Empirical studies of the "shoe-leather" costs of inflation are typically computed using M1 as a measure of money. Yet, official data on M1 includes all currency issued, regardless of the country of residence of the holder. Using monetary data adjusted for US dollars abroad, we show that the...

We document a consistent and robust relation between expected equity premia and common risk factors constructed on the basis of small stocks. Empirically, we show that (i) small-stock components of traditional value and momentum factors capture patterns in returns on regional and global...

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...