Risk-neutral (RN) and real-world (RW) densities are derived from option prices and risk assumptions, and are compared with historical densities obtained from time series. Two parametric methods that adjust from RN to RW densities are developed, firstly a CRRA risk aversion transformation and...

Asset price volatility appears to be more persistent than can be captured by individual, short memory, autoregressive or moving average components. Fractional integration offers a very parsimonious and tempting formulation of this long memory property of volatility but other explanations such as...

We compare forecasts of the realized volatility of the pound, mark and yen exchange rates against the dollar, calculated from intraday rates, over horizons ranging from one day to three months. Our forecasts are obtained from a short memory ARMA model, a long memory ARFIMA model, a GARCH model...

Using high frequency intraday returns, we calculate the realized volatility of the USD/GBP, USD/DEM and USD/JPY exchange rates. It is shown that the dynamics of the logarithms of realized volatilities can be captured by either a fractionally integrated long memory model or a short memory ARMA...

The volatility information content of stock options for individual firms is measured using option prices for 149 U.S. firms during the period from January 1996 to December 1999. Volatility forecasts defined by historical stock returns, at-the-money (ATM) implied volatilities and model-free (MF)...

The volatility information content of stock options for individual firms is measured using option prices for 149 U.S. firms during the period from January 1996 to December 1999. Volatility forecasts defined by historical stock returns, at-the-money (ATM) implied volatilities and model-free (MF)...

We use, for the first time, a time-varying copula model to investigate the impact of the introduction of the Euro on the dependence between seventeen European stock markets during the period 1994-2003. The model is implemented with a GJR-GARCH-t model for the marginal distributions and the...

The theoretical relationship between the risk-neutral density (RND) of the euro/pound cross-rate and the bivariate RND of the dollar/euro and the dollar/pound rates is derived; the required bivariate RND is defined by the dollar-rate marginal RNDs and a copula function. The cross-rate RND can be...

Previous papers that test whether sentiment is useful for predicting volatility ignore whether lagged returns information might also be useful for this purpose. By doing so, these papers potentially overestimate the role of sentiment in predicting volatility. In this paper we test whether...

A time-varying copula model is used to investigate the impact of the introduction of the Euro on the dependence between seventeen European stock markets during the period 1994-2003. The model is implemented with a GJR-GARCH-MA-t model for the marginal distributions and the Gaussian copula for...