We use Malliavin calculus and the Clark-Ocone formula to derive the hedging strategy of an arithmetic Asian Call option in general terms. Furthermore we derive an expression for the density of the integral over time of a geometric Brownian motion, which allows us to express hedging strategy and...

Recent developments allow a nonparametric separation of the continuous sample path component and the jump component of realized volatility. The jump component has very different time series properties than the continuous component, and accounting for this allows improved forecasting of future...

The yield on the 10-year U.S. Treasury Note is among the most cited interest rates by investors, policymakers, and fnancial institutions. We show that the 10-year Treasury yield's forward-looking volatility, a VIX-style measure that is a proxy for uncertainty about future interest rates, is a...