We study nonparametric estimation of the volatility function of a diffusion process from discrete data, when the data are blurred by additional noise. This noise can be white or correlated, and serves as a model for microstructure effects in financial modeling, when the data are given on an...

The paper outlines and tests, by means of Monte-Carlo simulations, a simple strategy of using existing non-parametric tests for jumps at the daily frequency to identify jumps at higher sampling frequencies. The suggested strategy allow for identi�cation of the number of jumps and jump times...

Discrete time volatility models typically employ a latent scale factor to represent volatility. High frequency data may be used to construct proxies for these scale factors. Examples are the intraday high-low range and the realized volatility. This paper develops a method for ranking and...

The investment-timing problem has been considered by many authors under the assumption that the instantaneous volatility of the demand shock is constant. Recently, Ting et al. [9] carried out an asymptotic approach in a monopoly model by letting the volatility parameter follow a stochastic...

Since March 26, 2004, when the CBOE Futures Exchange (CFE) began trading futures written on S&P500 volatility index (VIX), volatility has become a widely accepted asset class as trading, diversifying and hedging vehicle by traders, investors and portfolio managers over the past few years. On...

This paper provides new insights into expectation-driven cycles by estimating a structural VAR with time-varying coefficients and stochastic volatility. We use survey-based expectations of the unemployment rate to measure expectations of future developments in economic activity. We find that the...

The leverage parameter is shown to turn up as part of the third-order moment when a stochastic volatility process is linearly filtered. If the filter is of the autoregressive class and possesses complex-valued roots or is a Gegenbauer long-memory filter, the leverage effect plays a determinant...

The central banks introduce and implement the monetary and financial stabilities policies, going from the accurate estimations of national macro-financial indicators such as the Gross Domestic Product (GDP). Analyzing the dependence of the GDP on the time, the central banks accurately estimate...

In state-of-the-art macroeconomic and labor market models shocks are assumed to be homoscedastic. However, we show that this assumption is much too restrictive. We �find signifi�cant evidence for strong time-varying volatility in all considered labor market time series. First, we estimate...

Dramatic changes in macroeconomic time series volatility pose a challenge to contemporary vector autoregressive (VAR) forecasting models. Traditionally, the conditional volatility of such models had been assumed constant over time or allowed for breaks across long time periods. More recent work,...