting Mean Reverting Cash Flows with the Capital Asset Pricing Model

Discounting cash flows requires an equilibrium model to determine the cost of capital. The CAPM of Sharpe and the intertemporal asset pricing model of Merton (1973) offer a theoretical justification for discounting at a constant risk adjusted rate. Two problems arise with this application. First, for mean reverting cash flows the risk adjustment is unknown, and second, if the present value is compounded forward then the distribution of future wealth is likely right skewed. I develop equilibrium discount rates for cash flows whose level or growth rate is mean reverting. Serial correlation also largely eliminates the skewness problem.     

Kritische Betrachtung marktorientierter Kapitalkostenbestimmung bei der Bewertung von Versicherungsunternehmen

Increasingly modern discounted cash flow approaches are used for valuing insurance companies. An essential feature of these approaches is the discounting of prospective cash flows with an interest rate deduced from capital markets. Due to its generality and objectivity such an interest rate is preferred. However this article demonstrates that operationalizing this interest rate is highly subjective, preventing the goal of objectivity from being achieved.     

Relative performance evaluation in board cash compensation: UK empirical evidence

This paper presents an empirical examination of whether evidence of the implicit use of relative performance evaluation (RPE) can be found in the cash compensation of boards of directors for 169 UK non-financial listed companies that existed for all of the period from 1971 to 1998. We perform two types of analyses. Initially, we estimate individual firm time series regressions of the change in board cash compensation against measures of firm and peer group performance. The measures of firm performance we use are annual cash stock market returns and pre-tax accounting earnings. Peer group measures of performance are industry value-weighted average cash stock market returns and industry value-weighted average pre-tax accounting earnings. Subsequently, we analyse the data as a balanced panel.We provide evidence that board cash compensation is positively related to accounting earnings and negatively associated with peer group pre-tax accounting earnings. Some evidence suggests that board cash compensation is related to firm stock market returns but none suggests it is related to peer group market returns. This result implies the presence of RPE based on accounting earnings in the design of UK board compensation, with the cash compensation of boards of directors implicitly (partially) protected from industry uncertainties.     

The Role of Real Options in Capital Budgeting: Theory and Practice1

Most discussions of capital budgeting take for granted that discounted cash flow (DCF) and real options valuation (ROV) are very different methods that are meant to be applied in different circumstances. Such discussions also typically assume that DCF is “easy” and ROV is “hard”—or at least dauntingly unfamiliar—and that, mainly for this reason, managers often use DCF and rarely ROV. This paper argues that all three assumptions are wrong or at least seriously misleading. DCF and ROV both assign a present value to risky future cash flows. DCF entails discounting expected future cash flows at the expected return on an asset of comparable risk. ROV uses “risk‐neutral” valuation, which means computing expected cash flows based on “risk‐neutral” probabilities and discounting these flows at the risk‐free rate. Using a series of single‐period examples, the author demonstrates that both methods, when done correctly, should provide the same answer. Moreover, in most ROV applications—those where there is no forward price or “replicating portfolio” of traded assets—a “preliminary” DCF valuation is required to perform the risk‐neutral valuation. So why use ROV at all? In cases where project risk and the discount rates are expected to change over time, the risk‐neutral ROV approach will be easier to implement than DCF (since adjusting cash flow probabilities is more straightforward than adjusting discount rates). The author uses multi‐period examples to illustrate further both the simplicity of ROV and the strong assumptions required for a typical DCF valuation. But the simplicity that results from discounting with risk‐free rates is not the only benefit of using ROV instead of—or together with—traditional DCF. The use of formal ROV techniques may also encourage managers to think more broadly about the flexibility that is (or can be) built into future business decisions, and thus to choose from a different set of possible investments. To the extent that managers who use ROV have effectively adopted a different business model, there is a real and important difference between the two valuation techniques. Consistent with this possibility, much of the evidence from both surveys and academic studies of managerial behavior and market pricing suggests that managers and investors implicitly take account of real options when making investment decisions.     

A Reconsideration of Tax Shield Valuation

A quarter‐century ago, Miles and Ezzell (1980) solved the valuation problem of a firm that follows a constant leverage ratio L = D/S. However, to this day, the proper discounting of free cash flows and the computation of WACC are often misunderstood by scholars and practitioners alike. For example, it is common for textbooks and fairness opinions to discount free cash flows at WACC with beta input β _S = [1 + (1 ? τ)L]β_u, although the latter is not consistent with the assumption of constant leverage. This confusion extends to the valuation of tax shields and the proper implementation of adjusted present value procedures. In this paper, we derive a general result on the value of tax shields, obtain the correct value of tax shields for perpetuities, and state the correct valuation formulas for arbitrary cash flows under a constant leverage financial policy.     

Asset Valuation and Performance Measurement in a Dynamic Agency Setting

This paper examines the choice of asset valuation rules from a managerial control perspective. A manager creates value for a firm through his effort choices. To support its operating activities, the firm also engages in financing activities such as credit sales to its customers. Since such financing activities merely change the pattern of cash flows across periods, an optimal compensation scheme must shield the manager from the risk associated with the financing activities. We show that residual income combined with fair value accounting for receivables eliminates this risk and provides an optimal performance measure. In contrast, compensation schemes based only on realized cash flows can be optimal only under exceptional circumstances. We also consider a setting in which there is sufficiently disaggregated information about periodic cash flows so as to eliminate not only the risk associated with financing activities but also the risk associated with customer defaults. The principal then wants to depart from fair value accounting.     

Cash Flow Volatility, Prices and Price Volatility: An Experimental Study

The value of an asset is equal to the present value of its expected future cash flows. It is affected by the magnitude, timing and riskiness, or volatility, of the cash flows. We hypothesize that if the expected values of two assets?? cash flows are equal, the value of the asset with more volatile cash flows will be lower. Furthermore, we examine the impact of the volatility of cash flows on the volatility of prices. We consider a simple experimental environment where subjects trade in an asset which provides dividends from a known probability distribution. The expected value of the dividends is identical in all experimental treatments. The treatments vary with respect to the volatility of dividends. We find that when dividends are more volatile, transaction prices are lower. We also find that the volatility of prices is lower in the treatment with highly volatile dividends. In addition, as expected, trading volume is lower when cash flows are less volatile.     

Dividends,taxes, and common stock prices: The ex-dividend day behavior of common stock prices before the income tax

This study examines the ex-dividend day behavior of common stock prices before the enactment of the federal income tax. On ex-dividend days during the pre-tax period, stock prices fell, on average, by the full amount of the dividend. The data are consistent with the hypothesis that (i) investors in the pre-tax period value dividends and capital gains as perfect substitutes and (ii) the differential taxation of dividends and capital gains has since caused investors to discount the value of taxable cash dividends in relation to capital gains.     

On the Weighted Average Cost of Capital with Personal Taxes

This paper considers the impact of personal taxation on the Miles and Ezzell (1980) result that the weighted average cost of capital is the appropriate rate for discounting after corporation tax cash flows in an MM (Modigliani and Miller, 1958, 1963) perfect capital market with corporation tax. An analogous result, incorporating a capital gains tax adjustment, is derived for the personal tax case, and its application to the UK tax system is considered.     

Valuación con opciones reales de proyectos con flujos correlacionados con fundamentales económicos y con saltos extremos Viabilidad del caso COMERCI UCB

This paper extends the method of discounted cash flows to value investment projects through incorporating real options. It is assumed the cash flows generated by the firm are correlated with macroeconomic fundamentals, particularly with the interest rate. It is also assumed that the cash flows have jumps whose size is given by an extreme value distribution. The flows are viewed as a portfolio of real options. The options arise from a stochastic dynamic optimization process where the investor (the entrepreneur) seeks to maximize his/her total profit discounted, subject to the wealth he/she possesses. This wealth includes the investment project, a risk-free bond, and a set of real options associated with the project.     

Discounting expected values with parameter uncertainty

In valuing future cash flows, the standard practice is to take the current cash flow and then extrapolate at an expected growth rate, which can vary at different points in time. This practice stems from the standard way of dealing with time value of money problems under certainty. However, with uncertain cash flows, this practice underestimates the expected cash flows when the growth rates are serially correlated. As a result, both value and the equity cost, calculated as an internal rate of return, are biased low. Given the prevalence of serial correlation in the economy, this paper demonstrates how to incorporate the effects of serial correlation in a simple way and demonstrates by way of a simulation that the effects can be significant. As a result, it casts doubt on the usefulness of several standard valuation approaches and results.     

Using Real Activities to Avoid Goodwill Impairment Losses: Evidence and Effect on Future Performance

We examine whether managers postpone the recognition of goodwill impairment by manipulating cash flows and the consequences of such a strategy on future performance. According to SFAS 142, an impairment loss must be recognized if the reporting unit's total fair value to which goodwill has been allocated is less than its book value. A growing body of empirical evidence shows that managers delay the recognition of goodwill impairment in accounting books. However, past literature is silent on how managers convince various gatekeepers (e.g., auditors, financial analysts) that recognizing an impairment loss is unnecessary although it seems economically justified. SFAS 142 requires managers to forecast future cash flows to justify the decision to recognize, or not, an impairment loss. Therefore, we predict that managers manipulate upward current cash flows to support their choice to avoid reporting an impairment loss. We also test whether or not this real earnings management is detrimental to future performance. Based on a sample of US firms over the period 2003–2011, we document that firms suspected of postponing goodwill impairment losses exhibit significantly positive discretionary cash flows compared to various control groups. We also find that this real activities manipulation is detrimental to future performance.     

Risk-adjusted discount rates and capital budgeting under uncertainty

This paper is concerned with the valuation of multiperiod cash flows in a world where prices are determined according to the Sharpe-Lintner-Black model of capital market equilibrium. We find that the current market value of any future net cash flow is the current expected value of the flow discounted at risk-adjusted discount rates for each of the periods until the flow is realized. The discount rates are known and non-stochastic, but the rates for the different periods preceding the realization of a cash flow need not to be the same, and the rates relevant for a given period can differ across cash flows. The risk adjustments in the discount rates arise because of uncertainties about reassessments through time of the expected value of a flow and the relationships between these reassessments and the corresponding reassessments of the expected cash flows of all firms.     

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.     

Calculating the market value of riskless cash flows

This paper uses arbitrage arguments to calculate the market value of riskless after-tax cash flows. The market value equals the present value of riskless after-tax cash flows discounted at the after-corporate-tax riskless interest rate. The market value equals the adjusted present value of riskless after-tax cash flows only when the incremental debt used in the adjusted present value calculations equals the market value of the remaining after-tax cash flows. Also, the analysis provides valuation formulas when interest and tax rates are certain but not uniform and when interest rates are uncertain.     

DDM模型不确定性与银行投资者关系管理

对银行股基本价值的判断是银行投资者关系管理部门与投资者沟通的基础。目前全球投资者通用三阶段DDM现金流折现模型进行银行股估值,该模型是通过预测银行未来现金流和终值折现加总后得到银行内在价值的分析方法。在实际应用中,对折现率、每年现金流、终值和银行ROE等不确定性变量的预测影响着对银行长期价值的判断。投资者关系管理部门应在经济运行和银行客观经营基础上,理解银行估值模型的不确定性,从而与投资者进行有效沟通,保持资本市场对这些不确定性因素的合理判断,引导资本市场从长期价值投资角度理解银行。     

Has the value of cash increased over time?

We document a dramatic increase in the market valuation of cash holdings of US firms from 1988 to 2013. The value of one dollar of cash has increased by $0.019 per year during the period, indicating that shareholders place more value on cash in recent years. We also find that the increasing trend in cash value is driven mainly by increases in institutional shareholdings and accounting conservatism. We further decompose cash change into cash flows from operation (CFO) and cash flows from investing and financing activities, and find that CFO is a significant driver of the increasing trend in cash value.