We show that introducing stochastic idiosyncratic operating risk into an equity valuation model of firms with growth options explains two empirical anomalies related to idiosyncratic volatility: the positive contemporaneous relation between stock returns and changes in idiosyncratic return volatility, and the poor performance of stocks with high idiosyncratic volatility. The model further predi...

This paper examines volatility transmission in oil, ethanol and corn prices in the United States between 1997 and 2011. We follow a multivariate GARCH approach to evaluate the level of interdependence and the dynamics of volatility across these markets. Preliminary results indicate a higher interaction between ethanol and corn markets in recent years, particularly after 2006. We only observe, h...

By means of classical Itô’s calculus we decompose option prices as the sum of the classical Black-Scholes formula with volatility parameter equal to the root-mean-square future average volatility plus a term due by correlation and a term due to the volatility of the volatility. This decomposition allows us to develop …rst and second-order approximation formulas for option prices and implied vol...

Recently the Bundesbank claimed that monetary targeting has become considerably more di cult by the increased volatility of short term money growth The present paper investigates the impact of German money growth volatility on income velocity and money demand in view of Friedman s money growth volatility hypothesis Granger causality tests provide some evidence for a velocity volatility linkage ...

This paper investigates nonlinear features of FX volatility dynamics using estimates of daily volatility based on the sum of intraday squared returns. Measurement errors associated with using realized volatility to estimate ex post latent volatility imply that standard time series models of the conditional variance become variants of an ARMAXmodel. We explore nonlinear departures from these lin...

For asset prices that follow stochastic-volatility diffusions, we use asymptotic methods to investigate the behavior of the local volatilities and Black–Scholes volatilities implied by option prices, and to relate this behavior to the parameters of the stochastic volatility process. We also give applications, including risk-premium-based explanations of the biases in some näıve pricing and hedg...

We consider a simple uncertain-volatility model for the asset price underlying a given option market. The asset price volatility is assumed to follow a discrete (actually finite) Markov chain σ, which changes value on some fixed future times. The volatility chain is independent of the Brownian motion governing the future evolution of the asset. Modeling the volatility evolution in this way is e...

We introduce a functional volatility process for modeling volatility trajectories for high frequency observations in financial markets and describe functional representations and data-based recovery of the process from repeated observations. A study of its asymptotic properties, as the frequency of observed trades increases, is complemented by simulations and an application to the analysis of i...

This paper examines the price volatility in the silver spot (cash) market. A host of Generalized Autoregressive Conditional Heteroskedasticity (GARCH) models are used to analyze and gain a better understanding of the volatility of silver prices. We find the TGARCH (1,1) model indicates that both positive and negative shocks do not have a significant effect on volatility in the silver spot marke...