Discount rates for long-term projects: the cost of capital and social discount rate compared

Research on the cost of capital and on the social discount rate (SDR) has developed largely along separate paths. This paper offers an overview and comparison of both concepts. The consumption-based theory of discount rates is common to both, but there are striking differences in how the cost of capital and SDR are estimated. A project's cost of capital is inferred in practice from market data, by a well-established package of techniques, and project risk makes a large difference. In contrast, the SDR is estimated by applying judgement about the welfare of future generations, in the setting of consumption-based theory. Project risk has tended to be ignored under the SDR approach.     

Exchange Rates and the Conversion of Currency‐Specific Risk Premia

How do the risk factors that drive asset prices influence exchange rates? Are the parameters of asset price processes relevant for specifying exchange rate processes? Most international asset pricing models focus on the analysis of asset returns given exchange rate processes. Little work has been done on the analysis of exchange rates dependent on asset returns. This paper uses an international stochastic discount factor (SDF) framework to analyse the interplay between asset prices and exchange rates. So far, this approach has only been implemented in international term structure models. We find that exchange rates serve to convert currency‐specific discount factors and currency‐specific prices of risk – a result linked to the international arbitrage pricing theory (IAPT). Our empirical investigation of exchange rates and stock markets of four countries presents evidence for the conversion of currency‐specific risk premia by exchange rates.     

Discount rate changes and the foreign exchange market

Changes in the discount rate can have associated announcement effects on the foreign exchange value of the dollar only if these changes are not anticipated by the market. This paper provides evidence to support this contention. Specifically, discount rate changes made for reasons other than technical adjustments have not been anticipated fully and, consequently, their announcements have had a significant impact on the dollar's exchange rate. Furthermore, results are obtained that support the hypothesis that unanticipated discount rate changes alter inflationary expectations.     

A simple model of copyright levies: implications for harmonization

Copyright levies are used as a way of compensating rightholders for the private use made of their protected works. This paper builds a simple model of copyright levies and investigates welfare implications of the harmonization of levy rates. The result is that, when the policy-maker places sufficient weight on the interests of collecting societies, harmonization could reduce social welfare. When countries are asymmetric, the country with a larger proportion of foreign consumption and more inefficient tax system loses more from harmonization. A calibration exercise using European data shows that harmonization would increase aggregate social welfare. However, in some countries, policy-makers are worse off although consumers are better off with harmonization. Especially, when larger countries have higher decision weights, the policy-makers are worse off overall, and hence would not agree to harmonize the levy rates.     

Identifying the effects of an exchange rate depreciation on country risk: Evidence from a natural experiment

A natural experiment is used to study exchange rate depreciation and perceived sovereign risk. France suspended coinage of silver in 1876 provoking a significant exogenous depreciation of all silver standard countries versus gold standard currencies like the British pound – the currency in which their debt was payable. The evidence suggests an exchange rate depreciation can significantly increase sovereign risk if a country is exposed to foreign currency debt. We implement a difference-in-differences estimator and find that the average silver country's spread on hard currency debt increased over ten percent relative to non-silver countries.     

Has European corporatism delivered? A survey with preliminary evidence

I ask whether European firms' investments in stakeholder welfare come at the cost of lower shareholder value. Focusing on the largest 50 public firms in four European countries, I find a valuation discount in the Tobin's Q of continental European firms relative to matched US firms. The valuation discount is correlated with presence of large block holders in European firms but not with the poorer disclosure record of US firms on the environmental (E) and social (S) dimensions. In sum, poorer governance (G) in continental Europe appears to destroy more shareholder value than better E and S disclosure can add.     

Estimating cost of capital in firm valuations with arithmetic or geometric mean – or better use the Cooper estimator?

We test the extent and determinants of bias effects of the arithmetic as well as the geometric mean estimator and the estimator of Cooper [1996. Arithmetic versus geometric mean estimators: Setting discount rates for capital budgeting. European Financial Management 2 (July): 157–67] regarding discount rate estimation for firm valuation by way of a bootstrap approach for 13 different countries. The Cooper estimator is superior to both the geometric and the (conventional) arithmetic mean estimator. However, a ‘truncated’ version of the arithmetic mean estimator leads generally to better estimation outcomes than the Cooper estimator. This means that, in order to reduce problems of upward-biased firm value estimates, expected cash flows beyond a certain time horizon are completely neglected in terminal value estimation. Such an approach seems particularly reasonable for the valuation of young growth companies as well as for companies from quickly developing countries such as Brazil, China, or Thailand, because the bias in terminal value estimation is increasing in the growth rate of future expected cash flows.     

Dividend change announcements,ROE, and the cost of equity capital

We hypothesize and present strong evidence that dividend increases (decreases) result in a general decrease (increase) in the opportunity cost of equity capital (K_e), measured by the discount rate implicit in analysts' forecasts. Estimates of K_e obtained from analyst forecast data likely capture priced information risk that is not reflected in cost of equity capital estimates customarily obtained from empirical excess returns data. In the presence of a full menu of control variables, our measured changes in the cost of equity capital are shown to provide high explanatory power for the market reaction to dividend change announcements. We also hypothesize and demonstrate that the impact of dividend changes on the cost of equity is conditional on how preannouncement K_e relates to preannouncement return on equity (ROE). Specifically, dividend increases result in a reduction in the cost of equity capital only when currently experienced ROE < K_e. This is consistent with shareholders preferring earnings to be reinvested by managers to earn a higher rate than their opportunity rate. When ROE > K_e, on the other hand, the cost of equity capital actually increases. For dividend decreases, the cost of equity capital increases only when ROE > K_e, consistent with firms currently experiencing positive economic income using dividend cuts to signal anticipated permanent earnings declines. Together with extensive robustness tests, our results indicate that dividend changes significantly affect shareholder value, contrary to the longstanding dividend irrelevance argument.     

Valuation differences between quoted and unquoted companies- empirical evidence from the UK

This paper focuses upon differences in the valuation of UK quoted and unquoted companies. It draws on empirical evidence over the period from 1991 to 1997. It commences with an overview of the published literature. This suggests a broad spectrum of valuation statistics ranging from very minor discounts for non-listed companies relative to their quoted brethren, up to a discount as high as 40%. The empirical analysis uses PE ratios, derived from the publication Acquisitions Monthly, in respect of non-listed, private companies selling out in takeover deals. These are compared with average PE ratios for quoted companies in Britain. A raw statistic of approximately 40% was found as the discount for non-listed firms relative to quoted companies. However, this is dramatically different when corrected for size. For size varying from less than GBP 0.5 million to about GBP 55 million, the discount ranges, respectively, from 16% to 6% with an average of around 10%. Regression equations relating size and PE ratio are presented.     

Mean Reversion in Net Discount Ratios: A Study in the Context of Fractionally Integrated Models

This article introduces a new alternative to the ongoing debate about stationarity and mean reversion of the net discount ratio. Modeling the net discount ratio as a fractionally integrated (I(d)) process, we apply recently developed frequency domain estimation procedures and find evidence that the net discount ratio is an I(d) process with 1/2 ≤d < 1. Although nonstationary, such series behave like stationary processes in one interesting respect; they are mean‐reverting. We present results from a simulation experiment suggesting that the finding of a nonstationary, but mean‐reverting net discount ratio generally supports the validity of current practice in estimating economic damages in personal injury litigation. Moreover, if recognized and accounted for, the presence of long memory in the net discount ratio even offers the potential to significantly improve forecasts of the present value of future earnings.     

Information acquisition and voting with heterogeneous experts

A social planner selects heterogeneously biased experts to (either sequentially or simultaneously) acquire costly signals, and then agents vote between two alternatives. To maximize social welfare, the social planner adopts an alternating mechanism—choosing extremely biased experts whose preferences oppose the pivotal voter's current preference—in the optimal sequential mechanism, whereas she chooses mildly biased experts in the optimal simultaneous mechanism. Despite the flexibility of a sequential mechanism, the optimal simultaneous mechanism can achieve strictly higher social welfare when information cost is low. Supermajority rules can dominate simple majority rule in terms of both information acquisition and social welfare.     

DEVELOPMENT, THE ENVIRONMENT, AND THE SOCIAL RATE OF DISCOUNT

This article examines the role of the discount rate in makingdecisions that will have significant implications for the environment.The authors begin by providing a rationale for discounting ingeneral and by describing the main factors that determine thediscount rate. These factors—the private and social ratesof time preference, the opportunity cost of capital, risk anduncertainty, and the interests of future generations—allhave an environmental dimension. The article goes on to examinethat dimension and to explore the connections between the choiceof the discount rate and environmental concerns, such as excessiveexploitation of natural resources, inadequate investment inconservation, and insufficient attention to the irreversibleloss of certain environmental resources. The authors conclude that, in general, environmental concernsare not best addressed by lowering the discount rate—anaction that might have both benefits and costs for the environment.A more promising course would be to incorporate a criterionof sustainability into certain aspects of decisionmaking. Howsuch a criterion could be made operational is touched upon butnot developed in this article.      

Valuation in Emerging Markets: A Simulation Approach

Most of the foundations of valuation theory have been designed for use in developed markets. Because of the greater, and in some cases different, risks associated with emerging markets (although recent experience might suggest otherwise), investors and corporate managers are often uncomfortable using traditional methods. The typical way of capturing emerging-market risks is to increase the discount rate in the standard valuation model. But, as the authors argue, such adjustments have the effect of undermining some of the basic assumptions of the CAPM-based discounted cash flow model. The standard theory of capital budgeting suggests that estimates of unconditional expected cash flows should be discounted at CAPM discount rates (or betas) that reflect only “systematic,” or “nondiversifiable,” market-wide risks. In practice, however, analysts tend to take what are really estimates of “conditional” expected cash flows—that is, conditional on the firm or its country avoiding a crisis—and discount them at higher rates that reflect not only systematic risks, but diversifiable risks that typically involve a higher probability of crisis-driven costs of default. But there is almost no basis in theory for the size of the increases in discount rates. In this article, the authors propose that analysts in emerging markets avoid this discount rate problem by using simulation techniques to capture emerging-market risks in their estimates of unconditional expected cash flows—in other words, estimates that directly incorporate the possibility of an emerging-market crisis and its consequences. Having produced such estimates, analysts can then discount them using the standard Global CAPM.     

Is Country Diversification better than Industry Diversification?

In this paper, we develop a framework in which one can examine the source of industry and country diversification by examining their underlying return components. We find that the global cash flow factor explains on average 39% of the variation of country cash flows and global discount rates explain 55% of the variation of country discount rates. These are much less than the explanatory power of the two factors over industry cash flow and discount rate variations, which are 72% and 78% respectively. This suggests that global factors are much less important for return components at country level than at the industry level. As a result, both better diversification of expected returns and cash flows across countries determine the larger benefits of country diversification versus industry diversification. Moreover, emerging markets tend to have much smaller co‐movements of both dividends and expected returns with those of the world, suggesting a lower degree of integration with the world goods and financial markets. Our results cast doubt on the prevailing wisdom that country diversification should be replaced by industry diversification.     

Investigating sources of unanticipated exposure in industry stock returns

This paper investigates the sources of both foreign exchange rate and interest rate exposure of industry level portfolios in the G7, decomposing exposure into cash flow and discount rate effects. Initial examination of the degree of exposure on industry returns produces results consistent with the prior literature: that there is little evidence of exchange rate exposure in most industries - the exchange rate exposure puzzle. However, rather than relying solely on the sensitivity of industry returns, we examine the cash flow sensitivity to foreign exchange exposure, of primary interest to firm managers. Critically, decomposing the exposure into cash flow and discount rate components unlocks the exact extent and nature of exposure. Our results show industries have significant cash flow and discount rate exposures. These exposures increase with the level of trade openness and the spread between permanent cash flow exposure and transitory discount rate exposure widens.     

Discount window borrowing,monetary policy,and the post-October 6, 1979 federal reserve operating procedure

A demand schedule for discount window borrowing based on profit-maximizing bank behavior is derived. A feature of non-price rationing at the discount window making longer duration borrowing more costly is shown to make lagged borrowing and expected future spreads between the Federal funds rate and the discount rate relevant to the current borrowing decision. Consequently, both the size of the coefficients in the borrowing functions as well as the form of the function itself depend on expected Fed policy toward the spread. The demand function for discount window borrowing provides the critical link by which non-borrowed reserve control affects short-term interest rates and ultimately the money supply under post-October 6, 1979 reserve targeting. The analysis suggests some reasons why the Fed has experienced difficulty in specifying, estimating, and utilizing a discount window borrowing function in the non-borrowed reserve operating procedure.     

Imperfect competition,indirect tax harmonization and public goods

This paper shows that the welfare implications of indirect tax harmonization in a two-country imperfectly competitive framework, are, in general, indeterminate in the presence of public goods: Both countries can be made either worse off or better off. This holds under both the destination and origin principles of taxation and is in sharp contrast to existing results where revenue effects are not present. A consequence of this indeterminacy is that a precise evaluation of tax-harmonizing policies under both tax regimes requires an explicit consideration of the underlying preferences for private and public goods as well as the oligopolistic sectors’ relative cost structures. JEL code F15⋅ H21⋅ H41⋅ H87     

Commentary: Some Further Evidence on Discount Rate Selection in the Context of Goodwill Impairment Testing

In an earlier edition of this journal, we published evidence relating to the nature of discount rates chosen by a sample of large Australian‐listed firms in the context of their goodwill impairment testing ( Carlin and Finch 2009 ). We argued that our evidence suggested that the rigour of the International Financial Reporting Standards (IFRS) goodwill impairment testing process was being undermined by inappropriate choice of discount rates on the part of many firms. In a commentary published alongside our article, questions were raised as to the validity of our conclusions and the methodology we applied in our study ( Gallery 2009 ). Subsequently, Bradbury has also contributed to the debate, raising similar concerns to those voiced by Gallery ( Bradbury 2010 ). In this brief paper, we provide further and better particulars in relation to our original dataset in a bid to assist those who have taken an interest in this debate to further inform their view of the merits (or otherwise) of the case we made in our original article.     

How Fundamental are Fundamental Values? Valuation Methods and their Impact on the Performance of German Venture Capitalists

This paper studies how the use of alternative valuation methodologies affects investment performance for a sample of 53 German venture capitalists. We measure investment performance by the amount of investments they need to write off and by the number of companies they take public. We find that a significant number of investment managers use discounted cash flow (DCF) techniques, but only a minority appears to use a discount rate related to the cost of capital. The majority applies DCF using subjective discount rates. We present evidence that the use of DCF is correlated with superior investment performance only if applied in conjunction with an objectifiable discount rate. Also, funds that invest with a longer horizon perform better. The use of multiples is not significantly correlated with investment performance. We conclude that a focus on fundamental values confers an advantage.