This paper revisits the proposal to use options in corporate bankruptcy that was put forward in Bebchuk (1988). According to the proposed procedure, corporate bankruptcy should be implemented through the distribution to participants of appropriately designed options. The paper starts by...

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...

In the setting of affine' jump-diffusion state processes, this paper provides an analytical treatment of a class of transforms, including various Laplace and Fourier transforms as special cases, that allow an analytical treatment of a range of valuation and econometric problems. Example...

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...

Due to their short lifespans and migrating moneyness, options are notoriously difficult to study with the factor models commonly used to analyze the risk-return trade-off in other asset classes. Instrumented principal components analysis solves this problem by tracking contracts in terms of...

We propose implied spreads (IS) and normalized implied spreads (NIS) as simple measures to characterize option prices. IS is the credit spread of an option's implied bond, the portfolio long a risk-free bond and short a put option. NIS normalizes IS by the risk-neutral default probability and...

This paper is an overview of empirical options research, with primary emphasis on research into systematic stochastic volatility and jump risks relevant for pricing stock index options. The paper reviews evidence from time series analysis, option prices and option price evolution regarding those...

History suggests the following stylized facts about default on sovereign debt:(1) Defaults are associated with identifiably bad states of the world. (2) Defaults are usually partial, rather than complete.(3) Sovereign states usually are able to borrow again soon after a default. Motivated by...

The well-known option pricing formula of Black and Scholes depends upon the assumption that price fluctuations are log-normal. However, this formula greatly underestimates the value of options with a low probability of being exercised if, as appears to be more nearly the case in most markets,...