Disagreement and the Cost of Capital

We assess how forms of disagreement among investors affect a firm's cost of capital. Firms experience a lower cost of capital if investors perceive that other investors are ignoring relevant disclosures (perceived errors of omission), but a higher cost of capital if investors perceive that others are responding to irrelevant disclosures (perceived errors of commission). The impact of these two sources of disagreement on the cost of capital is determined by the distribution of opinion and the nature of disclosure. For example, even though aggregated disclosures reveal less to investors, aggregated disclosures may decrease the cost of capital by eliminating disagreement associated with perceived errors of commission. These and additional results arise because the cost of capital is driven not only by investors’ uncertainty about the firm's future earnings performance, but also by investors’ uncertainty about the evolution of beliefs, which partly determines the path of prices.     

A REAL OPTIONS DESIGN FOR QUALITY CONTROL CHARTS

We develop a financial model for a manufacturing process where quality can be affected by an assignable cause. We value the real options associated with applying a statistical process control chart using the Black-Scholes equation, binomial and pentanomial lattices, and Monte Carlo simulation methods. This valuation gives decision makers a way to choose the appropriate quality control strategy based on an integrated view of the market dynamics with the manufacturing operational aspects. An industry case is used to demonstrate the application of real options to value control chart decisions. Web based programs are given to value the alternatives in the case study, making the valuation task accessible to other users.     

Equilibrium Exchange Rate Hedging

We assume a world like the one that gives the capital asset pricing model, but with many goods and many countries. We assume that investors in a given country have homothetic utility functions with the same weights, and a currency that has a sure end-of-period value using a price index with those weights. Siegel's paradox (derived from Jensen's inequality) makes investors want a positive amount of exchange risk. When average risk tolerance is the same across countries, every investor will hold the same mix of market risk (through the world market portfolio of all assets) and exchange risk (in a diversified basket of foreign currencies). In fact, the ratio of exchange risk to market risk is equal to the average investor's risk tolerance. We can write the ratio of exchange risk to market risk (and the fraction of the market's exchange risk that investors hedge) as depending on an average of world market risk premia, an average of world market volatilities, and an average of exchange rate volatilities. The weights in these averages are the same as the weights of the different countries in the currency basket. Given these averages, the ratio (and the fraction hedged) will not depend directly on exchange rate means or covariances. In equilibrium, we can use the ratio of exchange risk to market risk to measure average risk tolerance: in this model, risk tolerance is observable.     

The Effect of Limited Liability on the Market Response to Disclosure*

Abstract. We formalize the effects of an earnings disclosure on security prices under an assumption of limited liability. We derive various nonlinear relations between equity prices and earnings under a variety of capital structure assumptions and. if possible, we tie the relations attained to results from the existing empirical literature. We also characterize how debt prices respond to earnings when holders of debt have limited liability. Finally, we analyze how changes in the degree of leverage and conversion features of debt affect the relation between price and earnings.