In this paper we document that realized variation measures constructed from high-frequency returns reveal a large degree of volatility risk in stock and index returns, where we characterize volatility risk by the extent to which forecasting errors in realized volatility are substantive. Even...

We develop a new targeted maximum likelihood estimation method that provides improved forecasting for misspecified linear autoregressive models. The method weighs data points in the observed sample and is useful in the presence of data generating processes featuring structural breaks, complex...

We use the structure of the Melitz (2003) model to compare the cost of living and welfare across countries, while incorporating product variety measured by the count of barcodes or firms. For 47 countries, we compare welfare relative to the United States to conventional measures of real...