Options on crude oil futures are the most actively traded commodity options. We develop a class of computationally efficient discrete-time jump models that allow for closed-form option valuation, and we use crude oil futures and options data to investigate the economic importance of jumps and...

Risk premia are related to price probability ratios or for continuous time pure jump processes the ratios of jump arrival rates under the pricing and physical measures. The variance gamma model is employed to synthesize densities with risk premia seen as the ratio of the three parameters. The...

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...

The advent of quantitative investing has made it increasingly important to understand the performance drivers of systematic strategies that use derivatives, such as those based on the sale of options. In this paper we introduce a new formulaic representation to analyse the performance of...

Equity index risk premia vary more than can be explained by market risks and pricing models. I show that index option intermediaries cause variation in risk premia to manage their option positions. When expected volatility is low, intermediaries hold risky short positions. Increasing risk and...

A measure of risk premium is derived from the comparison of spot and option prices across the US equity and euro dollar markets. Risk premia in both markets co-move with volatility risk. Option prices, however, seem to underreact to changes in return volatility forecasts

Low probability events are overweighted in the pricing of out-of-the-money index puts and single stock calls. This behavioral bias is strongly time-varying, and is linked to equity market sentiment and higher moments of the risk-neutral density. We find that our implied volatility (IV) sentiment...

Low probability events are overweighted in the pricing of out-of-the-money index puts and single stock calls. We find that this behavioral bias is strongly time-varying, linked to equity market sentiment, and higher moments of the risk-neutral density. An implied volatility (IV) sentiment...

With the innovation of derivatives, the Standard and Poor's (S&P) 500 index -- as an underlying asset of the volatility index (VIX) introduced by the Chicago Board Options Exchange (CBOE) -- was adopted as the research subject in this study. Since the financial crisis of 2008, the degree of...

Asymmetric volatility concerns the relation of returns to future expected volatility. Much is known from option prices about the marginal risk-neutral distributions of S&P 500 returns and of relative changes in future expected volatility (VIX). While the bivariate risk-neutral distribution...