Inference for a Class of Stochastic Volatility Models Using Option and Spot Prices: Application of a Bivariate Kalman Filter

In this paper Bayesian methods are applied to a stochastic volatility model using both the prices of the asset and the prices of options written on the asset. Posterior densities for all model parameters, latent volatilities and the market price of volatility risk are produced via a Markov Chain Monte Carlo (MCMC) sampling algorithm. Candidate draws for the unobserved volatilities are obtained in blocks by applying the Kalman filter and simulation smoother to a linearization of a nonlinear state space representation of the model. Crucially, information from both the spot and option prices affects the draws via the specification of a bivariate measurement equation, with implied Black–Scholes volatilities used to proxy observed option prices in the candidate model. Alternative models nested within the Heston (1993) framework are ranked via posterior odds ratios, as well as via fit, predictive and hedging performance. The method is illustrated using Australian News Corporation spot and option price data.     

Neighbourhood Life,Social Capital and Perceptions of Safety in the Western Suburbs of Adelaide

In this paper we report on a South Australian study of perceptions of safety and aspects of neighbourhood life including social capital which involved the analysis of 2400 self‐completed questionnaires. A path analysis found that perceptions of safety were directly associated with gender, age, perceptions of neighbourhood pollution and neighbourhood trust, and indirectly associated with age, neighbourhood pollution and neighbourhood connections. We conclude with a discussion of the implications of the findings for public policy.