The volatility smile and systematic mispricing of the Black-Scholes option pricing model are the typical motivation for examining stochastic processes other than geometric Brownian motion to describe the underlying stock price. In this paper a new stochastic process is presented, which is a...

The purpose of this paper is to consider how to forecast implied volatility for a selection of UK companies with traded options on their stocks. The authors consider a range of GARCH and log--ARFIMA based models as well as some simple forecasting models. Overall, it is found that a log-ARFIMA...

Recalling the class of risk measures introduced by Stone (1973), the authors survey measures from several academic disciplines including psychology, economics and finance, which have been introduced since 1973. They introduce a general class of risk measures which extends Stone's class to...

This paper proposes the unobserved fundamental component of volatility as a measure of risk. This concept of fundamental volatility may be more meaningful than observed volatility for market regulators. Fundamental volatility may be obtained using a stochastic volatility model. The authors...

This paper extends the model of Heston and Rouwenhorst (1994) to investigate the effects of size, value, industry, and country factors on the volatility of stock returns in international stock markets. Country factors dominate the other factors in explaining the return variation. The second most...

The purpose of this paper is to build an asset pricing model for emerging markets using higher moments. It is well-known that conventional CAPM models fail to explain the risk present in the data. The contribution of this paper is to use an extended CAPM that explicitly involves measures of...

An interesting literature in management science and operations research has dealt with the link between expected utility, risk and preference switches over gambles due to changes in wealth. However, no attention is paid to the specific nature of the gambles. All gambles are essentially assumed...

If Y = (Y 1,…,Y N) are the log-returns of an asset on succeeding days, then under the assumptions of the Black-Scholes option pricing formula, these are independent normal random variables with common mean and variance in the risk-neutral measure. If we can show empirically that Y does not...