Although exercise prices for executive stock options can be set either below or above the grant-date market price, in practice virtually all options are granted at the money. We offer an economic rationale for this apparent puzzle, by showing that pay-to-performance incentives for risk-averse...

Under Statement of Financial Accounting Standards No. 123, the grant date value of executive stock options excludes the value of any reload feature because, at the time of writing the standard in 1995, the Financial Accounting Standards Board believed it was not feasible to value a reload...

Many business opportunities feature second-mover advantages as there are often positive spillovers and externalities from early entrants to followers. We develop a tractable stochastic duopoly entry game with a second-mover advantage. We show that firms engage in a war-of-attrition game with the...

The historical returns on equity index options are well known to be strikingly negative. That is typically explained either by investors having convex marginal utility over stock returns (e.g. crash/variance aversion) or by intermediaries demanding a premium for hedging risk. This paper examines...

Perpetual futures are contracts without expiration date in which the anchoring of the futures price to the spot price is ensured by periodic funding payments from long to short. We derive explicit expressions for the no-arbitrage price of various perpetual contracts, including linear, inverse,...

The dramatic rise in CEO compensation during the 1990s and early 2000s is a longstanding puzzle. In this paper, we show that much of the rise can be explained by a tendency of firms to grant the same number of options each year. Number-rigidity implies that the grant-date value of option awards...

Given the increasing use of stock options in executive compensation, we examine how taxes influence the choice of compensation and document that income deferral is an important margin of adjustment in response to tax rate changes. To account for this option in the empirical analysis, we explore...

We show that CEOs strategically time corporate news releases to coincide with months in which their equity vests. These vesting months are determined by equity grants made several years prior, and thus unlikely driven by the current information environment. CEOs reallocate news into vesting...

We investigate the importance of ambiguity, or Knightian uncertainty, in executives' decisions about when to exercise stock options. We develop an empirical estimate of ambiguity and include it in regression models alongside the more traditional measure of risk, equity volatility. We show that...

Stocks with large increases in call implied volatilities over the previous month tend to have high future returns while stocks with large increases in put implied volatilities over the previous month tend to have low future returns. Sorting stocks ranked into decile portfolios by past call...