Choosing a discount point/contract rate combination

Confronted with an array of contract rate/discount point combinations from which to choose, a mortgagor must evaluate his/her wealth with respect to each choice. The future path of the cost of mortgage capital will affect the wealth of the mortgagor to a different degree depending on which contract rate/discount point combination he/she chooses. Using the Expected Monetary Value algorithm, we show that variation of marginal income tax rates and expectations about the future path of the cost of mortgage capital across mortgagors can explain the demand for different contract rate/discount point combinations. Our results provide a rationale for a mortgagor choosing an intermediate point/contract rate combination.Paper presented at the annual meeting of the A.R.E.U.E.A., 1989, Atlanta.     

The Multi-Period Cost-Benefit Rule with Mobile Capital and Distorted Labor

Lind (1990) argues that capital mobility should be incorporated into the discussions of the social discount rate. He finds that when labor market distortion is ignored in that context, the appropriate discount rate for both project benefits and costs is the net rate of return, and the gross rate of return does not enter into the rule. Taking into account the labor market distortion, we find that a projects impacts on government receipts should be incorporated into its evaluation and that costs should be multiplied by a marginal cost of funds (MCF) before being compared with benefits. Although the net rate continues to be the correct discount rate to use, the gross rate enters into the rule by having effects on the projects receipt impacts and the MCF.JEL Code: D61, H43, F21     

Capital Allocation in Financial Firms

This paper develops a theory of capital allocation in financial intermediaries where the cost of "risk capital" is a critical consideration. The implication for capital budgeting is that financial firms should use a modified NPV rule in which projects are valued by calculating the NPV of cash flows using marketdetermined discount rates and then subtracting a deadweight cost of capital that reflects the project's marginal contribution to firm-wide risk.
By taking account of deadweight costs—mainly monitoring and moral hazard costs associated with having too little equity capital as well as "free cash flow" agency costs and higher taxes associated with having too much—the capital allocation model predicts that financial firms will diversify across businesses with similar deadweight costs. Such diversification reduces the cost of risk capital for the individual businesses, thereby creating more profitable investment opportunities at the margin and enabling the businesses to operate on a larger scale. The authors note that their model has similarities to but also important differences from the standard applications of RAROC models.     

The volatility of consumption-based stochastic discount factors and economic cycles

This paper aims to assess the macroeconomic and financial impact of economic uncertainty using information contained in the second moments of financial risk factors employed in the asset pricing literature. Specifically, we propose the volatility of consumption-based stochastic discount factors (SDFs) as a predictor of future economic and stock market cycles. We employ both contemporaneous and ultimate consumption risk specifications with durable and non-durable consumption. Alternative empirical tests show that this volatility has significant forecasting ability from 1985 to 2006. The degree of predictability tends to dominate that shown by standard predictor variables. We argue that the significant predictability of the volatility of consumption-based SDFs reported in this paper relies mainly on the joint effect of their components.     

The Cost of Equity Capital at the Corporate and Investor Levels Allowing a Rational Expectations Model with Personal Taxations

This paper argues that the conventional definition of the cost of equity at the corporate level is likely to be fundamentally flawed under conditions of personal taxation. A 'dimensionally consistent' definition is developed utilising the pioneering contributions of Auerbach and Elton and Gruber. Consequent benefits are straight-forward expressions for the cost of equity capital at the corporate level (for both retained earnings and new equity) as well as at the investor level (post personal tax) in terms of both the dividend discount and CAPM-type models, which are applicable to classical and imputation tax systems. A fundamental framework is thereby provided which succeeds in illuminating investor pesonal tax liabilities as they might be expected to impact on a firm's investment and related dividend policies.     

Price Elasticity of Demand and an Optimal Cash Discount Rate in Credit Policy

While the provision of a cash discount is equivalent to a reduction in price, the role of price elasticity of demand in determining credit terms has been neglected in the extant literature. In this paper, this role is investigated and it is shown that the optimal cash discount rate is affected by the price elasticity of demand for the firm's product. The comparative effects on the optimal cash discount rate with respect to exogenous changes in the fraction of credit sales paid after taking cash discount, the cost of short-term funds and the bad debt loss ratio are investigated. A trade-off between the time value gain and the price elasticity of demand is established. We find that firms which sell in locations having different price elasticities for their products, and/or which face various costs of short-term funds in different locations, should vary their cash discount terms accordingly.     

Accounting‐based Risk Management and the Capital Asset Pricing Model: An Empirical Comparison

Accounting‐based risk management (ABRM) is a theoretically consistent and practical tool for calculating the cost of capital from underlying financial ratios. In this paper, a sample of ABRM‐generated discount factors is used to generate risk‐adjusted returns, which are compared to CAPM equivalent discount factors. In view of the debates about CAPM's validity, alternative models, the nature and scale of the equity risk premium, and the importance of discount rates in capital budgeting and asset valuation, ABRM's characteristics and resulting discount rates offer a potentially useful alternative. Results suggest that although average discount rates are comparable, their cross‐sectional distributions are dissimilar, so that investors in an average risky firm are overcompensated for systematic risk when using CAPM discount rates, because CAPM discount factors overestimate risk arising from fixed costs in most firms.     

Arithmetic versus geometric mean estimators: Setting discount rates for capital budgeting

This paper addresses an issue central to the estimation of discount rates for capital budgeting: should the geometric mean or arithmetic mean of past data be used when estimating the discount rate? the use of the arithmetic mean ignores estimation error and serial correlation in returns. Unbiased discount factors have been derived that correct for both these effects. In all cases, the corrected discount rates are closer to the arithmetic than the geometric mean.     

Taiwanese Mutual Fund Performance Under Different Central Bank of China Monetary Policy Environments

This study examines the performance of mutual funds under different Central Bank of China monetary policy environments in the emerging Taiwan market. To measure monetary policy changes effectively, we exploit changes in the discount rate and further categorize the monetary environment as either restrictive or expansive. We consider a restrictive monetary environment to be a period in which the discount rate rises, whereas an expansive monetary condition is a period in which the discount rate drops. It is found that all mutual funds, both domestic and international funds, exhibit a higher mean return, lower risk, and higher Sharpe and Treynor ratios under expansive monetary policy environments. Regression results show that domestic mutual fund returns are related significantly to local monetary policy. Furthermore, after controlling for the possible effect of macro factors on the association between the monetary policy dummy variable and mutual fund returns, the significant influence of monetary policy on domestic mutual fund returns remains robust. In contrast, changes in U.S. monetary policy stringency, in general, do not affect the performance of either domestic or international mutual funds in Taiwan.     

¿Influyen las Normas Internacionales de Información Financiera en el riesgo de las acciones?

The present research has two objectives. First, we study the determinants of stock risk. Second, we analyze whether International Financial Reporting Standard (IFRS) implemented in the Spanish market in 2005 has affected these determinants. It is quite important for both entrepreneurs and management professionals to understand the accounting information and macroeconomic factors that explain stock risk, since it suggests which factors can be used to estimate this risk, and hence, to analyze the evolution of cost of capital or discount rate. The discount rate plays an important role in wide range of financial decisions; whose value depends on the risk among other factors. Therefore, it is significant to obtain an objective estimation of discount rate, which is difficult to handle specifically in the context of small and medium sized enterprises (SMEs). Effective management involves the ability to forecast future changes, capture positive effects, and minimize negative ones. Once we find out the variables that can be utilized to explain the risk, we can observe and analyze their evolution to anticipate future changes in the discount rate.     

When are investment projects in the same risk class?

If two investments have the same pay‐off covariance with the market but one has higher expected pay‐off, which asset according to the CAPM has most risk? One answer is that as far as risk goes the two assets are the same, because they have the same covariance with the market. The correct answer, pointed out nearly four decades ago by Eugene Fama, but long overlooked, is that investments have the same risk, the same returns beta and the same CAPM discount rate if and only if they have the same ratio of ex ante pay‐off covariance to pay‐off mean. This insight clarifies much of the conventional wisdom that surrounds capital budgeting and ‘risk‐adjusted’ discount rates, while also displaying the mechanics by which information arrival affects the CAPM cost of capital.     

Dividend reinvestment plans: An empirical analysis

This study examines the effect of initiating discount and no discount dividend reinvestment plans on shareholder wealth. The results show a negative response to DRP announcements, which is significantly smaller than that found in studies of new equity offerings. These results are consistent with the Scholes and Wolfson (1989) hypothesis that managers in need of equity capital use DRPs to mitigate the adverse stock price effects of new equity issue announcements. Furthermore, there is a significant difference in the price response of discount and no discount DRPs for industrial firms. This result is supportive of the signaling potential of discount DRPs. Supportive evidence is also found in the analysis of firm characteristics for industrial firms.     

Risk adjusted discount rates and the present value of risky costs

In capital budgeting the correct risk adjusted discount rate for future cash flows is independent of whether the flow is a cost or a revenue. Contrary to a widely disseminated view in some popular textbooks and elsewhere, costs are not especially safe (nor risky), and accordingly costs should not be discounted at especially low risk adjusted discount rates. This paper analyzes capital budgeting within a portfolio model in which revenues and costs appear as “long’ and “short’ portfolio positions, respectively, and proves that costs are neither more nor less intrinsically risky than revenues.     

Venture capital trusts and the expiration of IPO lock-up provisions

Venture capital trusts (VCTs) were introduced to provide private equity capital for small expanding companies and to promote innovation. Investors in initial public offerings are rewarded with tax relief on the cost of lock-up provisions to stabilize the market. This paper examines the market reaction and trading activity around the expiration of lock-up provisions of 148 VCTs listed on the London Stock Exchange from 1995 to 2006. Downward-sloping demand curve theory suggests that an increased supply of VCT shares at the expiry date could shift their value to a new equilibrium at a lower price. Supporting this prediction, we document evidence of negative abnormal returns as well as permanent increases in the price discount relative to net asset value and trading volumes at and around the expiries of the required holding periods of VCTs. In addition, less negative abnormal returns, lower abnormal discounts and lower abnormal trading volumes are associated with VCTs that invest in AIM-listed companies due to lower information asymmetry, that experience lower prior performance due to a less pronounced disposition effect, and that are subject to a shorter lock-up horizon or are offering more generous tax benefits.     

THE COST OF CAPITAL,MACAULAY'S DURATION,AND TOBIN'S q

It is shown empirically that the cost of equity capital estimated from the dividend discount model and Tobin's q are negatively related. The theoretical relationship between these variables is exploited to determine alternative estimates of the cost of equity capital and Macaulay's duration without having to estimate the growth rate g in the conventional manner. This new approach can readily be implemented for large firms reporting SFAS No. 33 data.     

The irreversibility premium

When investment is irreversible, theory suggests that firms will be “reluctant to invest.” This reluctance creates a wedge between the discount rate guiding investment decisions and the standard Jorgensonian user cost (adjusted for risk). We use the intertemporal tradeoff between benefits and costs of changing the capital stock to estimate this wedge, which we label the irreversibility premium. Estimates are based on panel data for the period 1980-2001. The large dataset allows us to estimate the effects of limited resale markets, low depreciation rates, high uncertainty, and negative industry-wide shocks on the irreversibility premium. Our estimates provide a readily interpretable measure of the importance of irreversibility and document that the irreversibility premium is both economically and statistically significant.     

Do financial conglomerates create or destroy value? Evidence for the EU

There is an ongoing debate about whether firm focus creates or destroys shareholder value. Earlier literature has shown significant diversification discounts: firms that engage in multiple activities are valued lower. Various factors are important in determining the size of the discount, for example cross-subsidization and agency problems. The existing literature, however, generally focuses on non-financial firms or on banks combining investment and commercial banking. Our paper focuses specifically on the valuation of bank-insurance conglomerates. We find no universal diversification discount but significant variability. The discount is explained by the size (increasing), the familiarity with the conglomerate business model (decreasing) and the risk profile (decreasing). Our results are robust to the historical origin, the merger record and the age of the conglomerate, as well as peer group specification and outlier elimination.     

What's your real cost of capital?

In valuing any investment project or corporate acquisition, executives must decide what discount rate to use in their estimates of future cash flows. The traditional approach is to apply the capital asset pricing model (CAPM), which has remained fundamentally unchanged for 40 years. But the formula--in particular, its beta element--has long been a source of frustration. In fact, corporate executives and investment bankers routinely fudge their CAPM estimates, say the authors, because experience and intuition tell them the model produces inappropriate discount rates. CAPM has three main problems: First, beta is a measure of both a stock's correlation and its volatility; second, beta is based on historical data; and third, CAPM rates don't take into account the term of the investment. These factors together result in discount rates that defy common sense. As an alternative to CAPM and its beta element, the authors developed a forward-looking approach to calculating a company's cost of capital, the market-derived capital pricing model (MCPM). It does not incorporate any measure of historical stock-to-market correlation, relying instead on estimates of future volatility derived from the options market. This is helpful since investor expectations from the options market are built into a company's current stock price. Using GE as an example, the authors give step-by-step instructions for how to calculate discount rates with MCPM. They also offer evidence from a range of industries to show that MCPM's discount rates are more realistic--especially from the corporate investor's perspective--than are CAPM's.     

Presidential Address: Discount Rates

Discount‐rate variation is the central organizing question of current asset‐pricing research. I survey facts, theories, and applications. Previously, we thought returns were unpredictable, with variation in price‐dividend ratios due to variation in expected cashflows. Now it seems all price‐dividend variation corresponds to discount‐rate variation. We also thought that the cross‐section of expected returns came from the CAPM. Now we have a zoo of new factors. I categorize discount‐rate theories based on central ingredients and data sources. Incorporating discount‐rate variation affects finance applications, including portfolio theory, accounting, cost of capital, capital structure, compensation, and macroeconomics.     

Do a firm's equity returns reflect the risk of its pension plan?

This paper examines the empirical question of whether systematic equity risk of US firms as measured by beta from the capital asset pricing model reflects the risk of their pension plans. There are a number of reasons to suspect that it might not. Chief among them is the opaque set of accounting rules used to report pension assets, liabilities, and expenses. Pension plan assets and liabilities are off-balance sheet and are often viewed as segregated from the rest of the firm, with its own trustees. Pension accounting rules are complicated. Furthermore, the role of the Pension Benefit Guaranty Corporation clouds the real relation between pension plan risk and firm equity risk. The empirical findings in this paper are consistent with the hypothesis that equity risk does reflect the risk of the firm's pension plan despite arcane accounting rules for pensions. This finding is consistent with informational efficiency of the capital markets. It also has implications for corporate finance practice in the determination of the cost of capital for capital budgeting. Standard procedure uses de-leveraged equity return betas to infer the cost of capital for operating assets. But the de-leveraged betas are not adjusted for the risk of the pension assets and liabilities. Failure to make this adjustment typically biases upward estimates of the discount rate for capital budgeting. The magnitude of the bias is shown here to be large for a number of well-known US companies. This bias can result in positive net present value projects being rejected.