We consider forward rate rate models of HJM type, as well as more general infinite dimensional SDEs, where the volatility/diffusion term is stochastic in the sense of being driven by a separate hidden Markov process. Within this framework we use the previously developed Hilbert space realization...

The notion of model-free implied volatility (MFIV), constituting the basis for the highly publicized VIX volatility index, can be hard to measure with accuracy due to the lack of precise prices for options with strikes in the tails of the return distribution. This is reflected in practice as the...

The lead-lag relationship in both returns and volatilities between spot and futures markets has been investigated extensively in the financial economics literature. Only a limited number of such studies have appeared on forward markets, primarily due to the lack of easy access to empirical data....

The detrended implied volatility of commodity options (VOL) forecasts the cross section of the commodity futures returns significantly. A zero-cost strategy that is long in low VOL and short in high VOL commodities yields an annualized return of 12.66% and a Sharpe ratio of 0.69. Notably, the...

In perfectly frictionless and rational markets, spot markets and futures markets should simultaneously reflect new information. However, due to market imperfections, one of these markets may reflect information faster than the other and therefore may lead to the other. This study examines the...

This research studies determinants of silver futures price volatility in Thailand Futures Exchange using generalized autoregressive conditional heteroskedasticity model. The sample data consist of daily closing price, volume, and open interest of silver futures from the period June 21, 2011 to...

Modelling portfolio credit risk is one of the crucial challenges faced by financial services industry in the last few years. We propose the valuation model of collateralized debt obligations (CDO) based on copula functions with up to three parameters, with default intensities estimated from...

This paper addresses several theoretical and practical issues in option pricing and implied volatility calibration in a fractional Black-Scholes market. In particular, we discuss how the fractional Black-Scholes model admits a non-constant implied volatility term structure when the Hurst...