How marketability affects security prices is one of the most important issues in finance. We derive a simple analytical upper bound on the value of marketability using option-pricing theory. We show that discounts for lack of marketability can potentially be large even when the illiquidity period is very short. This analysis also provides a benchmark for assessing the potential costs of exchange rules and regulatory requirements restricting the ability of investors to trade when desired. Furthermore, these results provide new insights into the relation between discounts for lack of marketability and the length of the marketability restriction.

How marketability affects security prices is one of the most important issues in finance. We derive a simple analytical upper bound on the value of marketability using option‐pricing theory. We show that discounts for lack of marketability can potentially be large even when the illiquidity period is very short. This analysis also provides a benchmark for assessing the potential costs of exchange rules and regulatory requirements restricting the ability of investors to trade when desired. Furthermore, these results provide new insights into the relation between discounts for lack of marketability and the length of the marketability restriction.

Empirical evidence of time varying term premia in bond returns is frequently interpreted as evidence against the Expectations Hypothesis. This paper shows that the Expectations Hypothesis can actually imply time varying term premia if the time frame for which the Expectations Hypothesis holds differs from the return measurement period. Furthermore, many of the properties of these term premia are consistent with those of observed term premia. These results are important because they imply that the case against the Expectations Hypothesis is weaker than claimed in the empirical literature.

Many common types of financial contracts incorporate options with extendible maturities. This paper derives closed-form expressions for options that can be extended by the optionholder and presents a number of applications including the valuation of American options with stochastic dividends, junk bonds, and shared-equity mortgages. We also derive closed-form expressions for writer-extendible options and discuss the writer's economic incentives for extending an out-of-the-money option. We apply these results to show that corporate debtholders have a strong incentive to extend the maturity of defaulting debt if there are liquidation costs. We model and solve the debtholders' optimal extension problem and show that the possibility of an extension can induce shareholders in highly levered firms to accept negative NPV projects.

Empirical evidence of time varying term premia in bond returns is frequently interpreted as evidence against the Expectations Hypothesis. This paper shows that the Expectations Hypothesis can actually imply time varying term premia if the time frame for which the Expectations Hypothesis holds differs from the return measurement period. Furthermore, many of the properties of these term premia are consistent with those of observed term premia. These results are important because they imply that the case against the Expectations Hypothesis is weaker than claimed in the empirical literature.

Many common types of financial contracts incorporate options with extendible maturities. This paper derives closed‐form expressions for options that can be extended by the optionholder and presents a number of applications including the valuation of American options with stochastic dividends, junk bonds, and shared‐equity mortgages. We also derive closed‐form expressions for writer‐extendible options and discuss the writer's economic incentives for extending an out‐of‐the‐money option. We apply these results to show that corporate debtholders have a strong incentive to extend the maturity of defaulting debt if there are liquidation costs. We model and solve the debtholders' optimal extension problem and show that the possibility of an extension can induce shareholders in highly levered firms to accept negative NPV projects.

We examine how the empirical implications of the Capital Asset Pricing Model (CAPM) are affected by the length of the period over which returns are measured. We show that the continuous‐time CAPM becomes a multifactor model when the asset pricing relation is aggregated temporally. We use Hansen's Generalized Method of Moments (GMM) approach to test the continuous‐time CAPM at an unconditional level using size portfolio returns. The results indicate that the continuous‐time CAPM cannot be rejected. In contrast, the discrete‐time CAPM is easily rejected by the tests. These results have a number of important implications for the interpretation of tests of the CAPM which have appeared in the literature.

We find that Treasury floating rate notes (FRNs) trade at a significant premium relative to the prices of Treasury bills and notes. This premium is directly related to the near-constant nature of FRN prices and is correlated with measures reflecting investor demand for safe assets. Money market funds are often the primary investors in FRNs, and the FRN premium is related to flows into funds with fixed net asset values, but not to flows into funds with variable net asset values. These results provide strong evidence that the FRN premium represents a convenience yield for the mark-to-market stability feature of FRNs.

Corporate cash flows are highly volatile and strongly procyclical. We examine the asset-pricing implications of the sensitivity of corporate cash flows to economic shocks within a continuous-time model in which dividends are a stochastic fraction of aggregate consumption. We provide closed-form solutions for stock values and show that the equity premium can be represented as the sum of three components which we call the consumption-risk, event-risk, and corporate-risk premia. Calibrated to historical data, the model implies a total equity premium many times larger than in the standard model. The model also generates levels of equity volatility consistent with those experienced in the stock market.