This paper is concerned with costs of capital in mathematical programming formulations of the problem of capital budgeting under capital rationing. It shows that there is a serious error in the method outlined by previous authors for converting the shadow prices from the solution of the dual into measures of the firm's marginal internal opportunity rates. In addition to demonstrating that the traditional approach leads to erroneous and nonsensical results, this paper presents a correct procedure for determining these rates.

Our paper extends prior work on abandonment and replacement policies by analyzing the effects of both the Darby and the Fisher interest rate hypotheses. In most of the new cases developed, the effect of increased inflation on economic life is ambiguous. In the abandonment problem, we find a greater tendency under the Fisher hypothesis than under the Darby hypothesis for increased inflation to result in an extension of economic life. In contrast, for the replacement problem, there is a greater tendency under the Fisher hypothesis (than under Darby) for inflation to shorten the asset holding period.

The relationship between return on assets and their riskiness is one of the liveliest topics in financial literature. In his 1952 landmark article, Markowitz developed a mathematical model that captured this key financial concept. defined risk as the variance of the rate of return of a portfolio. Later, Sharpe hypothesized a positive linear relationship between expected rate of return on an asset and the risk premium associated with that asset. Subsequently, Sharpe tested this hypothesis empirically and found support for his theory. Although portfolio theory specifies the two parameters of this model as ex ante return and risk, Sharpe used ex post data for testing the risk-return relationship. designated the ex post mean rate of return obtained on an an asset as a proxy for expected return and the standard deviation of ex post annual rates of return as a surrogate for risk.

Not all racetrack bettors want to handicap. Some prefer to buy expert opinion on the winners of each race and on the day's best bet. Investors are not very different. Many like to avoid the analysis required to choose among investment funds and so seek some summary measure that will rank funds relative to one another and indicate which one is the best bet. Two measures suggested in work by John Lintner [2], William Sharpe [6], Jack Treynor[7], and Henry Latané and Donald Tuttle [1] rank investment funds considering both return and risk. These measures not only can be taken to provide an indication of the best bet among investment fund managements but also offer a guide to building a portfolio.

Two measures of investment worth: the discounted-rate-of-return and the payback method will be compared here. Many examples can be found in the literature illustrating the serious limitations of the payback method.

According to these examples, an investment proposal may be judged economically undesirable when in actual fact it is highly profitable. This happens when the annual cash flow is not equal, and the investment project promises a relatively large cash flow after the cut-off period.

We study how patenting enhances customer capital and creates financial value in a product market characterized by information asymmetry between firm insiders and customers. We find that firms with more and higher quality patents develop greater customer capital, as measured by more positive customer perceptions of product novelty and quality. To establish causality, we exploit the exogenous variation in the random assignment of patent examiners to review applications and use the average examiner leniency as an instrument for patent grants. Our mediation analysis documents a positive impact of patenting on firm performance and financial market valuation through enhanced customer capital.

How does trading in one venue affect the quoting strategies of market makers in other venues? We develop a two-venue imperfect competition model in which market makers face quadratic costs when absorbing shocks. Nonconstant marginal costs imply that absorbing a shock in one venue simultaneously changes marginal costs in all other venues. Moreover, market makers strategically choose which shock(s) to absorb. These two forces may intensify competition, leading to enhanced liquidity. Using Euronext proprietary data, we track individual best bid and ask quotes of intermediaries in each venue. We uncover evidence of strategic cross-venue market-making behavior which is uniquely predicted by our model.

How households shift spending across firms in response to income fluctuations is an important source of firm risk. Using transaction-level data, we study how households interact with the universe of retailers following income changes. We find that income increases within and across households result in substitution toward retailers in a category that are higher quality; smaller; more profitable; and have higher labor intensity, research and development (R&D) intensity, and equity betas. Although not all shifts are economically large, they do not average out across retailers. Thus, retailer choice has implications for key financial and macroeconomic outcomes, such as aggregate profitability and labor demand.

Evidence provided here suggests that investors could have identified, ex ante, portfolios that hedge against uncertainty in the prices of three major categories of consumption: food, shelter, and transportation. This finding has implications for the practical importance of multi-period capital asset pricing theories that assume investors can identify such hedge portfolios. The study also provides some surprising evidence about the usefulness of common stocks and commodity futures contracts in hedging against specific price inflation. Certain combinations of common stocks serve as effective hedges, but combinations of commodity futures contracts contribute nothing to hedging ability.

In many circles the Mean Variance Capital Asset Pricing Model (MV CAPM) is synonymous with the theory of capital asset pricing. But in a single-period discrete-time model which explicitly recognizes the existence of limited liability the derivation of the MV CAPM, if it is to be consistent with the von Neumann-Morgenstern postulates of rational behavior, must be based on the assumption that all investors have quadratic utility functions. This assumption in turn implies that risky assets are inferior goods. However, if we turn to the broader class of linear risk tolerance (LRT) utility functions, for which the separation property holds, other simple two-mutual-fund CAPMs can be derived. The power utility LRT CAPMs are of particular interest as they are consistent with risky assets being normal goods.

A financial decision model of the firm, in which most prior deterministic decision models' assumptions were relaxed, was developed and solved for its policy and state variables' time-optimal trajectories. In particular, the three alternative modes of corporate financing, with their respective explicit and implicit costs, were treated as distinct, time-variant decision variables. In addition, their dynamic interdependent relationship with the firm's investment-possibilities schedule was clearly delineated. Besides eliminating the usual constant returns assumption, our model further introduced a dividends discount factor which was an explicit function of the firm's debt-equity ratio.

Furthermore, despite the generality of the model solutions, valuable economic implications were determined; namely, (1) conditions for the existence of a steady-state equilibrium were established with the critical role of nonproportional external equity flotation costs being observed; (2) the firm's dynamic equilibrium path was locally unstable in the initial, high-growth phase of its life cycle and was locally stable in its declining-growth stage–a result consistent with the growth literature in security valu ation theory; and (3) the usual assumptions of the balanced-growth path models are sufficient for the optimality of their decision policies.

In his recent paper in this Journal, Miller [3] proposed, following Adler's results [1], that “the investor exhibits decreasing absolute risk aversion with respect to expected wealth if, as increased holding σ constant, the slope of the indifference loci decreases” [3, p. 301]. He further attempted to have shown that in general the sign of () is the same as the sign of r'(W) (the derivative of the absolute risk aversion measure), but this is not proved.

Pricing municipal debt is a process substantially different from the valuation of corporate liabilities. Municipalities are not seized upon default. Therefore, they might own additional assets that could he made available to retire debt even when the value of pledged revenues is insufficient to do so. However, if the value of the municipality's additional assets is only observable privately, moral hazard can deter payments from these alternative revenue sources. A second consequence of lack of seizure is that the municipality survives and might return to the capital markets to raise additional funds in the future. This opens an opportunity to induce “extraordinary” payments from the value of the additional assets through multiperiod pricing controls (e.g., by following defaults with poor pricing for subsequent securities issues).

The purpose of this note is to demonstrate that the explicit introduction of consumption patterns alters the traditional relationship between expected return and variance presented by Markowitz, Tobin, Sharpe, Lintner, and others.

By focusing attention on managers' concept of risk and the methods they use to measure risk, this paper attempts to lessen the disparity between current theory and practice by suggesting a method that will make IRR and NPV more generally applicable. We attempt to do this through a methodology that combines some PERT assumptions with traditionally accepted academic techniques and those used by practicing business managers to provide a probability distribution of the cumulative net present value (CPV). From these data we develop a probability distribution of the discounted payback period.

It is widely assumed in portfolio theory that investors are risk-averse expected-utility maximizers. There is a good theoretical reason for assuming expected-utility maximization. Such behavior is well known to be consistent with several quite plausible postulates of rationality [5]. On the other hand, the main empirical foundation for such behavior in portfolio selection appears to be the observation of diversification. Risk-averse, expected-utility maximization implies diversification in portfolio selection, and investors are observed to diversify.

Machine learning-based stock market beta estimators outperform established benchmark models both statistically and economically. Analyzing the predictability of time-varying market betas of U.S. stocks, we document that machine learning-based estimators produce the lowest forecast and hedging errors. They also help to create better market-neutral anomaly strategies and minimum variance portfolios. Among the various techniques, random forests perform the best overall. Model complexity is highly time-varying. Historical stock market betas, turnover, and size are the most important predictors. Compared to linear regressions, allowing for nonlinearity and interactions significantly improves predictive performance.

Previous literature finds anomalies are at least as prevalent in developed markets as in emerging markets; namely, the global anomaly puzzle. We show that while market development and information diffusion are linearly related, information diffusion has a nonlinear impact on anomalies. This is consistent with theoretical developments concerning the process of information diffusion. In extremely low-efficiency regimes, without newswatchers sowing the seeds of price discovery and ensuring the long-run convergence of price to fundamentals, initial mispricing and subsequent correction will not occur. The concentration of emerging countries in low-efficiency regimes provides an explanation to the puzzle.

We present an equilibrium model of hedging for commodity processing firms. We show the optimal hedge ratio depends on the convexity of the firm’s cost function and the elasticity of the supply of the input and the demand for the output. Our calibrated model suggests that hedging tends to be ineffective. When uncertainty comes exclusively from either the supply or from the demand side, updating the hedge dynamically, and using nonlinear contracts improves hedging effectiveness. However, with both supply and demand uncertainty, hedging effectiveness can be low even with option-based and dynamic hedging strategies.

We show that a simple, intuitive variable, Goliath versus David (GVD), reflects time variation in discount rates related to changes in aggregate business conditions. GVD is the annual change in the weight of the largest 250 firms in the aggregate stock market and is motivated by research that shows that small firms are more severely impacted than large firms by economic shocks due to differences in access to external finance. We find that GVD is the best single predictor of out-of-sample market returns among traditional predictors, predicting quarterly market returns with an out-of-sample R2 of 6.3% in the 1976–2011 evaluation period.