In this article we examine the properties of estimates of realized volatility at various intra-daily sampling frequencies for Brent Crude oil futures traded at the IntercontinentalExchange (ICE). The estimates of realized volatility are subsequently modeled and forecasted to predict day-ahead...

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...

In this paper we propose a simple one-factor quantile regression model based on realized volatility to forecast Value-at-Risk (VaR). The model only uses daily realized volatility as input and thus simplifies estimation substantially compared with most other methodologies currently used to...

For fixed maturity, under the no-arbitrage assumption, futures prices should follow a martingale with respect to the trading time, at least under the pricing measure. Therefore, a prominent display of trading time seasonality under the physical measure raises warning signs and can only occur by...

This paper studies how volatility affects the risk premium in crude oil futures through a discrete-time term structure model with long-run and short-run GARCH-type volatility components. Estimated using WTI crude oil futures data from January 1990 to July 2016, our model simultaneously matches...

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...